NIMCET 2013 Previous Year Question Paper and Solution with PDF

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NIMCET Previous Year Questions (PYQs)

NIMCET 2013 PYQ

Qus : 1NIMCET PYQ 2013

If $A=\begin{bmatrix} 1 &0 &0 \\ 0& 1 &1 \\ 0&-2 & 4 \end{bmatrix}$ and $6A^{–1} = A^{2} + cA + dI$, where $A^{–1}$ is A- inverse, I is the identify matrix, then (c, d) is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 2NIMCET PYQ 2013

Let $\vec{a}=\hat{j}-\hat{k}$ and $\vec{c}=\hat{i}-\hat{j}-\hat{k}$ . Then the vector $\vec{b}$ satisfying $(\vec{a} \times \vec{b})+ \vec{c} =0$ and $\vec{a} . \vec{b}=3$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 3NIMCET PYQ 2013

Find the number of elements in the union of 4 sets A, B, C and D having 150, 180, 210 and 240 elements respectively, given that each pair of sets has 15 elements in common. Each triple of sets has 3 elements in common and $A \cap B \cap C \cap D = \phi$

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Given: $|A|=150,\ |B|=180,\ |C|=210,\ |D|=240$; every pair has 15 common elements; every triple has 3 common elements; and $A\cap B\cap C\cap D=\varnothing$.

Use Inclusion–Exclusion for 4 sets:

\[ \begin{aligned} |A\cup B\cup C\cup D| &= \sum |A_i| \;-\; \sum |A_i\cap A_j| \;+\; \sum |A_i\cap A_j\cap A_k| \;-\; |A\cap B\cap C\cap D|\\ &= (150+180+210+240)\;-\; \binom{4}{2}\cdot 15 \;+\; \binom{4}{3}\cdot 3 \;-\; 0\\ &= 780 \;-\; 6\cdot 15 \;+\; 4\cdot 3\\ &= 780 - 90 + 12\\ &= \boxed{702}. \end{aligned} \]

Answer: 702

Qus : 4NIMCET PYQ 2013

If the straight line ax + by + c = 0 always passes through (1, –2), then a, b, c are in

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 5NIMCET PYQ 2013

A six faced die is a biased one. It is thrice more likely to show an odd number than to show an even number. It is thrown twice. The probability that the sum of the numbers in the two throws is even is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 6NIMCET PYQ 2013

If $I_n = \int_0^{\pi/4} tan^{n} \theta d\theta$ , then $I_8 + I_6$ equals

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 7NIMCET PYQ 2013

Let $\Delta ABC$ be a triangle whose area is $10\sqrt{3}$ units with side lengths $|AB|= 8$ units and $|AC|=5$ units. Find possible values of the angle A

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 8NIMCET PYQ 2013

Person A can hit a target 4 times in 5 attempts. Person B - 3 times in four attempts. Person C – 2 times in 3 attempts. They fire a volley. The probability that the target is hit at least two times. Is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 9NIMCET PYQ 2013

The value of the integral $\int _0^{\pi/2} \frac{\sqrt{sinx}}{\sqrt{sinx}+\sqrt{cosx}} dx$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 10NIMCET PYQ 2013

If $\omega$ is a cube root of unity, then find the value of determinant $\begin{vmatrix} 1+\omega &\omega^{2} &-\omega \\ 1+\omega^{2}&\omega &-\omega^{2} \\ \omega^{2}+\omega&\omega &-\omega^{2} \end{vmatrix}$

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 11NIMCET PYQ 2013

If the vector $2\hat{i}-3\hat{j}$ , $\hat{i}+\hat{j}-\hat{k}$ and $3\hat{i}-\hat{k}$ form three conterminous edges of a parallelepiped, then thevolume of parallelepiped is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 12NIMCET PYQ 2013

In a G.P. consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of the G.P. is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 13NIMCET PYQ 2013

If $f(x)=tan^{-1}\left [ \frac{sinx}{1+cosx} \right ]$ , then what is the first derivative of $f(x)$?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 14NIMCET PYQ 2013

The solution of $\sin x +1 = \cos x $ such that $0\leq x\leq 2\pi$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 15NIMCET PYQ 2013

Let $T_n$ denote the number of triangles which can be formed by using the vertices of a regular polygon of $n$ sides. If $T_{n+1} - T_{n} = 21$ then $n$ equals

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 16NIMCET PYQ 2013

If $\overline{X_1}$ and $\overline{X_2}$ are the means of two distributions such that $\overline{X_1} < \overline{X_2}$ and $\overline{X}$ is the mean of the combined distribution, then

