Data Sufficiency Question 46

Directions : Each of the questions given 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 sufficient to answer the question. Read both the statements and

(IBPS Specialist Officer (IT) CWE 14.02.2016)

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.

  1. Shopkeeper gained how much profit by selling his products in November 2016 ?

Statements :

I. He earned $40 %$ more profit in December 2016 as compared to October 2016.

II. In December 2016 he earned $10 %$ more profit than in November 2016.

III. The total profit earned in November 2016 and October 2016 was Rs. 55,000 .

(1) Only I and III

(2) Only II and III

(3) Only I and II

(4) All I, II, and III

(5) All statements are not sufficient to answer the question

Show Answer

Correct Answer: 46. (5)

Solution: 46. (5) Let the radius of the base of the cylinder be $r \mathrm{~cm}$ and height be $h \mathrm{~cm}$.

From statement I,

$\pi r^{2}=154$

$\Rightarrow \frac{22}{7} \times r^{2}=154$

$\Rightarrow r^{2}=\frac{154 \times 7}{22}=7 \times 7$

$\therefore r=7 \mathrm{~cm}$.

From statement II,

$\pi r^{2} h=1232$

$\Rightarrow \frac{22}{7} \times 7 \times 7 \times h=1232$

$\Rightarrow h=\frac{1232}{22 \times 7}=8 \mathrm{~cm}$.

$\therefore$ Curved surface area $=2 \pi r h$

$=2 \times \frac{22}{7} \times 7 \times 8=352$ sq.cm.