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Recent questions and answers in Quantitative Aptitude

0 votes
1 answer
1
Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to- person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. what is the minimum number of phone calls needed for the above purpose? 5 10 9 15
answered 1 day ago in Quantitative Aptitude Amit puri 28 points 1 1 2 223 views
0 votes
1 answer
2
Anil alone can do a job in $20$ days while Sunil alone can do it in $40$ days. Anil starts the job, and after $3$ days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done $10$% of the job, then in how many days was the job done? $14$ $13$ $15$ $12$
answered 4 days ago in Quantitative Aptitude Anam_ALP 364 points 1 1 4 214 views
1 vote
1 answer
3
Let $x$ and $y$ be positive real numbers such that $\log _{5}(x+y)+\log _{5}(x-y)=3$, and $\log _{2}y-\log _{2}x=1-log_{2}3$. Then xy equals $250$ $25$ $100$ $150$
answered Jun 1 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 115 views
1 vote
1 answer
4
If the population of a town is $p$ in the beginning of any year then it becomes $3+2p$ in the beginning of the next year. If the population in the beginning of $2019$ is $1000$, then the population in the beginning of $2034$ will be $(997)2^{14}+3$ $(1003)^{15}+6$ $(1003)2^{15}-3$ $(997)^{15}-3$
answered Jun 1 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 116 views
1 vote
2 answers
5
Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is $5:6$ $4:5$ $3:4$ $2:3$
answered May 31 in Quantitative Aptitude Lakshman Patel RJIT 9.3k points 33 587 822 117 views
1 vote
1 answer
6
If $a_{1}+a_{2}+a_{3}+\dots+a_{n}=3(2^{n+1}-2)$, for every $n\geq 1$, then $a_{11}$ equals ____
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 77 views
1 vote
1 answer
7
The product of two positive numbers is $616$. If the ratio of the difference of their cubes to the cube of their difference is $157:3$, then the sum of the two numbers is $58$ $50$ $95$ $85$
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 131 views
0 votes
1 answer
8
The number of solutions to the equation $|x|(6x^{2}+1)=5x^{2}$ is _____.
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 81 views
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1 answer
9
Consider a function $f$ satisfying $f(x+y)=f(x)f(y)$ where $x,y$ are positive integers, and $f(1)=2$. If $f(a+1)+f(a+2)+\ldots +f(a+n)=16(2^{n}-1)$ then $a$ is equal to ______
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 68 views
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1 answer
10
A chemist mixes two liquids $1$ and $2$. One litre of liquid $1$ weighs $1$ kg and one litre of liquid $2$ weighs $800$ gm. If half litre of the mixture weighs $480$ gm, then the percentage of liquid $1$ in the mixture, in terms of volume, is $85$ $70$ $75$ $80$
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 98 views
1 vote
1 answer
11
In a circle of radius $11$ cm, CD is a diameter and AB is a chord of length $20.5$ cm. If AB and CD intersect at a point E inside the circle and CE has length $7$ cm, then the difference of the lengths of BE and AE, in cm, is $2.5$ $3.5$ $0.5$ $1.5$
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 84 views
0 votes
1 answer
12
Meena scores $40$% in an examination and after review, even though her score is increased by $50$%, she fails by $35$ marks. If her post-review score is increased by $20$%, she will have $7$ marks more than the passing score. The percentage score needed for passing the examination is $70$ $60$ $75$ $80$
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 146 views
0 votes
1 answer
13
The wheel of bicycles $A$ and $B$ have radii $30$ cm and $40$ cm, respectively. While traveling a certain distance, each wheel of $A$ required $5000$ more revolutions than each wheel of $B$. If bicycle $B$ traveled this distance in $45$ minutes, then its speed, in km per hour, was $18\pi$ $12\pi$ $16\pi$ $14\pi$
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 80 views
0 votes
1 answer
14