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 17NIMCET PYQ 2013

The area enclosed within the curve $|X|+|Y| = 1$ (in square units) is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 18NIMCET PYQ 2013

Let $f(x)$ be a polynomial function of second degree and $f(1) = f(–1)$. If $a, b, c$ are in A.P. then $f'(a), f'(b), f'(c)$ are in.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 19NIMCET PYQ 2013

Find the point at which, the tangent to the curve $y=\sqrt{4x-3}-1$ as its slope $\frac{2}{3}$

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 20NIMCET PYQ 2013

Atal Speaks truth in 70% and George speaks the truth in 60% cases. In what percentage of cases they are likely to contradict each other in stating the same fact?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 21NIMCET PYQ 2013

A man observes the angle of elevation of the top of mountain to be 30^o. He walks 1000 feet nearer and finds the angle of elevation to be $45^{o}$. What is the distance of the first point of observation from the foot of the mountain?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 22NIMCET PYQ 2013

The sum of $n$ terms of an arithmetic series is 216. The value of the first term is $n$ and the value of the $n^{th}$ term is $2n$. The common difference, $d$ is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 23NIMCET PYQ 2013

Force $3\hat{i}+2\hat{j}+5\hat{k}$ and $2\hat{i}+\hat{j}-3\hat{k}$ are acting on a particle and displace it from the point $2\hat{i}-\hat{j}-3\hat{k}$ to $4\hat{i}-3\hat{j}+7\hat{k}$ the point then the work done by the force is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 24NIMCET PYQ 2013

The value of $9^{\frac{1}{3}}.9^{\frac{1}{9}}.9^{\frac{1}{27}}..... \infty $is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 25NIMCET PYQ 2013

The minimum value of the function $y=2x^{3}+36x-20$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 26NIMCET PYQ 2013

In how many different ways can the letters of the word “CORPORATION” be arranged so that all the vowels is always come together?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 27NIMCET PYQ 2013

If $log_x^y=100$ and $log_2^x=10$ then the value of y is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 28NIMCET PYQ 2013

The equations of the line parallel to the line $2x – 3y = 7$ and passing through the middle point of the line segment joining the points (1, 3) and (1, –7) is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 29NIMCET PYQ 2013

In a $\Delta ABC$ , $(c+a+b)(a+b-c)=ab$ The measure of the angle C is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 30NIMCET PYQ 2013

The number if non –negative integers less than 1000 that contain the digit 1 are.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 31NIMCET PYQ 2013

The lines 3x – 4y + 4 = 0 and 6x – 8y – 7 = 0 are tangent to the same circle. The radius of the this circle is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 32NIMCET PYQ 2013

The area of the parallelogram whose diagonals are $\vec{a}=3\hat{i}+\hat{j}-2\hat{k}$ and $\vec{b}=\hat{i}-3\hat{j}+4\hat{k}$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 33NIMCET PYQ 2013

If $sin x + a cos x = b$, then what is the expression for $|a sin x – cos x|$ in terms of $a$ and $b$?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 34NIMCET PYQ 2013

If A and B are two events such that $P(A \cup B)=\frac{5}{6}$ , $P(A \cap B)=\frac{1}{3}$ and $P(\overline{B})=\frac{1}{2}$, then the events A and B are

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 35NIMCET PYQ 2013

If there vectors $2\hat{i}-\hat{j}+\hat{k}$ , $\hat{i}+2\hat{j}-3\hat{k}$ and $3\hat{i}+\lambda \hat{j}+5\hat{k}$ are coplanar, then $\lambda$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 36NIMCET PYQ 2013

The equation of the base of an equilateral triangle is x + y = 2 and the vertex is (2, –1). The length of the side of the triangle is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 37NIMCET PYQ 2013

The total number of numbers that can be formed using the digits 3,5 and 7 only if no repetitions are allowed, is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 38NIMCET PYQ 2013

If x = a cos t, y = b sin t, then $\frac{d^{2}y}{dx^{2}}$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 39NIMCET PYQ 2013

A random variable X has the distribution law as given below:

X	1	2	3
P(X=x)	0.3	0.4	0.3

The variance of the distribution is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 40NIMCET PYQ 2013

The value of $\tan\theta+2\tan2\theta + 4\tan4\theta + 8\cot8\theta$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 41NIMCET PYQ 2013

The sum of integers between 200 and 400, that are multiples of 7 is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 42NIMCET PYQ 2013

$lim_{x\to0}\left [ \frac{tanx-x}{x^{2}tanx} \right ]$ is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 43NIMCET PYQ 2013

Two fair dice are tossed. What is the probability that the total score is a prime number?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 44NIMCET PYQ 2013

Find the equation of the circle which passes through (–1, 1) and (2, 1), and having centre on the line x + 2y + 3 = 0 .

