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TANCET MCA Previous Year Questions (PYQs)

TANCET MCA 2024 PYQ

TANCET MCA PYQ 2024
Current age of Ritu and Rinki is in the ratio 3:4. 6 years back, the ratio of their ages was 2:3. What is the present age of Ritu?





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TANCET MCA Previous Year PYQ TANCET MCA TANCET MCA 2024 PYQ

Solution

Let their present ages be 3x and 4x.

Six years ago, their ages were (3x - 6) and (4x - 6).

So, according to the question:
(3x - 6) / (4x - 6) = 2 / 3

Cross multiplying,
3(3x - 6) = 2(4x - 6)

Simplifying,
9x - 18 = 8x - 12

x = 6

Therefore, Ritu’s present age = 3x = 18 years.

Answer: 18 years
TANCET MCA PYQ 2024
The sum of the ages of a son and father is 56 years; after four years the age of the father will be three times that of the son. What is the age of the father and the son, respectively?





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TANCET MCA Previous Year PYQ TANCET MCA TANCET MCA 2024 PYQ

Solution

Let the present ages be s (son) and f (father).

Given: s + f = 56 … (1)
After 4 years: (f + 4) = 3(s + 4) ⇒ f = 3s + 8 … (2)

Substitute (2) in (1):
s + (3s + 8) = 56 ⇒ 4s = 48 ⇒ s = 12.
Then f = 56 − 12 = 44.

Answer (father, son): 44 years, 12 years
TANCET MCA PYQ 2024
The speed of a motor boat in still water is 7km/hr. If the speed of the motor boat against the stream is 5 km/hr, what is the speed of the stream?





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TANCET MCA Previous Year PYQ TANCET MCA TANCET MCA 2024 PYQ

Solution

Upstream speed = (boat in still water − stream).
5 = 7 − v ⇒ v = 2 km/hr.
Answer: 2 km/hr
TANCET MCA PYQ 2024
Rahul can row downstream at 11 km/h and upstream at 7 km/h. Find the speed of Rahul in still water and speed of current.





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TANCET MCA Previous Year PYQ TANCET MCA TANCET MCA 2024 PYQ

Solution

Let speed of Rahul in still water = b km/h 
and 
speed of current = c km/h. 
Then, Downstream speed = b + c = 11
Upstream speed = b - c = 7 
Adding both: 2b = 18 
b = 9 
Subtracting: 2c = 4 
c = 2
✅ Rahul’s speed in still water = 9 km/h 
✅ Speed of current = 2 km/h
TANCET MCA PYQ 2024
Cynthia has borrowed Rs. 6,000 at the rate of 7% S.I. What amount does she need to pay after 3 years to clear the debt?





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TANCET MCA Previous Year PYQ TANCET MCA TANCET MCA 2024 PYQ

Solution

Principal (P) = 6000
Rate (R) = 7%
Time (T) = 3 years

Simple Interest (S.I.) = (P × R × T) / 100
= (6000 × 7 × 3) / 100 = 1260

Total Amount = P + S.I. = 6000 + 1260 = 7260

Answer: ₹7260

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