In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer. Five, girls, Gauri, Ragini, Navya, Kajal and Lovely, are sitting around a circular table facing towards the centre. Who sits to the immediate left of Lovely? (I) Gauri is sitting immediately to the right of Lovely. Ragini is sitting immediately to the left of Kajal. (II) Navya is sitting second to the left of Kajal. Gauri is an immediate neighbour of both Navya and Lovely.
Data in Statement II alone is sufficient to answer the question while data in statement I is not
In a data-sufficiency question the golden rule is to test each statement independently, without borrowing information from the other, and only combine them if neither alone settles the question. Here five girls — Gauri, Ragini, Navya, Kajal and Lovely — sit around a circular table facing the centre, so for each person "left" and "right" are fixed directions, and we must find who is the immediate left neighbour of Lovely.
Testing Statement I alone: It says Gauri is immediately to the right of Lovely, and Ragini is immediately to the left of Kajal. The first fact fixes only Lovely's right side (Gauri), telling us nothing definite about her left side. The Ragini–Kajal pairing can float to several positions relative to Lovely, so the person on Lovely's immediate left could be Navya, Ragini or Kajal. Since more than one arrangement is possible, Statement I alone is insufficient.
Testing Statement II alone: It says Navya sits second to the left of Kajal, and Gauri is an immediate neighbour of both Navya and Lovely. "Gauri neighbours both" forces the consecutive block Navya – Gauri – Lovely. Placing the remaining two girls so that Navya is exactly second to Kajal's left leaves only one valid circular order, which fully fixes every seat — including who sits immediately to Lovely's left. Because the arrangement becomes unique, Statement II alone is sufficient.
Since Statement II by itself answers the question while Statement I by itself does not, the correct choice is that data in Statement II alone is sufficient while Statement I alone is not. The options claiming "both together are needed" or "neither is sufficient" are ruled out precisely because one single statement already cracks the puzzle.
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Important Questions from Data Sufficiency
Which of the following statement is correct?
I. The value of 1002 - 992 + 982 - 972 + 962 - 952 + 942 - 932 + ...... + 222 - 212 is 4840.
II. The value of
\(\left(k^2+ \frac{1}{k^2} \right) \left(k- \frac{1}{k} \right) \left(k^4+ \frac{1}{k^4} \right) \) \(\left(k+ \frac{1}{k} \right)\left(k^4- \frac{1}{k^4} \right)\) is \(k^{16}- \frac{1}{k^{16}}\).
Given below is a question followed by two statements I and II. Read both statements carefully to decide which one of them is sufficient to answer the question.
Six people - A, B, C, D, E and F are sitting in a straight line facing north. Who sits to the immediate left of D?
(I) A sits second from one of the extreme ends of the line. Only two people sit between A and B. E sits to the immediate right of C.
(II) C sits third from the left end of the line. Only one person sits between C and F. E sits third to the right of F.
Please read the below equation and select an appropriate option from the following.
x + y = 10 ; y = x - 2
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Quantity B is y.
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A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter.
B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg.
C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg.
D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
Question:
When is Yuvi's wedding anniversary?
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1: On the 7 th day of a month.
2. The month has 29 days only in a leap year.
