Data Sufficiency Question 45
Directions : Each of the following questions consists of a question and two statements 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.
(BOB Junior Management
Grade/Scale-I Exam. 18.04.2015)
Mark answer (1) if the data either in statement I alone or in statement II alone are sufficient to answer the question.
Mark answer (2) if the data in both the statements I and II together are not sufficient to answer the question.
Mark answer (3) if the data in bith the statements I and II together are neccessary to answer the question.
Mark answer (4) 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.
Mark answer (5) 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.
- There are two cylindrical rollersbigger and smaller. How many rotations will the bigger roller take to flatten a stretch of land (X) ?
I. The respective ratio of the radii of the bigger and the smaller roller is $7: 3$. Both the rollers are of the same length.
II. The smaller takes 63 rotations to flatten the stretch of land (X).
Show Answer
Correct Answer: 45. (3)
Solution: 45. (3) From both statements, Radius of larger roller $=7 x$ units
Radius of smaller roller $=3 x$ units
Area flattened by smaller roller in 63 rotations
$=2 \pi \times 3 x \times l \times 63$
$\therefore 6 \times 63 \pi x l=2 \pi \times 7 x \times l \times n$
$n=\frac{6 \times 63 \pi x l}{2 \times 7 \times \pi x l}=27$