This question was previously asked in

SSC CGL Previous Paper 65 (Held On: 3 March 2020 Shift 1)

- 82
- 604
- 822
- 151

Option 2 : 604

Free

Cell

306304

10 Questions
10 Marks
7 Mins

**Short Trick:**

x - y = 4 and xy = 45

Put x = 9 and y = 5

x^{3} - y^{3}

⇒ 9^{3} - 5^{3}

⇒ 729 - 125

⇒ 604

**Detailed solution:**

x - y = 4 and xy = 45

(x^{3} - y^{3}) = (x - y) [(x - y)^{2} + 3xy]

x^{3} - y^{3} = 4 [4^{2} + 3 × 45] [**Hint: **Answer will be divisible by 4, only 1 option 604 divisible by 4.]

x^{3} - y^{3} = 4 [16 + 135]

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