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Recent questions and answers in Quantitative Aptitude

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1 answer
1
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
answered 19 hours ago in Quantitative Aptitude Aashay kaurav 36 points 2 88 views
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1 answer
2
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 accident, it would have been just $1$ hr late. The usual speed of the train is : $20$ km/hr $30$ km/hr $40$ km/hr $50$ km/hr
answered 20 hours ago in Quantitative Aptitude Aashay kaurav 36 points 2 96 views
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3
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 $AB$ making the shortest possible distance ... $A$. The ratio of speeds of jackal and cat is : $\frac{2}{3}$ $\frac{4}{3}$ $\frac{5}{3}$ $\frac{3}{2}$
answered 20 hours ago in Quantitative Aptitude Aashay kaurav 36 points 2 73 views
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1 answer
4
For the word given at the top of each table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H). Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched. EXCEED Dictionary ... C-E, D-G A-H, B-E, C-F, D-G A-G, B-F, C-E, D-H A-F, B-G, C-H, D-E
answered 5 days ago in Quantitative Aptitude kritika2809 18 points 1 179 views
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1 answer
5
Let $A$ and $B$ be two regular polygons having $a$ and $b$ sides, respectively. If $b= 2a$ and each interior angle of $B$ is $3/2$ times each interior angle of $A$, then each interior angle, in degrees, of a regular polygon with $a + b$ sides is_____
answered Apr 24 in Quantitative Aptitude haralk10 238 points 2 2 4 90 views
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1 answer
6
Let $A$ be a real number. Then the roots of the equation $x^{2}-4x-\log _{2}A=0$ are real and distinct if and only if $A> \frac{1}{16}$ $A> \frac{1}{8}$ $A< \frac{1}{16}$ $A< \frac{1}{8}$
answered Apr 24 in Quantitative Aptitude haralk10 238 points 2 2 4 84 views
1 vote
1 answer
7
A can contains a mixture of two liquids $A$ and $B$ in proportion $7:5$. When $9$ litres of mixture are drawn off and the can is filled with $B$, the proportion of $A$ and $B$ becomes $7:9$. How many litres of liquid $A$ was contained by the can initially? $25$ $10$ $20$ $21$
answered Apr 23 in Quantitative Aptitude haralk10 238 points 2 2 4 78 views
1 vote
1 answer
8
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$
answered Apr 22 in Quantitative Aptitude Shiva Sagar Rao 112 points 2 30 41 84 views
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1 answer
9
The sum of first $n$ terms of an $A.P$. whose first term is $\pi$ is zero. The sum of next $m$ terms is : $\frac{ \pi m \left(m+n \right)}{n-1}$ $\frac{ \pi n \left(m+n \right)}{1-n}$ $\frac{ \pi m \left(m+n \right)}{1-n}$ $1$
answered Apr 22 in Quantitative Aptitude Shiva Sagar Rao 112 points 2 30 41 69 views
0 votes
1 answer
10
A cylindrical box of radius $5$ cm contains $10$ solid spherical balls each of radius $5$ cm. If the topmost ball touches the upper cover of the box, then the volume of the empty space in the box is: $\dfrac{2500\pi}{3}$ cubic cm $500\pi$ cubic cm $2500\pi$ cubic cm $\dfrac{5000\pi}{3}$ cubic cm
answered Apr 21 in Quantitative Aptitude haralk10 238 points 2 2 4 87 views
0 votes
1 answer
11
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 : $\frac{10}{21}$ $\frac{13}{27}$ $\frac{15}{22}$ $\frac{22}{15}$
answered Apr 20 in Quantitative Aptitude Shiva Sagar Rao 112 points 2 30 41 98 views
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1 answer
12
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1 answer
13
Adrian starts a start-up with a capital of Rs. $85,000.$ Brian joins in the start-up with Rs. $42,500$ after sometime. For how much period does Brian join, if the profits at the end of the year are divided in the ratio of $3:1?$ $5$ months $6$ months $7$ months $8$ months
