##
**
Question
**

## 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.

##
**
Question 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

##
**
Question 2
**

##
If the product of two positive 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

##
**
Question 3
**

##

36 can be expressed as a product of it’s primes as

(a) 2
^{
2
}
× 3
^{
2
}

(b) 2
^{
1
}
× 3
^{
3
}

(c) 2
^{
3
}
× 3
^{
1
}

(d) 2
^{
0
}
× 3
^{
0
}

##
**
Question 4
**

##

7 × 11 × 13 × 15 + 15 is a

(a) Prime number

(b) Composite Number

(c) Neither prime nor composite

(d) None of the above

##
**
Question 5
**

##

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

(a) ab (b) a
^{
2
}
b
^{
2
}
(c) a
^{
3
}
b
^{
2
}
(d) a
^{
3
}
b
^{
3
}