SSC CGL Tier 1 Quantitative Aptitude Questions and Answers Free Online Mock Test 47

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?

A. 144$\sqrt 3$ - 48$\pi$$cm^2$

B. 121$\sqrt 3$ - 36$\pi$$cm^2$

C. 144$\sqrt 3$ - 36$\pi$$cm^2$

D. 121$\sqrt 3$ - 48$\pi$$cm^2$

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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

A. 4.4 km/h

B. 4.25 km/h

C. 4.25 km/h

D. 5.15 km/h

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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?

A. 12

B. 11

C. 13

D. 14

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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?

A. 20 $m^3$

B. 40$m^3$

C. 50$m^3$

D. 60$m^3$

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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.?

A. 5

B. 6

C. 7

D. 8

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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?

A. 250%

B. 100%

C. 70%

D. 30%

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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)

A. (1 - 2 $\sqrt 2$) :1

B. (1 + 2 $\sqrt 2$) :1

C. (3 + 2 $\sqrt 2$) :1

D. (3 - 2 $\sqrt 2$) :1

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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?

A. 17%

B. 16%

C. 18%

D. 14%