answered Apr 20 in Quantitative Aptitude Asim Siddiqui 4 38 points 1 2 3 113 views
0 votes
1 answer
14
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. ${183.3\ cm^{2}}$ ${366.6\ cm^{2}}$ ${244.4\ cm^{2}}$ ${188.39\ cm^{2}}$
answered Apr 19 in Quantitative Aptitude haralk10 238 points 2 2 4 115 views
0 votes
1 answer
15
The price of an article was increased by $p\%$, later the new price was decreased by $p\%$. If the last price was Re. $1$ then the original price was: $\dfrac{1-p^{2}}{200}\\$ $\dfrac{\sqrt{1-p^{2}}}{100} \\$ $1-\dfrac{p^{2}}{10,000-p^{2}} \\$ $\dfrac{10,000}{10,000-p^{2}}$
answered Apr 17 in Quantitative Aptitude haralk10 238 points 2 2 4 89 views
0 votes
1 answer
16
What is the largest positive integer $n$ such that $\frac{n^{2}+7n+12}{n^{2}-n-12}$ is also a positive integer? $8$ $12$ $16$ $6$
answered Apr 16 in Quantitative Aptitude Shiva Sagar Rao 112 points 2 30 41 136 views
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1 answer
17
The quadratic equation $x^{2}+bx+c=0$ has two roots $4a$ and $3a$, where a is an integer. Which of the following is a possible value of $b^{2}+c$? $3721$ $549$ $427$ $361$
answered Apr 16 in Quantitative Aptitude haralk10 238 points 2 2 4 97 views
0 votes
1 answer
18
A cyclist leaves $A$ at $10$ am and reaches $B$ at $11$ am. Starting from $10:01$ am, every minute a motor cycle leaves $A$ and moves towards $B$. Forty-five such motor cycles reach $B$ by $11$ am. All motor cycles have the same speed. If the cyclist had doubled his speed, how many motor cycles would have reached $B$ by the time the cyclist reached $B$? $23$ $20$ $15$ $22$
answered Apr 16 in Quantitative Aptitude haralk10 238 points 2 2 4 127 views
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1 answer
19
Two ants $A$ and $B$ start from a point $P$ on a circle at the same time, with $A$ moving clock-wise and $B$ moving anti-clockwise. They meet for the first time at $10:00$ am when $A$ has covered $60$% of the track. If $A$ returns to $P$ at $10:12$ am, then $B$ returns to $P$ at $10:25$am $10:18$am $10:27$am $10:45$am
answered Apr 16 in Quantitative Aptitude haralk10 238 points 2 2 4 125 views
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1 answer
20
John jogs on track A at $6$ kmph and Mary jogs on track $B$ at $7.5$ kmph. The total length of tracks $A$ and $B$ is $325$ metres. While John makes $9$ rounds of track $A$, Mary makes $5$ rounds of track $B$. In how many seconds will Mary make one round of track $A$?______
answered Apr 15 in Quantitative Aptitude haralk10 238 points 2 2 4 158 views
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1 answer
21
The salaries of Ramesh, Ganesh and Rajesh were in the ratio $6:5:7$ in $2010$, and in the ratio $3:4:3$ in $2015$. If Ramesh’s salary increased by $25$% during $2010-2015$, then the percentage increase in Rajesh’s salary during this period is closest to $8$ $7$ $9$ $10$
answered Apr 15 in Quantitative Aptitude haralk10 238 points 2 2 4 171 views
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1 answer
22
If x is a real number, then $\sqrt{\log _{e}\frac{4x-x^{2}}{3}}$ is a real number if and only if $1\leq x\leq 2$ $-3\leq x\leq 3$ $1\leq x\leq 3$ $-1\leq x\leq 3$
answered Apr 15 in Quantitative Aptitude haralk10 238 points 2 2 4 93 views
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1 answer
23
In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by $6$. The revised scores of Anjali, Mohan, and Rama were in the ratio $11:10:3$. Then Anjali's score exceeded Rama's score by $24$ $26$ $32$ $35$
answered Apr 15 in Quantitative Aptitude haralk10 238 points 2 2 4 219 views
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1 answer
24
A dishonest milkman professes to sell his milk at $C.P$. but he mixes it with water and thereby gains $25\%$. The percentage of water in the mixture is : $25\%$ $20\%$ $4\%$ None of these
