66. What is the
remainder when
51x27x 35 x 62 x 75 is divided by 100?
Answers
Step-by-step explanation:
51×27×35×62×75
Multiplying the digit at ones place of each term in the product
1×7×5×2×5
35×10
350
Diving this by 100 we get remainder as 50
So the remainder when 51×27×35×62×75 is 50 when divided by 100.
Answer :
When a number is divided by 100 , last two digits of that number will always be the reminder.
So our question is basically reduced to find last two digits of 51x27x 35 x 62 x 75 .However present question can be solved by looking at only unit digit of above multiplication.
In the multiplication of two numbers, the resultant number always be the product of the unit's place digits of the number which are multiplying.
in above will get unit digit as
1 x 7 x 5 x 2 x 5 = 350
dividing 350 by 100 we get 50 as reminder
hence , when 51 x 27 x 35 x 62 x 75 divided by 100 we get 50 as reminder.