# Quant practice IBPS | PO | Clerk | SO | SSC

Quant Practice

Q.1  Two trains start together from a Station A in the same direction. The second train can cover 1.2 times the distance of first train in the same time. One hour later, a third train starts from same station and in the same direction. It overtakes the second train exactly 2 hours after it overtakes the first train.

What is the speed of third train, if the speed of the first train is 50 km/h ?
A. 60 km/h
B. 90 km/h
C. 75 km/h
D. 80 km/h
E. None of these

Q.2 Two trains start together from a Station A in the same direction. The second train can cover 1.2 times the distance of first train in the same time. One hour later, a third train starts from same station and in the same direction. It overtakes the second train exactly 2 hours after it overtakes the first train.

How much distance is covered by third train till the time it overtakes the second train, if the speed of the first train is 50 km/h?
A. 360 km
B. 300 km
C. 225 km
D. 240 km
E. None of these

Q.3 There are 500 students in a school. Out of them 200 play football, 300 play cricket and 150 play hockey. 150 students play both football and cricket, 100 students play both cricket and hockey and 75 students play both hockey and football.

If the number of students who play either only cricket or only hockey is 135, then how many students play both football and cricket but not hockey?
A. 105
B. 85
C. 95
D. 115
E. None of these

Q.4  The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?

(a) 24 cm
(b) 26 cm
(c) 52 cm
(d) Cannot be determined
(e) None of these

Q.5  Kanchan purchased 120 reams of paper at Rs. 100 per ream and the expenditure on transport was Rs. 480. she had to pay an octroy duty of 50 paise per ream and the coolie charges were Rs. 60. What should be charge per ream to gain 40%?

(a) Rs. 155
(b) Rs. 147
(c) Rs. 138
(d) Rs. 165
(e) None of these

Q.6 Simple interest for a sum of Rs. 1550 for 2 yr is Rs. 20 more than the simple interest for Rs. 1450 for the same duration. Find the rate of interest.

(a) 10%
(b) 10.25%
(c) 20%
(d) 15%
(e) 12%

Q.7 A retailer uses A type of drink which contains 80% of spirit with B type of drink which contains 32% of spirit in such a way that the final mixture contains 48% of spirit. In what ratio did he mixed the A type drink with B type drink?

(a) 1/4
(b) 3/5
(c) 2/1
(d) 2/3
(e) None of these
Q.8 In a school there are 250 students out of whom 12 percent are girls. Each girl’s monthly fee is Rs 450 and each boy’s monthly fee is 24% more than a girl. What is the total monthly fee of girls and boys together?
(a) Rs 1,36,620
(b) Rs 1,36,260
(c) Rs 1,32,660
(d) Rs 1,32,460
(e) None of these
Directions (9-10): What should come in place of question mark (?) in the following number series?
Q.9       6,     11,     31,     121,     601,     ?
(a) 3600
(b) 3621
(c) 3601
(d) 3611
(e) None of these

Q.10         7,     11,     19,     35,     67,     ?
(a) 99
(b) 131
(c) 9264
(d) 137
(e) None of these