Question

if the four digit number p72q is exactly divisible by9 then the least value of (p+q) is​

Answer 1

Answer:

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Question

If the 4 digit number x27y is exactly divisible by 9, then the least value of (x + y) is:

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Official Soldier Clerk Paper : [Arty Centre, Hyderabad (Che)] - 28 Feb 2021

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0

6

9

3

Answer (Detailed Solution Below)

Option 3 : 9

Detailed Solution

Given:

The 4 digit number x27y is exactly divisible by 9,

Concept Used:

If the number is divisible by 9 so sum of the number is also divisible by 9

Calculation:

x27y is exactly divisible by 9

The sum of its digits must be divisible by 9

x + 2 + 7 + y = x + y + 9 is divisible by 9

Minimum value x + y must be equal to 9 because then the sum will be 18 and it is divisible by 9.

∴ The least value of (x + y) is 9

Additional Information

The possible value of x and y can be

x = 9, y = 0

x = 1, y = 8

x = 2, y = 7

x = 3, y = 6

x = 4, y = 5

x = 5, y = 4

x = 6, y = 3

x = 7, y = 2

x = 8, y = 1

Step-by-step explanation:

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Answer 2

Answer:

We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9. Here, x + 2 + 7 + y = multiple of 9 x + y + 9= 0, 9, 18, … Hence, x + y + 9 = 9 ∴ x + y =0 But x + y cannot be 0 because then x and y both will have to be 0.Since x is the first digit, it cannot be 0.∴ x + y + 9 = 18 x + y = 9 ∴ the least value of (x + y) is 9Read more on Sarthaks.com - https://www.sarthaks.com/1112208/if-the-4-digit-number-x27y-is-exactly-divisible-by-9-then-the-least-value-of-x-y-is-a-0-b-3-c-6?show=1112209#a1112209