There are 50 students admitted to a nursery class. Some students can speak only English and some can speak only Hindi. Ten students can speak both English and Hindi. If the number of students who can speak English is 21, then how many students can speak Hindi, only Hindi and only English.

1

In a city 40% of the adults are illiterate while 85% of the children are literate If the ratio of the adults to that of…

Topic: NIMCET 2018

2

A line passing through (4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the…

Topic: NIMCET 2018

3

Through any point (x, y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. T…

Topic: NIMCET 2018

4

In a triangle ABC, angle A=90° and D is the midpoint of AC. What is the value of  equal to?

Topic: NIMCET 2018

5

If $\sin\theta = 3\sin(\theta + 2\alpha)$, then value of $\tan(\theta + \alpha) + 2\tan\alpha$ is

Topic: NIMCET 2018

6

The value of $\cot\!\left(cosec^{-1}\dfrac{5}{3} + \tan^{-1}\dfrac{2}{3}\right)$ is

Topic: NIMCET 2018

7

A bird is flying in a straight line with velocity vector 10i+6j+k, measured in km/hr. If the starting point is (1,2,3),…

Topic: NIMCET 2018

8

Forces $4\hat{i} - 3\hat{j} + 7\hat{k}$ and $-2\hat{i} + 2\hat{j} - 8\hat{k}$ are acting on a particle and displaced it…

Topic: NIMCET 2018

9

The vector $\vec{a} = \alpha\hat{i} + 2\hat{j} + \beta\hat{k}$ lies in the plane of the vector $\vec{b} = \hat{i} + \ha…

Topic: NIMCET 2018

10

If $\vec{a}, \vec{b}$ and $\vec{c}$ are unit vectors, then $|\mathbf{a} - \mathbf{b}|^2 + |\mathbf{b} - \mathbf{c}|^2 +…

Topic: NIMCET 2018

1

The last digit of the number obtained by multiplying the numbers 81 x 82 x 83 x 84 x 85 x 86 x 87 x 88 x 89 is

Topic: NIMCET 2018

2

It has been reported in recent years that a very large number of seats in the engineering colleges in the country remai…

Topic: NIMCET 2018

3

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

Topic: NIMCET 2018

4

If $\log_3 2,\ \log_3(2^x - 5),\ \log_3\!\left(2^x - \dfrac{7}{2}\right)$ are in arithmetic progression, then the value…

Topic: NIMCET 2018

5

Let n be the number of different 5 digit numbers, divisible by 4 that can be formed with the digits 1,2, 3, 4, 5 and 6,…

Topic: NIMCET 2018

6

Let S be the set of integers x such that (i) 100 ≤ x ≤ 200(ii) x is odd and(iii) x is divisible by 3 but…

Topic: NIMCET 2018

7

Two pipes A and B can fill a cistern in 37.5 and 45 min, respectively. Both pipes are opened. The cistern will be fille…

Topic: NIMCET 2018

8

At what time, in minutes, between 3 o'clock and 4 o' clock, both the needles will coincide each other?

Topic: NIMCET 2018

9

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Topic: NIMCET 2018

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Question

Topic: NIMCET 2018