Prime Time Class 6 MCQ

Prime Time Class 6 MCQ

Prime Time Class 6 MCQ

Question 1.

Jagat arranges 21 marbles into rows such that each row has an equal number of marbles. If there are 3 rows, each having (a)_ marbles indicating that (b)_ and (c)_ are the factors of 21. Which of these options correctly identifies a, b, and c?

Answer:

Question 2.

In a sitting arrangement, some people are made to sit in 9 rows such that each row has 4 people. If the same number of people are rearranged in m rows with n people in each row, which of these cannot be the value of m and n?

(a) 12 and 3

(b) 8 and 5

(c) 18 and 2

(d) 6 and 6

Answer:

(b) 8 and 5

Question 3.

Which of these is a factor of 96?

(a) 43

(b) 14

(c) 16

(d) 36

Answer:

(c) 16

Question 4.

The factors of a number 667 are two consecutive prime numbers p and q such that p > q. What is/are the factor(s) of the number (p - q)?

(a) 2 and 3

(b) 2 and 13

(c) 7

(d) 52

Answer:

(a) 2 and 3

Question 5.

Which of these can be concluded about the number 713?

(а) As it has no factor other than 1 and itself, it is a prime number.

(b) As it has two factors, 23 and 31, other than 1 and itself, it is a prime number.

(c) As it has two factors, 23 and 31, other than 1 and itself, it is a composite number.

(d) As it has no factor other than 1 and itself, it is a composite number.

Answer:

(c) As it has two factors, 23 and 31, other than 1 and itself, it is a composite number.

Question 6.

What are the factors of 1147? Is it a prime number or a composite number?

(а) 1, 1147; composite

(b) 1, 1147; prime

(c) 1, 31, 37, 1147; composite

(d) 1, 31, 37, 1147; prime

Answer:

(c) 1, 31, 37, 1147; composite

Question 7.

Which is the first common multiple of 48 and 72?

(a) 96

(b) 112

(c) 128

(d) 144

Answer:

(d) 144

Question 8.

Which of the following is not a common factor of 144 and 96?

(a) 12

(b) 24

(c) 18

(d) 16

Answer:

(c) 18

Question 9.

Consider the two conditions about the numbers m and n.

Condition 1: Both are two-digit numbers.

Condition 2: One is odd, and the other is even.

If m × n = 180, then what is the first common multiple of m and n.

(a) 36

(b) 60

(c) 90

(d) 180

Answer:

(b) 60

Question 10.

How many twin primes are there between the numbers 40 and 100?

(a) 4

(b) 3

(c) 2

(d) 1

Answer:

(b) 3

Question 11.

Which of the following numbers is divisible by 4?

(a) 4402

(b) 3486

(c) 2914

(d) 3916

Answer:

(d) 3916

Question 12.

Which of the following is the prime factorisation of 72?

(a) 2 × 4 × 3 × 3

(b) 8 × 9

(c) 2 × 3 × 2 × 3 × 2

(d) 2 × 2 × 2 × 9

Answer:

(c) 2 × 3 × 2 × 3 × 2

Question 13.

Which of the following pairs of numbers are not co-prime?

(a) 8 and 9

(b) 16 and 25

(c) 7 and 17

(d) 51 and 57

Answer:

(d) 51 and 57

Question 14.

The greatest common factor of the numbers 30 and 75 is

(a) 5

(b) 12

(c) 15

(d) 25

Answer:

(c) 15

Question 15.

How many numbers between 530 and 540 are divisible by 4?

(a) 3

(b) 2

(c) 1

(d) 0

Answer:

(b) 2

Case Study

I. Number Cards

Question 1.

A student draws two number cards from a bag containing number cards from 1 to 100. One of the numbers drawn is 8 more than the least two-digit number, and the other is three times the least two-digit number. Two common factors of these numbers are:

(a) 9 and 6

(b) 6 and 2

(c) 6 and 5

(d) 3 and 9

Answer:

(b) 6 and 2

Question 2.

The greatest common factor of these two numbers is

(a) 3

(b) 6

(c) 5

(d) 9

Answer:

(b) 6

Question 3.

Prime factorisation of the first number is

(a) 2 × 3 × 5

(b) 2 × 2 × 3

(c) 2 × 3 × 3

(d) 2 × 2 × 3 × 3

Answer:

(c) 2 × 3 × 3

Question 4.

The first common multiple of these two numbers is

(a) 36

(b) 45

(c) 72

(d) 90

Answer:

(d) 90

Question 5.

The sum of the greatest common factors and the first common multiple of these two numbers is

(a) 42

(b) 54

(c) 81

(d) 96

Answer:

(d) 96

II. Numbers on the blackboard:

Some numbers are written on the blackboard.

Question 1.

Which of the following numbers is divisible by 8?

(a) 1258

(b) 790148

(c) 49222

(d) 901352

Answer:

(d) 901352

Question 2.

Which of the following numbers is divisible by 4?

(a) 1258

(b) 790148

(c) 49222

(d) 438750

Answer:

(b) 790148

Question 3.

Which of the following numbers is divisible by 5?

(a) 297144

(b) 790148

(c) 438750

(d) 901352

Answer:

(c) 438750

Question 4.

Which of the following numbers is divisible by 2 but not by 4?

(a) 297144

(b) 1258

(c) 901352

(d) 790148

Answer:

(b) 1258

Question 5.

Which of the following numbers is divisible by both 4 and 5?

(a) 901352

(b) 438750

(c) 790148

(d) 1460

Answer:

(d) 1460