Question

13. How many of the following numbers divide 5!?
[A] 3 [B] 5 [C] 10 [D] 15 [E] 16
A. 2
B. 3
C.4
D.5​

Answer 1

Answer:

answer is option B.3

Step-by-step explanation:

because.. 5,10,15 all these 3nos. are divisible by 5...thus answer is option B.3

Answer 2

C.There are 4 numbers by which 5! can be divided.

Step-by-step explanation:

Given: 5!

Numbers: [A] = 3, [B] = 5, [C] = 10, [D] = 15, [E] = 16

To find: Numbers dividing 5!.

Solution:

Value of 5! = 5×4×3×2×1

5! = 120

Now,

First dividing 120 by 3,

$=\frac{120}3}$

=40

5! is divisible by 3.

Dividing 5! by 5,

$=\frac{120}{5}$

=24

5! is divisible by 5.

Dividing 5! by 10,

$=\frac{120}{10}$

=12

5! is divisible by 10.

Dividing 5! by 15,

$=\frac{120}{15}\\ =\frac{24}{3}\\ =8$

5! is divisible by 15.

Dividing 5! by 16,

$=\frac{120}{16}\\ =\frac{60}{8}\\ =\frac{30}{4}\\ =\frac{15}{2}$

5! is not divisible by 16.

Hence,

5! is divisible by 3, 5, 10 and 15.

Therefore,

There are 4 numbers by which 5! is dividided.

Hence,

The correct option is C.4.