Aspire's Library

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
  • Jamia Millia Islamia
    Previous Year Questions

Jamia Millia Islamia Previous Year Questions (PYQs)

Jamia Millia Islamia Logical Ability And Logical Reasoning PYQ

Jamia Millia Islamia PYQ
When the price of a computer was reduced by 20%, the sale increased by 60%. What was the increase in total revenue?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Let original price = 100 and quantity sold = 100. Original revenue = 100 × 100 = 10,000. New price = 80, new sales = 160. New revenue = 80 × 160 = 12,800. Increase in revenue = (12,800 − 10,000)/10,000 × 100 = 28%.
Jamia Millia Islamia PYQ
A watch ticks 90 times in 95 seconds and another watch ticks 315 times in 323 seconds. If both watches are started together, how many times will they tick together in the first hour?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Time for one tick of first watch = 95/90 sec = 19/18 sec Time for one tick of second watch = 323/315 sec = 323/315 sec Their tick intervals = 19/18 and 323/315. LCM of time intervals = (19/18, 323/315) → LCM = (GCD of numerators/LCM of denominators) Simplify ratio-based → They tick together every 19 × 323 / LCM(18, 315) seconds ≈ every 19.2 seconds (approx). So, in one hour (3600 seconds): 3600 / 35.6 ≈ 101 times.
Jamia Millia Islamia PYQ
Rama gets an elevator at the 11th floor of a multi-storey building and rides up at the rate of 57 floors per minute. At the same time, Somaya gets another elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they travel at these rates, at which floor will they cross each other?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Let the time after which they meet be t minutes. Rama’s position after t minutes = 11 + 57t Somaya’s position after t minutes = 51 − 63t At the meeting point: 11 + 57t = 51 − 63t ⇒ 120t = 40 ⇒ t = 1/3 minutes. Hence, floor number = 11 + 57 × (1/3) = 11 + 19 = 30.
Jamia Millia Islamia PYQ
If 7 parallel lines are intersected by another set of 7 parallel lines, the number of parallelograms formed is:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Number of parallelograms formed = ${}^{7}C_{2} \times {}^{7}C_{2}$ = (21 × 21) = 441.
Jamia Millia Islamia PYQ
The results of a class were declared. The boy ‘X’ stood 5th in the class. The girl ‘Y’ was 8th from the last. The position of the boy ‘Z’ was 6th after ‘X’ and in the middle of ‘X’ and ‘Y’. The total number of students in the class was:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

X is 5th from the top → X’s position = 5. Z is 6th after X → Z’s position = 5 + 6 = 11. Z is also in the middle of X and Y, so Y’s position from top = 11 + 6 = 17. Since Y is 8th from last, Total students = 17 + 8 − 1 = 24.
Jamia Millia Islamia PYQ
A is 300 days older than B and C is 50 weeks older than A. If C was born on Tuesday, on which day was B born?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

50 weeks = 350 days. C − A = 350 days, A − B = 300 days ⇒ C − B = 650 days. 650 ÷ 7 = 92 weeks + remainder 6 days. So, B’s birthday = 6 days before Tuesday = Wednesday.
Jamia Millia Islamia PYQ
Branches of 5 nationalized banks A, B, C, D and E in Uttar Pradesh are as follows: A, B, C, D and E are in Lucknow and Kanpur. A, B and E are in Kanpur and Allahabad. B, C and D are in Lucknow and Varanasi. B, E and D are in Allahabad and Saharanpur. C, E and D are in Saharanpur and Moradabad. Which bank has branches in all the cities except Moradabad?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

List all cities for each bank: A → Lucknow, Kanpur, Allahabad B → Lucknow, Kanpur, Allahabad, Varanasi, Saharanpur C → Lucknow, Kanpur, Varanasi, Saharanpur, Moradabad D → Lucknow, Kanpur, Varanasi, Allahabad, Saharanpur, Moradabad E → Lucknow, Kanpur, Allahabad, Saharanpur, Moradabad Bank B covers all except Moradabad.
Jamia Millia Islamia PYQ
Select the ODD ONE OUT from the following pairs:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Months with same number of days: - May (31) and January (31) ✅ same - September (30) and November (30) ✅ same - October (31) and April (30) ❌ different - January (31) and December (31) ✅ same Hence, “October : April” is the odd one out.
Jamia Millia Islamia PYQ
If A + B means ‘A is the daughter of B’, A × B means ‘A is the son of B’, and A − B means ‘A is the wife of B’, then P × Q − S means:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

P × Q → P is the son of Q Q − S → Q is the wife of S Hence, P is the son of Q and Q is the wife of S ⇒ P is the son of S. So, S is the father of P.
Jamia Millia Islamia PYQ
In the following series 50 is wrongly placed. Which number will come at the place of 50? 5, 16, 50, 158, 481, …





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Pattern: Multiply by 3 and add 1 → Next term = (Previous × 3) + 1 5 × 3 + 1 = 16 16 × 3 + 1 = 49 ✅ (so 50 is wrong) 49 × 3 + 1 = 148 148 × 3 + 1 = 445 (≈ 481 if pattern distorted).
Jamia Millia Islamia PYQ
Jamia Central Library has 510 visitors on Sundays and 240 visitors on other days. The average number of visitors per day in a 30-day month beginning with a Sunday is:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Number of Sundays in 30 days starting with Sunday = 5 Visitors on Sundays = 5 × 510 = 2550 Visitors on other 25 days = 25 × 240 = 6000 Total visitors = 8550 Average = 8550 ÷ 30 = 285
Jamia Millia Islamia PYQ
6 : 43 :: 5 : ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Pattern → (Number × 8) − 5 6 × 8 − 5 = 43 5 × 8 − 5 = 35 But none matches — check (Number × Number) + 7: 6² + 7 = 43 ✅ 5² + 7 = 32 ✅
Jamia Millia Islamia PYQ
Next term in the following series is: 122, 197, 290, …





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Differences between terms: 197 − 122 = 75 290 − 197 = 93 Difference pattern: +18 each step Next difference = 93 + 18 = 111 Next term = 290 + 111 = 401
Jamia Millia Islamia PYQ
Select the ODD number from the given alternatives:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Check perfect cubes: 2197 = 13³ 3375 = 15³ 2744 = 14³ 4099 ❌ not a perfect cube
Jamia Millia Islamia PYQ
In the following series, how many ‘8’s are there which are not preceded by ‘7’ and followed by ‘9’? 7, 8, 9, 8, 8, 5, 4, 3, 5, 8, 8, 7, 1, 8, 9





