Register

Recent questions tagged quantitative-aptitude

1 votes
1 answer
241
NIELIT 2019 Feb Scientist D - Section D: 19
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 $x= \frac{\sqrt{p^{2}+q^{2}}+\sqrt{p^{2}-q^{2}}}{{\sqrt{p^{2}+q^{2}}-\sqrt{p^{2}-q^{2}}}}$ then $q^{2}x^{2}-2p^{2}x+q^{2}$ equals to :$3$$-1$$-2$$0$
1 votes
1 answer
242
NIELIT 2019 Feb Scientist D - Section D: 18
If $ x^{a}=y^{b}=z^{c} $ and $ y^{2}=zx $ then the value of $ \frac{1}{a} + \frac{1}{c}$ is : $ \frac{b}{2}$ $ \frac{c}{2}$ $ \frac{2}{b}$ $ \frac{2}{a}$
If $ x^{a}=y^{b}=z^{c} $ and $ y^{2}=zx $ then the value of $ \frac{1}{a} + \frac{1}{c}$ is :$ \frac{b}{2}$$ \frac{c}{2}$$ \frac{2}{b}$$ \frac{2}{a}$
0 votes
1 answer
244
NIELIT 2019 Feb Scientist D - Section D: 17
If $ \ Sinx+Sin^{2} x=1$ then $ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to : $0$ $-1$ $1$ $2$
If $ \ Sinx+Sin^{2} x=1$ then $ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to :$0$$-1$$1$$2$
0 votes
1 answer
245
NIELIT 2019 Feb Scientist D - Section D: 21
How many litres of a $3\%$ hydrogen peroxide solution should be mixed with $6$ liters of a $30\%$ hydrogen peroxide solution so as to get a mixture of $12\%$ solution ? $3$ litres $6$ liters $9$ litres $12$ litres
How many litres of a $3\%$ hydrogen peroxide solution should be mixed with $6$ liters of a $30\%$ hydrogen peroxide solution so as to get a mixture of $12\%$ solution ?$3...
1 votes
1 answer
246
NIELIT 2019 Feb Scientist D - Section D: 24
$ \sin^{-1}\left [ \frac{3}{5} \right ] + \tan^{-1}\left [ \frac{1}{7} \right ]=$ $\frac{\pi }{4}$ $\frac{\pi }{2}$ $ \cos^ {-1} \frac{4}{5} $ $\pi$
$ \sin^{-1}\left [ \frac{3}{5} \right ] + \tan^{-1}\left [ \frac{1}{7} \right ]=$$\frac{\pi }{4}$$\frac{\pi }{2}$$ \cos^ {-1} \frac{4}{5} $$\pi$
1 votes
0 answers
249
NIELIT 2019 Feb Scientist D - Section D: 25
In the following system of equations $2^{y-x} \left(x+y \right)=1$ & $\left(x+y \right)^{x-y}=2$ the value of $xy$ is : $\frac{1}{2}$ $\frac{3}{4}$ $\frac{1}{4}$ $1$
In the following system of equations $2^{y-x} \left(x+y \right)=1$ & $\left(x+y \right)^{x-y}=2$ the value of $xy$ is :$\frac{1}{2}$$\frac{3}{4}$$\frac{1}{4}$$1$
4 votes
1 answer
251
NIELIT 2019 Feb Scientist D - Section D: 30
Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$ $40$ $41$ $-41$ $0$
Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$$40$$41$$-41$$0$
0 votes
1 answer
252
NIELIT 2019 Feb Scientist D - Section D: 28
$\left [\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{4}{1+x^{4}}+\frac{8}{1+x^{8}} \right ]$ equal to : $1$ $0$ $\frac{8}{1-x^{8}}$ $\frac{16}{1-x^{16}}$
$\left [\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{4}{1+x^{4}}+\frac{8}{1+x^{8}} \right ]$ equal to :$1$$0$$\frac{8}{1-x^{8}}$$\frac{16}{1-x^{16}}$
0 votes
1 answer
253
NIELIT 2019 Feb Scientist D - Section D: 29
The image of the point $\left (3, 8 \right)$ in the line $x+3y=7$ is : $\left (1, 4 \right)$ $\left (4, 1 \right)$ $\left (-1, -4 \right)$ $\left (-4, -1 \right)$
The image of the point $\left (3, 8 \right)$ in the line $x+3y=7$ is :$\left (1, 4 \right)$$\left (4, 1 \right)$$\left (-1, -4 \right)$$\left (-4, -1 \right)$
0 votes
1 answer
254
NIELIT 2019 Feb Scientist D - Section D: 27
If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes : $100$ $1000$ $500$ $2000$
If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes :$100$$1000$$500$$2000$
3 votes
1 answer
256
NIELIT 2019 Feb Scientist D - Section C: 28
A two digit number is such that the product of the digits is $8$. When $18$ is added to the number, the digits are reversed. The number is : $18$ $24$ $81$ $42$
A two digit number is such that the product of the digits is $8$. When $18$ is added to the number, the digits are reversed. The number is :$18$$24$$81$$42$
0 votes
1 answer
257
NIELIT 2016 MAR Scientist C - Section A: 3
In the first $10$ overs of a cricket game, the run rate was only $3.2$. What should be the run rate in the remaining $40$ overs to reach the target of $282$ runs? $6.25$ $6.5$ $6.75$ $7$
In the first $10$ overs of a cricket game, the run rate was only $3.2$. What should be the run rate in the remaining $40$ overs to reach the target of $282$ runs?$6.25$$6...
