1. If A, B, C and D are four consecutive even numbers and their average is 181, what is the product of B and C?
1) 32760
2) 33860
3) 34756
4) 43852
5) None of these
2. Seven boys and seven girls are to be seated around a circular table in such a way that no two girls are together. In how many different ways can they be arranged?
1) 3682880
2) 3688200
3) 3628800
4) 3682200
5) None of these
3. In how many different ways can we select a queen or a spade from a full pack of cards?
1) 13
2) 14
3) 16
4) 12
5) None of these
4. 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) 111/2
2) 12 days
3) 14 days
4) 131/2
5) None of these
5. 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
6. 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
7. 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) 1314/33
2) 1817/35
3) 3649/61
4) 4737/53
5) None of these
8. 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
9. 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
10. Premshankar took a loan of ₹ 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) ₹ 4615.80 gain
2) ₹ 4615.80 loss
3) ₹ 3615 gain
4) ₹ 4214 loss
5) None of these
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