Reasoning Aptitude
DATA SUFFICIENCY MCQs
Total Questions : 590
| Page 59 of 59 pages
Answer: Option A. -> I alone is sufficient while II alone is not sufficient
From I, we have: number of employees who opted for VRS = 18% of 950 + 6% of 1100 = 171 + 66 = 237.
From II, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.
From I, we have: number of employees who opted for VRS = 18% of 950 + 6% of 1100 = 171 + 66 = 237.
From II, we cannot get the required answer until and unless the number of employees in age-group 51 to 56 and other age-groups is known.
Answer: Option E. -> Both I and II are sufficient
II reveals that the previous bus had left at 7.45 p.m. As given in I, the next bus would leave after 30 minutes i.e. at 8.15 p.m.
II reveals that the previous bus had left at 7.45 p.m. As given in I, the next bus would leave after 30 minutes i.e. at 8.15 p.m.
Answer: Option D. -> Neither I nor II is sufficient
From I, we have: N > M, N > P, D > N. Thus, we have: D > N > M > P or D>N> P>M.
But, from II, M earns more than P i.e. D > N > M > P. Also, since P earns less than K and N earns less than only D, so we have: D>N>K>M>P or D>N>M> K > P.
Hence, either K or M earns more than only the least earner i.e. P.
From I, we have: N > M, N > P, D > N. Thus, we have: D > N > M > P or D>N> P>M.
But, from II, M earns more than P i.e. D > N > M > P. Also, since P earns less than K and N earns less than only D, so we have: D>N>K>M>P or D>N>M> K > P.
Hence, either K or M earns more than only the least earner i.e. P.
Answer: Option C. -> Either I or II is sufficient
From I, We know that in a class of 25 students, Amit ranks 18th from the bottom and 8th from the top.
Sachin is three ranks above Amit and so, Sachin ranks 5th from the top.
From II, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.
From I, We know that in a class of 25 students, Amit ranks 18th from the bottom and 8th from the top.
Sachin is three ranks above Amit and so, Sachin ranks 5th from the top.
From II, Deepti ranks 23rd from the bottom and hence, 3rd from the top. Sachin, being 2 ranks below Deepti, is, thus, 5th from the top.
Question 585. Question : How many girls are taller than Shravan in his class ?
Statements :
I. When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
II. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.
Statements :
I. When students of Shravan's class are ranked in descending order of their heights, Shravan's rank is 17th from the top among all the students and 12th among boys.
II. Shravan's rank from the bottom on the basis of height among boys is 18th and among all students, 29th.
Answer: Option A. -> I alone is sufficient while II alone is not sufficient
From I, we conclude that there are 16 students and 11 boys taller than Shravan.
This implies that there are 5 girls taller than Shravan.
In II, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.
From I, we conclude that there are 16 students and 11 boys taller than Shravan.
This implies that there are 5 girls taller than Shravan.
In II, Shravan's rank from the bottom is mentioned and to ascertain the number of girls taller than him, we need to know his rank from the top for which the number of students in the class is required, which is not given.
Answer: Option D. -> Only I and either II or III
Observing I, II and III, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding.
Thus, to find the code for DATE, we need the code for D which can be obtained from I only (i.e. $.) and the codes for A, T and E which can be obtained either from II or III (@, # and % respectively).
Observing I, II and III, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding.
Thus, to find the code for DATE, we need the code for D which can be obtained from I only (i.e. $.) and the codes for A, T and E which can be obtained either from II or III (@, # and % respectively).
Answer: Option E. -> None of these
To find the code for 'we', we need to have any of the following:
(i) 'We are friends' should have only 'We' common with another statement, as in II;
(ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in I and III. Thus, we need Either II only or I and III only.
To find the code for 'we', we need to have any of the following:
(i) 'We are friends' should have only 'We' common with another statement, as in II;
(ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in I and III. Thus, we need Either II only or I and III only.
Answer: Option D. -> Only I and III
From I, we have: M > V, V > S, V > N ...(i)
From II, we have: Mukul is the oldest ...(ii)
From III, we have: S > N ...(iii)
Combining (i) and (iii), we get :M > V, V >S > N or M>V > S > N. Clearly, Nikunj is the youngest.
From I, we have: M > V, V > S, V > N ...(i)
From II, we have: Mukul is the oldest ...(ii)
From III, we have: S > N ...(iii)
Combining (i) and (iii), we get :M > V, V >S > N or M>V > S > N. Clearly, Nikunj is the youngest.
Answer: Option D. -> All I, II and III
From II, we know that Gopal's brother was born in 1982.
From III, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.
From I, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.
From II, we know that Gopal's brother was born in 1982.
From III, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.
From I, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.
Question 590. Question : Among P, Q, R, S and T, Q is the second tallest and S is immediate taller than the shortest. Who among them is in the middle when they stand in the order of their heights ?
Statements :
I. T is not the shortest.
II. R is taller than S but shorter than Q.
III. P ranks third in height above S when all are arranged in the order of height.
Statements :
I. T is not the shortest.
II. R is taller than S but shorter than Q.
III. P ranks third in height above S when all are arranged in the order of height.
Answer: Option B. -> Either II only or I and III only
From the given statement, the descending order of heights is :__, Q,__, S,__.
From II, we have the order: _, Q, R, S,__. Thus, R is in the middle.
From III, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest.
So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle.
From the given statement, the descending order of heights is :__, Q,__, S,__.
From II, we have the order: _, Q, R, S,__. Thus, R is in the middle.
From III, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest.
So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle.
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