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 45NIMCET PYQ 2013

Let $\vec{a}, \vec{b}, \vec{c}$ be the position vectors of three vertices A, B, C of a triangle respectively then the area of this triangle is given by

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 46NIMCET PYQ 2013

The sum of the focal distances of any point on the ellipse $\frac{x^{2}}{a^{2}} +\frac{y^{2}}{b^{2}} =1$ with eccentricity $e$ is given by

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 47NIMCET PYQ 2013

If $\sin x + \sin^{2}x = 1$, then $\cos^{2}x + \cos^{4}x$ is equal to.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 48NIMCET PYQ 2013

An experiment succeeds twice often as it fails. The probability that in the next six trials there will be at least four successes is.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 49NIMCET PYQ 2013

Sum of 20 terms of the series $–1^{2} + 2^{2} –3^{2} + 4^{2} – …$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 50NIMCET PYQ 2013

If $tan\alpha=\frac{m}{m+1}$ and $tan\beta=\frac{1}{2m+1}$ then $\alpha+\beta$ is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 51NIMCET PYQ 2013

A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long, at the same speed. What is the length of the train, in meters?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 52NIMCET PYQ 2013

In a row of children facing North, Shamika is third to the right of Nikhil, who is 17th from the right end of the row. Ravi is 5th to the left of Shamika and is 20th from the left end. Totally how many children are there in the row?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 53NIMCET PYQ 2013

Given that

i) Some apples are blackberries.

ii) Some doughnuts are apples.

iii) No coconut is a doughnut.

iv) All blackberries are coconuts.

Which of the following statements is false?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 54NIMCET PYQ 2013

In a family of 6 persons, there are two couples.
The lawyer is the head of the family and has two sons-Mukesh and Rakesh-both teachers.
Mrs. Reena and her mother-in-law both are lawyers.
Mukesh's wife is a doctor and they have a son, Ajay.

Which of the following is definitely a couple?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 55NIMCET PYQ 2013

In a family of 6 persons, there are two couples.
The lawyer is the head of the family and has two sons-Mukesh and Rakesh-both teachers.
Mrs. Reena and her mother-in-law both are lawyers.
Mukesh's wife is a doctor and they have a son, Ajay.

What is the profession of Rakesh's wife?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 56NIMCET PYQ 2013

In a family of 6 persons, there are two couples.
The lawyer is the head of the family and has two sons-Mukesh and Rakesh-both teachers.
Mrs. Reena and her mother-in-law both are lawyers.
Mukesh's wife is a doctor and they have a son, Ajay.

What is/was Ajay's grandfather's occupation?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 57NIMCET PYQ 2013

Find the missing element in the series

A, CD, GHI, – – – –, UVWXY

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 58NIMCET PYQ 2013

In a code language, FRIEND is coded as GTLISJ. Which of the following is coded as HWDVI in that language?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 59NIMCET PYQ 2013

There are four brothers Alan, Bob, Carl and Dave. Dave is two years older than Bob. Bob is one year younger than Carl. Alan, who is 34, is two years younger than Carl. Who is the oldest?

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Solution

Qus : 60NIMCET PYQ 2013

An employee has been assigned the task of allotting offices to six of the staff members. The offices are numbered 1 - 6. The offices are arranged in a row and they are separated from each other by six foot high dividers. Hence voices, sounds and cigarette smoke flow easily from one office to another.

Miss Robert needs to use the telephone quite often throughout the day. Mr. Mike and Mr. Brown need adjacent offices as they need to consult each other often while working. Miss. Hardy, is a senior employee and has to be allotted office number 5, having the biggest window. Mr. Donald requires silence in the offices next to his and Mr. Tim prefers to be as away as possible from Miss Robert. Mr. Mike and Mr. Donald are all smokers. Miss Hardy finds tobacco smoke allergic and consecutively the offices next to hers to be occupied by non-smokers. Unless specifically stated all the employees maintain an atmosphere of silence during office hours.

