Home SSC / SSC CHSL Quantitative Aptitude Questions and Answers

1 .
Karthik read $7\over13$th of a book in 1st week and $5\over 9$ of the remaining book in $2^ {nd}$ week. If there were 96 pages unread after $2^ {nd}$ week, then how many pages were there in the book ?
518
452
468
502
2 .
Two trains running in opposite directions cross a man standing on the platform in 27 and 17 seconds respectively and they cross each other in 23 seconds. What is the ratio of their speeds?
Insufficient data
3 : 1
1 : 3
3 : 2
3 .
Machine P can print one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours, while machine R can print the same in 12 hours. All the machines started printing at 9 a.m. Machine P is stopped at 11 a.m. and the remaining two machines complete the work. Approximately, at what time will the printing of one lakh books be completed?
3 pm
2 pm
1 pm
1 am
4 .
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
1800
900
2500
2700
5 .
If $1 \over x + y$ = $1 \over x$ + $1 \over y$ (x $\neq$ 0, y $\neq$ 0, x $\neq$ y) then value of $x^2$ + $y^2$ + xy is
- $1 \over 2$
$3 \over 2$
1
0
6 .
If cos$\theta$ = $1 \over \sqrt 5$ , then value of $6 sin\theta + 3 cos\theta \over sin^3 \theta + 2 cos^3 \theta + 3 cos \theta$ is
3
4
6
9
7 .
The base of a parallelogram is (p + 4), altitude to the base is (p - 3) and the area is ($p^2$ - 4). Find its area.
40 sq. units
54 sq. units
36 sq. units
60 sq. units
8 .
A can complete a work in 12 days while working 8 hours per day. B can complete the same work in 8 days while working 10 hours a day. If A and B work together, while working 8 hours a day, then the work can be completed in ___ days.
4$4 \over 9$
3$7 \over 11$
5$5 \over 11$
5$5 \over 9$
9 .
In a $\Delta$ABC, points M and N respectively lie on side AB and AC such that area of triangle ABC is double than the area of trapezium BMNC. The ratio AM : MB is
(2 - $\sqrt 2$) : 1
(2 + $\sqrt 2$) : 1
($\sqrt 2$ + 1) : 1
($\sqrt 2$ - 1) : 1
10 .
If $\alpha$ is an acute angle and 2sin$\alpha$+ 15$cos^2$ $\alpha$= 7, then value of $tan^ 2$$\alphais 4 \over 3 9 \over 16 16 \over 9 3 \over 4  View Answer Discuss in Forum 11 . A circle is inscribed in an equilateral triangle of side 24 cm, touching its sides. What is the area of the remaining portion of the triangle? 144\sqrt 3 - 48\pi$$cm^2$
121$\sqrt 3$ - 36$\pi$$cm^2 144\sqrt 3 - 36\pi$$cm^2$
121$\sqrt 3$ - 48$\pi$$cm^2$
12 .
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is
4.4 km/h
4.25 km/h
4.25 km/h
5.15 km/h
13 .
In an examination, a student's average marks were 63. If he had obtained 20 more marks in Geography and 2 more marks in history, then his average would have been 65. How many subjects were there in the examination?
12
11
13
14
14 .
A booster pump can be used for filling as well as emptying a tank. The capacity of the tank is 2400 $m^3$. The emptying capacity of the tank is 10 $m^ 3$ /min higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?
20 $m^3$
40$m^3$
50$m^3$
60$m^3$
15 .
A and B walking around a circular park at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, then how many times shall they meet each other before 9.30 a.m.?
5
6
7
8