0 votes
2 answers
259
NIELIT 2019 Feb Scientist C - Section D: 3
The line $x+y=4$ divides the line joining $\text{(-1,1) & (5,7)}$ in the ratio $\lambda : 1$ then the value of $\lambda$ is: $2$ $3$ $\dfrac{1}{2}$ $1$
The line $x+y=4$ divides the line joining $\text{(-1,1) & (5,7)}$ in the ratio $\lambda : 1$ then the value of $\lambda$ is:$2$$3$$\dfrac{1}{2}$$1$
0 votes
1 answer
260
NIELIT 2019 Feb Scientist C - Section D: 2
Determine $a+b$ such that the following system of equations: $2x-(a-4)y=2b+1 \text{ and }4x-(a-1)y=5b-1$ infinite solutions. $11$ $9$ $10$ $8$
Determine $a+b$ such that the following system of equations:$2x-(a-4)y=2b+1 \text{ and }4x-(a-1)y=5b-1$ infinite solutions.$11$$9$$10$$8$
0 votes
2 answers
261
NIELIT 2019 Feb Scientist C - Section D: 1
The minute hand is $10$ cm long. Find the area of the face of the clock described by the minute hand between $9$ a.m and $9:35$ a.m. ${183.3\ cm^{2}}$ ${366.6\ cm^{2}}$ ${244.4\ cm^{2}}$ ${188.39\ cm^{2}}$
The minute hand is $10$ cm long. Find the area of the face of the clock described by the minute hand between $9$ a.m and $9:35$ a.m.${183.3\ cm^{2}}$${366.6\ cm^{2}}$${24...
1 votes
1 answer
262
NIELIT 2019 Feb Scientist C - Section D: 7
If $\theta$ is an acute angle and $\tan\theta+\cot\theta =2$, Find the value of $\tan ^{7}\theta +\cot ^{7}\theta$. $-2$ $1$ $2$ $0$
If $\theta$ is an acute angle and $\tan\theta+\cot\theta =2$, Find the value of $\tan ^{7}\theta +\cot ^{7}\theta$.$-2$$1$$2$$0$
1 votes
1 answer
263
NIELIT 2019 Feb Scientist C - Section D: 6
In a triangle $XYZ$, $P$ and $Q$ are points on ${XY,XZ}$ respectively such that $XP=2PY$, $XQ=2QZ$, then the ratio, of area of $\triangle XPQ$ and area of $\triangle XYZ$ is: $4:9$ $2:3$ $3:2$ $9:4$
In a triangle $XYZ$, $P$ and $Q$ are points on ${XY,XZ}$ respectively such that $XP=2PY$, $XQ=2QZ$, then the ratio, of area of $\triangle XPQ$ and area of $\triangle XYZ$...
0 votes
1 answer
264
NIELIT 2019 Feb Scientist C - Section D: 5
The value of $\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+ \dots \dots \dots+\dfrac{1}{90}$ is: $\dfrac{1}{5}\\$ $\dfrac{2}{5} \\$ $\dfrac{3}{5} \\$ $1$
The value of $\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+ \dots \dots \dots+\dfrac{1}{90}$ is:$\dfrac{1}{5}\\$$\dfrac{2}{5} \\$$\dfrac{3}{5} \\$$1$
0 votes
1 answer
265
NIELIT 2019 Feb Scientist C - Section D: 4
Which of the following statement is false? ... Statement(iii) Statement(ii) Statement(iv) Statement(i)
Which of the following statement is false?$\begin{array}{ll} \text{Statement(i)} : & \dfrac{501}{25} \text{ is a terminating decimal.} \\ \text{Statement(ii)} : & \dfrac{...