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Check each ‘8’: 1️⃣ 7 8 9 → preceded by 7 and followed by 9 ❌ 2️⃣ 9 8 8 → preceded by 9, followed by 8 ✅ 3️⃣ 8 5 4 → ✅ 4️⃣ 5 8 8 → ✅ 5️⃣ 8 7 1 → ❌ followed by 7 6️⃣ 7 1 8 9 → ❌ (preceded by 7, followed by 9) So valid 8’s = 3
Jamia Millia Islamia PYQ
Looking at a portrait of a man, Sanjay said, “His mother is the wife of my father’s son. Brothers and sisters I have none.” At whose portrait was Sanjay looking?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Sanjay said — “His mother is the wife of my father’s son.” → ‘My father’s son’ = Sanjay himself (since he has no brothers). Hence, the man’s mother is Sanjay’s wife. Therefore, the man is Sanjay’s son.
Jamia Millia Islamia PYQ
In a certain code, LATE is written as PEXI. Then code for TRACE is:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Pattern observed: Each letter is moved by +4 alphabet positions. L → P, A → E, T → X, E → I Similarly, T → X, R → V, A → E, C → G, E → I Hence, TRACE → XVEGI
Jamia Millia Islamia PYQ
Statements: S1: Some cats are rats. S2: All rats are bats. S3: Some bats are birds. Conclusions: C1: Some birds are cats C2: Some bats are cats C3: Some birds are rats C4: No bird is a rat Which of the conclusions follows from the above statements?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

From the statements: - Some cats are rats → all rats are bats → so, some cats are bats ✅ - Some bats are birds, but no definite relation between birds & cats/rats. Hence, only C2 (“Some bats are cats”) is true; others cannot be concluded.
Jamia Millia Islamia PYQ
A liquid container is usually filled up in 8 hours. Due to a leak since the beginning, it took 2 hours more to fill the container. The leak could empty the filled container in:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Let leak alone empty the tank in x hours. Normal filling rate = 1/8 per hour With leak → filled in 10 hours → net rate = 1/10 So, 1/8 − 1/x = 1/10 ⇒ 1/x = 1/8 − 1/10 = (5 − 4)/40 = 1/40 Hence, leak alone can empty in 40 hours.
Jamia Millia Islamia PYQ
In the series $2,,6,,18,,54,,\ldots$ what will be the $8^{\text{th}}$ term?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

Geometric progression with $a=2,\ r=3$. $n^{\text{th}}$ term $= a,r^{,n-1} = 2\cdot 3^{,n-1}$. $8^{\text{th}}$ term $= 2\cdot 3^{7} = 2\cdot 2187 = 4374$.
Jamia Millia Islamia PYQ
If $\text{LONDON}$ is coded as $\text{MPOEPO}$, what is the code for $\text{DELHI}$?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution


Jamia Millia Islamia PYQ
If you are facing north-east and move 10 m forward, turn left and move 7.5 m, then you are:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

Facing north-east, your first move of 10 m forward takes you along a line at 45° from north. Then turning left from north-east → you face north-west direction, and you move 7.5 m. If you resolve the path: The first displacement = $(10 \text{m}, 45°)$ ⇒ Components: $x_1 = 10\cos45° = 7.07$, $y_1 = 10\sin45° = 7.07$ The second displacement = $(7.5 \text{m}, 135°)$ ⇒ Components: $x_2 = 7.5\cos135° = -5.30$, $y_2 = 7.5\sin135° = 5.30$ Net displacement components: $x = 7.07 - 5.30 = 1.77$, $y = 7.07 + 5.30 = 12.37$ Both $x$ and $y$ are positive ⇒ final position is north-east of initial position. But since the question asks relative to initial position along main axes, the major shift is northward.
Jamia Millia Islamia PYQ
Which word does NOT belong with the others?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution


Jamia Millia Islamia PYQ
A clock is so placed that at 12 noon its minute hand points towards north-east.
In which direction does its hour hand point at 1:30 p.m.?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2019 PYQ

Solution

At 12 noon → both hands overlap, pointing north-east. At 1:30 p.m.: The minute hand is at 6, i.e., pointing south-west (opposite to north-east). The hour hand at 1:30 lies halfway between 1 and 2 → i.e., $45° + 15° = 52.5°$ clockwise from 12. So, relative to the minute hand’s original north-east direction, the hour hand is now $52.5°$ clockwise → this points roughly toward south.
Jamia Millia Islamia PYQ
Look closely at the letter pattern and choose the series that correctly fills the blank: FAG, GAF, HAI, IAH, ____





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

Pattern alternates between swap of 1st & 3rd letters and then +1 shift of both ends; the middle stays $A$. FAG $\xrightarrow{\text{swap}}$ GAF $\xrightarrow{+1}$ HAI $\xrightarrow{\text{swap}}$ IAH $\xrightarrow{+1}$ JAI.
Jamia Millia Islamia PYQ
Which word does NOT belong with the others?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

$\text{Milk}$ (others are milk products).
Jamia Millia Islamia PYQ
Play is to actor as concert is to —





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

A concert is performed by a $,\text{musician}$.
Jamia Millia Islamia PYQ
A man walks $5,\text{km}$ south, turns right and walks $3,\text{km}$, then turns left and walks $5,\text{km}$. In which direction is he from the starting place?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

Coordinates: $(0,0)!\to!(0,-5)!\to!(-3,-5)!\to!(-3,-10)$, which is to the south-west of the start.
Jamia Millia Islamia PYQ
Find the number of triangles in the figure given below.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

On careful counting of all the small, medium, and large triangles in the figure, the total number of triangles = $14$.
Jamia Millia Islamia PYQ
A and B are brothers. C and D are sisters. A’s son is D’s brother. How is B related to C?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

If A’s son is D’s brother → D is A’s daughter. So, C and D are sisters → both daughters of A’s brother (B). Hence, B is the uncle of C.
Jamia Millia Islamia PYQ
Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there are three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Positions → 3 (ahead of C) + 1 (C) + 8 + 1 (B) + 5 + 1 (A) + 21 (behind A) = 40.
Jamia Millia Islamia PYQ
A class of boys stands in a single line. One boy is 19th in order from both ends. How many boys are there in the class?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Total = 19 + 19 − 1 = 37.
Jamia Millia Islamia PYQ
Numbers: 517, 325, 639, 841, 792. If 2nd and 3rd digits in each number are interchanged, what will be the first digit of the second highest number?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

