If three distinct numbers are chosen randomly from the first 100 natural numbers, then the probability that all three of them are divisible by both 2 and 3 is
Previous 10 Questions — NIMCET 2024
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If f(x)=cos[$\pi$^2]x+cos[-$\pi$^2]x, where [.] stands for greatest integer function, then $f(\pi/2)$=
Topic: NIMCET 2024
Let $f\colon\mathbb{R}\rightarrow\mathbb{R}$ be a function such that $f(0)=\frac{1}{\pi}$ and $f(x)=\frac{x}{e^{\p…
Topic: NIMCET 2024
Out of a group of 50 students taking examinations in Mathematics, Physics, and
Chemistry, 37 students passed Mathematic…
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If the line $a^2 x + ay +1=0$, for some real number $a$, is normal to the curve $xy=1$
then
Topic: NIMCET 2024
Lines $L_1, L_2, .., L_10 $are distinct among which the lines $L_2, L_4, L_6, L_8, L_{10}$ are
parallel to each other a…
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Region R is defined as region in first quadrant satisfying the condition $x^2 + y^2 < 4$. Given that a point P=(r,s)…
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The vector $\vec{A}=(2x+1)\hat{i}+(x^2-6y)\hat{j}+(xy^2+3z)\hat{k}$ is a
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How much work does it take to slide a crate for a distance of 25m along a loading
dock by pulling on it with a 180 N fo…
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The points (1,1/2) and (3,-1/2) are
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The equation $3x^2 + 10xy + 11y^2 + 14x + 12y + 5 = 0$ represents
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Next 10 Questions — NIMCET 2024
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It is given that the mean, median and mode of a data set is $1, 3^x$ and $9^x$ respectively. The possible values of the…
Topic: NIMCET 2024
The value of the series $\frac{2}{3!}+\frac{4}{5!}+\frac{6}{7!}+\cdots$ is
Topic: NIMCET 2024
Which pairs of bits can be joined
together to form two words that have opposite meanings?
ERT UCE DESE…
Topic: NIMCET 2024
Rajesh
will not go to the concert if Rakesh goes. Rakesh will go to the concert if his
dog barks three times. Base…
Topic: NIMCET 2024
Which one of the following is the odd one from the given alternative?
Topic: NIMCET 2024
Looking at the portrait of a man,
Lucky (male) said, “This person is the only child of my paternal grandmother’s
daught…
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Study the following diagram and answer
the following question. By which letter, the married teachers
who do …
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Study
the following information carefully and answer the given question: Eight friends A, B, C, D, E, F, G and
H a…
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From the given options, find the pair
which is like the given pair 8:4
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Select
the pair of words, which are related in the same way as the capitalized words
are related to each other.
DATA : …
Topic: NIMCET 2024
