Data Sufficiency Quiz 2015 – Set 3

Directions (Q. 1-5):
Each question below is followed by two statements I and II. You are to determine
whether the data given in the statement is sufficient to answer the question.
You should use the data and your knowledge of Mathematics to choose between the
possible answers.
Give answer
(a) if Statement I
alone is sufficient to answer the question, while Statement II alone is not
sufficient to answer the question.
(b) if Statement II
alone is sufficient to answer the question, while Statement I alone is not
sufficient to answer the question.
(c) if data either in
Statement I alone or in Statement II alone are sufficient to answer the
question.
(d) if both the
Statements I and II given together are not sufficient to answer the question.
(e) if both the
Statements I and II together are necessary to answer the question.
1. What is the
two-digit number?
I. Sum of two
digits of number is 12 and ratio between them is 2 : 1.
II. Product of
two digits of number is 32 and quotient of the two digits is 2
2. What is the
two-digit number?
I. Sum of digits
is equal to the difference between the digits.
II. Difference
between them is 4.
3. What was the ratio
of ages of B to C 5 years ago?
I. Ratio of
present ages of A to B is 3 : 2.
II. Ratio of
present ages of A to C is 4 : 3.
4. What percentage of
A’s salary is B’s salary?
I. A’s salary is
50% of C’s salary.
II. B’s salary is
40% of C’s salary.
5. What is the ratio
of the number of black and white balls in a bag?
I. Number of
black balls is 5 more than the number of white balls.
II. Number of
white balls is 80% of the number of black balls.

Solutions:

1. Data given in both statements together are not sufficient
to answer the question. As by these data we find two numbers 48 and 84, but we
cannot find the exact number.
2. Both of the statements are required to answer the
question.
From  statement  I 
we  can  say 
that  one  digit 
should  be ‘0’. As 20, 30, 40, 50,
….
From statement II: Difference is 4. So the number is 40.
3. Data in both the statements together are not sufficient
to answer the  question.
4. A = C/2
B = 2C/5
Let x% of A’s salary be B’s salary.
X/100 x A = B
So, X = 100B/A
So 100x2C/5 / C/2
= 200C/5 x 2/C = 80%
5. Statement II alone is sufficient.
W = 80B/100 = 4B/5
So B : W = 5:4

Books For 2015 Banking/Insurance Exams