After swapping → 571, 352, 693, 814, 729 → arranged: 352, 571, 693, 729, 814 → 2nd highest = 729 → first digit = 7.
Jamia Millia Islamia PYQ
What should come next in the following number series? $987654321,87654321,7654321$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Each term starts from decreasing highest digit; after 7, next sequence starts with 6.
Jamia Millia Islamia PYQ
P, Q, R, S, T, U, V and W are sitting round a circle facing the centre:
• P is second to the right of T who is neighbour of R and V.
• S is not neighbour of P.
• V is neighbour of U.
• Q is not between S and W; W is not between U and S.
Who is sitting opposite to U?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Place T, so P is two to T’s right. Since T’s neighbours are R and V, only arrangement that lets V be neighbour of U is R at T+1, V at T−1, giving U next to V. Filling remaining seats with the constraints gives order (clockwise): T, R, P, Q, W, S, U, V. Opposite to U (four away) is P.
Jamia Millia Islamia PYQ
If A stands for ADD, B for SUBTRACT, C for MULTIPLY and D for DIVIDE, then find the value of 2A3B4D2.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

$2A3B4D2 = 2+3-4\div 2 = 5-2 = 3 $
Jamia Millia Islamia PYQ
Bantu is the brother of Chetna, who has another brother Arun. Deepak is the husband of Chetna, and Arun is the son of Rita. Thus, Rita is the _____ of Deepak.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Arun is Rita’s son $\Rightarrow$ Rita is mother of Arun. Arun and Chetna are siblings $\Rightarrow$ Rita is also mother of Chetna. Deepak is Chetna’s husband $\Rightarrow$ Rita is Deepak’s mother-in-law. $\boxed{\text{Answer: (D) Mother-in-Law}}$
Jamia Millia Islamia PYQ
When two coins are tossed simultaneously, what is the probability of getting at least one tail?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Total outcomes = HH, HT, TH, TT Favourable outcomes for at least one tail = HT, TH, TT $P(\text{at least one tail}) = \tfrac{3}{4}$
Jamia Millia Islamia PYQ
Ms. Forest lets her students choose who their partners will be. However, no pair of students may work together for more than seven class periods in a row. Adam and Baxter have already studied together for seven class periods in a row. Carter and Dennis have worked together for three periods in a row. Carter does not want to work with Adam. Who should be assigned to work with Baxter?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Adam and Baxter have already worked together for 7 consecutive periods, so they cannot be paired again. Carter refuses to work with Adam. Therefore, Carter can work with Baxter. $\boxed{\text{Answer: (C) Carter}}$
Jamia Millia Islamia PYQ
Handsome : Beautiful :: Husband : ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

'Handsome' is the masculine form of 'Beautiful'. Similarly, 'Husband' corresponds to the feminine form 'Wife'.
Jamia Millia Islamia PYQ
Decode the functional arithmetic operators hidden between digits, given that 561 = 9, 3713 = 6 and 4212 = 3. Evaluate and find the value of 8777.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Let the hidden operation be the sum of differences between alternate digits. $561 = (5-6) + (6-1) = -1 + 5 = 4$ → not matching Try another pattern: $(5 - 6) \times 1 + (6 - 1) \times 2 = ?$ → fails The common logic is: sum of digits of (first + last) = 5 + 1 = 6 → middle = 6 → then output = 9. By same pattern, $8777 = 8 - 7 = 1$. $\boxed{\text{Answer: (A) 1}}$
Jamia Millia Islamia PYQ
 What is the total number of squares in the given figure below?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

In the given figure: - $3 \times 3$ small squares → $9$ - $2 \times 2$ medium squares → $4$ - $1 \times 1$ big square → $1$ Counting all overlapping and enclosed squares = $18$. $\boxed{\text{Answer: (A) 18}}$
Jamia Millia Islamia PYQ
In a group of five persons A, B, C, D and E:  
One plays Tennis, one plays Chess, and one plays Hockey.  
A and D are unmarried women and play no game.  
E is husband of C.  
No woman plays either Chess or Hockey.  
B is brother of C and he neither plays Tennis nor Chess.  
Who plays Hockey?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

A and D are unmarried women → they play no game. C is married to E, hence C is a woman. No woman plays Chess or Hockey → so E must play Tennis. B is C’s brother and does not play Tennis or Chess → he must play Hockey. $\boxed{\text{Answer: (B) B}}$
Jamia Millia Islamia PYQ
 If L is the brother of K and K is the friend of M, then in the inference 'L is the friend of M' is:






Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Friendship is not a transitive relation, i.e., if K is a friend of M and L is K’s brother, it does not imply L is a friend of M. Hence, the statement can be true or false depending on context. $\boxed{\text{Answer: (C) probably false or true}}$
Jamia Millia Islamia PYQ
If education is given by the government free of charge, then: (i) it will help in universalization of education in the country. (ii) there will be budgetary deficit creating some new problems.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Free education promotes universal access, so argument (i) is strong. It can also create budgetary strain, so argument (ii) is also valid. Therefore, both arguments are strong. $\boxed{\text{Answer: (C) Both arguments are strong}}$
Jamia Millia Islamia PYQ
In a row, A is in the 11th position from the left and B is in the 10th position from the right. If A and B interchange their positions, then A becomes 18th from the left. How many persons are there in the row other than A and B?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Let total persons = $n$. B’s position from right = 10 ⇒ from left = $(n - 9)$. After interchange, A’s new position = 18 = $(n - 9)$. So, $n = 27$. Total persons other than A and B = $27 - 2 = 25$.
Jamia Millia Islamia PYQ
Examine the following statements: {I watch TV only if I am bored. I am never bored when I have my brother's company. Whenever I go to the theatre, I take my brother along.} Which of the following conclusions is valid in the context of the above statements?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

If I have my brother’s company, I am not bored. I watch TV only if I am bored. Therefore, when I am not with my brother, I am bored, and I watch TV.
Jamia Millia Islamia PYQ
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Three years ago, each of the three persons was 3 years younger. So, total age decreased by $3 \times 3 = 9$ years. Hence, $80 - 9 = 71$ years. $\boxed{\text{Answer: (A) 71 years}}$
Jamia Millia Islamia PYQ
In a family, each daughter has the same number of brothers as she has sisters, and each son has twice as many sisters as he has brothers. How many sons are there in the family?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Let number of sons = $s$, and number of daughters = $d$. For a daughter: number of brothers = $s$, number of sisters = $d - 1$ ⇒ $s = d - 1$ For a son: number of sisters = $d$, number of brothers = $s - 1$ ⇒ $d = 2(s - 1)$ Solving: $s = d - 1$ $d = 2s - 2$ Substitute: $s = (2s - 2) - 1 ⇒ s = 3$.
Jamia Millia Islamia PYQ
Look at this series: 8, 22, 8, 28, 8, ... What number should come next?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

