The question consists of two statements numbered “I and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. There are three persons A, B and
C. The sum of the present ages of A and B is 50 years. Find the present age of
C. Statement I: 5 years hence, C will be 3 years older than
B. Statement II: The difference between the present ages of A and C is 10 years. The present age of B is more than 18 years.

Let the present age of A be ‘x’ years Therefore, present age of B = (50 – x) years Statement I: 5 years hence, C = B + 3 So, present age of C = (50 – x + 3) = (53 – x) years So, data in statement I alone is not sufficient to answer the question. Statement II: Present age of C can be (x – 10) years or (x + 10) years So, data in statement II alone is not sufficient to answer the question. Combining statement I and II: Case I: 53 – x = x – 10 Or, 2x = 63 Or, x = 31.5 (not suitable) Case II: 53 – x = x + 10 Or, 2x = 43 Or, x = 21.5 (not suitable) No valid integer age satisfying condition Therefore, data given in both statements I and II together are not sufficient to answer the question. Hence, option d.