Question

How many two digit numbers are there in between 6 and 102 which are divisible by 6. Ram calculated it by using A.P. while Shyam calculated it directly. Which value is depicted by Ram?
Value Based Question

Answer 1

First two digit number=10
Last two digit number=99
First two digit number divisible by 6=12
Last two digit number divisible by 6=96
Now the series is:
12,18,24.................................96
18-12=6
24-18=6
This series clearly forms an AP with first term 12 , common difference 6 and last term=96.
a=12
d=6
anth term=96

a+(n-1)d=96

12+(n-1)6=96

6n-6=84

6n=90

n=15

Hence there are 15 two digits number divisible by 6.
Value depicted by Ram is 15.

Answer 2

Answer:

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