Saturday 2 March 2013

Quans - 5


1. Find the least number that must be subtracted from or added to a given number 5029 to make it exactly divisible by 17.
(a) 14, 3 (b) 3, 14 (c) 17, 14 (d) 14, 17

2. The HCF and LCM of two numbers are 12 and 144 respectively. If one of the number is 36, the other number is:
(a) 4 (b) 48 (c) 72 (d) 432

3. Find the number of zeroes at the end of 100! + 200!
(a) 73 (b) 24 (c) 11 (d) 22

4. Which of the following can never be in the ending of a perfect square?
(a) 6 (b) 00 (c) 000 (d) 1

5. Find the unit digit in 789 x 843
(a) 6 (b) 4 (c) 7 (d) 8

6. If a : b = 5 : 9 and b : C = 4 : 7. Find a : b : c

7. Find the third proportion to 16, 36

8. If a/3 = b/4 = c/7 then ( a + b + c )/ c =

9. A sum of Rs 1162 is to be divided among A, B, C such that 4 times of A’s share is equal to 5 times of B’s share and 7 times of C’s share. What is the share of C?

10. In a mixture of 35 liters, the ratio of milk and water is 4 : 1. If another 7 liters of water is added to the mixture, then the ratio of milk and water in the resulting mixture is how much?

11. In what ratio must rice at Rs 9.30 per kg be mixed with rice at Rs 10.80 per kg so that the mixture is worth Rs 10.00 per kg?

12. In what ratio must a grocer mix two varieties of pulses costing Rs 15 and Rs 20 per kg respectively so as to get a mixture worth Rs 16.50 per kg?

13. 5 kg of rice costing Rs 6 per kg is mixed with 4 kg of costlier variety of rice to get a mixture costing Rs 7 per kg. Find the price of the costlier rice.

14. The cost of type 1 rice is Rs 15 per kg and type 2 rice is Rs 20 per kg. If these two types are mixed in the ratio 2 : 3 then the price of the mixed variety of rice is how much?

15. A merchant has 1000 kg of sugar, part of which he sells at a profit of 8% and the remaining at a profit of 18%. On the whole he gains 14%. Find the quantity of sugar sold at 18% profit.

Answers
1. (b)    2. (a)     3. (b)     4. (c)      5. (b)      6) 20:30:63      7) 81      8) 2

9) Rs 280.00     10) 2 : 1       11) 8 : 7        12) 7 : 3       13) Rs 8.25    14) Rs 18.00

15) 600 Kgs

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