Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

Which is the smallest number which when divided by 9, 14 or 16 leaves 3, 8, 10 as the respective remainders?

### Question 2

What is the HCF of $1{5/8}$, $1{3/5}$ and ${5/17}$?

### Question 3

The HCF of two numbers is 7. The factors of their LCM are 7, 13 and 5. Which is the greater of the two numbers?

### Question 4

Which is the second smallest number, which, when divided by 6 and 80, leaves the remainder 6?

**A**

486.

**B**

246.

**C**

726.

**D**

234.

**Soln.**

**Ans: a**

The LCM of 6 and 80 = 240. All the numbers that leave remainder 6 upon being divided by either of the given two numbers are of the form 240k + 6. When k = 1, we get the smallest number, and k = 2 gives the next required number = 486.

### Question 5

Which is the largest number that divides 30 by leaving a remainder 7, and also divides 31 by leaving a remainder 8?

This Blog Post/Article "HCF and LCM Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.