TCS NQT Guide TCS NQT Numerical AbilityNumber System & Divisibility Rules Questions

TCS NQT Number System & Divisibility Rules Questions

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

1Divisibility by 3: The sum of the digits must be divisible by 3.
2Divisibility by 4: The last two digits must form a number divisible by 4.
3Divisibility by 6: The number must be even and divisible by 3.
4Divisibility by 8: The last three digits must form a number divisible by 8.
5Divisibility by 9: The sum of the digits must be divisible by 9.
6Divisibility by 11: The difference between the sum of digits at odd places and even places must be 0 or a multiple of 11.

TCS NQT Style Practice Questions

Practice Question 1

Find the least value of x so that the 5-digit number 72x48 is divisible by 9.

A) 6

B) 3

C) 1

D) 8

Correct Answer: A) 6

Step-by-step Solution: For a number to be divisible by 9, the sum of its digits must be a multiple of 9. Sum = 7 + 2 + x + 4 + 8 = 21 + x. The next multiple of 9 after 21 is 27. Therefore, 21 + x = 27 => x = 6.

Practice Question 2

Is the number 948275 divisible by 11?

A) Yes

B) No

C) Can't be determined

D) Only if divided by 5 first

Correct Answer: B) No

Step-by-step Solution: Sum of digits at odd places = 9 + 8 + 7 = 24. Sum of digits at even places = 4 + 2 + 5 = 11. Difference = 24 - 11 = 13. Since 13 is not divisible by 11, the number is not divisible by 11.

Study Pro-Tip

Divisibility by 11 is highly tested. Memorize the odd-even digit summation difference formula.

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