# Math Questions For SSC CGL 2017

Dear Readers, Here We are providing a quant Quiz of 15 question in accordance with the syllabus of SSC CGL. These Questions cover the  topic of Arithmetic

Q1. Two vessels A and B contains acid and water in the ratio 4 : 3 and 5 : 3 respectively. Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3 : 2 is
(a) 5 : 8
(b) 7 : 8
(c) 7 : 5
(d) 4 : 7

Q2.Two containers have acid and water mixed respectively in the ratio 3 : 1 and 5 : 3. To get a new mixture with ratio of acid to water as 2 : 1 the two types have to be mixed in the ratio
(a) 1 : 2
(b)2 : 1
(c)2 : 3
(d)3 : 1

Q3.Acid and water are mixed in a vessel A in the ratio of 5 : 2 and If the vessel B in the ratio 8 : 5. In what proportion should quantities be taken out from the two vessels so as to form a mixture in which the acid and water will be in the ratio of 9 : 4?
(a) 7 : 2
(b) 2 : 7
(c) 7 : 4
(d) 2 : 3

Q4.The ratio of spirit and water in two mixtures of 20 litre and 36 litres is 3 : 7 and 7 : 5 respectively. Both the mixtures are mixed together. Now the ratio of the spirit and water in the new mixture is
(a) 25 : 29
(b) 9 : 10
(c) 27 : 29
(d) 27 : 31

Q5.If x/y=3/4, the ratio of (2x + 3y) and (3y – 2x) is:
(a) 2 : 1
(b) 3 : 2
(c) 3 : 1
(d) 1 : 1

Q6.If A : B = 1/2:1/3. B : C = 1/5 ∶1/3, then (A + B) : (B + C) is equal to
(a) 5 : 8
(b) 15 : 16
(c) 9 : 10
(d) 6 : 15

Q7.A and B can complete a piece of work in 15 days and 10 days respectively. They started doing the work together but after 2 days, B had to leave and A alone completed the remaining work. The whole work was completed in:
(a) 10 days
(b) 8 days
(c) 12 days
(d) 15 days

Q8.A and B can separately complete a piece of work in 20 days and 30 days respectively. They worked together for some time, then B left the work. If A completed the rest of the work in 10 days, then B worked for
(a) 6 days
(b) 8 days
(c) 12 days
(d) 16 days

Q9. A and B alone can complete a piece of work in 9 days and 18 days respectively. They worked together, however, 3 days before the completion of the work A left. In how many days was the work completed?
(a) 13 days
(b) 8 days
(c) 6 days
(d)5 days

Q10.A and B can do a piece of work in 12 days and 15 days respectively. They began to work together but A left after 4 days. In how many more day would B alone complete the remaining work?
(a) 20/3days
(b) 25/3days
(c) 6 days
(d) 5 days

Q11.The speed of a bus is 72 km/hr. The distance covered by the bus in 5 seconds is
(a) 100 m
(b) 60 m
(c) 50 m
(d) 74.5 m

Q12. A train covers a distance of 20 km in 24 minutes. If its speed is decreased by 5 km/hr. the time taken by it to cover the same distance will be:
(a) 10 minutes
(b) 26 minutes 40 sec
(c) 13 minutes
(d)11 minutes 20 sec

Q13.Two trains, A and B, start from stations X and Y towards each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively after they meet if train A is moving at 45 km/hr, then the speed of the train B is
(a) 60 km/hr
(b) 64.8 km/hr
(c) 54 km/hr
(d)37.5 km/hr

Q14.A bullock cart has to cover a distance of 120 km. in 15 hours. If it covers half of the journey in 3/5 the time, the speed to cover the remaining distance in the time left has to be
(a) 6.4 km/hr
(b) 6.67 km/hr
(c) 10 km/hr
(d) 15 km/hr

Q15.A train covers a certain distance in 210 minutes at a speed of 60 kmph. The time taken by the train, to cover the same distance at a speed of 80 kmph is:
(a) 3 5/8hours
(b) 2 5/8hours
(c) 4 5/8hours
(d) 3 hours
SOLUTIONS
S11. Ans.(a)
Sol.Required distance =72×5/18×5
= 100 m

S12. Ans.(b)
Sol. Speed of the train =20/24 = 50 km/hr
New speed = 50 – 5 = 45 km/hr
Required time =20/45=4/9hr
= 26 min 40 sec

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