Question

संख्याओं 1,2,3,4,.......,98,99,
100 को परस्पर गुणा किया जाता है।
गुणनफल के दायीं ओर अंत पर शून्यों की
संख्या होगी
(1)24
(2)22
(3)21
(4)11​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Numbers 1,2,3,4,....,98,99, 100 is multiplied by each other. the number of zeros at the right end of the product the number will be

(1) 24

(2) 22

(3) 21

(4) 11

EVALUATION

Here the given expression is

= 1 × 2 × 3 × 4 ×.... × 99 × 100

= 100 !

Hence the required number of zeros at the right end of the product the number

$\displaystyle \sf{ = \bigg[ \frac{100}{5} \bigg] + \bigg[ \frac{100}{ {5}^{2} } \bigg] }$

$\displaystyle \sf{ = \bigg[ \frac{100}{5} \bigg] + \bigg[ \frac{100}{ 25 } \bigg] }$

$\displaystyle \sf{ = \bigg[ 20 \bigg] + \bigg[ 4\bigg] }$

= 20 + 4

= 24

Where [ x ] is greatest integer but not greater than x

FINAL ANSWER

Hence the correct option is (1) 24

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