**1. The LCM of two numbers is 864 and their HCF is 144. One of the numbers is 288, the other is:**

(a) 576 **(b) 432**

(c) 1296 (d) 144

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

(a) 5 (b) 25

**(c) 45** (d) 55

**3. The LCM of two numbers is 30 and their HCF is 5. One of the numbers is 10, the other is:**

(a) 20 (b) 25

**(c) 15** (d) 54

**Q4. 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

**Q5. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is:**

(a) 46 (b) 48

**(c) 50** (d) 566

**Q6. The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case is:**

(a) 450 (b) 454

(c) 540 **(d) 544**

**Q7. 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

**Q8. Four bells ring at intervals of 4, 6, 8 and 14 seconds. They start ringing simultaneously at 12 O’ clock. They will again ring simultaneously at:**

**(a) 12 hrs 2 min 48 sec** (b) 12 hrs 3 min 30 sec

(c) 12 hrs 3 min 20 sec (d) 12 hrs 3 min 44 sec

**Q9. 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**

**Q10. 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

**Q11. Two numbers, both greater than 29, have HCF and LCM, 4147. The sum of the numbers is:**

(a) 966 **(b) 696**

(c) 669 (d) 666

**Q12. The HCF of two numbers is 8. Which one of the following can never be their LCM?**

(a) 24 (b) 48

(c) 56 **(d) 60**

**Q13. 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

**Q14. The LCM of two numbers is 1820 and their HCF is 26. If one number is 130, the other is:**

(a) 70 (b) 1690

**(c) 364** (d) 1264

**Q15. The LCM of two numbers is 1920 and their HCF is 16. If one of the numbers is 128, the other is:**

(a) 204 **(b) 240**

(c) 260 (d) 320

**Q16. The HCF of two numbers 12906 and 14818 is 478. Their LCM is:**

**(a) 400086 ** (b) 200043

(c) 600129 (d) 800172

**Q17. Find the greatest number of five digits which when divided by 3, 5, 8, 12 leaves 2 as remainder**

(a) 99990 (b) 99948

(c) 99962 (d) 99722

**Q18. The least multiple of 13, which on dividing by 4,5,6,7 and 8 leaves remainder 2 in each case is:**

(a) 2520 (b) 842

**(c) 2522** (d) 840

**Q19. Find the largest number of four digits such that on dividing by 15, 18, 21 and 24, the remainders are 11, 14, 17 and 20 respectively.**

(a) 6557** (b) 7556**

(c) 5675 (d) 7664

**Q20. 4 bells ring at intervals of 30 minutes, 1 hour, 3/2 hour and 1 hour 45 minutes respectively. All the bells ring simultaneously at 12 noon. They will again ring at:**

(a) 12 mid night (b) 3 a.m.

(c) б a.m. **(d) 9 p.m.**