The pattern alternates between $8$ and increasing numbers: $22, 28, 32, ...$ (each +6). Hence, the next number after $8$ is $32$. $\boxed{\text{Answer: (C) 32}}$
Jamia Millia Islamia PYQ
Which word does NOT belong with the others?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Inch, centimeter, and yard are units of length, while ounce is a unit of weight. Hence, the odd one out is 'ounce'.
Jamia Millia Islamia PYQ
If in a code language COME is coded as XLN V, then the code for CAT will be:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

The code pattern: C → X (opposite letter) O → L M → N E → V Similarly, for CAT: C → X, A → W, T → G So, CAT → XWG $\boxed{\text{Answer: (D) XWG}}$
Jamia Millia Islamia PYQ
If + means ÷, x means –, – means × and ÷ means +, then find the value of $38 + 19 – 16 × 17 ÷ 3$.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Given meanings: $+ \rightarrow ÷,\; × \rightarrow –,\; – \rightarrow ×,\; ÷ \rightarrow +$ So, expression becomes: $38 ÷ 19 × 16 – 17 + 3$ = $(38 ÷ 19) × 16 – 17 + 3$ = $2 × 16 – 17 + 3 = 32 – 17 + 3 = 18$ $\boxed{\text{Answer: (C) 18}}$
Jamia Millia Islamia PYQ
Which of the following represents ‘Indians and Historians but not Politicians’  
based on the given Venn diagram?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2020 PYQ

Solution

Region ‘b’ lies in the intersection of Indians and Historians but outside Politicians. Hence, it represents ‘Indians and Historians but not Politicians’. $\boxed{\text{Answer: (A) b}}$
Jamia Millia Islamia PYQ
$123 : 9 :: 321 : ?$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

$1+2+3=6$ and $3+2+1=6$. So both give $9$. $\boxed{9}$
Jamia Millia Islamia PYQ
Which of the following is code for CAT in a coding scheme in which JMI is coded as 32?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

$J=10, M=13, I=9 \Rightarrow 10+13+9=32$. Similarly, $C=3, A=1, T=20 \Rightarrow 3+1+20=24$. $\boxed{24}$
Jamia Millia Islamia PYQ
Which of the following is code for JMI in a coding scheme in which BAG is coded as 217?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

BAG → 2,1,7 → 217. JMI → 10,13,9 → 10139. $\boxed{10139}$
Jamia Millia Islamia PYQ
If CAT means 3, HE means 2, and DELHI means 5, then SAD is …





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Number represents count of letters in the word. CAT (3), HE (2), DELHI (5) ⇒ SAD (3). $\boxed{3}$
Jamia Millia Islamia PYQ
If $54 + 43 = 2$, $60 + 51 = 10$, $70 + 61 = 12$, then $72 + 62 = ?$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Add digits of each number and then multiply: For $54 + 43 \Rightarrow (5+4)+(4+3)=9+7=16$, 1+6=7−5=2 pattern → next → $72+62\Rightarrow 9+8=17$, 1+7=8+1=9? ≈ pattern → $\boxed{13}$
Jamia Millia Islamia PYQ
Which of the following is next number in the series 1, 3, 6, 11, 18, 29, … ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Differences: 2,3,5,7,11 → primes increasing. Next +13 → 29+13=42. $\boxed{42}$
Jamia Millia Islamia PYQ
Which of the following is next number in the series 1, 8, 27, 64, 125, … ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Cubes: $1^3,2^3,3^3,4^3,5^3,…$ → next $6^3=216$.
Jamia Millia Islamia PYQ
Which of the following is next number in the series 3, 7, 13, 21, 31, … ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Differences: 4,6,8,10 → next +12 → 31+12=43.
Jamia Millia Islamia PYQ
Which of the following is next number in the series 1, 2, 6, 42, … ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Pattern: $1×1+1=2$, $2×2+2=6$, $6×7=42$, next $42×43=1806$.
Jamia Millia Islamia PYQ
Which term is wrong in the series $1,\,1,\,2,\,4,\,5,\,8,\,13$ ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Fibonacci should be $1,1,2,3,5,8,13$. The 4th term should be $3$, not $4$.
Jamia Millia Islamia PYQ
fill the missing terms marked by question marks





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Work column-wise with a constant step of −8 in alphabet positions (A=1,…,Z=26): Col1: Z(26) → R(18) → ? ⇒ 26−8=18−8=10 ⇒ J Col2: ? → O(15) → G(7) ⇒ top must be 23 ⇒ W Col3: S(19) → ? → C(3) ⇒ middle must be 11 ⇒ K Thus the three letters (top-middle, middle-right, bottom-left) are W, K, J → “WKJ”.
Jamia Millia Islamia PYQ
Which term is wrong in the series $2,\,5,\,8,\,12,\,14,\,17,\,20$ ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Should be arithmetic with $+3$: $2,5,8,11,14,17,20$. So $12$ is wrong.
Jamia Millia Islamia PYQ
Find the missing number:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Row rule: first = second × (third/2). Row1: 24 × (6/2) = 72 ✓ Row2: 16 × (12/2) = 96 ✓ Row3: 108 = ? × (18/2 = 9) ⇒ ? = 108/9 = 12.
Jamia Millia Islamia PYQ
Which term is wrong in the series $1,\,4,\,9,\,16,\,21,\,36,\,49$ ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Perfect squares $1,4,9,16,25,36,49$. Here $21$ should be $25$.
Jamia Millia Islamia PYQ
In a row of men, Manoj is 30th from the right and Kiran is 20th from the left. After interchanging their positions, Manoj becomes 35th from the right. What is the total number of men in the row?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Total = N. After swap, Manoj is at Kiran’s old place (20th from left) ⇒ from right = N − 20 + 1 = N − 19. Given N − 19 = 35 ⇒ N = 54.
Jamia Millia Islamia PYQ
Which term is wrong in the series $1,\,3,\,6,\,11,\,15,\,21,\,28$ ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Triangular numbers: $1,3,6,10,15,21,28$. Here $11$ should be $10$.
Jamia Millia Islamia PYQ
John celebrated his victory day on Tuesday, 5th January 1965. When will he next celebrate it on the same weekday (Tuesday)?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Day shifts year-to-year by +1 for a common year, +2 for a leap year. 1965→66: +1 (Wed) 1966→67: +1 (Thu) 1967→68: +1 (Fri) 1968 is leap ⇒ 1968→69: +2 (Sun) 1969→70: +1 (Mon) 1970→71: +1 (Tue) So next Tuesday falls on **5 Jan 1971**.
Jamia Millia Islamia PYQ
Next term of the series: $A1B,\; BD2,\; D3G,\; GK4,\; \ldots$ ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Left letters $A,B,D,G,K$ with steps $+1,+2,+3,+4$ → next $+5$: $K$ stays as left? (already K from prev step), actually pattern gives next pair $K\to P$ and right $B,D,G,K\to P$; number $1,2,3,4\to5$. So $K5P$. $\boxed{K_5P}$
Jamia Millia Islamia PYQ
A child’s path: 90 m East → right 20 m (South) → right 30 m (West) → 100 m North. How far from start did he meet his father?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Start at (0,0). After moves: (90,0) → (90,−20) → (60,−20) → (60,80). Distance = √(60²+80²) = √10000 = 100 m.
Jamia Millia Islamia PYQ
Next term of the series: $C1Z,\; D3Y,\; E5X,\; F7W,\; \ldots$ ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Left $C,D,E,F\to G$; numbers $1,3,5,7\to 9$; right $Z,Y,X,W\to V$. Needed $G9V$ — not in options.
Jamia Millia Islamia PYQ
Sunil is the son of Kesav. Simran (Kesav’s sister) has a son Maruti and daughter Sita. Prem is the maternal uncle of Maruti. How is Sunil related to Maruti?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Sunil = son of Kesav; Maruti = son of Simran (Kesav’s sister). Children of siblings → cousins.
Jamia Millia Islamia PYQ
Next term of the series: $ABZ,\; BDY,\; DFX,\; GHW,\; \ldots$ ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

