Recent questions tagged quantitative-aptitude

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Aptitude , Chapter :Ratio Proportion

LavTheRawkstar asked in Quantitative Aptitude May 15, 2020

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NIELIT 2016 MAR Scientist D: 61
A man rowed $3$ miles upstream in $90$ minutes. If the river flowed with a current of $2$ miles per hour, how long did the man’s return trip take? $20$ minutes $30$ minutes $45$ minutes $60$ minutes

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2016 MAR Scientist D: 63
A circular garden twenty feet in diameter is surrounded by a path three feet wide. What is the area of the path? $51 \pi$ square feet $60 \pi$ square feet $69 \pi$ square feet $90 \pi$ square feet

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2016 MAR Scientist D: 62
A man walks $10$ miles at an average rate of $2$ miles per hour and returns on a bicycle at an average rate of $10$ miles per hour. How long (to the nearest hour) does the entire trip take him? $4$ hours $5$ hours $6$ hours $7$ hours

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2016 MAR Scientist D: 64
What is the area of a semicircle with a diameter of $16$ inches? $32 \pi$ square inches $64 \pi$ square inches $128 \pi$ square inches $256 \pi$ square inches

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2016 MAR Scientist D: 65
Which of the following figures has the largest perimeter $(1 \text{ foot} = 12 \text{ inches})$ a square with a diagonal of $5$ feet a rectangle with sides of $3$ feet and $4$ feet an equilateral triangle with a side equal to $48$ inches a regular hexagon whose longest diagonal is $6$ feet

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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7

NIELIT 2016 MAR Scientist D: 66
Two bicyclists travel in opposite directions. One travels $5$ miles per hour faster than the other. In $2$ hours they are $50$ miles apart. What is the rate of the faster bicyclist? $11.25$ mph $15$ mph $20$ mph $22.5$ mph

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2016 MAR Scientist D: 72
Rani will be twice Raja’s age in $3$ years when Raja will be $40$. How many years old is Rani now? $20$ $80$ $77$ $37$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2016 MAR Scientist D: 71
A certain number when added to $50\%$ of itself is $27$. What is the number? $7$ $9$ $11$ $18$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2016 MAR Scientist D: 70
Twelve less than $4$ times a number is $20$. What is the number? $2$ $4$ $6$ $8$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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11

NIELIT 2016 MAR Scientist D: 69
The sum of a number and its double is $69$. What is the number? $46.6$ $34.5$ $23$ $20$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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12

NIELIT 2016 MAR Scientist D: 68
Of $150$ people polled, $105$ said they rode the city bus at least $3$ times per week. How many people out of $100,000$ could be expected to ride the city bus at least $3$ times each week? $55,000$ $70,000$ $72,500$ $75,000$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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13

NIELIT 2016 MAR Scientist D: 67
Sonal has finished reading $30\%$ of a $340$-page novel. How many pages has she read? $102$ $103$ $105$ $113$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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14

NIELIT 2016 MAR Scientist D: 73
The perimeter of a parallelogram is $50$ cm. The length of the parallelogram is $5$ cm more than the width. Find the length of the parallelogram. $15$ cm $11$ cm $5$ cm $10$ cm

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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15

NIELIT 2019 Feb Scientist D - Section D: 4
If $P$\left (x, y \right)$ is any point on the line joining the points $A$\left (a, 0 \right)$ and $B$\left(0, b \right)$ then the value of $bx+ay-ab$ is : $1$ $-1$ $0$ $2$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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16

NIELIT 2019 Feb Scientist D - Section D: 3
A school has $378$ girls and $675$ boys. All the students divided into strictly boys and strictly girls students sections. All the sections in the school has same number of students. What is the number of sections in the school? $27$ $36$ $39$ $23$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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17

NIELIT 2019 Feb Scientist D - Section D: 2
A conical tent is to accommodate $10$ persons. Each person must have $6$ $m$^{2}$ space to sit and $30$ $m$^{2}$ of air to breath. What will be height of cone ? $37.5$ $m$ $150$ $m$ $75$ $m$ $15$ $m$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2019 Feb Scientist D - Section D: 1
In a swimming-pool $90$ m by $40$ m, $150$ men take a dip. If the average displacement of water by a man is $8$ cubic metres, what will be rise in water level ? $30$ cm $33.33$ cm $20.33$ cm $25$ cm