The ideal candidate to occupy the office farthest from Mr. Brown would be

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Solution

Qus : 61NIMCET PYQ 2013

1. The three employees who are smokers should be seated in the offices.

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Solution

Qus : 62NIMCET PYQ 2013

The ideal office for Mr. Mike would be

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Solution

Qus : 63NIMCET PYQ 2013

A doctor said to his compounder "I go to see the patients at their residence after every 3 hours 30 minutes. I have already gone to the patient 1 hour 20 minutes ago and next time I shall go at 1:40 P.M." At what time this information was given to the compounder by the doctor?

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Solution

Qus : 64NIMCET PYQ 2013

Which pair of numbers comes next in the following series? 42 40 38 35 33 31 28

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Series: 42, 40, 38, 35, 33, 31, 28, …

Pattern (differences): −2, −2, −3, −2, −2, −3, … (repeats)

After 28: 28 − 2 = 26, then 26 − 2 = 24.

Next pair: 26, 24

Qus : 65NIMCET PYQ 2013

i) All G's are H's

ii) All G's are J's or K's

iii) All J's and K's are G's

iv) All L's are K's

v) All N's are M's

vi) No M's are G's

If no P's are K's, which of the following must be true?

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Solution

Qus : 66NIMCET PYQ 2013

i) All G's are H's

ii) All G's are J's or K's

iii) All J's and K's are G's

iv) All L's are K's

v) All N's are M's

vi) No M's are G's

Which of the following is inconsistent with one or more of the conditions?

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Solution

Qus : 67NIMCET PYQ 2013

Shyam is taller than Pradeep and Pradeep is as tall as Anurag. But Anand is shorter than Suresh, who is as tall as Anurag. If Pradeep is taller than Praveen, who is the tallest of all?

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Solution

Qus : 68NIMCET PYQ 2013

When Rajeev was born his father was 32 years older than his brother and his mother was 25 years older than his.sister. If Rajeev's brother is 6 years older than Rajeev and his mother is 3 years younger than his father, how old was Rajeev's sister when he was born?

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Solution

Qus : 69NIMCET PYQ 2013

Dhoni starts from his office at 8 A.M. on a Sunday morning, travels 10 km towards West and then turns to his left and walks 8 km. Then he again turns to his left and walks 4 km and then stops. What is the shortest distance to his office from the point where he stopped?

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Solution

Qus : 70NIMCET PYQ 2013

A treasure chest has less than 100 gold coins. The number of coins is

i) One more than a multiple of 3

ii) Two more than a multiple of 4

iii) Three more than a multiple of 5 and

iv) Four more than a multiple of 6

How many coins are there in the chest?

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Solution

Qus : 71NIMCET PYQ 2013

Read the statements and then decide which of the conclusions logically follow.

Statements:

i) All mangoes are golden in colour.

ii) No golden coloured things are cheap.

Conclusions:

i) All mangoes are cheap.

ii) Golden coloured mangoes are not cheap.

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Solution

Qus : 72NIMCET PYQ 2013

A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
A weighs twice as much as B
B weighs four and half times as much as C
C weighs half as much as D
D weighs half as much as E
E weighs less than A but more than C

Which of the following article is heaviest in weight?

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Solution

Qus : 73NIMCET PYQ 2013

A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
A weighs twice as much as B
B weighs four and half times as much as C
C weighs half as much as D
D weighs half as much as E
E weighs less than A but more than C

Which of the following represents the descending order of weights of the articles?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 74NIMCET PYQ 2013

There are three switches A, B and C which can be in ON/OFF position. Their settings change as per the following rules:

If A is the only switch as ON, change B to ON.
If A and B are only switches as ON, change C to ON.
If all three switches are ON, change C to OFF.
For all other situations, all switches in ON are changed to OFF and all switches in OFF are changed to ON

If switches A and B are ON and C is OFF, their changed settings will be:

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 75NIMCET PYQ 2013

There are three switches A, B and C which can be in ON/OFF position. Their settings change as per the following rules:

If A is the only switch as ON, change B to ON.
If A and B are only switches as ON, change C to ON.
If all three switches are ON, change C to OFF.
For all other situations, all switches in ON are changed to OFF and all switches in OFF are changed to ON

If only B is ON, the changed setting will be:

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 76NIMCET PYQ 2013

There are three switches A, B and C which can be in ON/OFF position. Their settings change as per the following rules:

If A is the only switch as ON, change B to ON.
If A and B are only switches as ON, change C to ON.
If all three switches are ON, change C to OFF.
For all other situations, all switches in ON are changed to OFF and all switches in OFF are changed to ON

If only B is ON in the changed setting, which of the following could have been the original setting?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 77NIMCET PYQ 2013

