**LCM and HCF SSC CGL math Project 400 Questions**

LCM and HCF SSC CGL math Project **400 Questions**

Project 400 Questions.

We will post 400 MCQ on Maths for SSC-CGL. These 400 questions are unique. There are variety questions. I will call these questions as “Project 400 Questions”. These questions are developed on the basis of research. If any SSC CGL aspirant become proficient in these 400 questions I am sure he will score always 40+ score in maths in tier 1 and 180+ in tier 2. Keep in mind along with these representative questions a lot of practice is required.

About LCM and HCF

I am posting 20-21 varieties questions on ” LCM and HCF” . This is considered as dark horse chapter. Generally 1-2 questions can be asked in Tier 1 and 3-5 in Tier 2. This chapter will have direct link with other chapters like work and time, profit and loss, percentage, Pipes and Cistern and Work and Wages.

LCM AND HCF

**Q1.** The HCF of two numbers is 8. Which of the following can never be their LCM?

a) 24

b) 48

c) 56

d) 60

**Q2.** The LCM of two numbers is 1820 and their HCF is 26. If one number is 130 then the other number is:

a) 70

b) 1690

c) 364

d) 1264

**Q3.** The HCF and LCM of two numbers are 11 and 385 respectively. The numbers are

a) 11 and 385 & 55 and 77

b) 55 and 77

c) 11 and 385

d) 22 and 770

**Q4.** If the ratio of two numbers is 2:3 and their LCM is 54, then the sum of the two numbers is

a) 5

b) 15

c) 45

d) 270

**Q5.** The sum of two numbers is 36 and their HCF is 4. How many pairs of such numbers are possible?

a) 1

b) 2

c) 3

d) 4

**Q6.** The HCF of two numbers, each having three digits is 17 and their LCM is 714. The sum of the numbers will be:

a) 289

b) 391

c) 221

d) 731

**Q7.** The HCF and product of two numbers are 15 and 6300 respectively. The number of positive pairs of the numbers is

a) 4

b) 3

c) 2

d) 1

**Q8.**Sum of two numbers is 384. HCF of the numbers is 48. The difference of the numbers is

a) 100

b) 192

c) 288

d) 336

**Q9.** The sum of two numbers is 36 and their HCF and LCM are 3 and 105 respectively. The sum of the reciprocals of two numbers is

a) 2/35

b) 3/25

c) 4/35

d) 2/25

**Q10**.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

**Q11.** Find the least multiple of 23, which when divided by 18,21 and 24 leaves the remainder 7, 10 and 13 respectively.

a) 3013

b) 3024

c) 3002

d) 3036

**Q12.** The greatest number, which when divided by 989 and 1327 leaves remainders 5 and 7 respectively is

a) 8

b) 16

c) 24

d) 32

**Q13.** Three numbers which are co prime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

a) 75

b) 81

c) 85

d) 89

**Q14.** Which is the least number of six digits which when divided by 4, 6,10,15 leaves in each case same remainder 2 be N. The sum of digits in N is

a) 3

b) 5

c) 4

d) 6

**Q15.** A number which when divided by 10 leaves a remainder of 9, when divided by by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7 is

a) 1539

b) 539

c) 359

d) 1359

**Q16.** What is the least number which when divided by the numbers 3,5,6,8,10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder?

a) 312

b) 962

c) 1562

d) 1586

**Q17.** The greatest number of four digits which when divided by 12,16 and 24 leave remainders 2,6 and 14 respectively is

a) 9974

b) 9970

c) 9807

d) 9998

**Q18. **What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

a) 840

b) 841

c) 820

d) 814

**Q19.** From a point on a circular track 5 km long A, B and C started running in the same direction at the same time with speeds of 5/2 km per hour, 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after

a) 30 hours

b) 6 hours

c) 10 hours

d) 15 hours

**Q20.** A farmer has 945 cows and 2475 sheep. He farms then into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively

a) 15 and 228

b) 9 and 380

c) 45 and 76

d) 46 and 75

**Q21.** The LCM of two numbers is 20 times their HCF. The sum of HCF and LCM is 2520. If one of the number is 480, the other number is

a) 400

b) 480

c) 520

d) 600

**LCM and HCF SSC CGL math Project 400 Questions: Answer Key**

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please provide solutions. and in question 9 i got the answer 12/35, Please provide explenation of answer 4/35

please provide solutions. and in question 9 i got the answer 12/35, Please provide explenation of answer 4/35. please provide ASAP

hey deepika here is the solution… let the numbers are A and B

we have A+B=36 and A*B=105*3=314

now you can find A-B=6

on solving above eqn we get A=21 and B=15

sum of reciprocals=1/15+1/21= 4/35

1/A +1/B=A+B/AB

A+B=36

AB=3*105

36/105=4/35

Q17 ,please provide the shortcut

pls sir explain q.7 OF HCF LCM

q18 ans is d

please provide solution for question no. 6

please solve question no. 8

where can i get the solutions to these questions?

Q no 11, 12 pleade solve

48a*48b

a*b=8

then pair of 8 is (4.2), (8.1) Then multiply with 48 on pair (4,2)

then 48* 4=192…and 48*2=96

and then sum it 192+96=288

q no =12

hcf on =( 989-5=984),.,.,(1327-7=1320)

Then hcf of 984,1320is 24,.