In a race of three horses, the first beat the second by $11$ metres and the third by $90$ metres. If the second beat the third by $80$ metres, what was the length, in metres,of the racecourse? ____
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 85 views
0 votes
1 answer
15
For any positive integer $n$, let $f(n)=n(n+1)$ if n is even, and $f(n)=n+3$ if n is odd. if $m$ is a positive integer such that $8f(m+1)-f(m)=2$, then $m$ equals____
answered May 31 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 76 views
0 votes
1 answer
16
The age of a son, who is more than two years old, is equal to the units digit of the age of his father. After ten years, the age of the father will be thrice the age of the son. What is the sum of the present ages of the son and the father? $30$ years $36$ years $40$ years Cannot be determined
answered May 30 in Quantitative Aptitude Xavier 18 points 1 103 views
1 vote
1 answer
17
If $a_{1},a_{2}\dots$ are in A.P., then, $\frac{1}{\sqrt{a_{1}}+\sqrt{a_{2}}}+\frac{1}{\sqrt{a_{2}}+\sqrt{a_{3}}}+\dots+\frac{1}{\sqrt{a_{n}}+\sqrt{a_{n+1}}}$ is equal to $\frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{n-1}}}$ $\frac{n}{\sqrt{a_{1}}+\sqrt{a_{n+1}}}$ $\frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{n}}}$ $\frac{n}{\sqrt{a_{1}}-\sqrt{a_{n+1}}}$
answered May 28 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 108 views
0 votes
1 answer
18
A person invested a total amount of Rs $15$ lakh. A part of it was invested in a fixed deposit earning $6$% annual interest, and the remaining amount was invested in two other deposits in the ratio $2:1$, earning annual interest at the rates of $4$% and $3$%, respectively. If the total annual interest income is Rs $76000$ then the amount (in Rs lakh) invested in the fixed deposit was___
answered May 28 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 87 views
0 votes
1 answer
19
$AB$ is a diameter of a circle of radius $5$ cm. Let $P$ and $Q$ be two points on the circle so that the length of $PB$ is $6$ cm, and the length of $AP$ is twice that of $AQ$. Then the length, in cm, of $QB$ is nearest to $7.8$ $8.5$ $9.1$ $9.3$
answered May 28 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 74 views
1 vote
1 answer
20
Two cars travel the same distance starting at $10:00$ am and $11:00$ am, respectively, on the same day. They reach their common destination at the same point of time. If the first car traveled for at least $6$ hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is $30$ $25$ $10$ $20$
answered May 28 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 94 views
2 votes
1 answer
21
If $m$ and $n$ are integers such that $(\sqrt{2})^{19}3^{4}4^{2}9^{m}8^{n}=3^{n}16^{m}(\sqrt[4]{64})$ then $m$ is $-20$ $-12$ $-24$ $-16$
answered May 26 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 149 views
1 vote
1 answer
22
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 : $3$ $-1$ $-2$ $0$
answered May 25 in Quantitative Aptitude Nikhil_dhama 478 points 1 2 8 82 views
0 votes
1 answer
23
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 : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
answered May 25 in Quantitative Aptitude Nikhil_dhama 478 points 1 2 8 88 views
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1 answer
24
1 vote
1 answer
25
Ramesh and Gautam are among $22$ students who write an examination. Ramesh scores $82.5$. The average score of the $21$ students other than Gautam is $62$. The average score of all the $22$ students is one more than the average score of the $21$ students other than Ramesh. The score of Gautam is $49$ $48$ $51$ $53$
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 109 views
1 vote
1 answer
26
A club has $256$ members of whom $144$ can play football, $123$ can play tennis, and $132$ can play cricket. Moreover, $58$ members can play both football and tennis, $25$ can play both cricket and tennis, while $63$ can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is $45$ $38$ $32$ $43$
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 93 views
2 votes
1 answer
27
