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
Correct answer: 54
- 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).
Related Number Theory questions
- For three real numbers x, y and z, x + y + z = 5, and xy + yz + xz = 3. What is …
- If x 2 + 5y 2 + z 2 = 2y(2x + z), then which of the following statements are nec…
- A rich merchant had collected many gold coins. He did not want anybody to know a…
- In a book store, the words of the glowsign board "MODERN BOOK STORES" are indivi…
- Each question is followed by two statements A and B. Answer each question using …
- Each question is followed by two statements A and B. Answer each question using …