Question

Kuldeep works as a librarian in SPS
Gurgaon. He ordered for 120 books of
physics, 48 books of biology, 168 books
of mathematics and 336 books of english.
These books were delivered next day. He
wishes to arrange these books in stacks such
that each stack consists of the books on
only one subject and the number of books
in each stack is the same. He also wishes
to keep the number of stacks minimum.
(a) The total number of stacks formed
is
(i) 24
(iii) 28
(iv) 30
(b) How many stacks of english books
will be formed?
(i) 10
(iii) 13
(ii) 26
(ii) 12
(iv) 14

Answer 1

Answer:

b) 26

a)30

total number of sacks formed 30

sacks of English book formed 26

Answer 2

Given: Kuldeep works as a librarian in SPS

Gurgaon. He ordered 120 books of

physics, 48 books of biology, 168 books

of mathematics and 336 books of English.

To find: We have to find out the number of stacks and stacks of English books that will be formed.

Solution:

Given that Kuldeep ordered 120 books of

physics, 48 books of biology, 168 books

of mathematics and 336 books of English.

The HCF between 48,120,168 and 336 is-

$48 = 24 \times 2 \\ 120 = 24 \times 5 \\ 168 = 24 \times 7 \\ 336 = 24 \times 14$

So, the HCF is 24.

Thus one stack contains 24 books.

The total number of stacks will be (2+5+7+14=28)

The correct option is (ii) 28.

The total number of English books is 336.

Each stack contains 24 books.

So, the number of the stack that has English books is 336/24=14.

The correct option is (iv) 14.