answered Apr 14 in Quantitative Aptitude haralk10 238 points 2 2 4 109 views
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1 answer
25
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: $4.63 m$ $3.21 m$ $6.3 m$ $5.6 m$
answered Apr 14 in Quantitative Aptitude haralk10 238 points 2 2 4 104 views
0 votes
1 answer
26
Two persons start walking on a road that diverge at an angle of $120^{\circ}$. If they walk at the rate of $3$km/h and $2$km/h respectively. Find the distance between them after $4$hrs. $4\sqrt{19}$ km $5$ km $7$ km $8\sqrt{19}$ km
answered Apr 13 in Quantitative Aptitude haralk10 238 points 2 2 4 122 views
0 votes
1 answer
27
The expressions $\dfrac{\tan A}{1-\cot A}+\dfrac{\cot A}{1-\tan A}$ can be written as: $\sin A \ \cos A+1$ $\sec A \ cosec A+1$ $\tan A+ \cot A+1$ $\sec A +cosec A$
answered Apr 13 in Quantitative Aptitude haralk10 238 points 2 2 4 102 views
0 votes
1 answer
28
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: $2$ $3$ $\dfrac{1}{2}$ $1$
answered Apr 13 in Quantitative Aptitude haralk10 238 points 2 2 4 97 views
1 vote
2 answers
29
A flagstaff $17.5$ m high casts a shadow of length $40.25$ m. The height of the building, which casts a shadow of length $28.75$ m under similar condition will be? $10$ m $12.5$ m $17.5$ m $21.25$ m
answered Apr 12 in Quantitative Aptitude Asim Siddiqui 4 38 points 1 2 3 198 views
0 votes
1 answer
30
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
answered Apr 12 in Quantitative Aptitude haralk10 238 points 2 2 4 80 views
0 votes
1 answer
31
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
answered Apr 12 in Quantitative Aptitude haralk10 238 points 2 2 4 135 views
0 votes
1 answer
32
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
answered Apr 12 in Quantitative Aptitude haralk10 238 points 2 2 4 107 views
0 votes
1 answer
33
Let x, y and z be distinct integers, that are odd and positive. Which one of the following statements cannot be true? $xyz^2$ is odd. $(x − y)^2 z$ is even. $(x + y − z)^2 (x + y)$ is even. $(x − y) (y + z) (x + y − z)$ is odd
answered Apr 5 in Quantitative Aptitude ascend 98 points 1 127 views
1 vote
1 answer
34
In an acute angled triangle $ABC$, if $\tan \left(A+B-C \right)=1$ and $\sec \left(B+C-A \right)=2$, Find angle $A$. $60^\circ$ $45^\circ$ $30^\circ$ $90^\circ$
answered Mar 27 in Quantitative Aptitude Hira Thakur 3.5k points 4 10 63 88 views
0 votes
1 answer
35
$\left [\frac{1}{1-x}+\frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{4}{1+x^{4}}+\frac{8}{1+x^{8}} \right ]$ equal to : $1$ $0$ $\frac{8}{1-x^{8}}$ $\frac{16}{1-x^{16}}$
answered Mar 27 in Quantitative Aptitude Hira Thakur 3.5k points 4 10 63 82 views
1 vote
1 answer
36
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 : $18$ $24$ $81$ $42$
answered Mar 27 in Quantitative Aptitude Hira Thakur 3.5k points 4 10 63 112 views
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1 answer
37
Find the mode of the following data : $\begin{array}{|cl|cI|}\hline &\text{Age} & \text{0-6} & \text{6-12} & \text{12-18} & \text{18-24} & \text{24-30} & \text{30-36} & \text{36-42} \\ \hline &\text{Frequency} & \text{6} & \text{11} & \text{25} & \text{35} & \text{18} & \text{12} & \text{6} \\ \hline \end{array}$ $20.22$ $19.47$ $21.12$ $20.14$
answered Mar 27 in Quantitative Aptitude Hira Thakur 3.5k points 4 10 63 105 views
1 vote
1 answer
38
If between 1987 and 2007 the trend for fashion ties had been the same as for cravats, how many fashion ties would have been sold in 2007? 72600 72100 71300 70500 69200 For all types of tie together, what is the percentage decline between 2002 and 2007? (to nearest five ... 5% what was the total value of silk Ties sold in 2002? ( to nearest £1000) £372,000 £382,000 £392,000 £402,000 £412.000
answered Mar 2 in Quantitative Aptitude Dellie 18 points 1 1.6k views
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