Question

My telephone number is a six digit number. What is it?
1) The number is divisible by 22, and three digits of the number are the same
2) Sum of the digits at odd places is equal to 27 and sum of digits at even places is equal to 5. The ${100}^{th}$ and units place of the number is zero

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• C. EACH statement ALONE is sufficient.
• D. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Answer 1

The correct option is B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

Option (b)

Let the 6 digit telephone number be A B C D E F

From statement (1) no useful information can be obtained to obtain a unique phone number

From statement (2), if the sum of 3 digits = 27 A+C+E=27, the the only possibility is that A=C=E=9. Also given that D=F=0 and B=5. Hence the number is 959090. Answer can be obtained based on statement (2) alone