Quantitative Aptitude Quiz – 79 (DI & DS)

Directions(Q.1 – 4): Study the following graph carefully and answer the questions below it.

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1. If the expenditures of companies A and B in 2007 were equal and the total income of the two companies was Rs.48.8 lakh, what was the total expenditure of the two companies in 2007 ?
a) Rs.32 lakh
b) Rs.26 lakh
c) Rs.18.2 lakh
d) Can’t be determined
e) None of these

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Answer a) Rs.32 lakh
Explanation:
Income of A–> 140%
Income of B–> 165%(140 + 165)% = 48.8 lakh
Total expenditure 200% = 48.8/305 * 200 = Rs.32 lakh.

2. If the incomes of company B in 2004 and 2005 were in the ratio 3 : 5 respectively, What was the ratio of the expenditures of that company in these 2 yr ?
a) 4 : 15
b) 7 : 12
c) 9 : 16
d) 10 : 14
e) None of these

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Answer c) 9 : 16
Explanation:
I1 / I2 = (X * 160%) / (Y * 150%) = 3/5 => X/Y = 3/5 * 15/16 = 9/16.

3. Expenditures of Company B in 2003 and 2004 are Rs.25 lakh and Rs.30 lakh, respectively. What was the total income of Company B in 2003 and 2004 together ?
a) Rs.74.8 lakh
b) Rs.85.5 lakh
c) Rs.68.4 lakh
d) Rs.78.5 lakh
e) None of these

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Answer b) Rs.85.5 lakh
Explanation:
Let expenditure = 100%
Income in 2003 = 150%
Hence, B’s expenditure in 2003
=>100% = 25 lakh =>150% = 25/100 * 150 = Rs.37.5 lakh
B’s expenditure in 2004
=>100% = Rs.30 lakh =>160% = 30/100 * 160 = Rs.48 lakh
So, Total income = 37.5 + 48 = Rs.85.5 lakh.

4. Total expenditure of Company A in all the years together was Rs.76.5 lakh. What was the total income of the Company in all the years together ?
a) Rs.98.5 lakh
b) Rs.89.3 lakh
c) Rs.92.6 lakh
d) Can’t be determined
e) None of these

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Answer d) CND
Explanation:
Since, relation of expenditure of A in all the given years is not given, hence income can’t be determined.

Directions(Q.5 – 10): In each of the following questions, a question followed by two Statements I and II are given. You have to read both the statements and then

Give Answer
a) If the data given in Statement I alone are sufficient to answer the question whereas the data given in Statement II alone are not sufficient to answer the question.
b) If the data given in Statement II alone are sufficient to answer the question whereas the data given in Statement I alone are not sufficient to answer the question.
c) If the data in either Statement I alone or in Statement II alone are sufficient to answer the question.
d) If the data in both the Statement I and II are not sufficient to answer the question.
e) If the data given in both the Statement I and II are necessary to answer the question.

5. How many marks did Nigam get in Biology ?
I. Nigam got 42 marks in English which were half the marks he got in Biology.
II. Nigam’s marks in Biology were 14% of the total marks he got in all the subjects together.

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Answer a) I alone
Explanation:
From statement I, B/2 = 42 =>B = 84 marks.
In statement II total marks not given.

6. What is the two digit number ?
I. The difference between the two digits of the number is 0.
II. The sum of the two digits of the number is 18.

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Answer e) Both necessary
Explanation:
From statement I and II,
9 – 9 = 0 and 9 + 9 = 18
So, number = 99.

7. The symbol # represents one of the following operation addition, subtraction, multiplication or division. What is the value of 6 # 4 ?
I. 0 # 5 = 5.
II. 5 # 0 = 5.

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Answer a) I alone
Explanation:
from statement I,
0 # 5 = 5, means # represents addition.
=>6 # 4 = 10
from statement II,
5 # 0 = 5 means # represents addition or subtraction which is not unique.
Hence, I alone sufficient.

8. Last year an employee received an annual salary of Rs.618000 which was paid in equal pay cheques throughout the year. What was the salary received in each of the pay cheques ?
I. The employee received a total of 24 pay cheques during the year.
II. The employee received a pay cheque twice a month each month during the year.

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Answer c) Either
Explanation:
From statement I ir from statement II, it is clear that the employee received a total of 24 pay cheques.
Salary received per cheque = 618000/24 = Rs.25750.

9. Is the sum of integers X and Y is greater than 85 ?
I. The product of X and Y is greater than 85.
II. One of the variables is greater than 83.

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Answer e) Both necessary
Explanation:
From statement I, XY >= 85
from statement II, X > 83 or Y > 83 =>X + Y > 85.
Hence, both necessary.

10. In how many days can B alone complete the work ?
I. B and C together can complete the work in 8 days.
II. A and B together can complete the work in 12 days.

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Answer d) Together not sufficient
Explanation:
By statement I and II, we can get efficiency of (B + C) + (A + B) = A + 2B + C
Some other information are required to solve it, hence data in both the statement are not sufficient.

Best Wishes,
D2G’s Team..