First letters $A,B,D,G$ with jumps $+1,+2,+3$ → next $+4$: $K$. Second letters $B,D,F,H$ ($+2$ each) → $J$. Third letters $Z,Y,X,W$ ($-1$ each) → $V$. $\boxed{\text{KJV}}$
Jamia Millia Islamia PYQ
Select a suitable figure from the four alternatives that would complete the figure matrix.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution (pattern completion): Following the progression of elements in the matrix, the missing center-bottom cell is the simple dot.
Jamia Millia Islamia PYQ
Next term of the series: $CAT,\; EBS,\; GCR,\; IDQ,\; \ldots$ ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

First letters $C,E,G,I\to K$ ($+2$); second $A,B,C,D\to E$ ($+1$); third $T,S,R,Q\to P$ ($-1$). $\boxed{\text{KEP}}$
Jamia Millia Islamia PYQ
In the following question how does the figure look when folded into a cube along the marked lines?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution (pattern completion): Following the progression of elements in the matrix, the missing center-bottom cell is the simple dot.
Jamia Millia Islamia PYQ
Find the missing terms of this series:
b, a, a, b, ?, a, b, a, ?, b, b, a, ?, ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Look at odd and even positions separately. Odd positions (1,3,5,7,9,11,13): b, a, ?, b, ?, b, ? → pattern = "bab" repeating ⇒ 5=b, 9=a, 13=b. Even positions (2,4,6,8,10,12,14): a, b, a, a, b, a, ? → pattern = "aba" repeating ⇒ 14=a. Missing terms (in order 5th, 9th, 13th, 14th) = b, a, b, a → **baba**.
Jamia Millia Islamia PYQ
Complete the series: Z, L, X, J, V, H, T, F, __, __





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2023 PYQ

Solution

Solution: Two interleaved sequences: - 1st,3rd,5th,7th,…: Z(26), X(24), V(22), T(20) ⇒ decreasing by 2 ⇒ next = R(18). - 2nd,4th,6th,8th,…: L(12), J(10), H(8), F(6) ⇒ decreasing by 2 ⇒ next = D(4). So the next two letters are **R, D**.
Jamia Millia Islamia PYQ
If ‘234’ is coded to ‘11’, then ‘123’ is coded to …





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

$2 + 3 + 4 = 9$, but code = $11 = 9 + 2$ → add 2 to digit sum. For ‘123’: $1 + 2 + 3 = 6$, $6 + 2 = 8$.
Jamia Millia Islamia PYQ
If ‘123456’ is coded to ‘615’, then ‘214652’ is coded to …





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

Code logic → first and last combine: (1,6)→6; (2,1,4,6,5,2) pattern forms 7 and 13 → 713. $\boxed{713}$
Jamia Millia Islamia PYQ
$234 : 24 :: 235 : ?$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2017 PYQ

Solution

$2 \times 3 \times 4 = 24$ and $2 \times 3 \times 5 = 30$. $\boxed{30}$
Jamia Millia Islamia PYQ
A shepherd had 27 sheep. All but 10 died. How many he left with?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

All but 10 died means $10$ are alive.
Jamia Millia Islamia PYQ
A is three times as old as B. C was twice as old as A four years ago. In four years’ time, A will be 31. What are the present ages of B and C?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

In 4 years A will be $31 \Rightarrow$ now $A=31-4=27$. Given $A=3B \Rightarrow B=27/3=9$. Four years ago $A=23$, so $C=2\times 23=46 \Rightarrow$ now $C=46+4=50$.
Jamia Millia Islamia PYQ
In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How many of them read French and English both?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

At least one language $=15-3=12$. Let both $=x$. Then by inclusion–exclusion: $7+8-x=12 \Rightarrow x=3$.
Jamia Millia Islamia PYQ
Find the least number which leaves a remainder of 3 when divided by 5, 6, 7 and 8, but leaves no remainder when divided by 9.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Let $N\equiv 3\pmod{\operatorname{lcm}(5,6,7,8)}$. $\operatorname{lcm}(5,6,7,8)=840$. So $N=840k+3$. For divisibility by $9$: $840k+3\equiv 0\pmod{9} \Rightarrow 3k+3\equiv 0\pmod{9} \Rightarrow k\equiv 2\pmod{3}$. Smallest $k=2 \Rightarrow N=1680+3=1683$.
Jamia Millia Islamia PYQ
Find out the wrong number in the given sequence of numbers. $22,33,66,99,121,279,594$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Pattern should alternate $\times 1.5,\ \times 2$: $22\times 1.5=33,\ 33\times 2=66,\ 66\times 1.5=99,\ 99\times 2=\mathbf{198}$ (not $121$), $198\times 1.5=\mathbf{297}$ (not $279$), $297\times 2=594$. The first error is $121$ (which also causes the later mismatch).
Jamia Millia Islamia PYQ
Find out the wrong number in the given sequence of numbers. $6,13,18,25,30,37,40$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

$+7,\ +5$ repeating. $6+7=13,\ 13+5=18,\ 18+7=25,\ 25+5=30,\ 30+7=37,\ 37+5=\mathbf{42}$
Jamia Millia Islamia PYQ
Insert the missing number $8, 7, 11, 12, 14, 17, 17, 22, (\ldots)$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

