CAT 2002 — QA Question 8
Number TheoryEasy
Number S is equal to the square of the sum of the digits of a 2 digit number D. If the difference between S and D is 27, then D is
Answer & solution
- A
32
54
- C
64
- D
52
Solution
Let S be the square of the sum of the digits.
Substituting options,
Option 1, (3 + 2)2 – 24 ≠ 27
Option 2, (5 + 4)2 − 54 = 27
Hence, option (b).