Data Sufficiency Question 49
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.
- 5 students $P, Q, R, S$ and $T$ were standing according to their heights with the shortest one being at the left most corner and highest one being at the right end. I. $Q$ was standing between $R$ and P. S was standing at the right end of the line.
II. T did not have the greatest height of all. P had more height than only $R$ and $Q$.
III. R, Q, P all were shorter than T. Who was the 4th highest among all five students?
(1) Statement I and II together are sufficient
(2) Statement II and III together are sufficient
(3) Either statement I and statement III together or statement II is sufficient
(4) All the statements I, II and III together are sufficient
(5) None is sufficient (SBI PO Phase-II (Main) Exam 05.08.2018)
Show Answer
Correct Answer: 49. (5)
Solution: 49. (5) From statement I,
Juice = 8 x litres
Water = 3 x litres
From statement II,
In 11 litres of solution,
Juice = 8 litres
Water = 3 litres
$\therefore \frac{8 x-8+6}{3 x-3}=\frac{10}{3}$
$\Rightarrow 24 x-6=30 x-30$
$\Rightarrow 30 x-24 x=30-6$
$\Rightarrow 6 x=24$ $\Rightarrow x=4$
$\therefore$ Initial amount of mixture
$=11 \times$ litres $=44$ litres
BETA