$= -1, +4, +1, +2, +3, 0, +5$ Pattern alternates: $(-1), (+4), (+1), (+2), (+3), (0), (+5)$ Next difference should be $+2$ (continuing + pattern after 0). $\Rightarrow 22 + 2 = 24$
Jamia Millia Islamia PYQ
Insert the missing number $16, 33, 65, 131, 261, (\ldots)$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Each term $\approx$ double of previous $+1$. $16\times2+1=33$ $33\times2-1=65$ $65\times2+1=131$ $131\times2-1=261$ $261\times2+1=523$
Jamia Millia Islamia PYQ
If COMPLETED is coded as MOCELPDET, then DIRECTION will be coded as:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

In the word COMPLETED, the letters are written in reverse pair-wise: $CO \rightarrow MO$, $MP \rightarrow CE$, $LE \rightarrow LP$, $TE \rightarrow DE$, $ED \rightarrow T$ pattern reversed. Simpler observation: COMPLETED → MOCELPDET (reverse in pairs). Hence, DIRECTION → RIDTCENOI.
Jamia Millia Islamia PYQ
In a coded language, COMPUTER is written as RETUMPOC. How is MACHINE written in the same code?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Pattern: The word COMPUTER is reversed. COMPUTER → RETUMPOC. Hence, MACHINE → ENIHCAM.
Jamia Millia Islamia PYQ
If COOL is coded as DQRP, then write the code for HOT.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Each letter shifted by +1, +2, +3 respectively. C→D, O→Q, O→R, L→P. Similarly for HOT: H→I, O→Q, T→W.
Jamia Millia Islamia PYQ
Pointing to a girl in a photograph, Amar said, “Her mother’s brother is the only son of my mother’s father.” How is the girl’s mother related to Amar?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

Amar’s mother’s father = Amar’s maternal grandfather. His only son = Amar’s maternal uncle. That person is the girl’s mother’s brother → means Amar’s uncle is the girl’s mother’s brother, so the girl’s mother is Amar’s aunt.
Jamia Millia Islamia PYQ
A is the son of B. C, B’s sister, has a son D and a daughter E. F is the maternal uncle of D. How is E related to F?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

B’s sister is C. C’s son is D and daughter is E. F is maternal uncle of D → F is brother of C → hence F is maternal uncle of E also. Therefore, E is niece of F.
Jamia Millia Islamia PYQ
The question below has a set of statements. Each set is divided into three parts.
Choose the alternative where the conclusion can be logically deduced using both preceding statements.
Statements:
I. All papers are books.
II. All bags are books.
III. Some purses are bags.
Conclusions:
I. Some papers are bags.
II. Some books are papers.
III. Some books are purses.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2018 PYQ

Solution

From I and II → all papers and all bags are books → no relation between papers and bags (so I does not follow).
From I → some books are papers (true).
From III + II → all bags are books and some purses are bags → some purses are books (true).
Hence II and III follow.
Jamia Millia Islamia PYQ
If $(123)_b = 291$, then the value of the base $b$ is …





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

$(123)_b = 1b^2 + 2b + 3 = 291$. $\Rightarrow b^2 + 2b + 3 = 291 \Rightarrow b^2 + 2b - 288 = 0$. Solving: $b = 16$ or $b = -18$. Base must be positive → $b = 16$.
Jamia Millia Islamia PYQ
If ‘120456’ is to ‘315’, then ‘204562’ is to …





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Split into first three and last three digits. For 120456: $(1+2+0)=3$ and $(4+5+6)=15 \Rightarrow 315$. For 204562: $(2+0+4)=6$ and $(5+6+2)=13 \Rightarrow 613$.
Jamia Millia Islamia PYQ
$263 : 36 :: 139 : \ ?$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

$263 \Rightarrow 2\times6\times3=36$. $139 \Rightarrow 1\times3\times9=27$.
Jamia Millia Islamia PYQ
The train had left before I ______ (reach) the station.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution


Jamia Millia Islamia PYQ
$MNPQ : QTRU :: FIGP :\ ?$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Rule → add $+4$ to each letter. If the middle pair in the original is in **ascending** order, swap the middle two after shifting; if **descending**, keep order. $MNPQ$ (middle $NG$: descending): $+4 \Rightarrow \boxed{JMKT}$ (no swap).
Jamia Millia Islamia PYQ
I am facing South, I turn right and walk 20 m. Then I turn right again and walk 10 m. Then I turn left and walk 10 m and then turning right walk 20 m. Then I turn right again and walk ___ m. In which direction am I from the starting point?”





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution


Jamia Millia Islamia PYQ
Three of the following four are alike and form a group. Which one does not belong?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

All are multiples of $5$, but only $165$ is also divisible by $3$ ($1+6+5=12$). Others are not divisible by $3$.
Jamia Millia Islamia PYQ
Identify the wrong term: 31, 29, 31, 30, 28, 30, 29, 27, 26





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution

31→29 (−2), 29→31 (+2), 31→30 (−1), 30→28 (−2), 28→30 (+2), 30→29 (−1), 29→27 (−2), so next should be +2 → 29, not 26.
Jamia Millia Islamia PYQ
Three of the following four are alike and form a group. Choose the odd one out.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Sets (a), (c), (d) contain prime numbers only. Set (b) contains composite numbers.
Jamia Millia Islamia PYQ
If $D=23$, $H=19$, decode 8767.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution

Mapping is $A!\mapsto!26$, $B!\mapsto!25$, … (i.e., value $=27-\text{position}$).
$8!\to!27-8=19=S$, $7!\to!20=T$, $6!\to!21=U$, $7!\to!20=T$.

Jamia Millia Islamia PYQ
Which of the following is a wrong number in the series: $78,\,57,\,36,\,19,\,10,\,2,\ ?$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Pattern: subtract $21,\ 21,\ 17,\ 17,\ \ldots$ $78-21=57$, $57-21=36$, $36-17=19$, **$19-17=2$** (so 10 should not appear). Hence 10 is the wrong term.
Jamia Millia Islamia PYQ
If BEAT is written as GIDV, then SOUP may be written as





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution

Shifts by +5, +4, +3, +2:
B→G (+5), E→I (+4), A→D (+3), T→V (+2).
Apply to SOUP: S→X (+5), O→S (+4), U→X (+3), P→R (+2) ⇒ XSXR.
This exact result isn’t in the options; closest pattern-wise is option (A) 
Jamia Millia Islamia PYQ
What will be the next number in the series? $2,\ 6,\ \_,\ 42,\ 1806,\ \_$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Rule: multiply each term by “itself + 1” $2\to 2(2+1)=6$; $6\to 6(6+1)=42$; $42\to 42(42+1)=1806$. Next: $1806\to 1806(1806+1)=1806\times1807=3{,}263{,}442$.
Jamia Millia Islamia PYQ
If 213 = 419, 322 = 924, 415 = 16125; then 215 = ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution

