2017 · Q17
Consider the following numbers :
- 12222
- 211664
- 3343343
- 4220347
Which of the above are not perfect squares ?
Elementary MathematicsNumber System
- A1, 2 and 3
- B1, 2 and 4
- C2, 3 and 4
- D1, 3 and 4
Explanation
11664 = 108², since (100+8)² = 10000+1600+64, so it is a perfect square. For 2222: 47² = 2209 < 2222 < 2304 = 48². For 343343: 585² = 342225 < 343343 < 343396 = 586². For 220347: 469² = 219961 < 220347 < 220900 = 470² — each lies strictly between consecutive squares. So 1, 3 and 4 are not perfect squares. Hence option (D) 1, 3 and 4.