Race for Mains : Career SSC Quiz : Quant Day 2



1. A sum of money is lent at x% per annum for 3 years. If the same amount is lent at (x + 3)% per annum for the same time then ` 1296 more interest is obtained. Find out the sum?
(A) ` 12000
(B) ` 14000
(C) ` 14400
(D) ` 10400

2. A container contains 150 litres of water from which 15 litres of water was taken out and replaced with alcohol. 

This process was repeated one more time.
 Now in container ratio of water and alcohol is —
 (A) 19 : 81
 (B) 15 : 9 
(C) 81 : 19 
(D) 9 : 15

3. Two numbers, when divided by 17, leave remainder 13 and 11 respectively. If the sum of those two numbers is divided by 17, then remainder will be —
 (A) 13
(B) 11
(C) 7
 (D) 4

4. Three successive discounts 40%, 30% and 20% is equivalent to a single discount of —
(A) 80% 

(B) 50% 
(C) 66.4%
(D) 58%

5. One day a fruit seller sells 200 mangoes and he gains equal to the selling price of 40 mangoes. Next day he sells same number of mangoes and he losses equal to the selling price of 40 mangoes. Find out the drift in value of profit and loss percentage in both conditions. 

(A) 25%
(B) 16.66 %
(C) 8.33 % 

(D) 6.66 %

6.O is the orthocentre of triangle ABC. Then angle BOC + angle BAC is equal to
 (A) 135°
(B) 180°
 (C) 90°
(D) 120°

7. From an aeroplane just over a straight road, the angles of depression of two consecutive kilometre stones situated at opposite sides of the aeroplane were found to be 60° and 30° respectively. The height (in km) of the aeroplane from the road at that instant, is —
(A) rt3/ 3
(B) rt 3/4
(C) rt 3
(D) rt3/2

8. If sec x – cos x= 2 /3 , where x is a positive acute angle, then the value of sec x is —
(A) 1
(B) 2
(C) 0 

(D) 2

9. If the surface areas of two spheres are in the ratio 9:16, then the ratio of their volumes is —
(A) 27: 64 

(B) 64 : 27
 (C) 9 : 16
 (D) 16 : 9

10. In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of the half of the vertex angle of the triangle is
(A) 70°
(B) 80°
(C) 50° 

(D) 60°



 Answers


Quant Day 3         English Day 3
Quant Day 2         English Day 2
Quant Day 1         English Day 1 

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