**Q1. 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

**Q2. LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:**

(a) 5

(b) 25

(c) 45

(d) 225

**Q3. 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

**Q4. 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

**Q5. The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case is:**

(a) 456

(b) 454

(c) 540

(d) 544

**Q6. 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

**Q7. 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

**Q8. The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers?**

(a) 8 and 6

(b) 8 and 10

(c) 2 and 4

(d) 6 and 4

**Q9. 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

**Q10. Two numbers, both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is:**

(a) 966

(b) 696

(c) 669

(d) 666

**Q11. The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M?**

(a) 24

(b) 48

(c) 56

(d) 60

**Q12. The LCM and the HCF of the numbers 28 and 42 are in the ratio:**

(a) 6 : 1

(b) 2 : 3

(c) 3 : 2

(d) 7 : 2

**Q13. The LCM of two numbers is 1820 and their HCF is 26. If one number is 130 then the other number is:**

(a) 70

(b) 1690

(c) 364

(d) 1264

**Q14. The LCM of two numbers is 1920 and their HCF is 16. If one of the numbers is 128, find the other number:**

(a) 204

(b) 240

(c) 260

(d) 320

**Q15. Find the greatest number of five digits which when divided by 3, 5, 8, 12 leaves 2 as remainder**

(a) 99999

(b) 99948

(c) 99962

(d) 99722

Solutions

1.C

2.C

3.B

4.C

5.D

6.A

7.A

8.D

9.A

10.B

11.D

12.A

13.C

14.B

15.C