Multiple Choice Questions

If a number 7P323Q is completely divisible by 88 then the values of P and Q respectively are ........

Quantitative Aptitude (CHSL) Number System

If a number 7P323Q is completely divisible by 88, then the values of P and Q, respectively, are:

This questions was previously asked in

SSC CHSL 8th June 2022 Shift-3

3; 2

2; 3

4; 2

9; 2

To determine the values of P and Q that make the number 7P323Q divisible by 88, we need to use two divisibility rules:

- A number is divisible by 88 if it is divisible by both 8 and 11.

Divisibility by 8:

- Check last three digits, 23Q, for divisibility by 8.

- Possible values for Q are tested: Q = 2 makes 232 divisible by 8.

Divisibility by 11:

- The alternating sum is calculated: 7 - P + 3 - 2 + 3 - Q.

- Substitute Q = 2, simplifying to 11 - P needs to be divisible by 11.

- Thus, P = 9.

The correct answer is:

- Option 4: 9; 2

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