Recent questions tagged nielit2019feb-scientistd

The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are :$1, -8$$-1, -2$$\frac{2}{3}, \frac{1}{3}$$-2, -7$

A bag contains $12$ balls of the two different colours out of which $x$ are white. One ball is drawn at random. If $6$ more white balls are put in a bag, the probability ...

Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms.$-250$$-500$$-450$$-300$

The value of the following expression :$\left [ \frac{1}{2^{2}-1} \right ]+\left [ \frac{1}{4^{2}-1} \right ]+\left [ \frac{1}{6^{2}-1} \right ]+\dots\dots+\left [ \frac{...

What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ?$\frac{3c^{2}}{ab}$sq. units$\frac{4c^{2}}{ab}$sq. units$\frac{2c^{2}}{ab}$sq. units$\...

If $\left (-4, 0 \right), \left(1, -1 \right)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on :$y=x$$5x+y+12=0$$x+5y-4=0$$x-5y+4=...

If $x= \frac{\sqrt{p^{2}+q^{2}}+\sqrt{p^{2}-q^{2}}}{{\sqrt{p^{2}+q^{2}}-\sqrt{p^{2}-q^{2}}}}$ then $q^{2}x^{2}-2p^{2}x+q^{2}$ equals to :$3$$-1$$-2$$0$

If $ x^{a}=y^{b}=z^{c} $ and $ y^{2}=zx $ then the value of $ \frac{1}{a} + \frac{1}{c}$ is :$ \frac{b}{2}$$ \frac{c}{2}$$ \frac{2}{b}$$ \frac{2}{a}$

The sum of first $n$ terms of an $A.P$. whose first term is $\pi$ is zero. The sum of next $m$ terms is :$\frac{ \pi m \left(m+n \right)}{n-1}$$\frac{ \pi n \left(m+n \ri...

If $ \ Sinx+Sin^{2} x=1$ then $ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to :$0$$-1$$1$$2$

$ \sin^{-1}\left [ \frac{3}{5} \right ] + \tan^{-1}\left [ \frac{1}{7} \right ]=$$\frac{\pi }{4}$$\frac{\pi }{2}$$ \cos^ {-1} \frac{4}{5} $$\pi$

A train enters into a tunnel $AB$ at $A$ and exits at $B$. A jackal is sitting at $O$ in another by passing tunnel $AOB$, which is connected to $AB$ at $A$ and $B$, where...

A dog at point $A$ goes in pursuit of a fox $30$ $m$ away. The dog makes $2$ $m$ and the fox, $1$ m long leaps. If the dog makes two leaps to the fox’s three, at what dis...

A train travelling from Delhi to Ambala meets with an accident after $1$ hr. It is stopped for $\frac{1}{2}$ hr, after which it proceeds at fourth-fifth of its usual rate...

$\left [\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{4}{1+x^{4}}+\frac{8}{1+x^{8}} \right ]$ equal to :$1$$0$$\frac{8}{1-x^{8}}$$\frac{16}{1-x^{16}}$

The image of the point $\left (3, 8 \right)$ in the line $x+3y=7$ is :$\left (1, 4 \right)$$\left (4, 1 \right)$$\left (-1, -4 \right)$$\left (-4, -1 \right)$

If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes :$100$$1000$$500$$2000$

A man travels $35$ km partly at $4$ $kmph$ and partly at $5$ $kmph$. If he covers the former distance at $5$ $kmph$ and the later distance at $4$ $kmph$, he could cover $...

If $t^{2}-4t+1=0$, then the value of $\left[t^{3}+1/t^{3} \right]$ is :$44$$48$$52$$64$

Ashok's age is $\left (\frac{1}{6} \right)^{th}$ of his father's age. The father's age will be twice of Kamal's age after $10$ years. If Kamal's eighth birthday was celeb...

The difference between simple interest and compound interest on a sum for $2$ years at $8\%$, when the interest is compounded annually is ₹ $16$. If the interest were com...

The greatest number of four digits which is divisible by each one of the numbers $12$, $18$, $21$ & $28$, is :$9848$$9864$$9828$$9636$

A dinner party is to be fixed for a group consisting of $100$ persons. In this party, $50$ persons do not prefer fish, $60$ prefer chicken and $10$ do not prefer either c...

$21$ mango trees, $42$ apple trees and $56$ orange trees have to be planted in rows such that each row contains the same number of trees of one variety only. Minimum numb...

$A$ and $B$ entered into partnership with capitals in the ratio $4$ and $5$. After $3$ months, A withdrew $\frac{1}{4}$ of his capital and $B$ withdrew $\frac{1}{5}$ of h...

A boy $1.4$ $m$ tall casts a shadow $1.2$ $m$ long at the time when a building casts a shadow $5.4$ $m$ long. The height of the building is:$4.63 m$$3.21 m$$6.3 m$$5.6 m$

₹ $49$ were divided among $150$ children. Each girl got $50$ paise and a boy $25$ paise. How many boys were there ?$100$$102$$104$$105$

The rates of simple interest in two banks $A$ and $B$ are in the ratio $5: 4$. A person wants to deposit his total savings in two banks in such a way that he received equ...

Three different containers contain different qualities of mixtures of milk and water whose measurements are $403$ $kg$, $434$ $kg$ and $465$ $kg$. What biggest measure mu...

A man invests some money partly in $3\%$ stock at $96$ and partly in $4\%$ stock at $120$. To get equal dividends from both, he must invest the money in the ratio :$16 : ...