Data Sufficiency Question 54
There are 4 consecutive positive numbers. What is the sum of the squares of the 2nd and 4th numbers in ascending order?
Statement-I : The sum of the square of all the 4 numbers is 446.
Statement-II : The difference between the square of 1st and 3rd number is 40 .
(1) The data in statements I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
(2) The data in statements II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
(3) Either Statement I or Statement II alone is sufficient to answer the question
(4) The data in both the statements I and II are not sufficient to answer the question
(5) The data in both the statements I and II together are necessary to answer the question
SBI PO Main Exam, 20.07.2019
Show Answer
Correct Answer: 54. (5)
Solution: 54. (5) From either statement,
$A=P\left(1+\frac{R}{100}\right)^{T}$
$\Rightarrow 14400=10000\left(1+\frac{\mathrm{R}}{100}\right)^{2}$
$\Rightarrow \frac{144}{100}=\left(1+\frac{\mathrm{R}}{100}\right)^{2}$
$\Rightarrow\left(\frac{12}{10}\right)^{2}=\left(1+\frac{\mathrm{R}}{100}\right)^{2}$ $\Rightarrow 1+\frac{\mathrm{R}}{100}=\frac{12}{10}$
$\Rightarrow \frac{\mathrm{R}}{100}=\frac{12}{10}-1=\frac{1}{5}$
$\Rightarrow \mathrm{R}=\frac{2}{10} \times 100=20 %$ p.a.
BETA
