NIMCET 2027 2015 Previous Year Questions (PYQs) – Page 5 of 9
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Showing 90 questions
Which letter in the word CYBERNETICS occupies the same position as it does in the English
alphabet?
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2
3
4
Solution
The remainder when
231
is divided by 5 is
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2
3
4
Solution
Remainder of 231 Divided by 5
To find the remainder of 231 divided by 5, we look at the cycle of powers of 2 mod 5: 2, 4, 3, 1 (repeats every 4 terms).
31 mod 4 = 3, so 231 corresponds to the 3rd term, which is 3.
Answer: 3
Let $\vec{a}$ and $\vec{b}$ be two vectors, which of the following vectors are not perpendicular to each other?
1
2
3
4
Solution
If $A=\begin{bmatrix} a &b &c \\ b & c & a\\ c& a &b \end{bmatrix}$ , where $a, b, c$ are real positive numbers such that $abc = 1$ and $A^{T}A=I$ then
the equation that not holds true among the following is
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2
3
4
Solution
The equation of the tangent at any point of the curve $x=acos2t$, $y=2\sqrt{2}a sint$ with $m$ as its
slope is
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2
3
4
Solution
The locus of the mid points of all chords of the parabola $y^{2}=4x$
which are drawn through its
vertex, is
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3
4
Solution
The value of $\lim_{x\to a} \frac{\sqrt{a+2x}-\sqrt{3x}}{\sqrt{3a+x}-2\sqrt{x}}$
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2
3
4
Solution
The value of $\int_{-\pi/3}^{\pi/3} \frac{x sinx}{cos^{2}x}dx$
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4
Solution
The foci of the ellipse $\frac{x^{2}}{16}+\frac{y^{2}}{b^{2}}=1$ and the hyperbola $\frac{x^{2}}{144}-\frac{y^{2}}{{81}}=\frac{1}{25}$ coincide, then the value of $b^{2}$ is
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4
Solution
If $a+b+c=\pi$ , then the value of $\begin{vmatrix} sin(A+B+C) &sinB &cosC \\ -sinB & 0 &tanA \\ cos(A+B)&-tanA &0 \end{vmatrix}$ is
1
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4
Solution
NIMCET 2027
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