If the third day of a month falls on Friday, what day will be on the fourth day after twenty first of the month?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 78NIMCET PYQ 2013

Ana is a girl and has the same number of brothers as sisters. Andrew is a boy and has twice as many sisters as brothers. Ana and Andrew are the children of Emma. How many children does Emma have?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 79NIMCET PYQ 2013

Anu is taller than Cini
Eenu is shorter than Binu
Anu is shorter than Dany
Eenu is taller than Anu

The best answer to "Who is the tallest?” is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 80NIMCET PYQ 2013

Anu is taller than Cini
Eenu is shorter than Binu
Anu is shorter than Dany
Eenu is taller than Anu

Who is the shortest?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 81NIMCET PYQ 2013

Anu is taller than Cini
Eenu is shorter than Binu
Anu is shorter than Dany
Eenu is taller than Anu

Which of the following statements would help to logically order the persons according to their heights?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 82NIMCET PYQ 2013

Karan and Arjun run a 100 metres race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 83NIMCET PYQ 2013

In a cricket season, India defeated Australia twice. West Indies defeated India twice. Australia defeated West Indies twice. India defeated New Zealand twice and West Indies defeated New Zealand twice. Which country has lost most number of times?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 84NIMCET PYQ 2013

Pointing to a woman, Nirmal said "She is the daughter of my wife's grandfather's only child". How is the woman related to Nirmal?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 85NIMCET PYQ 2013

There are five persons A, B, C, D, E standing on six steps numbered 1 , 2, 3 , 4, 5 and 6 from the bottom. At most one person is standing on each step. The step number, on which A is standing, is two less than that of C. Step number on which B is standing is one more than that of D

If A is standing on Step 1, which of the following is true?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 86NIMCET PYQ 2013

If D is standing on step 1, on which step A could be standing?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 87NIMCET PYQ 2013

If there are two steps in between the steps on which A and D are standing, A must be standing on which of the following steps?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 88NIMCET PYQ 2013

From the information given below: A * B means A and B are of the same age, A – B means B is younger than A. A + B means A is younger than B. What does Sachin * Mohan – Ravi mean?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 89NIMCET PYQ 2013

Jimmy saw the time while going to the tennis court. He saw the hour hand is 20° away from 4. After he returned from tennis court, he noticed that the hour hand is 20° away from 4. If he took ten minutes to go to tennis court and he walked at the same speed while going to the tennis court and while returning, how much time did he spent at the tennis court?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 90NIMCET PYQ 2013

There are 8 balls looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier ball is:

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 91NIMCET PYQ 2013

Out of the alternatives, choose the appropriate phrase to make the sentence meaningful. If you had joint accounts with who died, then you will be responsible for the bills.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 92NIMCET PYQ 2013

Choose the analogy that is closest in meaning to the pair - Diamond: Necklace

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 93NIMCET PYQ 2013

Choose the suitable proposition for the blank to make a meaningful sentence.

Suresh is angry _____ his servant.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 94NIMCET PYQ 2013

Choose the correct alternative for the sentence below:

The earth is always revolving round the sun

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 95NIMCET PYQ 2013

Choose the word that best expresses the meaning of the given idiom: "A close shave"

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 96NIMCET PYQ 2013

Pick the part of the sentence that has an error: My elder brother is a MA whereas I am only a BA

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 97NIMCET PYQ 2013

Choose the suitable phrasal verb for the blank in the sentence below .

I _______ my hopes when untimely rain threatened my crops.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 98NIMCET PYQ 2013

Out of the given alternatives, choose the word that is opposite in meaning to the word AFFLUENT

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 99NIMCET PYQ 2013

Fill in the blank with appropriate form of noun:

Don't blame yourself, it's not your _______

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 100NIMCET PYQ 2013

Fill in the blank:

The instructor, along with the class, ________ angry about the room change

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Qus : 101NIMCET PYQ 2013

Choose the suitable word for the blank to make it a meaningful statement.

What you say is ________ my comprehension

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: beyond

Explanation: The phrase beyond my comprehension means “too difficult for me to understand.” Hence, the correct word is beyond.

Qus : 102NIMCET PYQ 2013

Fill in the blank with a suitable preposition:

If you want to avoid traffic, you need to leave ________ 7.30 A.M.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: by

Explanation: The preposition by is used to indicate “not later than” a specific time. Hence, “leave by 7.30 A.M.” means you should leave at or before 7.30 to avoid traffic.

