This question was previously asked in

DSSSB TGT Computer Science General Section - 1 Aug 2021

- 26
- 78
- 72
- 51

Option 3 : 72

**Given:**

(729 - 730 - 731 + 732)

**Concept:**

If Ab + Xb then,

Ab + Xb = b × (A + X)

**Calculation:**

⇒ (729 - 730 - 731 + 732)

⇒ (7^{29} - 7 × 7^{29} - 49 × 7^{29} + 343 × 7^{29})

⇒ Now will take 7^{29} common

⇒ 7^{29} × (1 - 7 - 49 + 343)

⇒ 7^{29} × (288)

⇒ 288 is completely divisible by 72 then, 729 × (288) is also completely divisible by 72

**∴ The required result will be 72.**

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