Seven friends Kamal, Manish, Rohit, Amit, Gaurav, Pritam and Priya are sitting in a circle. Kamal, Manish, Rohit, AMit, Pritam and Priya are sitting at equal distances from each other.
Rohit is sitting two places right of Pritam, who is sitting one place right of Amit. Kamal forms an angle of 90 degrees from Gaurav and an angle of 120 degrees from Manish. Manish is just opposite Priya and is sitting on the left of Gaurav.
The angle between Gaurav and Manish in the clockwise direction is
Answer: D
Clearly in a circle the arrangement is as shown :
The angle between Gaurav and Manish in clockwise direction is 30º .
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Which of the following statements is not correct ?
Answer: D
Clearly in a circle the arrangement is as shown :
Clearly, all the statements follow from the diagram above.
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(i). Seven students P, Q, R, S, T, U and V take a series of tests.
(ii). No two students get similar marks.
(iii). V always scores more than P.
(iv). P always scores more than Q.
(v). Each time either R socres the highest and T gets the least, or alternatively S scores the highest and U or Q scores the least.
If S is ranked sixth and Q is ranked fifth, which of the following can be true ?
Answer: D
In terms of scores, we have :
V > P, P > Q i.e. V > P > Q.
If R scores the highest, we have R > ...... > T,
If S scores the highest, we have S > ...... > Q or S > ...... > U.
If S is ranked sixth and Q is ranked fifth, we have :
? > ? > ? > ? > Q > S > ?.
In the case, R will rank the highest and thus T will rank the least.
We have :
R > ? > ? > ? > Q > S > T.
Also. the roder V > P > Q will be maintained i.e. V and P will have second, third or fourth places. So, statements (a), (b), (c) and (e) cannot follow. Thus, (d) is the answer.
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If R gets most, V should be ranked not lower than :
Answer: C
In terms of scores, we have :
V > P, P > Q i.e. V > P > Q.
If R scores the highest, we have R > ...... > T,
If S scores the highest, we have S > ...... > Q or S > ...... > U.
Again, if R ranks most, T ranks lowest and occupies seventh place. Since V always rank above P and Q, so in the maximum, P and Q will occupy fifth and sixth places.
Thus, V will not rank lower than fourth.
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If R is ranked second and Q is ranked fifth, which of the following must be true ?
Answer: B
In terms of scores, we have :
V > P, P > Q i.e. V > P > Q.
If R scores the highest, we have R > ...... > T,
If S scores the highest, we have S > ...... > Q or S > ...... > U.
If R is ranked second, S will rank first and Q and U lowest. But Q ranks fifth. So, U ranks lowest. Also the order V > P > Q will be followed.
So ,the arrangement will be S > R > V > P > Q > ? > U. Thus, the sixth place will be occupied by T.
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If S is ranked second, which of the following can be true ?
Answer: A
In terms of scores, we have :
V > P, P > Q i.e. V > P > Q.
If R scores the highest, we have R > ...... > T,
If S scores the highest, we have S > ...... > Q or S > ...... > U.
If S ranks second, R ranks first and T ranks lowest. The order V > P > Q will be followed. So, the arrangement will be R > S > ? > ? > ? > ? > T.
Clearly, statements (b), (c), (d) and (e) cannot follow. So, the answer is (a).
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If V is ranked fifth, which of the following must be true ?
Answer: A
In terms of scores, we have :
V > P, P > Q i.e. V > P > Q.
If R scores the highest, we have R > ...... > T,
If S scores the highest, we have S > ...... > Q or S > ...... > U.
If V ranks fift, P and Q coming before it will occupy sixth and seventh places respectively i.e. Q ranks least. So, S will score the highest.
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(i). A, B, C, D, E and F are six students in a class.
(ii). B and C are shorter than F but heavier than A.
(iii). D is heavier than B and taller than C.
(iv). E is shorter than D but taller than F.
(v). F is heavier than D.
(vi). A is shorter than E but taller than F.
Who among them is the tallest ?
Answer: C
In terms of height, we have :
B < F, C < F, C < D, E < D, F < E, A < E, F < A.
So, C < F < E < D, B < F, F < A < E
Thus, the sequence becomes :
B < C < F < A < E < D or C < B < F < A < E < D.
In terms of weight, we have :
A < B, A < C, B < D, D < F.
So, A < B < D < F, A < C.
Thus, the sequence becomes :
A < C < B < D < F or A < B < C < D < F or A < B < D < C < F.
Clearly, D is the tallest.
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Who is third from the top when they are arranged in descending order of height ?
Answer: A
In terms of height, we have :
B < F, C < F, C < D, E < D, F < E, A < E, F < A.
So, C < F < E < D, B < F, F < A < E
Thus, the sequence becomes :
B < C < F < A < E < D or C < B < F < A < E < D.
In terms of weight, we have :
A < B, A < C, B < D, D < F.
So, A < B < D < F, A < C.
Thus, the sequence becomes :
A < C < B < D < F or A < B < C < D < F or A < B < D < C < F.
The descending order of height is :
D > E > A > F > B > C or D > E > A > F > C > B.
Clearly, A is third from the top.
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Which of the following groups of friends is shorter than A ?
Answer: D
In terms of height, we have :
B < F, C < F, C < D, E < D, F < E, A < E, F < A.
So, C < F < E < D, B < F, F < A < E
Thus, the sequence becomes :
B < C < F < A < E < D or C < B < F < A < E < D.
In terms of weight, we have :
A < B, A < C, B < D, D < F.
So, A < B < D < F, A < C.
Thus, the sequence becomes :
A < C < B < D < F or A < B < C < D < F or A < B < D < C < F.
Clearly, F, B and C are shorter than A.
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