Data Sufficiency Question 72
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 is sufficient to answer the question. Read both the statements. (IBPS SO (Agriculture) Exam, 29.01.2017)
Give answer (1) if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
Give answer (2) if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
Give answer (3) if the data in statement I alone or in statement II alone is sufficient to answer the question.
Give answer (4) if the data in both the statements I and II is not sufficient to answer the question.
Give answer (5) if the data in both the statements I and II together is necessary to answer the question.
- What is M’s mother’s present age? (in years)
I. The respective ratio between M’s father’s present age and M’s present age is $7: 2$.
II. The combined present age of M’s father and $M$ is 6 years more than the combined present age of M’s mother and M. 12 years ago, M’s father’s age that
time was $1 \frac{1}{4}$ times M’s mother’s age that time
Show Answer
Correct Answer: 72. (2)
Solution: 72. (2) From statement II,
M’s father’s present age
$=a$ years (let)
M’s mother’s present age
$=b$ years (let)
M’s present age $=c$ years
$\therefore a+c=b+c+6$
$\Rightarrow a=b+6$
12 year’s ago,
$a-12=\frac{5}{4}(b-12)$
$\Rightarrow b+6-12=\frac{5}{4}(b-12)$
$\Rightarrow b-6=\frac{5}{4}(\mathrm{~b}-12)$
$\Rightarrow 4 b-24=5 \mathrm{~b}-60$
$\Rightarrow 5 b-4 b=60-24$
$\Rightarrow b=36$ years
BETA
