**aptitude questions and answers** section on “**Problems on** **H.C.F and L.C.M”** with explanation for various interview, competitive examination. Questions and Solved Examples on LCM and HCF Problems · A man was employed on the promise that he will be paid the highest wages per day.

**LCM and HCF**: Solved 50 LCM and HCF Questions and answers section to explain various online exam preparation and various interviews. Learn and practice Problems on HCF and LCM with solved Aptitude Questions and Answers accompanied by easy explanation, H.C.F and L.C.M Aptitude Test Paper for beginners and professionals with tests on boats and streams, numbers, percentage, calendar, problems. we have given information about the questions related to the least common multiple (LCM) and the maximum common factor (HCF). Learn Properties of HCF and LCM and the relation between LCM and HCF of natural numbers with examples. Looking for HCF-LCM questions for experienced and fresher?

## LCM and HCF Questions for Competitive Exams 2021

### Q1.L.C.M. of 25, 30, 35 and 40? What is the Answer?

1. 3800

2. 4200

3. 4400

4. 3200

5. None of these

Option 2 – 4200

### Q2.What is the H.C.F. of 4/9, 10/21 and 20/63 what is the Answer?

A.4/1892

B.6/633

C.2/634

D.20/215

E.None of these

Option B – 6/633

### Q3.The H.C.F. of two numbers is 12 and their difference is 12. Which of the accompanying can be the numbers?

A.66, 772

B.70, 843

C.94, 1084

D.84, 965

E.66, 106

Option D – 84,965

### Q4.What is the greatest number what partitions 639, 1065 and 1491 precisely?

A.193

B. 183

C. 223

D.233

E.213

Option E – 213

### Q5.The HCF of two numbers is 29 & their sum is 174. The potential numbers are

A.1,174

B. 74,100

C. 29, 154

D.29, 145

E. None of these

Option D – 29,145

### Q6.The product of two numbers is 6760 and their H.C.F. is 13. What number of such combines can be framed?

A.0

B.2

C.3

D.5

E.1

Option B – 2

### Q7.what is the side of the largest square slab which can be paved on the floor of a room 5 meters 44cm long and 3 meters 74 cm broad.

A.55

B.34

C.43

D.53

E63

Option B – 34

### Q8.what is the least perfect square number which is divisible by 3, 4, 5, 6 and 8 is

A.3600

B.6300

C.4300

D.5300

E.1600

Option A – 3600

### Q9.What is the least perfect cube which is divisible by 2, 3, 4 and 6 is

A.216

B.162

C.62

D.262

E.226

Option A – 216

### Q10.3 different pieces of iron are of varying length are given to a student which are 44cm, 22 cm,55 cm respectively.He has to form rods of maximum length such that no iron waste is left.Track down the greatest length of such pole.

A.11cm

B.13cm

C.22cm

D.21cm

E.112cm

Option A – 11cm

### Q11.If the LCM of two numbers is 750 and their product is 18750, what is the HCF of the numbers.

A. 25

B. 30

C. 50

D. 125

Option A – 25

### Q12.The HCF of two numbers is 8. Which of the accompanying can never be their LCM?

A. 24

B. 48

C. 56

D. 60

Option D – 60

### Q13.LCM of 1/3, 5/6, 5/4, 10/7 next number is :

A. 10/11

B. 11/10

C. 10/7

D. 10

Option D – 10

### Q14.HCF of 3/16, 5/12, 7/8 What is the next number is:

A. 1/48

B. 2/47

C. 3/47

D. 5/48

Option A – 1/48

### Q15.The least number which when separated by 8, 12 and 16, leave in each remaining portion 3, is?

A. 61

B. 51

C. 69

D. 71

Option B – 51

### Q16.The least square number what partitions 8, 12 and 18 is?

A. 64

B. 144

C. 124

D. 196

Option B – 144

### Q17.The least number which when lessened by 7 is distinct by 21, 28, 36 and 45 is?

A. 1261

B. 1265

C. 1267

D. 1269

Option C – 1267

### Q18.A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how long did he really function?

A. 35

B. 37

C. 39

D. 40

Option B – 37

### Q19.A merchant has three different types of milk: 435 liters, 493 liters and 551 liters. Find the least number of casks of equal size required to store all the milk without mixing.

A. 45

B. 47

C. 51

D. 61

Option C – 51

### Q20.An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how long would he say he was missing?

A. 2

B. 3

C. 4

D. 5

Option B – 3

### Q21.If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

A. 55/601

B.601/55

C. 11/120

D.120/11

Option C – 11/120

### Q21.Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. What si the H.C.F?

A .40

B.80

C.120

D.200

Option A – 20

### Q22.The product of two numbers is 2028 and their H.C.F. is 13. What is the Next Number?

A.1

B.2

C.3

D.4

Option B – 2

### Q23.A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

A. 14 cms

B.21 cms

C.42 cms

D.None of these

Option B – 21

### Q24.The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 100, then their difference is

A. 10

B.46

C.70

D. 90

Option A – 10

### Q25.The L.C.M of 22, 54, 108, 135 and 198 is

A. 330

B.1980

C.5940

D. 11880

Option C – 5940