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Data Sufficiency Questions

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: Who among P, Q, R, S and T is the lightest?

Statements:
I.R is heavier than Q and T but lighter than S.
II.S is not the heaviest.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option D

Explanation:

From I, we have: R>Q, R>T, S>R i.e. S>R>Q>T or S>R>T>Q.

From II, S is not the heaviest. So, P is the heaviest. Thus, we have: P > S > R > Q > T or P > S > R > T > Q. Hence, either T or Q is the lightest.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest ?

Statements:
I.Prabhakar is heavier than Manoj and Kamal but lighter than Akash.
II.Manoj is lighter than Prabhakar and Akash but heavier than Kamal.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option A

Explanation:

From I, we have: P > M, P > K, A > P.

Thus, A > P > M > K or A > P > K > M. So, Akash is the heaviest.

From II, we have: P > M, A > M, M > K.

Thus, A > P > M > K or P > A > M > K. So, either Akash or Prabhakar is the heaviest.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: How is Divya related to Shaloo ?

Statements:
I.Divya's mother is sister of Shaloo's father.
II.Shaloo is the daughter of Divya's grandfather's only child.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option C

Explanation:

From I, we conclude that Divya's mother is Shaloo's aunt or Divya is Shaloo's cousin.

Now, Divya's grandfather's only child is Divya's parent. So, from II, we conclude that Shaloo and Divya are daughters of the same parents i.e. Divya is Shaloo's sister.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: How many New Year's greeting cards were sold this year in your shop ?

Statements:
I.Last year 2935 cards were sold.
II.The number of cards sold this year was 1.2 times that of last year.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option E

Explanation:

From both I and II, we find that the number of cards sold this year = (2935 x 1.2) = 3522.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: Among A, B, C, D and E, who is in the middle while standing in a row ?

Statements:
I.C, who is third to the left of D, is to the immediate right of A and second to the left of E.
II.C is second to the left of E, who is not at any of the ends and who is third to the right of A. D is at one of the ends.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option C

Explanation:

From each one of I and II, we get the order : A, C, B, E, D. Clearly, B is in the middle.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: Among A, B, C, D, E and F, who is the heaviest ?

Statements:
I.A and D are heavier than B, E and F but none of them is the heaviest.
II.A is heavier than D but lighter than C.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option A

Explanation:

From I, we conclude that since none of A and D is the heaviest and each one of B, E and F is lighter than both A and D, so C is the heaviest.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: How is 'No' coded in the code language ?

Statements:
I.'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'.
II.'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option A

Explanation:

In the two statements given in I, the common words are 'But', 'None', 'And' and the

common code words are 'Ne', 'Pa', ,'Lo'. So, 'Ne', 'Pa' and 'Lo' are codes for 'But', 'None' and 'And'. Thus, in the first statement, 'Sic' is the code for 'No'.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: What is the numerical code for 'water' in a certain code ?

Statements:
I.The code for 'give me water' is '719'.
II.The code for 'you can bring water for me' is written as '574186'.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option D

Explanation:

In I and II, the common words are 'me' and 'water' and the common code numbers are '7' and '1'. So, the code for 'water' is either '7' or '1'.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: How many visitors saw the exhibition yesterday ?

Statements:
I.Each entry pass holder can take up to three persons with him/her.
II.In all, 243 passes were sold yesterday.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option D

Explanation:

From I and II, we find that maximum (243 x 3) i.e. 729 visitors saw the exhibition.

But the exact number cannot be determined.

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This question consists of a question and two statements (I and II). Read and Decide whether the data provided in the statements are sufficient to answer the question or not and choose the correct option.

Question: Gaurav ranks eighteenth from the top in a class. What is his rank from the last?

Statements:
I.There are 47 students in the class.
II.Jatin who ranks 10th in the same class, ranks 38th from the last.


AI alone is sufficient while II alone is not sufficient

BII alone is sufficient while I alone is not sufficient

CEither I or II is sufficient

DNeither I nor II is sufficient

EBoth I and II are sufficient

Answer: Option C

Explanation:

From I, we conclude that in a class of 47 students, Gaurav ranks 18th from the top and hence 30th from the last.

From II, we conclude that there are 9 students above and 37 students below Jatin in rank. Thus, there are (9 + 1 + 37) = 47 students in the class.

So, Gaurav who ranks 18th from the top, is 30th from the last.

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