SSC SI ( CAPF / DELHI POLICE ) EXAM 2016 Quantative & Reasoning Question paper
Q.1 ) A trader lists his article 20% above the cost price and allows a discount of 10% on cash payment. His gain per cent is
A) 0.06
B) 0.05
C) 0.08
D) 0.1
ANS - 0.08
Q.2 ) A chord of length 24 cm is at a distance of 5 cm form the centre of a circle. The length of the chord of the same circle which is at a distance of 12 cm from the centre is
A) 12 cm
B) 11 cm
C) 17 cm
D) 10 cm
ANS - 10 cm
Q.3 ) A sum of Rs. x was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs. 300 more. The value of 4x is
A) 16000
B) 24000
C) 20000
D) 36000
ANS - 20000
Q.4 ) If 3x + y = 81 and 81x – y = 3, then the value of x/y is
A) 17/15
B) 15/34
C) 15/17
D) 17/30
ANS - 17/15
Q.5 ) The average monthly income of A and B is Rs. 15,050, the average monthly income of B and C is Rs. 15,350 and the average income of A and C is Rs. 15,200. The monthly income of A is
A) Rs. 14,900
B) Rs. 15,500
C) Rs. 15,900
D) Rs. 15,200
ANS - Rs. 14,900
Q.6 ) If p, q, r are all real numbers, then (p – q)3 + (q – r)3 + (r – p)3 is equal to
A) (p – q) (q – r) (r – p)
B) 1
C) 3(p – q) (q – r) (r – p)
D) 0
ANS - 3(p – q) (q – r) (r – p)
Q.7 ) A number is increased by 15% and then decreased by 25% and the number becomes 22 less than the original number. The original number is
A) 140
B) 160
C) 100
D) 120
ANS - 160
Q.8 ) By selling an article at 3/4 of selling price, a trader incurred a loss of 10%. The profit/loss percentage, when it is sold at the original selling price, is
A) 20% profit
B) 120% profit
C) 20% loss
D) 32.5% loss
ANS - 20% profit
Q.9 ) The average age of a class is 15.8 years. The average age of the boys in the class in 16.4 year while that of the girls is 15.4 years. The ratio of boys to girls in the class is
A) 3 : 4
B) 2 : 3
C) 1 : 2
D) 3 : 5
ANS - 2 : 3
Q.10 ) A man travelled a distance of 72 km in 12 hours. He travelled partly on foot at 5 km/hour and partly on bicycle at 10 km/hour. The distance travelled on foot is
A) 46 km
B) 50 km
C) 48 km
D) 52 km
ANS - 48 km
Q.11 ) If 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days, then 10 women will complete it in
A) 40 days
B) 45 days
C) 50 days
D) 35 days
ANS - 40 days
Q.12 ) A can is full of a mixture of two liquids A and B in the ratio of 7 : 5. When 9 litres of mixture are drawn off from the can and replaced by the same quantity of liquid B, the ratio of A and B in the can becomes 7 : 9. The capacity of the can is
A) 10 litres
B) 20 litres
C) 21 litres
D) 36 litres
ANS - 36 litres
Q.13 ) A sum of money placed at compound interest double itself at 2 years. The year it will take to amount 4 times itself is
A) 3
B) 4
C) 6
D) 8
ANS - 4
Q.14 ) From the top and bottom of a straight hill the angle of depression and elevation of the top of a pillar of 10 m. height are observed to be 60° and 30° respectively. The height (in metres) of the hill is
