Aptitude Preparation: Mock Test, IT Campus Placement, Aptitude Questions and Answers

Subject: HCF and LCM 1

**Part 1: List for questions and answers of HCF & LCM**

**Q1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.**

a) 4

b) 7

c) 9

d) 13

**Q2. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:**

a) 276

b) 299

c) 322

d) 322

**Q3. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?**

a) 4

b) 10

c) 15

d) 16

**Q4. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:**

a) 4

b) 5

c) 6

d) 8

**Q5. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:**

a) 9000

b) 9400

c) 9600

d) 9800

**Q6. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is**

a) 101

b) 107

c) 111

d) 185

**Q7. Three number are in the ratio of 3:4:5 and their L.C.M. is 2400. Their H.C.F. is:**

a) 40

b) 80

c) 120

d) 200

**Q8. The G.C.D. of 1.08, 0.36 and 0.9 is:**

a) 0.03

b) 0.9

c) 0.18

d) 0.108

**Q9. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:**

a) 1

b) 2

c) 3

d) 4

**Q10. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:**

a) 74

b) 94

c) 184

d) 364

**Q11. Find the lowest common multiple of 24, 36 and 40.**

a) 120

b) 240

c) 360

d) 360

**Q12. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:**

a) 3

b) 13

c) 23

d) 33

**Q13. The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:**

a) 1677

b) 1683

c) 2523

d) 3363

**Q14. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is**

a) 279

b) 283

c) 308

d) 18

**Q15. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?**

a) 196

b) 630

c) 1260

d) 2520

**Q16. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:**

a) 12

b) 16

c) 24

d) 48

**Q17. The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:**

a) 1008

b) 1015

c) 1022

d) 1032

**Q18. 252 can be expressed as a product of primes as:**

a) 2x2x3x3x7

b) 2x2x2x3x7

c) 2x2x2x3x7

d) 2x3x3x3x7

**Q19. The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:**

a) 15 cm

b) 25 cm

c) 35 cm

d) 42 cm

**Q20. Find the highest common factor of 36 and 84.**

a) 4

b) 6

c) 12

d) 18

**Part 1: List for questions and answers of HCF & LCM**

Q1. Answer: a

Q2. Answer: c

Q3. Answer: d

Q4. Answer: a

Q5. Answer: c

Q6. Answer: c

Q7. Answer: a

Q8. Answer: c

Q9. Answer: b

Q10. Answer: d

Q11. Answer: c

Q12. Answer: c

Q13. Answer: b

Q14. Answer: c

Q15. Answer: b

Q16. Answer: d

Q17. Answer: b

Q18. Answer: a

Q19. Answer: c

Q20. Answer: c