**21) The HCF and LCM of two numbers are 13 and 1989, respectively. If one of the numbers is 117, then determine the Other **

(a) 121

(b) 131

(c) 221

(d) 231

ans: c

**22) The ratio of two numbers is 3 : 4 and their HCF is 4. What will be their LCM?**

(a) 12

(b) 16

(c); 24

(d) 48

(e) None of the above

ans: d

**23) If the HCF of a and 6 are 12 and a, 6 are positive integers and o > b > 12, then what will be the values of a and 6?**

(a) 12,24

(b) 24,12

(c) 24,36

(d) 36,24

Ans: d

**24) What is the least number which is exactly divisible by 8, 9, 12, 15 and 18 and is also a perfect square?**

(a) 3600

(b) 7200

(C) 5200

(d) 6500

(e) None of the above

Ans: a

**25) In a store, there are 345 L mustard oil, 120 L sunflower oil and 225 L soyabean oil. What will be the**

**capacity of the largest container to measure the above three types of oil?**

(a)8 L

(b) 20 L

(c) 23 L

(d) 15 L

(e) None of the above

Ans: d

**26) What is the greatest number that divides 13850 and 17030 leaves a remainder 17?**

(a) 477

(b) 159

(c) 107

(d) 87

Ans: b

**27) What is the greatest four digit number which when divided by 10, 15, 21 and 28 leaves remainders 4,9, 15 and 22, respectively? **

(a)9654

(b) 9666

(c) 9664

(d) 9864

(e) None of the above

Ans: a

**28) Find the least number which when divided by 16, 18 and 20 leaves a remainder 4 in each case, but is completely divisible by 7.**

(a) 2884

(b) 2256

(c) 865

(d) 3332

(e) None of the above

ans: a

**29) What is the HCF of 8 (x5 – x3 + x) and 28(*6+l)? **

{a) 4 (x4 – x2 + 1)

(b) x3 – x + 4×2

(c) x3 – x + 3×2

(d) None of these

Ans: a

**30) The HCF of (x3 – y2 – 2x) and (x3 + x2) is **

(a) x3 – x2 – 2x

(b) x2 + x

(c) x4-x3-2×2

(d) x-2

Ans: c