Rule → square 1st & last digits, keep middle same.
213 → 2² 1 3² = 4 1 9; 322 → 3² 2 2² = 9 2 4; 415 → 4² 1 5² = 16 1 25.
So 215 → 2² 1 5² = 4 1 25 = **4125**.
Jamia Millia Islamia PYQ
A letter series is given with blanks: $C\_\ BBA\_\ CAB\_\ AC\_\ AB\_\ AC$ The missing letters (left to right) are given by which option?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Filling with **ACBCB** gives $C\color{blue}{A}BBA\color{blue}{C}CAB\color{blue}{B}AC\color{blue}{C}AB\color{blue}{B}AC$ Grouping in 3’s: $[CAB][BAC][CAB][BAC][CAB]$ — a neat repetition of the block “CAB, BAC”. Other choices break this pattern.
Jamia Millia Islamia PYQ
If A+B: “B is brother of A”, A×B: “B is husband of A”,
A−B: “A is mother of B”, A%B: “A is father of B”.
Which shows Q is grandmother of T?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution

 Q−P ⇒ Q mother of P; P+R ⇒ R brother of P ⇒ Q mother of R;
R%T ⇒ R father of T. Thus Q is mother of (father of T) ⇒ grandmother.
Jamia Millia Islamia PYQ
One term in the number series is wrong. Find the wrong term. $1,\ 2,\ 6,\ 15,\ 30,\ 56$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Intended pattern: add consecutive squares $1+1^2=2,\ 2+2^2=6,\ 6+3^2=15,\ 15+4^2=31,\ 31+5^2=56$. So the fourth term should be $31$; hence the **wrong** shown term is $56$ vs expected $55$ at the end, or equivalently the displayed list’s mismatch flags **56** as inconsistent.
Jamia Millia Islamia PYQ
ARUN : CTWP :: RITA : ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution

Each letter +2: A→C, R→T, U→W, N→P. RITA +2 → T K V C ⇒ TKVC
Jamia Millia Islamia PYQ
If ‘234’ is to ‘10’, then ‘345’ is to ____.





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Coding used: sum of digits + 1. $2+3+4=9 \Rightarrow 9+1=10$. $3+4+5=12 \Rightarrow 12+1=13$.
Jamia Millia Islamia PYQ
THIN : MCFM :: PRTV : ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution

Shifts −7, −5, −3, −1: T→M (−7), H→C (−5), I→F (−3), N→M (−1). Apply to PRTV: P→I, R→M, T→Q, V→U ⇒ **IMQU**.
Jamia Millia Islamia PYQ
Find odd one out





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Map letters to alphabet positions: C=3, I=9, S=19 (all odd), T=20 (even). Hence T is different.
Jamia Millia Islamia PYQ
If ‘HEALTH’ is written as ‘GSKZDG’, then how will ‘NORTH’ be written in that code?






Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2022 PYQ

Solution

Rule = reverse the word, then shift each letter **−1**. HEALTH → (reverse) HTLAEH → (−1) GSKZDG ✓ NORTH → (reverse) HTRON → (−1) GSQNM.
Jamia Millia Islamia PYQ
If HOTEL = 55, then BORE = ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Use sum of letter positions: B(2)+O(15)+R(18)+E(5)=40. (Note: For HOTEL, sum is 60; the stated 55 appears to be a misprint.)
Jamia Millia Islamia PYQ
A ten-rupee coin is placed on a plain paper. How many coins of the same size can be placed around it so that each one touches the central and adjacent coins?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

In 2D, at most 6 equal circles can touch another equal circle (kissing number).
Jamia Millia Islamia PYQ
In a certain code 13479 → AQFJL and 5268 → DMPN. How is 396824 written?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Digit→letter map from samples: 1→A, 3→Q, 4→F, 7→J, 9→L, 5→D, 2→M, 6→P, 8→N. Thus 396824 → 3 9 6 8 2 4 → Q L P N M F → QLPNMF.
Jamia Millia Islamia PYQ
The missing term in the sequence ADVENTURE, DVENTURE, DVENTUR, ____, VENTU is:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Alternating deletions: drop first, then last letter.
ADVENTURE → (drop A) DVENTURE → (drop E) DVENTUR → (drop D) VENTUR → (drop R) VENTU.
Jamia Millia Islamia PYQ
If $54+43=2,\ 60+51=10$, then $62+72=\ ?$





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Rule: $(ab)+(cd)\ \mapsto\ (a-b)+(c-d)$ (sum of digit-differences). $54+43 \Rightarrow (5-4)+(4-3)=1+1=2$. $60+51 \Rightarrow (6-0)+(5-1)=6+4=10$. $62+72 \Rightarrow (6-2)+(7-2)=4+5=9$.
Jamia Millia Islamia PYQ
Choose the ODD ONE OUT:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Rice is a water-intensive paddy crop; the others are typical dry/field cereals.

Jamia Millia Islamia PYQ
A and B are brothers. C and D are sisters. A’s son is D’s brother. How is B related to C?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

A’s son is D’s brother ⇒ A is the father of D (hence father of C too since C & D are sisters). B is A’s brother ⇒ B is C’s uncle.
Jamia Millia Islamia PYQ
If you are facing north-east and move 10 m forward, turn left and move 7.5 m, then you are:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

10 m NE ⇒ (7.07 E, 7.07 N). Then 7.5 m to the left of NE (i.e., NW) ⇒ (−5.30 E, +5.30 N).
Net ≈ (1.77 E, 12.37 N): mostly north.
Jamia Millia Islamia PYQ
Introducing Sanjay, Rinki said, “His brother’s father is the only son of my grandfather.” How is Rinki related to Sanjay?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

“The only son of my grandfather” = Rinki’s father. “His (Sanjay’s) brother’s father” = Sanjay’s father = Rinki’s father ⇒ Rinki and Sanjay share the same father. Hence Rinki is Sanjay’s sister.
Jamia Millia Islamia PYQ
 A clock is placed so that at 12 noon its minute hand points towards north-east. In which direction does its hour hand point at 1:30 p.m.?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

 At 1:30, hour hand is 45° clockwise from 12 o’clock. From NE, 45° clockwise = East.
Jamia Millia Islamia PYQ
A is the brother of B, B is the brother of C. D is the father of A. Which of the following statements cannot be definitely true?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

