Question

The number is a three digit number with prime digit in its hundred’s place. The number is divisible by 5. The sum of the digits of the quotient is again a prime number. If so, the original number is
a) 315 b)345 c)550 d)500​

Answer 1

Answer:

Let the two digit number be

10x + y

Given that the sum of the digits

is 9

x + y = 9-

-(1))

Given that the number obtained by interchanging the digits

exceeds the given number by 27

10y + x = 10x + y + 27

9x – 9y = -27

taking 9 as common

x - y = -3

Adding equation 1 and 2

x + y = 9

x - y = -3

2x = 6

x = 3

3+y 9

y = 6

The number is 10x + y is 36.

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Answer 2

Answer:

D) 500

Step-by-step explanation:

A)315=3+1+5=9 which is not a prime number

B) 345=3+4+5=12 which is not a prime number

C) 550=5+5+0=10 which is also not a prime number

D) 500)5+0+0=5 is a prime member