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

Subject: HCF and LCM 3

**Part 3: List for questions and answers of HCF & LCM**

**Q1. Find the HCF of 54, 288, 360**

a) 18

b) 36

c) 54

d) 108

**Q2. 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

**Q3. The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is**

a) 15 cm

b) 25 cm

c) 35 cm

d) 42 cm

**Q4. H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is**

a) 180

b) 360

c) 540

d) 1260

**Q5. Find the Greatest Number that will devide 43, 91 and 183 so as to leave the same remainder in each case**

a) 4

b) 7

c) 9

d) 13

**Q6. 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

**Q7. 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

**Q8. Which of the following has most number of divisors?**

a) 99

b) 101

c) 176

d) 182

**Q9. The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 litres each, is of capacity ?**

a) 7 lts

b) 14 lts

c) 98 lts

d) 42 lts

**Q10. Find the greatest number that will divide 964, 1238 and 1400 leaving remainder of 41,31 and 51 respectively ?**

a) 64

b) 69

c) 71

d) 58

**Q11. Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is:**

a) 40

b) 60

c) 100

d) 120

**Q12. If HCF of two numbers is 8,which of the following can never be their LCM?**

a) 32

b) 48

c) 60

d) 152

**Q13. The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?**

a) 63 and 49

b) 64 and 48

c) 62 and 46

d) 64 and 49

**Q14. If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ?**

a) 6

b) 8

c) 4

d) 9

**Q15. A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ?**

a) 487

b) 585

c) 635

d) 705

**Q16. H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is :**

a) 360

b) 180

c) 90

d) 120

**Q17. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is ?**

a) 63

b) 31

c) 16

d) 27

**Q18. Find the largest number of 4-digits divisible by 12, 15 and 18.**

a) 9900

b) 9750

c) 9450

d) 9000

**Q19. Find H.C.F. of 0.63 and 1.05**

a) 0.21

b) 0.28

c) 0.56

d) 0.84

**Q20. Find L.C.M. of 1.05 and 2.1**

a) 1.3

b) 1.25

c) 2.1

d) 4.30

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

Q1. Answer: a

Q2. Answer: d

Q3. Answer: c

Q4. Answer: a

Q5. Answer: a

Q6. Answer: d

Q7. Answer: b

Q8. Answer: c

Q9. Answer: b

Q10. Answer: c

Q11. Answer: b

Q12. Answer: c

Q13. Answer: a

Q14. Answer: c

Q15. Answer: b

Q16. Answer: b

Q17. Answer: b

Q18. Answer: a

Q19. Answer: a

Q20. Answer: c