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Quants Quiz for IBPS PO/RRB

1. Uday can complete a piece of work in 16 days while Ramesh can complete it in 24 days. They worked together for 5 days. Then Uday left the work. In how many days will Ramesh finish the remaining work?
1) 11 1/2
2) 12 days
3) 14 days
4) 13 1/2
5) None of these
2. A goldsmith mixes two types of alloys. He takes 12 kg of the first alloy containing gold and silver in the ratio of 3 : 2 and 36 kg of the second alloy containing gold and silver in the ratio of 2 : 3. What is the ratio of gold to silver in the final alloy?
1) 11 : 9
2) 9 : 11
3) 3 : 7
4) 7 : 3
5) None of these
3. Fresh grapes contain 85% water by weight while dry grapes contain 25% water. What is the weight of dry grapes in 25 kg fresh grapes?
1) 3 kg
2) 3.75 kg
3) 4 kg
4) 5 kg
5) None of these
4. An unscrupulous shopkeeper marks up the cost price of an article by 30% and then offers a discount of 20% to please his customers. Apart from this, he also uses false weight, which is 15% less than the original weight. What is his profit percentage?
1) 13 14/33 %
2) 18 17/35 %
3) 36 49/61
4) 47 37/53 %
5) None of these
5. Two trains start simultaneously from Lucknow and Jaipur towards each other with speeds of 70 km/hr and 90 km/hr respectively. When they met each other it was observed that one of them had covered 350 km more than the other. Find the distance between Lucknow and Jaipur.
1) 2800 km
2) 3200 km
3) 1800 km
4) 2600 km
5) None of these
6. A spherical ball whose radius is 42 cm is completely immersed in a vessel filled with water. Find the volume of water displaced by the ball.
1) 392784 cm3
2) 321474 cm3
3) 310464 cm3
4) 784631 cm3
5) None of these
7.  Premshankar took a loan of  Rs. 75000 at a simple rate of interest 14% per annum for 3 years and invested the money thus obtained at the rate of 14% per annum for the same period, compounding annually. How much money did he gain or lose in the whole transaction?
1)  Rs. 4615.80 gain
2)  Rs. 4615.80 loss
3)  Rs. 3615 gain
4)  Rs. 4214 loss
5) None of these
8. The sum of the digits of a two-digit number is 6. If the digits are reversed, the number thus obtained, when increased by 6, equals 2 times the original number. Find the original number.
1) 32
2) 42
3) 35
4) 33
5) None of these
9. A contract for a construction job specifies a penalty for delay in completion of the work beyond a certain time as follows:  Rs. 250 for the first day,  Rs. 300 for the second day and  Rs. 350 for the third day, etc; ie, the penalty for each succeeding day being  Rs. 50 more than that of the preceding day. How much penalty has the contractor to pay if he delays the work for 20 days?
1)  Rs. 13500
2)  Rs. 14500
3)  Rs. 17500
4)  Rs. 31500
5) None of these
10. A vessel is completely filled with a solution of spirit and water. The capacity of the vessel is 84 litres. 12 litres of this solution is replaced with pure water. The concentration of spirit in the new solution is 40%. What was the concentration of spirit in the original solution?
1) 46.67%
2) 48.75%
3) 44.56%
4) 37%
5) None of these
11. An empty tank is connected with pipes A, B and C. A and B are inlet pipes and they fill the tank in 6 hours and 8 hours respectively, while C is an outlet pipe and it empties the completely filled tank in 5 hours. Find the time in which the tank will be completely filled if all the pipes are opened together.
1)  8 9/13 hours
2) 10 10/11 hours
3) 12 11/13 hours
4) 7 3/5   hours
5) None of these

Answers:

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  4. 5
  5. 5
  6. 3
  7. 1
  8. 5
  9. 2
  10. 1
  11. 2
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