Quant Questions For IPPB Exam 2017

Q1. Two trains are running at 40 km/h and 20 km/h respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the faster train? 
(a) 23m
(b) 23 2/9m
(c) 27m
(d) 27 7/9m
(e) 30 m

Q2. An artillery gun is fired twice at an interval of 25 seconds. A motorist moving towards the gun hears the gunfire at an interval 24 seconds. If the speed of sound is 336m/s what is the speed of the car? 
(a) 21 m/s
(b) 13.44 m/s
(c) 16 m/s
(d) 14 m/s
(e)15m/s

Q3. A, B, C are running clock wise around a circular track and their time periods to run a circle are 1min, 3min and 5min respectively. Find the time interval after which they meet for the first time at the starting point. 
(a) 9 min
(b) 20 min
(c) 10 min
(d) 12 min
(e) 15 min

Q4. A and B run towards each other starting from P and Q respectively with respective speeds 3 kmph and 7 kmph. After meeting, each other to reach P, if B takes x hours. A takes 100/x hours to reach Q, find the distance between P and Q.
(a) 50 km
(b) 120 km
(c) 130 km
(d) 100 km
(e) none of above

Q5.If a man cycles at 10 km/hr, then he arrive at a certain place at 1 pm. If he cycles at 15 km/hr, he will arrive at the same place at 11 am. At what speed, must he cycle to get there at noon? 
(a) 11 km/hr
(b) 12 km/hr
(c) 13 km/hr
(d) 14 km/hr
(e) 18km/hr

Q6.Four examiners can examine a certain number of answer papers in 10 days by working for five hours a day. For how many hours in a day would two examiners have to work in order to examine twice the number of answer papers in 20 days?
(a) 8 hours
(b) 71/2 hours
(c) 10 hours
(d) 81/2 hours
(e) 9 hours

Q7.B and C together can complete a work in 8 days, A and B together can complete the same work in 12 days, and A and C together can complete the same work in 16 days. In, how many days can A, B and C together complete the same work?
(a) 39/13
(b) 96/13
(c) 75/12
(d) 35/12
(e) 48/13

Q8.Two men can do a piece of work in x days. But y women can do it in 3 days. Then the ratio of the work done by 1 man and 1 woman is:
(a) 3y : 2x
(b) 2x : 3y
(c) x : y
(d) 2y : 3x
(e) 4x :3y

Q9.A, B and C are employed to do a piece of work for Rs. 575. A and C are supposed to finish 19/23 of the work together. Amount shall be paid to B is:
(a) Rs. 210
(b) Rs. 200
(c) Rs. 220
(d) Rs. 475
(e) Rs.100

Q10.A does half as much work as B in 3/4 of the time. If together they take 18 days to complete a work. How much time shall B take to do it alone?
(a) 30 days
(b) 35 days
(c) 40 days
(d)45 days
(e) 40 days

Q11. The product of two relatively prime numbers is 143. Find their HCF.
(a) 3
(b) 9
(c) 13
(d) 1
(e)7

Q12. Find the remainder (43)^197 is divided by 7 
(a) 42
(b) 41
(c) 1
(d) 6
(e)none of above

Q13. If n is an integer then (n^3-n) is always divisible by: 
(a) 4
(b) 5
(c) 6
(d) 7
(e) none of these

Q14.The least number which when divided by 4, 6, 8, 12 and 15 leaves a remainder of 2 in each case is:
(a)146
(b)122
(c)120
(d)118
(e)none of these

Q15. Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?
(a) 27
(b) 36
(c) 43
(d) 480
(e)520