From the four numbers given below, choose the combination of numbers which are alike in same manner:
A. 144
B. 512
C. 216
D. 343
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → B, C and D only
A. 144 — \(12\times12=12^{2}\), a perfect square; it is not a cube of any whole number.
B. 512 — \(8\times8\times8=8^{3}\), a perfect cube.
C. 216 — \(6\times6\times6=6^{3}\), a perfect cube.
D. 343 — \(7\times7\times7=7^{3}\), a perfect cube.
512, 216 and 343 are alike because all three are perfect cubes; 144 is the one that does not belong.