# ssc cgl tier 1 :: quantitative aptitude :: qa test 47

## Home ssc cgl tier 1 / quantitative aptitude Questions and Answers

1 .
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$

2 .
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

3 .
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

4 .
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$m^3$

5 .
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

6 .
The profit is 320% of the cost price. The cost price increases by 25%, but the selling price remains constant. Find out approximately what percentage of the selling price is the profit?
250%
100%
70%
30%

7 .
As per the observations of a person, standing exactly midway between two towers, the top of the two towers are at ang1le of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower?

(Given that tan 22.5° = $\sqrt2$ - 1)
(1 - 2 $\sqrt 2$) :1
(1 + 2 $\sqrt 2$) :1
(3 + 2 $\sqrt 2$) :1
(3 - 2 $\sqrt 2$) :1

8 .
Prasanth bought a car and paid 10 % less than the original price. He sold it with 30% profit on the price he had paid. What percentage of profit did he earn on the original price?
17%
16%
18%
14%

9 .
If x = 8 + 3 $\sqrt 7$, then what is the value of $\sqrt x$ - $1 \over \sqrt x$ = ?
$\sqrt {12}$
4
2
$\sqrt {14}$

10 .
Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P
62%
50%
75%
66%