0 votes
1 answer
266
NIELIT 2019 Feb Scientist C - Section D: 11
The expressions $\dfrac{\tan A}{1-\cot A}+\dfrac{\cot A}{1-\tan A}$ can be written as: $\sin A \ \cos A+1$ $\sec A \ cosec A+1$ $\tan A+ \cot A+1$ $\sec A +cosec A$
The expressions $\dfrac{\tan A}{1-\cot A}+\dfrac{\cot A}{1-\tan A}$ can be written as:$\sin A \ \cos A+1$$\sec A \ cosec A+1$$\tan A+ \cot A+1$$\sec A +cosec A$
0 votes
1 answer
267
NIELIT 2019 Feb Scientist C - Section D: 10
Let $(x_{1},4),(-2,y_{1})$ lies on the line joining the points $(2,-1),(5,-3)$ then the point $P(x_{1},y_{1})$ lies on the line: $6(x+y)-25=0$ $2x+6y+1=0$ $2x+3y-6=0$ $6(x+y)+25=0$
Let $(x_{1},4),(-2,y_{1})$ lies on the line joining the points $(2,-1),(5,-3)$ then the point $P(x_{1},y_{1})$ lies on the line:$6(x+y)-25=0$$2x+6y+1=0$$2x+3y-6=0$$6(x+y...
0 votes
1 answer
268
NIELIT 2019 Feb Scientist C - Section D: 9
sum of roots of the equation $\dfrac{3x^{3}-x^{2}+x-1}{3x^{3}-x^{2}-x+1}=\dfrac{4x^{3}-7x^{2}+x+1}{4x^{3}+7x^{2}-x-1}$ is : $0$ $1$ $-1$ $2$
sum of roots of the equation $\dfrac{3x^{3}-x^{2}+x-1}{3x^{3}-x^{2}-x+1}=\dfrac{4x^{3}-7x^{2}+x+1}{4x^{3}+7x^{2}-x-1}$ is :$0$$1$$-1$$2$
0 votes
1 answer
271
NIELIT 2019 Feb Scientist C - Section D: 12
A conical tent is to accommodate $10$ persons. Each person must have $6m^{2}$ space to sit and $30m^{3}$ of air to breath. What will be height of cone? $37.5$ m $150$ m $75$ m $15$ m
A conical tent is to accommodate $10$ persons. Each person must have $6m^{2}$ space to sit and $30m^{3}$ of air to breath. What will be height of cone?$37.5$ m$150$ m$75$...
1 votes
1 answer
273
NIELIT 2019 Feb Scientist C - Section D: 16
If $cosec\theta-\sin\theta=1$ and $\sec\theta-\cos\theta=m$, then $l^{2}m^{2}(l^{2}+m^{2}+3)$ equals to: $1$ $2$ $2 \sin\theta$ $\sin\theta \cos\theta$
If $cosec\theta-\sin\theta=1$ and $\sec\theta-\cos\theta=m$, then $l^{2}m^{2}(l^{2}+m^{2}+3)$ equals to:$1$$2$$2 \sin\theta$$\sin\theta \cos\theta$
0 votes
1 answer
275
NIELIT 2019 Feb Scientist C - Section D: 18
If $8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$ then $31u+46v$ is: $44$ $42$ $33$ $55$
If $8v-3u=5uv \: \: \& \: \: 6v-5u=-2uv$ then $31u+46v$ is:$44$$42$$33$$55$
1 votes
1 answer
276
NIELIT 2019 Feb Scientist C - Section D: 19
If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is: $0$ $1$ $2$ $3$
If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is:$0$$1$$2$$3$
0 votes
2 answers
277
NIELIT 2019 Feb Scientist C - Section D: 23
Rs.$6500$ were divided among a certain number of persons. If there had been $15$ more persons, each would have got $Rs.30$ less. Find the original number of persons. $50$ $60$ $45$ $55$
Rs.$6500$ were divided among a certain number of persons. If there had been $15$ more persons, each would have got $Rs.30$ less. Find the original number of persons.$50$$...
0 votes
1 answer
279
NIELIT 2019 Feb Scientist C - Section D: 21
Find the number of numbers between $300$ to $400$ (both included) that are not divisible by $2,3,4$ and $5$ $50$ $33$ $26$ $17$
Find the number of numbers between $300$ to $400$ (both included) that are not divisible by $2,3,4$ and $5$$50$$33$$26$$17$
Page: