Real Numbers Class 10th CBSE-Case Study-1

To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections- section A and section B of grade X. There are 32 students in section A and 36 students in section B.

1. What is the minimum number of books you will acquire for the class library, so that they can be distributed equally among students of Section A or Section B?

A) 144
B) 128
C) 288
D) 272

... Answer is C)
288

2. If the product of two postive integers is equal to the product of their HCF and LCM is true then, the HCF (32, 36) is

A) 2
B) 4
C) 6
D) 8

... Answer is b)
4

3. 36 can be expressed as a product of its primes as

A) `2^2  \times 3^2 `
B) `2^1 \times 3^3`
C) `2^3 \times 3^1`
D) `2^0 \times 3^0`

... Answer is A)
2^2 x 3^2.

4. 7x 11x 13 x 15 +15 is a

A) Prime number
B) composite number
C) Neither prime nor composite
D) None of these

... Answer is B)
Composite number

5. If p and q are positive integers such that `p= ab^2` and `a^2b`, where a, b are prime numbers, then the LCM (p, q) is

A) `ab`  
B) `a^2b^2`
C) `a^3b^2`
D) `a^3b^3`

... Answer is B)
a^2b^2.

For a detailed solution, you can watch the video