1. Find the greatest number of five digits which when divided by 3, 5, 8, 12 have 2 as remainder ?

99999

99958

99960

99962

Answer: 99962

Explanation:


2. What is the greatest number that will divide 307 and 330 leaving remainders 3 and 7 respectively ?

19

16

17

23

Answer: 19

Explanation:


3. Three numbers are in the ratio 2 : 3 : 4 and their H.C.F. is 12. The L.C.M. of the numbers is ?

144

192

96

72

Answer: 144

Explanation:


4. The H.C.F. of two numbers, each having three digits , is 17 and their L.C.M. is 714. The sum of the numbers will be ?

289

391

221

731

Answer: 221

Explanation:


5. Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits of x is ?

21

22

18

24

Answer: 18

Explanation:


6. The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively ?

12, 24

24, 12

24, 36

36, 24

Answer: 36, 24

Explanation:


7. The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is ?

450

454

540

544

Answer: 544

Explanation:


8. The HCF and LCM of two numbers are 13 and 455 respectively. If one of the number lies between 75 and 125, then, that number is ?

78

91

104

117

Answer: 91

Explanation:


9. The H.C.F. and L.C.M. of two 2-digit numbers are 16 and 480 respectively. The numbers are ?

40, 48

60, 72

64, 80

80, 96

Answer: 80, 96

Explanation:


10. If the ratio of two numbers is 2 : 3 and their L.C.M. is 54, then the sum of the two numbers is ?

5

15

45

270

Answer: 45

Explanation: