A five digits number is formed by writing the digits $1,2,3,4,5$ in a random order without repetitions. Then the probability that the number is divisible by $4$ is
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If $A, B, C, D$ are the points $(2,3,-1), (3,5,-3), (1,2,3), (3,5,7)$ respectively, then the angle between $AB$ and $CD…
Topic: AMU MCA 2019
If the point $(a, a)$ falls between the lines $|x + y| = 4$, then
Topic: AMU MCA 2019
The equation of the plane through the intersection of the planes $x + y + z = 1$ and $2x + 3y - z + 4 = 0$ and parallel…
Topic: AMU MCA 2019
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Two persons $A$ and $B$ take turns in throwing a pair of dice. The first person to throw $9$ from both dice will be awa…
Topic: AMU MCA 2019
The probability that in a year of the $22^{\text{nd}}$ century chosen at random, there will be $53$ Sundays, is
Topic: AMU MCA 2019
The standard deviation of a variable $x$ is $10$. Then the standard deviation of $50 + 5x$ is
Topic: AMU MCA 2019
A real value of $x$ will satisfy the equation $\left(\dfrac{3 - 4ix}{3 + 4ix}\right)=\alpha - i\beta; (\alpha,\beta \te…
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If $\omega$ is a complex cube root of unity, then the value of
$\dfrac{p + q\omega + r\omega^2}{r + p\omega + q\omega^2…
Topic: AMU MCA 2019
If $P, Q, R, S$ are represented by the complex numbers $4+i, 1+6i, -4+3i, -1-2i$ respectively, then $PQRS$ is a
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If $n$ is a positive integer, then $(1+i)^n + (1-i)^n$ is equal to
Topic: AMU MCA 2019
The number of ways in which $9$ persons can be divided into three equal groups is
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A dictionary is printed consisting of $7$ letters words only that can be made with letters of word $CRICKET$. If the wo…
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If the sum of the coefficient in the expansion of $(x + y)^n$ is $1024$, then the value of the greatest coefficient in …
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