10 Important MCQ on HCF And LCM (Part-1) For SBI Clerical Canara Bank PO DMRC Railway Exam 2018

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1. The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is
(a) 576
(b) 1296
(c) 432
(d) 144

2. LCM of two numbers is 1820 and their HCF is 26. If one number is 130, the other number will be:
(a) 70
(b) 1690
(c) 364
(d) 1264

3. The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then, that number is:
(a) 78
(b) 91
(c) 104
(d) 117

4. The least number which when divided by 4, 6, 8, 12 or 16 leaves a remainder of 2 in each case is:
(a) 46
(b) 48
(c) 50
(d) 56

5. The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 7 in each case is:
(a) 459
(b) 457
(c) 543
(d) 547

6. The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is:
(a) 91
(b) 910
(c) 1001
(d) 1911

7. Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12.00 O’clock. At what time will they again ring simultaneously?
(a) 12 hrs. 2 min. 48 sec
(b) 12 hrs. 3 min.
(c) 12 hrs. 3 min. 20 sec
(d) 12 hrs. 3 min. 44 sec

8. The product of the LCM and HCF of two numbers is 96. The difference of the two numbers is 4. Find the numbers?
(a) 16 and12
(b) 20 and 16
(c) 6 and 8
(d) 12 and 8

9. The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is:
(a) 10
(b) 46
(c) 70
(d) 90

10. Find the largest number which divides 62,132,237 to leave the same reminder
(a)30
(b)32
(c)35
(d)45