# HCF and LCM Quiz Set 006

### Question 1

Find the largest number that divides each of the numbers 45, 35 and 21 and leaves the same remainder?

A

2.

B

4.

C

3.

D

5.

Soln.
Ans: a

The pair-wise differences are (45 and 35) = 10, (35 and 21) = 14, (21 and 45) = 24. The required number is HCF of 10, 14 and 24 = 2.

### Question 2

The HCF of two numbers is 19. The factors of their LCM are 19, 7 and 31. Which is the greater of the two numbers?

A

589.

B

1178.

C

294.

D

1767.

Soln.
Ans: a

The numbers are 19 × 7 = 133, and 19 × 31 = 589. The greater of them is 589.

### Question 3

The HCF of two numbers is 13. The factors of their LCM are 13, 3 and 43. Which is the greater of the two numbers?

A

559.

B

1118.

C

279.

D

1677.

Soln.
Ans: a

The numbers are 13 × 3 = 39, and 13 × 43 = 559. The greater of them is 559.

### Question 4

Three cyclists are cycling in a circular track. They, respectively, take 6, 7 and 19 minutes to complete the circle once. After how many minutes will they all again meet at a single point?

A

798 minutes.

B

1596 minutes.

C

399 minutes.

D

799 minutes.

Soln.
Ans: a

The answer lies in finding the LCM of their times. The LCM of 6, 7 and 19 = 798.

### Question 5

What is the HCF of 12, 48 and 171?

A

3.

B

6.

C

1.

D

9.

Soln.
Ans: a

The required HCF = 3. 