Data Sufficiency Question Answer

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.

51. What is the two-digit number?

Statement I. The difference between the two digits is 3.

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)  Either I or II alone sufficient to answer

(E)  I alone sufficient while II alone not sufficient to answer

Ans. (B) Both I and II are necessary to answer.

 

52. What is the two-digit number?

Statement I. The difference between the two digits is 2.

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)  I alone sufficient while II alone not sufficient to answer

(E)  Either I or II alone sufficient to answer

Ans. (C) Both I and II are necessary to answer.

 

53. What is the number?

Statement I. The sum of the digits is 35. The ratio of the two digits is 1: 6.

Statement II. The product of the two digit number is 150. The quotient is 6. 

(A)  Both I and II are necessary to answer

(B)  II alone sufficient while I alone not sufficient to answer

(C)  I alone sufficient while II alone not sufficient to answer

(D)  Both I and II are not sufficient to answer

(E)  Either I or II alone sufficient to answer

Ans. (D) Both I and II are not sufficient to answer.

 

54. What is the number?

Statement I. The sum of the digits is 21. The ratio of the two digits is 1: 6.

Statement II. The product of the two digit number is 54. The quotient 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

Ans. (B) Both I and II are not sufficient to answer.

 

55. What is the number?

Statement I. The sum of the digits is 10. The ratio of the two digits is 1: 4.

Statement II. The product of the two digit number is 16. The quotient is 4.

(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

Ans. (D) Either I or II alone sufficient to answer.

 

56. What is the two-digit number?

Statement I. The difference between the two digits is 2.

Statement II. The sum of the digits is equal to the difference between the two digits. 

(A)  Both I and II are necessary

(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 is sufficient to answer

(E)  I alone sufficient while II alone not sufficient to answer

Ans. (A) Both I and II are necessary.

 

57. Who among U, V, W, X and Z is shortest?

Statement I. W is shorter than V and equal to X, Z is not taller than U, V

Statement II. X is taller than Z and equal to W. V and U is not shorter than W.

(A)  If the data given in both I and II together are sufficient to answer

(B)  If the data given in both I and II together are not sufficient to answer

(C)  If the data either in statement I alone or statement II alone are sufficient to answer

(D)  If the data in statement II alone are sufficient

(E)  If the data in statement I alone are sufficient

Ans. (C) If the data either in statement I alone or statement II alone are sufficient to answer.

 

58. In a four floor building, on which floor does P live?(Ground floor is numbered 1)

Statement I. P lives exactly above R’s flat, whose flat is exactly above S’s flat

Statement II.Q lives above P’s flat and S lives on the first floor

(A)  Neither I or II

(B)  Either I or II

(C)  Only II

(D)  Both I and II

(E)  Only I

Ans. (D) Both I and II.

 

59. How is D related to J?

Statement I. J is mother of K and wife of C, who is son-in-law of H.

Statement II.K is niece of D and C is brother-in-law of D

(A)  Either I or II

(B)  Only II

(C)  Only I

(D)  Neither I or II

(E)  Both I and II

Ans. (D) Neither I or II.

 

60. Who scores highest run in a event among five students K, L, M, N and O.

Statement I. K scores equal to L, who scores five runs more than M

Statement II.N does not score the highest runs, but scores nine more than M

(A)  Neither I or II

(B)  Either I or II

(C)  Only II

(D)  Only I

(E)  Both I and II

Ans. (E) Both I and II.

 


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