There are 40 female and 20 male students in a class. If the average heights of female and male students are 5.15 feet and 5.66 feet, respectively, then the average height (in feet) of all the students in the class equals
Previous 10 Questions — NIMCET 2025
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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
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
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
What is the general solution of the equation $\tan \theta + \cot \theta = 2$ ?
Topic: NIMCET 2025
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
Next 10 Questions — NIMCET 2025
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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
Four people (P,Q,R & S) are standing in a queue. Q is ahead of P. R is between P and S.
If S is at the end of the q…
Topic: NIMCET 2025
Statements:
I. The meteorological department predicts deficient rainfall during monsoon
season. II.
The GDP growth est…
Topic: NIMCET 2025
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips
back 20 feet before he again …
Topic: NIMCET 2025
In a remote research outpost, five scientists (Dr. Anand, Dr. Beena, Dr. Chirag, Dr. Dinesh,
and Dr. Elango) are studyi…
Topic: NIMCET 2025
