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Question

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.
Q. Five students – Isha, Kavita, Meenal, Nisha, and Priti – scored different marks. 

Who scored the second highest?
(I) Meenal scored more than Isha but less than Nisha.
(II) Priti scored more than Meenal but less than Nisha.

The correct answer is
Both statements I and II together are NOT sufficient to answer the question

Given Statements:

I. Meenal scored more than Isha but less than Nisha.
II. Priti scored more than Meenal but less than Nisha.

Analysis:

Statement I alone → Not sufficient (Only partial order is known: Nisha > Meenal > Isha, but Kavita’s position is unknown, so second highest cannot be determined).

Statement II alone → Not sufficient (Only partial order is known: Nisha > Priti > Meenal, but Kavita’s position is unknown, so second highest cannot be determined).

Both statements I and II together → Not sufficient (Even after combining, Kavita can be placed at different positions, so the second highest scorer cannot be uniquely identified).

So, both statements I and II together are NOT sufficient to answer the question.

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Important Questions from Data Sufficiency (Notes)

  1. In light of the statements I and II choose the most appropriate option.
    If a group comprises of five persons A, B, C, D and E, then how many persons are taller than E?
    Statement (I) A is taller than B and B is shorter than A and E only.
    Statement (II) C is shorter than A and A is shorter than E.
  2. In light of the statements I and II choose the most appropriate option.
    Eight boxes- A, B, C, D, P, Q, R and S are stacked vertically but not necessarily in the same order. Which among them is kept immediately above R?
    Statement (I) Only three boxes are kept above D and only one box is kept between D and Q. Q is kept lower than D and is immediately below P.
    Statement (II) Only one box is kept between A and C. C is kept three boxes above Q. As many boxes are kept above B as are kept below R.
  3. A question along with a set of statements is given. Find which of the given statements is/are sufficient to answer the given question.
    Question:
    Find the perimeter of a triangle given that:
    Statements:
    I. Area of the triangle is 24 sq. units.
    II. Height of the triangle is 4 units.
  4. A question along with a set of statements is given below. We have to find which of the given statements is/are sufficient to answer the given question.

    Question : Find the area of the triangle PQR.
    Statements :
    I. PQ = 5 m., PR = 5 m.
    II. Length of PO is 4 m.

  5. Given below is a question followed by two statements, I and II, each containing some information. Decide which of the statements are sufficient to answer the question. The difference between father's age and son's age is 21 years now. What is the present age of the son? 
    Statements 
    I. After five years, the ratio of father's age to that of the son would be 5:2. 
    II. The sum of father's age and son's age after five years would be 66 years.

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