Latest TCS Aptitude Question SOLUTION: . Raj writes a number. He sees that the number of two digits exceeds four times the sum of its digits by 3. If the number is increased by 18, the results is the same as the numbe

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(#M40040946) TCS Category question Keep an EYE

. Raj writes a number. He sees that the number of two digits exceeds four times the sum of its digits by 3. If the number is increased by 18, the results is the same as the number formed by reversing the digits. Find the next immediate prime greater than the number.

Asked In TCS PARUL JOSHI (10 years ago)

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uzma  (10 years ago)

ans. 37
10x+y=4(x+y)+3.......... i
10x+y+18=10y+x ............. ii
On solving the above equations we get
x=3 and y=5
So. the next immediate prime no. will be 37.

Is this solution Helpfull? Yes (17) | No (2)  

Ayush Upadhyaya  (10 years ago)

It is a property of numbers like
difference between a two digit number and digit formed by reversing its digits is always divisible by 9
i.e.
if XY is a two digit number and reversed Number is YX
then YX-XY or XY-YX will be divisible by 9
and the quotient which will come after dividing will be the difference between digits of a two digit number
So according to second line
XY+18=YX
YX-XY=18
18/9=2
so difference between two digit number must be 2
so number may be
13or 31,24or42,35or53,46or64,57or75 and so on
now according to first condition in question
XY-3(X+Y)=3
so number 35 satisfies this condition
Now next prime number after 35 is 37(ANS)

Is this solution Helpfull? Yes (4) | No   

saketh  (10 years ago)

10x+y=3+4(x+y)
9x-9Y=-18
num=11
ans)13

Is this solution Helpfull? Yes | No (5)  

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