List of practice Questions

One evening, two friends Riya and Priya were talking to each other, with their backs towards each other, sitting in a park. If Riya’s shadow was exactly to the left of her, then which direction was Priya facing?

Sword is related to Slaughter in the same way as Scalpel is related to

The numbers from 101 to 150 are written as, 101102103104105…146147148149150. What will be the remainder when this total number is divided by 3?

The rejection rate for Audi production was 4 per cent, for Mercedes it was 8 per cent and for the 2 cars combined it was 7 per cent. What was the ratio of Audi production?

There are 12 letters and exactly 12 envelopes. There is one letter to be inserted randomly into each envelope. What is the probability that exactly 1 letter is inserted in an improper envelope?

$Al_2(SO_4)_3$ is used in the following but not
Corundum is ................ mineral of aluminium.
If $ |x|<1, $ then the coefficient of $ {{x}^{6}} $ in the expansion of $ {{(1+x+{{x}^{2}})}^{-3}} $ is
The parametric form of the ellipse $4\left(x+1\right)^{2}+\left(y-1\right)^{2}=4$ is
Let $P$ be the statement Ravi races and let $Q$ be the statement Ravi wins. Then, the verbal translation of $ \tilde{\ }(p\vee (\tilde{\ }q)) $ is
The quantities RC and $ \left( \frac{L}{R} \right) $ ( where $R, L$ and $C$ stand for resistance, inductance and capacitance respectively ) have the dimensions of
If $\displaystyle\sum^{9}_{i-1}\left(x_{i}-5\right)=9$ and $\displaystyle\sum^{9}_{i-1}\left(x_{i}-5\right)^{2}=45$ , then the standard deviation of the $9$ items $x_{1}, x_{2} ,\cdots, x_{9}$ is
The value of $ \left( \frac{^{50}{{C}_{0}}}{1}+\frac{^{50}{{C}_{2}}}{3}+\frac{^{50}{{C}_{4}}}{5}+.... \right. $ $ \left. +\frac{^{50}{{C}_{50}}}{51} \right) $ is
The value of $\displaystyle \lim_{x \to 3} \frac{x^{5}-3^{5}}{x^{8}-3^{8}}$ is equal to
The vector equation of the straight line $ \frac{1-x}{3}=\frac{y+1}{-2}\,=\frac{3-z}{-1} $
$2 \, \tan^{-1}\left(\frac{1}{3}\right)+tan^{-1}\left(\frac{1}{4}\right)=$
If $\lambda\left(3\hat{i}+2\hat{j}-6\hat{k}\right)$ is a unit vector, then the values of $\lambda$ are
If $*$ is defined by $a*b$ = $a - b^2$ and $\oplus$ is defined by $\oplus$ = $a^2 + b$, where a and b are integers, then ($3 \oplus 4) * 5$ is equal to
If $ y={{\cot }^{-1}}\left( \tan \frac{x}{2} \right), $ then $ \frac{dy}{dx} $ is equal to
Let $a =\hat{ i }-2 \hat{ j }+3 \hat{ k }$. If $b$ is a vector such that $a \cdot b =| b |^{2}$ and $| a - b |=\sqrt{7}$, then $| b |$ is equal to
Let $ {{a}_{n}}={{i}^{{{(n+1)}^{2}}}}, $ where $ i=\sqrt{-1} $ and $ n=1,2,3..... $ . Then the value of $ {{a}_{1}}+{{a}_{3}}+{{a}_{5}}+...+{{a}_{25}} $ is
The area bounded by $y =x^{2} +3$ and $y =2x+3$ is
The length of the transverse axis of a hyperbola is $2 \,\cos \,\alpha$ . The foci of the hyperbola are the same as that of the ellipse $9x^{2}+16y^{2}=144$ . The equation of the hyperbola is
The number of functions that can be defined from the set $A \,= \{a, b, c, d\}$ into the set $B\, =\{1,2,3\}$ is equal to
The perpendicular distance from the point $(1, -1)$ to the line $x + 5y - 9 = 0$ is equal to