Highest Common Factor And Least Common Multiple MCQ Set 6

Showing question 26 to 30 of total 54 MCQs

Solve the question on your notebook and check it by clicking (Answer and Explanation) below question.

Question No: 26

Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively

1. 19
2. 17
3. 13
4. 9

Question No: 27

If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.

1. 2574
2. 2500
3. 1365
4. 1574

Question No: 28

There are three numbers, these 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. What will be the sum of three numbers :

1. 80
2. 82
3. 85
4. 87

Question No: 29

The greatest length of the scale that can measure exactly 30 cm, 90 cm, 1 m 20 cm and 1 m 35 cm lengths is

1. 5 cm
2. 10 cm
3. 15cm
4. 30 cm

Question No: 30

What will be least number of marbles with Rohit if he can arrange them in rows of 18, 10 and 15 marbles each as well as make a perfect solid square out of all the marbles?

1. 133
2. 43
3. 90
4. 900

Answer: D

Explanation

We need the least number, which means we must first find LCM of 18, 10 and 15

LCM = 3 × 2 × 5 × 3 = 90

Here there are two 3’s (this gives square of 3) but only one 2 and one 5

Ife we multiply by 2 and 5 then we gest, 3 × 3 × 2 × 2 × 5 × 5 = 900

900 is perfect square = number of marbles