Data Sufficiency Question 13

Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and

(IDBI Bank Officer Exam. 16.09.2012)

Give answer (1) if the data in Statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Give answer (2) if the data in Statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

Give answer (3) if the data in either Statement I alone or in statement II alone are sufficient to answer the question.

Give answer (4) if the data in both the Statements I and II are not sufficient to answer the question.

Give answer (5) if the data in both the Statements I and II together are necessary to answer the question.

  1. Whose body weight is second highest among the five boys Arun, Vinay, Suraj, Raju and Pratap?

I. Average weight of Arun, Suraj and Vinay is $68 kg$ and average weight of Raju and Pratap is $72 kg$. Also Suraj is $78 kg$, Raju is $68 kg$ and Binay is $46 kg$.

II. Average weight of Arun, Suraj, Vinay and Raju is 68 $kg$ and also Suraj is $78 kg$, Raju is $68 kg$ and Vinay is $46 kg$. All of them have different weight.

Show Answer

Correct Answer: 13. (5)

Solution:

  1. (5) From statement I,

Arun + Vinay + Suraj + Raju + Pratap

$=68 \times 3+72 \times 2$

$=204+144=348 \mathrm{~kg}$

$\therefore$ Arun + Pratap $=348-78-68$

$-46$

$=156 \mathrm{~kg}$

From statement II,

Arun + Suraj + Vinay + Raju

$=68 \times 4=272 \mathrm{~kg}$

$\therefore$ Pratap $=348-272=76 \mathrm{~kg}$

Arun $=156-76=80 \mathrm{~kg}$

Clearly, weight of Suraj is the second biggest.