**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