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1. 504 can be expressed as a product of primes as
2 × 2 × 3 × 3 × 7 × 7 | 2 × 3 × 3 × 3 × 7 × 7 | 2 × 3 × 3 × 3 × 3 × 7 | 2 × 2 × 2 × 3 × 3 × 7 |
2. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
4 | 5 | 6 | 8 |
3. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:
28 | 32 | 40 | 64 |
4. What is the HCF of 1/3,2/3, and 1/4 ?
2/3 | 1/3 | 1/4 | 1/12 |
5. The H.C.F of two 9/10,12/25,18/35 and 21/40 is:
$ \dfrac{3}{5} $ | $ \dfrac{252}{5} $ | $ \dfrac{3}{1400} $ | $ \dfrac{63}{700} $ |
6. If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
$ \dfrac{55}{601} $ | $ \dfrac{601}{55} $ | $ \dfrac{11}{120} $ | $ \dfrac{120}{11} $ |
7. Which of the following has the most number of divisors?
99 | 101 | 176 | 182 |
8. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
1677 | 1683 | 2523 | 3363 |
9. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
3 | 13 | 23 | 33 |
10. What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5 ?
125 | 117 | 132 | 112 |
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