Previous 10 Questions — NIMCET 2025
Nearest first
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Let E and F be two events such that P(E) > 0 and P(F) > 0. Which one of the
following is NOT equivalent to the co…
Topic: NIMCET 2025
Suppose $t_1, t_2, ...t_5$ are in AP such that $\sum ^{18}_{l=0}{{t}}_{3l+1}=1197$ and ${{t}}_7+{{3}}t_{22}=174$. …
Topic: NIMCET 2025
An airplane, when 4000m high from the ground, passes vertically above another airplane at
an instant when the angles of…
Topic: NIMCET 2025
Let $g:\mathbb{R}\rightarrow \mathbb{R}$ and $h:\mathbb{R}\rightarrow \mathbb{R}$, be two functions such that $h(x) = s…
Topic: NIMCET 2025
Number of three digit numbers that can be formed using 0, 1, 2, 3 and 5 where these digits
are allowed to repeat any nu…
Topic: NIMCET 2025
Given the equation $x+y =1$, $x^2+y^2 =2$, $x^5 +y^5 =A$. Let N be the number
of solution pairs (x,y) to this system of…
Topic: NIMCET 2025
The area enclosed between the curve y = sin x, y = cosx, $0\leq x\leq\frac{\pi}{2}$ is
Topic: NIMCET 2025
Let $\vec{a}=2\hat{i}-3\hat{j}+4\hat{k}$, $\vec{b}=\hat{i}+2\hat{j}-\hat{k}$ and $\vec{c}=3\hat{i}+\hat{j}+\lambda \hat…
Topic: NIMCET 2025
The circle $x^2 + y^2+ \alpha x+ \beta y+ \gamma=0$ is the image of the circle $x^2 + y^2- 6x- 10y+ 30=0$ across
the li…
Topic: NIMCET 2025
The number of 3-digit integers that are multiple of 6 which can be formed by using the
digits 1,2,3,4,5,6 without repet…
Topic: NIMCET 2025
Next 10 Questions — NIMCET 2025
Ascending by ID
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If $\cos^2(10°)\cos(20°)\cos(40°)\cos(50°) \cos(70°) = \alpha+\frac{\sqrt{3}}{16} \cos(10°)$, then $3\alpha^{-1}$ is eq…
Topic: NIMCET 2025
The slope of the normal line to the curve $x = t^2 + 3t - 8$ and $y = 2t^2 - 2t - 5$ at the point
(2,-1) is
Topic: NIMCET 2025
A tower subtends an angle of 30° at a point on the same level as the foot of the tower. At a
second point h meters…
Topic: NIMCET 2025
There are 40 female and 20 male students in a class. If the average heights of female and
male students are 5.15 feet a…
Topic: NIMCET 2025
Let $x$ be a positive real number such that $x^{(8\log_5x-24)}=5^{-4}$. Then the product of all possible values of x is…
Topic: NIMCET 2025
The obtuse angle between lines 2y = x + 1 and y = 3x + 2 is
Topic: NIMCET 2025
What is the value of $\lim _{{x}\rightarrow\infty}-(x+1)\Bigg{(}{e}^{\frac{1}{x+1}}-1\Bigg{)}$?
Topic: NIMCET 2025
The value of $\int ^{\frac{\pi}{2}}_0\frac{(1+2\cos x)}{({2+\cos x)}^2}dx$ lies in the interval
Topic: NIMCET 2025
Read definition and all four choices carefully, and find the answer that provides the best
example of the given definit…
Topic: NIMCET 2025
In a certain code language, the word "REASON" is encoded as TDDQSK. Using the same
rule, how is the word PRAYER coded?
Topic: NIMCET 2025
