A professor has 24 text books on computer science and is concerned about their coverage of the topics (P) compilers, (Q) data structures and (R) Operating systems. The following data gives the number of books that contain material on these topics: $n(P) = 8, n(Q) = 13, n(R) = 13, n(P \cap R) = 3, n(P \cap R) = 3, n(Q \cap R) = 3, n(Q \cap R) = 6, n(P \cap Q \cap R) = 2 $ where $n(x)$ is the cardinality of the set $x$. Then the number of text books that have no material on compilers is
Previous 10 Questions — NIMCET 2015
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If $x, y, z$ are three consecutive positive integers, then $log (1 + xz)$ is
Topic: NIMCET 2015
A harbour lies in a direction 60° South of West from a fort and at a distance 30 km from it, a ship sets out from the h…
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The number of one-to-one functions from {1, 2, 3} to {1, 2, 3, 4, 5} is
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Suppose that A and B are two events with probabilities $P(A) =\frac{1}{2} \, P(B)=\frac{1}{3}$ Then which of the
follo…
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If the angles of a triangle are in the ratio 2 : 3 : 7, then the ratio of the sides opposite to these
angles is
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A is targeting B, B and C are targeting A. Probability of hitting the target by A, B and C are $\frac{2}{3}, \frac{1}{2…
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In a right angled triangle, the hypotenuse is four times the perpendicular drawn to it from the opposite vertex. The va…
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$\int_0^\pi [cotx]dx$ where [.] denotes the greatest integer function, is equal to
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If two circles
$x^{2}+y^{2}+2gx+2fy=0$ and $x^{2}+y^{2}+2g'x+2f'y=0$ touch each other then whichof the following is tru…
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The value of $sin^{-1}\frac{1}{\sqrt{2}}+sin^{-1}\frac{\sqrt{2}-\sqrt{1}}{\sqrt{6}}+sin^{-1}\frac{\sqrt{3}-\sqrt{2}}{\s…
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Next 10 Questions — NIMCET 2015
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The value of $tan(\frac{7\pi}{8})$ is
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If $\vec{a}$ and $\vec{b}$ are vectors such that $|\vec{a}|=13$, $|\vec{b}|=5$ and $\vec{a} . \vec{b} =60$then the valu…
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Two towers face each other separated by a distance of 25 meters. As seen from the top of the first tower, the angle of …
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If $\vec{a}=4\hat{j}$ and $\vec{b}=3\hat{j}+4\hat{k}$ , then the vector form of the component of $\vec{a}$ alond $\vec{…
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If $\vec{a}$ and $\vec{b}$ in space, given by $\vec{a}=\frac{\hat{i}-2\hat{j}}{\sqrt{5}}$ and $\vec{b}=\frac{2\hat{i}+\…
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Which letter would be 3rd to the right of the 7th letter from the left
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Which letter would be exactly in the middle of eighteenth letter from the beginning and fifteenth
from the end?
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How many 3-digit numbers divisible by 5, can be formed using the digits 2 3 5 6 7 and 9, without
repetition of digits?
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Using only 2, 5,10, 25 and 50 paise coins, what is the smallest number of coins required to pay
exactly 78 paise, 69 pa…
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Which of the following two patterns will fit in the blanks of the series
ZA5 ,Y4B, XC6, W3D, _________ , _________?
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