If $(5.55)^{x}=(0.555)^{y}=1000$, then the value of $\frac{1}{x}-\frac{1}{y}$ is $3$ $1$ $\frac{1}{3}$ $\frac{2}{3}$
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 95 views
1 vote
1 answer
28
On selling a pen at $5$% loss and a book at $15$% gain, Karim gains Rs. $7$. If he sells the pen at $5$% gain and the book at $10$% gain, he gains Rs. $13$. What is the cost price of the book in Rupees? $80$ $85$ $95$ $100$
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 85 views
0 votes
1 answer
29
At their usual efficiency levels, A and B together finish a task in $12$ days. If A had worked half as efficiency as she usually does, and B had worked thrice as efficiency as he usually does, the task would have been completed in $9$ days. How many days would A take to finish the task if she works alone at her usual efficiency? $24$ $18$ $12$ $36$
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 96 views
0 votes
1 answer
30
Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in $13$ days, then how many men can finish the job in $13$ days?______
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 72 views
1 vote
1 answer
31
The income of Amala is $20$% more than that of Bimala and $20$% less than that of Kamala. If kamala’s income goes down by $4$% and Bimala’s goes up by $10$%, then the percentage by which kamala’s income would exceed Bimala’s is nearest to $31$ $28$ $32$ $29$
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 138 views
0 votes
1 answer
32
In a class, $60$% of the students are girls and the rest are boys. There are $30$ more girls than boys. If $68$% of the students, including $30$ boys, pass an examination, the percentage of the girls who do not pass is____
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 88 views
1 vote
1 answer
33
Amala, Bina, and Gouri invest money in the ratio $3:4:5$ in fixed deposits having respective annual interest rates in the ratio $6:5:4$. what is their total interest income (in Rs) after a year, if Bina’s interest income exceeds Amala’s by Rs $250$? $6350$ $7250$ $7000$ $6000$
answered May 24 in Quantitative Aptitude Anam_ALP 364 points 1 1 4 90 views
0 votes
1 answer
34
In the following figure, the area of the isosceles right triangle ABE is 7 sq.cm. If EC=3BE, then the area of rectangle ABCD id (insq.cm.) 64 82 26 56
answered May 17 in Quantitative Aptitude Hira Thakur 3.7k points 5 10 66 149 views
0 votes
1 answer
35
Points $E, F, G, H$ lie on the sides $AB, BC, CD$, and $DA$, respectively, of a square $ABCD$. If $EFGH$ is also a square whose area is $62.5\%$ of that of $ABCD$ and $CG$ is longer than $EB$, then the ratio of length of $EB$ to that of $CG$ is $2:5$ $4:9$ $3:8$ $1:3$
answered May 16 in Quantitative Aptitude Aashay kaurav 172 points 1 4 94 views
0 votes
1 answer
36
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$ $\log_68$ $\log_616$ $\log_28$
answered May 15 in Quantitative Aptitude Hira Thakur 3.7k points 5 10 66 87 views
0 votes
1 answer
37
The value of $\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+ \dots \dots \dots+\dfrac{1}{90}$ is: $\dfrac{1}{5}\\$ $\dfrac{2}{5} \\$ $\dfrac{3}{5} \\$ $1$
answered May 15 in Quantitative Aptitude Hira Thakur 3.7k points 5 10 66 124 views
0 votes
1 answer
38
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 ? $37.5$ $m$ $150$ $m$ $75$ $m$ $15$ $m$
answered May 14 in Quantitative Aptitude Ajay_777 18 points 1 1 2 85 views
0 votes
1 answer
39
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? $55,000$ $70,000$ $72,500$ $75,000$
answered May 14 in Quantitative Aptitude Debdeep1998 182 points 1 2 5 93 views
0 votes
1 answer
40
If $9$ men working $7\frac{1}{2}$ hours a day can finish a work in $20$ days, then how many days will be taken by $12$ men working $6$ hours a day to finish the work, it being given that $3$ men of former type work as much as $2$ men of the latter type in the same time ? $12\frac{1}{2}$ $13$ $9\frac{1}{2}$ $11$
answered May 12 in Quantitative Aptitude Nikhil_dhama 478 points 1 2 8 117 views
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