## TNPSC Group Exam Maths Questions with Solutions PDF – LCM and HCF:

Aptitude and Mental Ability questions are more important for the TNPSC Group Exams. You will get 25 marks from that Aptitude and Mental Ability portion. Students who are preparing for the TNPSC Group exam concentrate more on the Maths – **LCM and HCF Questions and Answers** part. you will easily score more marks in the Mental Ability part. For student’s benefit, we upload aptitude and mental ability English and Tamil questions and answers in PDF for download. Go through TNPSC Aptitude Shortcuts in order to save time in the prelim exam. TNPSC aspirants can download and use it for the group exam. kindly download **TNPSC Maths PDF** given below:

The TNPSC Maths – HCF and LCM sum questions and answers are provided along with the PDF on this page. TNPSC aptitude study material in English and Tamil PDF available with question answers. Also, see Aptitude Shortcuts so that you will clear/solve question answers easily. TNPSC maths questions and answers in Tamil and English PDF have given below:

Check the link for more questions and answers on Maths Area – **TNPSC Maths LCM & HCF Interest PDF**

Check the TNPSC Group Exam Maths **Highest Common Factor(HCF)** and **Least common multiple(LCM)** Questions and Answers below,

**TNPSC Maths LCM and HCF Problem Question with Solutions**

1. Find the least multiple of 23, which when divided by 18,21, and 24 leaves remainders 7,10, and 13 respectively?

a) 3002 b) 3013

c) 3024 d) 3036

2. 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

3. The greatest number that exactly divides 105, 1001, and 2436 is :

a) 3 b) 7

c) 11 d) 21

4. The sum of two numbers is 216 and their H.C.F is 27. The numbers are :

a) 27, 189 b) 81, 189

c) 108, 108 d) 154, 162

5. The highest common factor and lowest common multiple of two numbers are 12 and 144 respectively. If one number is 36. Find the other number

a) 49 b) 50

c) 36 d) 48

6. The least five digit perfect square number which is divisible by 3,4,5 and 8 is

a) 10800 b) 10201

c) 14400 d) 32400

7. The number of number-pairs lying between 40 and 100 with their H.C.F. as 15 is :

a)3 b) 4 c) 5 d) 6

8. The HCF of two numbers is 2 and their LCM is 154. If the difference between the numbers is 8, then the sum is

a) 26 b) 36

c) 46 d) 56

9. The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is :

a) 4 b) 6

c) 8 d) 12

10. 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

11. Find the ratio of the HCF and the LCM of the numbers 18 and 30.

a) 1 : 18 b) 1 : 17

c) 1 : 15 d) 1 : 16

12. The HCF and LCM of two numbers are respectively 12 and 2448 . If the difference of the numbers is 60 their sum is

a) 348 b) 284

c) 248 d) 204

13. Two numbers are in the ratio 2 :3. If 5 is added to each number the ratio becomes 5 : 7, the greater number is

a) 32 b) 36

c) 30 d) 38

14. 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) 318

**Answers:**

- B
- A
- B
- A
- D
- C
- B
- B
- A
- B
- C
- A
- C
- C