Qus : 103NIMCET PYQ 2013

Choose the word that best expresses the meaning of the given idiom: "to smell a rat"

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: To suspect something bad

Explanation: The idiom “to smell a rat” means to become suspicious that something is wrong or that someone is being dishonest.

Qus : 104NIMCET PYQ 2013

Out of the given alternatives, choose the word that best expresses the meaning of the word ABRIDGE.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: Shorten

Explanation: The word abridge means to make something shorter in duration, length, or extent — for example, to abridge a speech or a book.

Qus : 105NIMCET PYQ 2013

'A dog's breakfast means

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: Something that has been done very badly

Explanation: The idiom “a dog’s breakfast” means a complete mess or something done very poorly — not an actual meal for a dog.

Qus : 106NIMCET PYQ 2013

Change the speech: She says, “I like going to the seaside”.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: She says she likes going to the seaside

Explanation: Since the reporting verb says is in the present tense, the verb inside the reported speech remains in the same tense. Therefore, “I like” becomes “she likes”.

Qus : 107NIMCET PYQ 2013

Arrange the following to form a correct sentence

P: will normally be granted

Q: candidates should note

R: that no request for

S: change of centre

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: Q R S P

Correct Sentence: Candidates should note that no request for change of centre will normally be granted.

Qus : 108NIMCET PYQ 2013

Rewrite the sentence after correcting the error: She was one of the -average student of the class.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: She was one of the average students of the class

Explanation: The phrase “one of the” must be followed by a **plural noun**, because it refers to one person from a group. Therefore, students (plural) is correct, not student (singular).

Qus : 109NIMCET PYQ 2013

Choose appropriate words to form a grammatically correct sentence:

The decoration of the new house, including-the furniture and curtains ________

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: is most pleasing

Explanation: The singular subject decoration takes the singular verb is. As there is no comparison being made, the correct form is the superlative is most pleasing, meaning “very pleasing.”

Qus : 110NIMCET PYQ 2013

Fill in the blank:

The President of the United States, accompanied by his advisors, ________ enroute to Europe.

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Explanation: The subject President is singular, and the phrase “accompanied by his advisors” is parenthetical. Therefore, the correct verb is was to agree with the singular subject in past tense.

Qus : 111NIMCET PYQ 2013

All digital circuits can be realized by using only

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

A Multiplexer (MUX) is a universal combinational circuit that can implement any digital logic function, hence all digital circuits can be realized using only multiplexers.

Qus : 112NIMCET PYQ 2013

The Boolean function $a+(\overline{a} \,b)$ is equivalent to

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

$a+(\overline{a} \,b)$

=$ (a+\bar{a})(a+b)$

=$1.(a+b)=(a+b)$

Qus : 113NIMCET PYQ 2013

Which of the following circuit is used as a memory device in computers?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

A Flip-Flop circuit is a bistable device capable of storing one bit of data, making it the basic building block of memory and storage elements in computers.

Qus : 114NIMCET PYQ 2013

Convert the Hexadecimal number 4DF to its octal equivalent

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

(4DF)₁₆ = 4×16² + 13×16 + 15 = 1247₁₀.
Converting 1247₁₀ to octal gives (2337)₈.

Qus : 115NIMCET PYQ 2013

A tautology is a Boolean formula that is always true. Which of the following is a tautology?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

$x+\overline{y}+\overline{x}$

=$\bar{y}+x+\bar{x}$

=$\bar{y}+1$

=$1$

Qus : 116NIMCET PYQ 2013

Acronym of EEPROM is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

EEPROM stands for Electrically Erasable Programmable Read Only Memory, a type of non-volatile memory that can be erased and reprogrammed using electrical signals.

Qus : 117NIMCET PYQ 2013

For reproducing sound, a CD audio player uses a

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

A CD audio player uses a laser beam to read digital data encoded on the disc surface, which is then converted into sound.

Qus : 118NIMCET PYQ 2013

When we open an internet site, we see www. What does www stand for?

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

WWW stands for World Wide Web, a system of interlinked hypertext documents accessed through the internet.

Qus : 119NIMCET PYQ 2013

The answer of the operation $(10111)₂ \times (1110)₂ in hex equivalent is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

(10111)₂ = 23₁₀,

(1110)₂ = 14₁₀,

23 × 14 = 322₁₀ = (142)₁₆.

Qus : 120NIMCET PYQ 2013

The minimum number of bits to represent a character from ASCII code set is

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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

Answer: 7 bits

Explanation: ASCII has 128 characters (0–127). To represent 128 unique codes, we need 2⁷ = 128 combinations. Hence, 7 bits are sufficient.

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