HCF and LCM Questions for SSC with Solution PDF

The HCF and LCM questions are important for candidates preparing for the Staff Selection Commission (SSC) exam in 2024. We have provided 10 important and commonly asked questions that are asked in previous exams, along with their solution in PDF format. Candidates need to practice these questions for better preparation. Candidates can improve their understanding of concepts and can know their level of preparation by going through the questions in the article along with their answers.

HCF and LCM Questions for SSC

Q1. Find that smallest number which when divided by 4, 6, 8, 12, and 16 leaves 2 as the remainder in each case.

(a) 46

(b) 50

(c) 48

(d) 56

Q2. Four bells commence tolling together and toll at intervals of 4 sec, 6 sec, 8 sec, and 14 sec. If they toll together at noon then at what time will they toll together again?

(a) At 12 : 02 : 48

(b) At 12 : 03

(c) At 12 : 03 : 20

(d) At 12 : 03 : 44

Q3. The L.C.M. of two numbers is 12 times their H.C.F. The sum of the L.C.M. and H.C.F. is 403. If one of the numbers is 93 then the other number is

(a) 124

(b) 128

(c) 134

(d) 138

Q4. The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?

(a) 8

(b) 12

(c) 24

(d) 35

Q5. The product of two co-prime numbers is 285, then find their LCM.

(a) 15

(b) 19

(c) 285

(d) 570

Q6. The LCM of two numbers is 168 and their HCF is 12. If the difference between the numbers is 60, what is the sum of the numbers?

(a) 122

(b) 164

(c) 112

(d) 108

Q7. The product of two numbers is 6760 and their HCF is 13. How many such pairs of numbers can be formed?

(a) 1

(b) 2

(c) 3

(d) 4

Q8. If LCM = 10³ × 5², HCF = 10² and first number is 10⁴, then the second number is:

(a) 250

(b) 54

(c) 500

(d) 10³

Q9. Six bells begin to toll together and toll, respectively, at intervals of 15, 17, 19, 24, and 28 seconds. After how many seconds will they toll together again?

(a) 176,280
(b) 271,320
(c) 167,911
(d) 172.190

HCF and LCM Questions for SSC Solution PDF

The HCF and LCM questions are essential topics in mathematics that are asked mostly in competitive examinations like SSC. Understanding these concepts helps in solving problems related to numbers and divisibility. We have provided a solution PDF that contains answers to the above 10 questions. Candidates are required to go through the below solution PDF link to view and download the answers.

Click Here to Download the Solution PDF