### Problems on H.C.F and L.C.M Online Test Part - 4

**Exam Name**- Quantitative Aptitude

**Subject Name**- Problems on H.C.F and L.C.M

**Exam Type**- Multiple Choice Questions

**No Of Questions**- 10

**Question - 1:The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:?**

- 3
- 13
- 23
- 33

Show/Hide Answer

**Answer = C - 23**

**Explanation: No Explanation**

**Question - 2:A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ? ?**

- 26 minutes and 18 seconds
- 42 minutes and 36 seconds
- 45 minutes
- 46 minutes and 12 seconds

Show/Hide Answer

**Answer = D - 46 minutes and 12 seconds**

**Explanation: No Explanation**

**Question - 3:Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together. ?**

- 15
- 16
- 30
- 31

Show/Hide Answer

**Answer = D - 31**

**Explanation: No Explanation**

**Question - 4:The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5**

respectively, is: ?

respectively, is: ?

- 123
- 127
- 235
- 305

Show/Hide Answer

**Answer = B - 127**

**Explanation: No Explanation**

**Question - 5:What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ? ?**

- 196
- 630
- 1260
- 2520

Show/Hide Answer

**Answer = B - 630**

**Explanation: No Explanation**

**Question - 6: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 ?**

- 279
- 283
- 308
- 318

Show/Hide Answer

**Answer = C - 308**

**Explanation: Other number = (11×7700 / 275)**

= 308.

= 308.

**Question - 7:Three numbers which are co-prime to each other 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: ?**

- 75
- 81
- 89
- 85

Show/Hide Answer

**Answer = D - 85**

**Explanation: No Explanation**

**Question - 8:Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are ?**

- 4, 8, 12
- 5, 10,15
- 12, 24, 36
- 10, 20, 30

Show/Hide Answer

**Answer = C - 12, 24, 36**

**Explanation: Let the required numbers be x, 2x and 3x.**

Then, their H.C.F = x. So x = 12.

The numbers are 12, 24, 36.

Then, their H.C.F = x. So x = 12.

The numbers are 12, 24, 36.

**Question - 9:The H.C.F. of 2923 and 3239 is : ?**

- 37
- 47
- 73
- 79

Show/Hide Answer

**Answer = D - 79**

**Explanation: No Explanation**

**Question - 10:Which of the following has the most number of divisors? ?**

- 99
- 101
- 176
- 182

Show/Hide Answer

**Answer = C - 176**

**Explanation: No Explanation**

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