arrow
arrow
arrow
What should be the smallest integer in place of * if the number 502*693 is exactly divisible by 9?
Question

What should be the smallest integer in place of * if the number 502*693 is exactly divisible by 9?

A.

2

B.

4

C.

3

D.

0

Correct option is A

Given:

Number: 502*693
We need to find the smallest integer that can replace * to make the number divisible by 9.

Concept Used:
A number is divisible by 9 if the sum of its digits is divisible by 9.

Solution:
the sum of the known digits.
Sum of the digits: 5 + 0 + 2 + 6 + 9 + 3 = 25
Let the unknown digit (in place of *) be x.
The sum of all the digits becomes: 25 + x.
For the number to be divisible by 9, 25 + x must be divisible by 9.
the smallest value of x such that 25 + x is divisible by 9.
The remainder when 25 is divided by 9 is 7, so we need to add 2 to make it divisible by 9.
The smallest value of x is 2.
Thus, the smallest integer that can replace * is 2.

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 General Awareness Section Test 1

languageIcon English
  • pdpQsnIcon40 Questions
  • pdpsheetsIcon30 Marks
  • timerIcon25 Mins
languageIcon English
test-prime-package

Access ‘RRB JE CBT-I’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow