Two persons S and M have made the following statements among themselves. 

S says that I am certainly not over 40 years. 

M says that I am 38 years and you are at least 5 year old than me. 

S says you are at least 39 years. 

If all the above statements are wrong, what are the ages of M and S?

1

$\lim_{x\to0} \dfrac{x \tan x}{(1-\cos x)}$

Topic: NIMCET 2017

2

Differentiate [- log(log x),  x > 1] with respect to x

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3

The solution of the differential equation $\dfrac{dy}{dx}=e^{x+y}+x^2e^y$ is

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4

The derivative of (x3 + ex + 3x + cotx) with respect to x is

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5

If y = cos2 x2 , find dy/dx

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6

The critical point and nature for the function f(x, y) = x2 –2x + 2y2 + 4y – 2 is

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7

Evaluate $\displaystyle \int_{0}^{1}x(1-x)^ndx $

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8

The solution of (ex + 1) y dy = (y + 1) ex dx is

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9

The maximum value of 4 sin2 x + 3 cos2 x + sin(x/2) + cos(x/2) is

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10

Let f(x) be a polynomial of degree four, having extreme value at x = 1 and x = 2. If $\lim _{{x}\rightarrow0}[1+\frac{f…

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1

What is the largest number of positive integers to be picked up randomly so that the sum of difference of any two of th…

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2

Five children were administered psychological tests to know their intellectual levels. In the report psychologists poin…

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3

From a group of 7 men and 6 women, a committee of 5 persons with more males than females is to be formed. In how many w…

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4

A, B, C, D, E are a group of 7 friends from a club. There are two houses wives, one lecturer, one architect, one accoun…

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5

There are five books A, B, C, D, and E placed on a table. If A is placed below E, C is placed above D, B is placed belo…

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6

The following series is obtained by considering representations of decimal 99 in the different number system. The next …

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7

Who is C to A?

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8

Which of the following is true?

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9

Who among the following is one of the couples?

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10

The missing number in the following series 336, 210, 120, 60, ______, 6 is

Topic: NIMCET 2017