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Recent questions tagged quantitative-aptitude

2 votes
1 answer
202
CAT 2020 Set-1 | Question: 67
If $x=\left ( 4096 \right )^{7+4\sqrt{3}}$, then which of the following equals $64$? $\frac{x^{7}}{x^{2\sqrt{3}}}$ $\frac{x^{7}}{x^{4\sqrt{3}}}$ $\frac{x\frac{7}{2}}{x\frac{4}{\sqrt{3}}}$ $\frac{x\frac{7}{2}}{x^{2\sqrt{3}}}$
If $x=\left ( 4096 \right )^{7+4\sqrt{3}}$, then which of the following equals $64$?$\frac{x^{7}}{x^{2\sqrt{3}}}$$\frac{x^{7}}{x^{4\sqrt{3}}}$$\frac{x\frac{7}{2}}{x\frac{...
1 votes
1 answer
203
CAT 2020 Set-1 | Question: 68
If $f\left ( 5+x \right )= f\left ( 5-x \right )$ for every real $x,$ and $f\left ( x \right )=0$ has four distinct real roots, then the sum of these roots is $0$ $40$ $10$ $20$
If $f\left ( 5+x \right )= f\left ( 5-x \right )$ for every real $x,$ and $f\left ( x \right )=0$ has four distinct real roots, then the sum of these roots is$0$$40$$10$$...
1 votes
1 answer
204
CAT 2020 Set-1 | Question: 69
If $a, b$ and $c$ are positive integers such that $ab=432, bc=96$ and $c<9,$ then the smallest possible value of $a+b+c$ is $56$ $59$ $49$ $46$
If $a, b$ and $c$ are positive integers such that $ab=432, bc=96$ and $c<9,$ then the smallest possible value of $a+b+c$ is$56$$59$$49$$46$
1 votes
1 answer
205
CAT 2020 Set-1 | Question: 70
In a group of people, $28\%$ of the members are young while the rest are old. If $65\%$ of the members are literates, and $25\%$ of the literates are young, then the percentage of old people among the illiterates is nearest to $62$ $55$ $66$ $59$
In a group of people, $28\%$ of the members are young while the rest are old. If $65\%$ of the members are literates, and $25\%$ of the literates are young, then the perc...
1 votes
1 answer
209
CAT 2020 Set-1 | Question: 75
The number of distinct real roots of the equation $\left ( x+\frac{1}{x}\right )^{2}-3\left ( x+\frac{1}{x} \right )+2= 0$ equals
The number of distinct real roots of the equation $\left ( x+\frac{1}{x}\right )^{2}-3\left ( x+\frac{1}{x} \right )+2= 0$ equals
0 votes
1 answer
212
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
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$30$ minut...
0 votes
1 answer
213
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
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 fe...
0 votes
1 answer
215
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
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
0 votes
1 answer
217
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
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...
1 votes
1 answer
218
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? $20$ $80$ $77$ $37$
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$$37$
1 votes
1 answer
219
NIELIT 2016 MAR Scientist D: 71
A certain number when added to $50\%$ of itself is $27$. What is the number? $7$ $9$ $11$ $18$
A certain number when added to $50\%$ of itself is $27$. What is the number?$7$$9$$11$$18$
0 votes
1 answer
220
NIELIT 2016 MAR Scientist D: 70
Twelve less than $4$ times a number is $20$. What is the number? $2$ $4$ $6$ $8$
Twelve less than $4$ times a number is $20$. What is the number?$2$$4$$6$$8$
1 votes
1 answer
221
NIELIT 2016 MAR Scientist D: 69
The sum of a number and its double is $69$. What is the number? $46.6$ $34.5$ $23$ $20$
The sum of a number and its double is $69$. What is the number?$46.6$$34.5$$23$$20$
0 votes
2 answers
222
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? $55,000$ $70,000$ $72,500$ $75,000$
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...
1 votes
1 answer
223
NIELIT 2016 MAR Scientist D: 67
Sonal has finished reading $30\%$ of a $340$-page novel. How many pages has she read? $102$ $103$ $105$ $113$
Sonal has finished reading $30\%$ of a $340$-page novel. How many pages has she read?$102$$103$$105$$113$
0 votes
1 answer
224
NIELIT 2016 MAR Scientist D: 73
The perimeter of a parallelogram is $50$ cm. The length of the parallelogram is $5$ cm more than the width. Find the length of the parallelogram. $15$ cm $11$ cm $5$ cm $10$ cm
The perimeter of a parallelogram is $50$ cm. The length of the parallelogram is $5$ cm more than the width. Find the length of the parallelogram.$15$ cm$11$ cm$5$ cm$10$ ...
0 votes
2 answers
225
NIELIT 2019 Feb Scientist D - Section D: 4
If $P$\left (x, y \right)$ is any point on the line joining the points $A$\left (a, 0 \right)$ and $B$\left(0, b \right)$ then the value of $bx+ay-ab$ is : $1$ $-1$ $0$ $2$
If $P$$\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$$2...
0 votes
2 answers
226
NIELIT 2019 Feb Scientist D - Section D: 2
A conical tent is to accommodate $10$ persons. Each person must have $6\;m^{2}$ space to sit and $30\;m^{3}$ of air to breath. What will be height of cone ? $37.5\;m$ $150\;m$ $75\;m$ $15\;m$
A conical tent is to accommodate $10$ persons. Each person must have $6\;m^{2}$ space to sit and $30\;m^{3}$ of air to breath. What will be height of cone ?$37.5\;m$$150\...
0 votes
4 answers
228
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
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...
2 votes
2 answers
229
NIELIT 2019 Feb Scientist D - Section D: 5
How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$ $2$ $3$ $4$
How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$$2$$3$$4$
1 votes
1 answer
230
NIELIT 2019 Feb Scientist D - Section D: 6
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ?$0$$\frac{1}{2}$$\frac{-1}{4}$$-1$
0 votes
1 answer
232
NIELIT 2019 Feb Scientist D - Section D: 9
Find the mode of the following data : ... $20.22$ $19.47$ $21.12$ $20.14$
Find the mode of the following data :$\begin{array}{|cl|cI|}\hline&\text{Age} & \text{0-6} & \text{6-12} & \text{12-18} & \text{18-24} & \text{24-30} & \text{30-36} & \te...
0 votes
1 answer
233
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 $P\left(x^{3}-1 \right)$. $ax^{n}$ $ax^{n+2}$ $ax$ $2ax$
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$$2ax$
2 votes
1 answer
234
NIELIT 2019 Feb Scientist D - Section D: 10
In an acute angled triangle $ABC$, if $\tan \left(A+B-C \right)=1$ and $\sec \left(B+C-A \right)=2$, Find angle $A$. $60^\circ$ $45^\circ$ $30^\circ$ $90^\circ$
In an acute angled triangle $ABC$, if $\tan \left(A+B-C \right)=1$ and $\sec \left(B+C-A \right)=2$, Find angle $A$.$60^\circ$$45^\circ$$30^\circ$$90^\circ$
0 votes
1 answer
235
NIELIT 2019 Feb Scientist D - Section D: 15
The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are : $1, -8$ $-1, -2$ $\frac{2}{3}, \frac{1}{3}$ $-2, -7$
The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are :$1, -8$$-1, -2$$\frac{2}{3}, \frac{1}{3}$$-2, -7$
0 votes
1 answer
237
NIELIT 2019 Feb Scientist D - Section D: 13
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms. $-250$ $-500$ $-450$ $-300$
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms.$-250$$-500$$-450$$-300$
0 votes
1 answer
239
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
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$\...
0 votes
1 answer
240
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 : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
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=...
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