A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question. Among H, I, J, K, and L, who is the tallest? (I) J is taller than H and I but shorter than K. (II) L is shorter than K but taller than J.
Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
In a data-sufficiency question we do not need to find the full order — only whether the given statements let us identify the tallest among H, I, J, K and L. The method is to test each statement alone first, and only then test them together, writing the comparisons as inequalities (using > for "taller than").
Statement I: "J is taller than H and I but shorter than K." This gives K > J > H and K > J > I, i.e. the chain K > J > (H, I). Here K is taller than J, H and I — but this statement says nothing about L. L could be taller than K or shorter, so we cannot be sure who is tallest. Statement I alone is not sufficient.
Statement II: "L is shorter than K but taller than J." This gives K > L > J. This tells us K beats L and J, but it says nothing about H and I, either of whom might be taller than K. Statement II alone is not sufficient.
Combining I and II: From I, K > J > H and K > J > I; from II, K > L > J. Putting them together, everyone — L, J, H and I — is shorter than K:
K > L > J > (H, I)
So K is the tallest. This conclusion needs both statements: Statement I supplies K's superiority over J, H and I, while Statement II is needed to place L below K. Neither statement alone covers all four rivals. Therefore the correct answer is that both statements together (and not either one alone) are sufficient.
Similar Questions
- A question and three statements labelled (I), (II) and (III) are given. You have to decide which statement(s) is/are sufficient to answer the question.
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I. A is taller than E but shorter than D.
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Question:
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What is Preetee's age?
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Who ranked first in the class?
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Question:
In a certain code language, 'pu ma kas' means 'we eat mangoes'. What is the code of 'mangoes'?
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I. 'la ti kas' means 'we are graduate'.
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What will be the total price of 10 chairs, each of which is of the same price?
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I. One-fourth of the price of each chair is ₹140.
II. The total price of 3 chairs is ₹560 more than the total price of 2 chairs. 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?
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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
Quantity A is x.
Quantity B is y.
A lady wants to buy the following items in the given price range-
1. Tomato between Rs. 40 and Rs. 45 per kg.
2. Grapes in the price range of Rs. 80 and Rs. 90 per kg.
3. Milk packets at Rs. 23 per liter.
In which shop from the following will she definitely get all her items/
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?
Statements:
1: On the 7 th day of a month.
2. The month has 29 days only in a leap year.
