Previous 10 Questions — NIMCET 2018
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If the mean of the squares of first n natural numbers be 11, then n is equal to?
Topic: NIMCET 2018
If A is an invertible skew-symmetric matrix, then is a
Topic: NIMCET 2018
Suppose that m and n are fixed numbers such that the mth term of an HP is equal to n and the nth term is equal to m, (m…
Topic: NIMCET 2018
Sum to infinity of a geometric is twice the sum of the first two terms. Then what are the possible values of common rat…
Topic: NIMCET 2018
The quadratic equation whose roots are $\sin^218^o$ and $\cos^236^o$ is
Topic: NIMCET 2018
A and B play a game where each is asked to select a number from 1 to 25. If the two number match, both of them win a pr…
Topic: NIMCET 2018
Three numbers a,b and c are chosen at random (without replacement) from among the numbers 1, 2, 3, ..., 99. The probabi…
Topic: NIMCET 2018
Two person A and B agree to meet 20 april 2018 between 6pm to 7pm with understanding that they will wait no longer…
Topic: NIMCET 2018
The function $f(x) = \log\left(x + \sqrt{x^2 + 1}\right)$ is
Topic: NIMCET 2018
$6 + \log_{1/4} \dfrac{1}{\sqrt{2}} \left[ \sqrt{1 - \dfrac{1}{\sqrt{2}}} \sqrt{1 - \dfrac{1}{\sqrt{2}}} \sqrt{1 - \dfr…
Topic: NIMCET 2018
Next 10 Questions — NIMCET 2018
Ascending by ID
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$\int_0^{\pi} x\, f(\sin x)\, dx$ is equal to
Topic: NIMCET 2018
Let $f: R \rightarrow R$ be defined by $f(x) = \begin{cases} x + 2 & \text{if } x < 0 \\ |x - 2| & \text{if } x \geq 0 …
Topic: NIMCET 2018
The slope of two-lines $6x^2-xy-2y^2=0$ differ by
Topic: NIMCET 2018
If the radius of the circle changes at the rate of $-\dfrac{2}{\pi}$ m/s, at what rate does the circle's area change wh…
Topic: NIMCET 2018
The point of intersection os circle $x^2+y^2+10x-12y+51=0$ and the line $3y+x=3$ is
Topic: NIMCET 2018
The number of solutions of the equation sinx + sin5x = sin3x lying in the interval $[0, \pi]$ is
Topic: NIMCET 2018
In an acute-angled ΔABC the least value of secA+secB+secC is
Topic: NIMCET 2018
Let $P = \{\theta : \sin\theta - \cos\theta = \sqrt{2}\cos\theta \}$ and
$Q = \{\theta : \sin\theta + \cos\theta = \s…
Topic: NIMCET 2018
If $\dfrac{\tan x}{2} = \dfrac{\tan y}{3} = \dfrac{\tan z}{5}$ and $x + y + z = \pi$, then the value of $\tan^2 x + \ta…
Topic: NIMCET 2018
The circles whose equations are $x^2+y^2+c^2=2ax$ and $x^2+y^2+x^2-2by=0$ will touch one another externally, if
Topic: NIMCET 2018