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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19

NIELIT 2019 Feb Scientist D - Section D: 5
How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$ $2$ $3$ $4$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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20

NIELIT 2019 Feb Scientist D - Section D: 6
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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21

NIELIT 2019 Feb Scientist D - Section D: 8
If $A$ be the area of a right angled triangle and $b$ be one of the sides containing the right angle, then the length of altitude on the hypotenuse is : $\frac{2Ab}{\sqrt{4b^{4}+A^{2}}}$ $\frac{Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{2Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{Ab}{\sqrt{4b^{4}+A^{2}}}$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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22

NIELIT 2019 Feb Scientist D - Section D: 9
Find the mode of the following data : ... $20.22$ $19.47$ $21.12$ $20.14$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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23

NIELIT 2019 Feb Scientist D - Section D: 7
Find all the polynomials with real coefficients $P\left(x \right)$ such that $P\left(x^{2}+x+1 \right)$ divides $P\left(x^{3}-1 \right)$. $ax^{n}$ $ax^{n+2}$ $ax$ $2ax$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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24

NIELIT 2019 Feb Scientist D - Section D: 10
In an acute angled triangle $ABC$, if $\tan \left(A+B-C \right)=1$ and $\sec \left(B+C-A \right)=2$, Find angle $A$. $60^\circ$ $45^\circ$ $30^\circ$ $90^\circ$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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25

NIELIT 2019 Feb Scientist D - Section D: 15
The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are : $1, -8$ $-1, -2$ $\frac{2}{3}, \frac{1}{3}$ $-2, -7$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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26

NIELIT 2019 Feb Scientist D - Section D: 14
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 of drawing a white ball now will be doubled to that of previous probability of drawing a white ball. The value of $x$ is : $4$ $5$ $6$ $3$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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27

NIELIT 2019 Feb Scientist D - Section D: 13
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms. $-250$ $-500$ $-450$ $-300$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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28

NIELIT 2019 Feb Scientist D - Section D: 12
The value of the following expression : $\left [ \frac{1}{2^{2}-1} \right ]+\left [ \frac{1}{4^{2}-1} \right ]+\left [ \frac{1}{6^{2}-1} \right ]+\dots\dots+\left [ \frac{1}{20^{2}-1} \right ]$ is : $\frac{10}{21}$ $\frac{13}{27}$ $\frac{15}{22}$ $\frac{22}{15}$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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29

NIELIT 2019 Feb Scientist D - Section D: 11
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 $\frac{c^{2}}{ab}$sq. units

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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30

NIELIT 2019 Feb Scientist D - Section D: 20
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 : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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31

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 : $3$ $-1$ $-2$ $0$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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32

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}$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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NIELIT 2019 Feb Scientist D - Section D: 16
The sum of first $n$ terms of an $A.P$. whose first term is $\pi$ is zero. The sum of next $m$ terms is : $\frac{ \pi m \left(m+n \right)}{n-1}$ $\frac{ \pi n \left(m+n \right)}{1-n}$ $\frac{ \pi m \left(m+n \right)}{1-n}$ $1$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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34

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 : $0$ $-1$ $1$ $2$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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35

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

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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36

NIELIT 2019 Feb Scientist D - Section D: 26
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 distance from $A$ will the dog catch up with the fox ? $100$ $m$ $110$ $m$ $105$ $m$ $120$ $m$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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37

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 : $\frac{1}{2}$ $\frac{3}{4}$ $\frac{1}{4}$ $1$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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38

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} $ $\pi$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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39

NIELIT 2019 Feb Scientist D - Section D: 23
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 $OA$ is perpendicular to $OB$. A cat is sitting at $P$ inside the tunnel $AB$ ... The ratio of speeds of jackal and cat is : $\frac{2}{3}$ $\frac{4}{3}$ $\frac{5}{3}$ $\frac{3}{2}$

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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40

NIELIT 2019 Feb Scientist D - Section D: 22
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, arriving at Ambala at $2$ hr late. If the train has covered $80$ km more before the ... just $1$ hr late. The usual speed of the train is : $20$ km/hr $30$ km/hr $40$ km/hr $50$ km/hr

Lakshman Patel RJIT asked in Quantitative Aptitude Apr 3, 2020

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