C’s gender is not given. So “C is the brother of A” cannot be asserted; C could be sister. The other statements can be true under usual family assumptions.
Jamia Millia Islamia PYQ
A frog tries to come out of a dried well 900 cm deep. Each time it jumps up 60 cm, it slides back 30 cm. How many jumps are needed to get out?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Before the last jump it must reach 900 − 60 = 840 cm. Net gain per prior jump = 30 cm.
840/30 = 28 jumps, then one final 60-cm jump
Jamia Millia Islamia PYQ
A, B, C, D and E when arranged in descending order of their weights from the top, A becomes third, E is between D and A while C and D are not at the top. Who is the second heaviest?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Descending order (top = heaviest). A is 3rd. “E is between D and A” and “D is not at the top”. So A (3rd) > E > D ⇒ E is 4th, D is 5th. Remaining top two are B and C, and “C is not at the top”, so C is 2nd and B is 1st.
Jamia Millia Islamia PYQ
In how many ways can a cricketer hit a century using only 4s and 6s?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Solve 4a + 6b = 100 ⇒ 2a + 3b = 50.
Require a ≡ 1 (mod 3), 0 ≤ a ≤ 25 ⇒ a = 1,4,7,10,13,16,19,22,25 (9 values).
Jamia Millia Islamia PYQ
Q, R, S, T, U and V are seated in a straight line facing North. S is second to the right of T and T is second to the right of Q. R is to the left of Q and second to the left of V. What is Q’s position with respect to S?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

Let positions be 1 (leftmost) to 6 (rightmost). $T$ is second right of $Q$ ⇒ $T=Q+2$. $S$ is second right of $T$ ⇒ $S=T+2=Q+4$. So $Q$ can be 1 or 2. Try $Q=2$ ⇒ $T=4$, $S=6$. $R$ is left of $Q$ and 2 left of $V$ ⇒ take $R=1$, then $V=3$ (fits). Arrangement: $1\!:\!R,\ 2\!:\!Q,\ 3\!:\!V,\ 4\!:\!T,\ 5\!:\!U,\ 6\!:\!S$. Thus $Q$ is **fourth to the left** of $S$.
Jamia Millia Islamia PYQ
If DRIVER = 12, PEDESTRIAN = 20, ACCIDENT = 16, then CAR = ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Value = 2 × (number of letters). DRIVER(6)=12, PEDESTRIAN(10)=20, ACCIDENT(8)=16 ⇒ CAR(3)=6.
Jamia Millia Islamia PYQ
X + Y’ means ‘Y is the brother of X’; ‘X × Y’ means ‘Y is the husband of X’; ‘X − Y’ means ‘X is the mother of Y’; ‘X / Y’ means ‘X is the father of Y’. Then which of the following expression indicates “P is the grandmother of T”?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MCA 2016 PYQ

Solution

$P \times Q / R - T$ : - $P \times Q$ ⇒ Q is husband of P ⇒ P is wife of Q. - $Q / R$ ⇒ Q is father of R ⇒ R is child of (Q,P) ⇒ P is mother of R. - $R - T$ ⇒ R is mother of T. Therefore P (mother of R) is **grandmother** of T.
Jamia Millia Islamia PYQ
How many times are the hands of a clock at right angles in a day?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

In 12 hours, hands are at right angles 22 times ⇒ in 24 hours = 44.
Jamia Millia Islamia PYQ
Find the missing terms in the series: 2, 15, 4, 12, 6, 7, ?, ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

 Odd positions increase by +2: 2,4,6,8,…; even positions decrease by −3,−5,−7,…: 15,12,7,0.
Missing terms = 8 and 0.

Jamia Millia Islamia PYQ
 A is B's sister, C is B's mother, D is C's father, E is D's mother. How is A related to D?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

solution: D is C’s father ⇒ D is A’s maternal grandfather ⇒ A is D’s granddaughter.
Jamia Millia Islamia PYQ
Find the wrong number in the series: 5, 18, 34, 54, 79, 110, 158





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

solution: Differences: 13, 16, 20, 25, 31, 48. The increments should grow by +3, +4, +5, +6, +7 ⇒ last diff should be 38, not 48. Expected last term = 110 + 38 = 148.
Jamia Millia Islamia PYQ
Find the wrong number in the series: 5, 6, 14, 45, 184, 920, 5556





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

multiply by n and add n: ×1+1, ×2+2, ×3+3, ×4+4, ×5+5, ×6+6 …
After 184, next should be 184×5+5 = 925, not 920. Then 925×6+6 = 5556 fits.
Jamia Millia Islamia PYQ
Win is related to Competition in the same way as invention is related to:





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Win happens in a competition; an invention happens in a laboratory.
Jamia Millia Islamia PYQ
 Pointing towards a girl in the picture, Sarita said: “She is the mother of Neha whose father is my son.” How is Sarita related to the girl?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

 Neha’s father = Sarita’s son ⇒ the girl is Sarita’s son’s wife.
Jamia Millia Islamia PYQ
If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Rate = 100 mice / (100 cats × 100 days) = 1/100 mouse per cat–day.
With 4 cats: daily kill = 4 × 1/100 = 1/25 mouse/day. For 4 mice: 4 ÷ (1/25) = 100 days.
Jamia Millia Islamia PYQ
Two pipes A and B can fill a tank in 12 min and 16 min respectively. Both are opened together; after how much time should B be closed so that the tank gets filled in 9 min?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Rates A=1/12, B=1/16. Let B run for t minutes, then only A for (9−t).
t(1/12+1/16) + (9−t)(1/12) = 1 ⇒ t(7/48) + (9−t)(1/12) = 1 ⇒ t=4.
Jamia Millia Islamia PYQ
If Mathematics : Logic :: Science : ?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Logic is the method of Mathematics; Experiment is the method of Science.
Jamia Millia Islamia PYQ
Five children take part in a tournament. Each one has to play every other one. How many games must they play?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

Number of matches in a round-robin with n=5 is C(5,2)=10.
Jamia Millia Islamia PYQ
 A man packs boxes into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left. What is the number of boxes?





Go to Discussion
Jamia Millia Islamia Previous Year PYQ Jamia Millia Islamia JAMIA MILLIA ISLAMIA MCA 2021 PYQ

Solution

N ≡ 1 (mod 3,4,5,6) ⇒ N ≡ 1 (mod 60). Also N ≡ 0 (mod 7).
So 60m+1 ≡ 0 (mod 7) ⇒ 4m+1 ≡ 0 ⇒ m ≡ 5 (mod 7) ⇒ smallest N = 60×5+1 = 301.

Jamia Millia Islamia

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Jamia Millia Islamia

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More
Ask Your Question or Put Your Review.

loading...