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Quantitative Reasoning Arithmetic HCF And LCM MCQs Quiz For Entry Test
1. Find the least number of five digits which when divided by 12, 16, 21, 36 and 40 leaves in each case a remainder ?
10088 (Answer)
10080
10072
None of these
2. The largest natural number which exactly divides the product of any four consecutive natural number, is ?
6
24 (Answer)
120
12
3. Find the greatest number which will divide 25, 73 and 97 so as to leave the same remainder in each case ?
18
12
24 (Answer)
32
4. Find the greatest number of five digits which when divided by 8, 9 and 10 leaves 3 as remainder in each case ?
99996
99983
99723 (Answer)
None of these
5. What is the greatest number which divides 852, 1065 and 1491 exactly ?
213 (Answer)
183
223
193
6. Five bells begin toll together and toll at intervals of 36, 45, 72, 81 and seconds, After what interval of time will they keep on tolling together ?
3240 Seconds (Answer)
3140 Seconds
3200 Seconds
3080 Seconds
7. What is the H.C.F. of 4/9 , 10/21 and 20/63 ?
6/63
None of these
2/63 (Answer)
4/189
8. Find the greatest number of four digits which must be added to 5231 so that the final number become exactly divisible by 12, 15, 27, 32 and 40 ?
7929
9729
7729 (Answer)
7829
9. What is the H.C.F. of 27, 18 and 36 ?
7
11
None of these
9 (Answer)
10. Find the least number which when decreased by 11 is divisible by 14, 15, 21, 32 and 60 ?
3271
3371 (Answer)
4371
3360
11. How often will five bells toll together in one hour if they start together and toll at interyals of 5, 6, 8, 12, 20 seconds, respectively ?
31 (Answer)
120
29
30
12. Find the greatest number of five digits which when divided by 12, 15, 21, 25 and 28 leaves 5, 8, 14, 18 and 21 as remainder, respectively ?
98693 (Answer)
98700
97693
98696
13. The H.C.F. of two number is 11 and their L.C.M. is 696. If one of the number is 77, find the other ?
66
119
99 (Answer)
909
14. What is the L.C.M. of 25, 30, 35 and 40 ?
4200 (Answer)
3800
None of these
4400
15. Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15, and 22 as remainders respectively ?
9654 (Answer)
9864
9664
9666
16. What is the smallest number which when increased by 3 is divisible by 16, 24, 30 and 32 ?
472
475
477 (Answer)
480
17. The H.C.F. of two number is 12 and their difference is 12 The number are ?
94, 106
66, 78
84, 96 (Answer)
70, 82
18. The least perfect square number which is divisible by 3, 4, 5, 6 and 8 ?
900
1200
3600 (Answer)
2500
19. Find the L.C.M. of 24 , 28, 30 and 35 ?
9260
9225
850
840 (Answer)
20. Find the side of the largest square slabs which can be paved on the floor of a room 5 metres 44 cm long and 3 metres 74 cm broad ?
42
56
38
34 (Answer)
21. Find the least number of six digits which is exactly divisible by 15, 21 and 28 ?
100380 (Answer)
100340
100270
100480
22. Find the greatest number that will divide 964, 1238 and 1400 leaving remainders 41, 31 and 51, respectively ?
71 (Answer)
61
73
81
23. The L.C.M. and G.G.D. of two number are 1530 and 51, respectively.Find how many such pairs are possible ?
Only One
2
3
4 (Answer)
24. Determine the L.C.M. of 2/5, 3/10 and 6/25 ?
6/5 (Answer)
None of these
9/5
11/5
25. Find the greatest number which will divide 2112 and 2792 leaving the remainder 4 in each case ?
68 (Answer)
78
63
65
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