Latest Data Sufficiency Questions and Answers for Competitive Exams
Directions: Each of the questions below consists of a question and some statements numbered given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Read both the statements and give answer.
41. Average age of employees working in a department is 30 years. In the next year, 10 workers will retire. What will be the average age in the next year?
Statement I. Retirement age is 60 years.
Statement II. There are 50 employees in the department.
(A) Both I and II are not sufficient to answer
(B) Either I or II alone sufficient to answer
(C) Both I and II are necessary to answer
(D) II alone sufficient while I alone not sufficient to answer
(E) I alone sufficient while II alone not sufficient to answer
42. What is the two-digit number whose first digit is “a” and the second digit is “b”? The number is greater than 9.
Statement I. The number is multiple of 9.
Statement II. The number is multiple of 3
(A) Both I and II are necessary to answer
(B) Both I and II are not sufficient to answer
(C) II alone sufficient while I alone not sufficient to answer
(D) Either I or II alone sufficient to answer
(E) I alone sufficient while II alone not sufficient to answer
43. What is the two-digit number whose first digit is “a” and the second digit is “b”? The number is greater than 9.
Statement I. The number is multiple of 52.
Statement II. The sum of the digits “a” and “b” is 7.
(A) Both I and II are necessary to answer
(B) Both I and II are not sufficient to answer
(C) II alone sufficient while I alone not sufficient to answer
(D) Either I or II alone sufficient to answer
(E) I alone sufficient while II alone not sufficient to answer
44. What is the two-digit number whose first digit is “a” and the second digit is “b”? The number is greater than 9.
Statement I. The number is multiple of 51.
Statement II. The sum of the digits “a” and “b” is 6.
(A) Both I and II are necessary to answer
(B) Both I and II are not sufficient to answer
(C) II alone sufficient while I alone not sufficient to answer
(D) Either I or II alone sufficient to answer
(E) I alone sufficient while II alone not sufficient to answer
45. What is the two-digit number?
Statement I. The difference between the two digits is 9.
Statement II. The sum of the digits is equal to the difference between the two digits.
(A) Both I and II are necessary to answer
(B) Both I and II are not sufficient to answer
(C) II alone sufficient while I alone not sufficient to answer
(D) Either I or II alone sufficient to answer
(E) I alone sufficient while II alone not sufficient to answer
46. What is the two-digit number?
Statement I. The difference between the two digits is 8.
Statement II. The sum of the digits is equal to the difference between the two digits.
(A) Both I and II are not sufficient to answer
(B) II alone sufficient while I alone not sufficient to answer
(C) Either I or II alone sufficient to answer
(D) Both I and II are necessary to answer
(E) I alone sufficient while II alone not sufficient to answer
47. What is the two-digit number?
Statement I. The difference between the two digits is 7.
Statement II. The sum of the digits is equal to the difference between the two digits.
(A) Both I and II are not sufficient to answer
(B) II alone sufficient while I alone not sufficient to answer
(C) Both I and II are necessary to answer
(D) Either I or II alone sufficient to answer
(E) I alone sufficient while II alone not sufficient to answer
48. What is the two-digit number?
Statement I. The difference between the two digits is 6.
Statement II. The sum of the digits is equal to the difference between the two digits.
(A) Both I and II are not sufficient to answer
(B) Both I and II are necessary to answer
(C) II alone sufficient while I alone not sufficient to answer
(D) I alone sufficient while II alone not sufficient to answer
(E) Either I or II alone sufficient to answer
49. What is the two-digit number?
Statement I. The difference between the two digits is 5.
Statement II. The sum of the digits is equal to the difference between the two digits.
(A) Both I and II are not sufficient to answer
(B) Either I or II alone sufficient to answer
(C) II alone sufficient while I alone not sufficient to answer
(D) Both I and II are necessary to answer
(E) I alone sufficient while II alone not sufficient to answer
50. What is the two-digit number?
Statement I. The difference between the two digits is 4.
Statement II. The sum of the digits is equal to the difference between the two digits.
(A) Both I and II are necessary to answer
(B) Both I and II are not sufficient to answer
(C) II alone sufficient while I alone not sufficient to answer
(D) I alone sufficient while II alone not sufficient to answer
(E) Either I or II alone sufficient to answer
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