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Reasoning Aptitude

DATA SUFFICIENCY MCQs

Total Questions : 590 | Page 54 of 59 pages
Question 531. Question : Who is the tallest among six boys P, T, N, D, Q and R ?
Statements :
I. P is taller than D and N but not-as tall as T.
II. R is taller than Q but not as tall as T.
III. Q is not taller than T and R.
  1.    Only I and II
  2.    Only II and III
  3.    Only I and III
  4.    All I, II and III
  5.    Only I and either II or III
 Discuss Question
Answer: Option A. -> Only I and II
From I, we have: P > D, P > N, T > P i.e. T > P > D > N or T > P > N > D ...(i)
From II, we have: R > Q, T > R i.e. T > R > Q ...(ii)
From III, we have: T > Q, R > Q ...(iii)
Clearly, from (i) and (ii), we conclude that T is taller than each one of P, N, D, R and Q. So, T is the tallest.
Question 532. Question : What does 'come' represent in a code language ?
Statements :
I. 'pit na tac' means 'come and go' in that code language.
II. 'ja ta da' means 'you are good' in that code language.
III. 'na da rac' means 'you can come' in that code language.
  1.    Only I and II
  2.    Only II and III
  3.    Only I and III
  4.    All I, II and III
  5.    None of these
 Discuss Question
Answer: Option C. -> Only I and III
To find the code for 'come', we need to have two statements which have one common code word and 'come' as the common word, which is there in I and III.
Question 533. Question : How is the girl in the photograph related to Kunal?
Statements :
I. Pointing to the photograph, Kunal said, "She is the mother of my father's only granddaughter".
II. Kunal has no siblings.
III. Pointing to the photograph, Kunal said, "She is the only daughter-in-law of my mother."
  1.    Any two of the three
  2.    Only I and II
  3.    Only II and III
  4.    Either only III or only I and II
  5.    None of these
 Discuss Question
Answer: Option D. -> Either only III or only I and II
From I, we conclude that the girl is either Kunal's or his brother's wife. But, according to II, Kunal has no siblings.
So, from both I and II, we conclude that the girl is Kunal's wife.
From III, we find that the girl is the only daughter-in-law of Kunal's mother i.e. she is Kunal's wife.
Question 534. Question : How many sons does X have ?
Statements :
I. Q and U are brothers of T.
II. R is sister of P and U.
III. R and T are daughters of X.
  1.    Only I and II
  2.    Only II and III
  3.    All I, II and HI
  4.    I, II and III together are not sufficient
  5.    None of these
 Discuss Question
Answer: Option D. -> I, II and III together are not sufficient
From I, II and III, we conclude that all P, Q, R, T and U are children of X. Of these, Q and U are male while R and T are female. But the sex of P cannot be determined.
Question 535. Question : What does 'come' represent in a code language ?
Statements :
I. 'pit na tac' means 'come and go' in that code language.
II. 'ja ta da' means 'you are good' in that code language.
III. 'na da rac' means 'you can come' in that code language.
  1.    Only I and II
  2.    Only II and III
  3.    Only I and III
  4.    All I, II and III
  5.    None of these
 Discuss Question
Answer: Option C. -> Only I and III
To find the code for 'come', we need to have two statements which have one common code word and 'come' as the common word, which is there in I and III.
Question 536. Question : In a row of five buildings - P, Q, R, S and T, which building is in the middle ?
Statements :
I. Buildings S and Q are at the two extreme ends of the row.
II. Building ,T is to the right of building R.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option D. -> Neither I nor II is sufficient
From I, we have the order : S, -, -, -, Q. From II, we have the order : R, T. Combining the above two, we get two possible orders : S, R, T, P, Q or S, P, R, T, Q. Thus, either T or R is in the middle.
Question 537. Question : How many speeches were delivered in the two days' programme ?
Statements :
I. 18 speakers were invited to give at least one speech (maximum of two speech), out of which one-sixth of the speakers could not come.
II. One-third of the speakers gave two speeches each.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option E. -> Both I and II are sufficient
From I, we find that number of speakers who attended programme =18-(1/6) of 18 = 15.
From II, we find that one-third of 15 i.e. 5 speakers gave 2 speeches each, while each of the remaining 10 speakers delivered only one speech.
So, total number of speeches delivered = (5 x 2 + 10 x 1) = 20.
Question 538. Question : What is the rank of P from the bottom in a class of 30 students ?
Statements :
I. M is third from the top and there are five students between M and P.
II. The rank of K is fourth from the bottom and there are 17 students between K and P.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option C. -> Either I or II is sufficient
From I, we conclude that P is 9th from the top. Thus, in a class of 30 students, P ranks 22nd from the bottom.
From II, we conclude that P is 22nd from the bottom.
Question 539. Question : What time did the train leave today ?
Statements :
I. The train normally leaves on time.
II. The scheduled departure is at 14 : 30.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option D. -> Neither I nor II is sufficient
Clearly, even both I and II together do not reveal the exact time of departure of the train today.
Question 540. Question : Among five friends, who is the tallest ?
Statements :
I. D is taller than A and C.
II. B is shorter than E but taller than D.
  1.    I alone is sufficient while II alone is not sufficient
  2.    II alone is sufficient while I alone is not sufficient
  3.    Either I or II is sufficient
  4.    Neither I nor II is sufficient
  5.    Both I and II are sufficient
 Discuss Question
Answer: Option E. -> Both I and II are sufficient
From I, we have: D > A, D > C.
From II, we have: E > B > D.
Combining the above two, we get :E > B > D > A > C or E > B > D >C > A.
Thus, E is the tallest.

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