# Quantitative Quiz - Competitive Exams - 8

Direction (1-3): Each of these questions is followed by two statements, labelled I and II, in which certain data are given. In these questions you do not actually have to compute an answer, but rather you have to decide whether the data given in the statements are sufficient for answering the given questions. Using the data given in the statements plus your knowledge of Mathematics and everyday facts (such as the number of days in a month) you are to choose your answer as:

(1) if the statement I alone is sufficient but statement II alone is not sufficient to answer the question ;
(2) if the statement II alone is sufficient but statement I alone is not sufficient to answer the question ;
(3) if both the statements I and II together are sufficient to answer the question asked but neither of the statements alone is sufficient.
(4) if the statements I and 11 together are not sufficient to answer the question asked and additional data specific to the problem are needed.
(5) if either I or II is sufficient to answer the question

1.   How much time will a computer need to solve 150 problems?
I. The computer needs 50 seconds to solve the first problem.
II. A man needs 6 hours to solve 150 problems.

2.  What is the density (weight divided by volume) of the moon rock Lunite?
I. The only known sample has a volume of 18 cubic centimetres.
II. The only known sample weight is 190.

3.   What is the average profit per cow?
L The farmer had bought 6 cows for Rs 15,000.
II. The farmer sold 6 cows for Rs 24,000.

4.  Two equal sums were borrowed at 8% simple interest per annum for 2 years and 3 years, respectively. The difference in the interests was Rs 56. The sum borrowed were -
(1) Rs690
(2) Rs700
(3) Rs 740
(4) Rs 780
(5) None of these

5.  A machine is sold at a profit of 10%. Had it been sold for Rs. 80 less, there would have been a loss of 10%. The cost price of the machine is
(1) Rs. 350
(2) Rs. 400
(3) Rs. 450
(4) Rs. 520
(5) None of these

6.  A jar of oil was four fifths full. When six bottles of oil were taken out and four bottles of oil were poured into, it was three fourths full. How many bottles of oil were contained by the jar?
(1) 10
(2) 20
(3) 30
(4) 40
(5) None of these

7. During a journey of 80 km a train covers first 60 km with a speed of 4O km/h and completes the remaining distance with a speed of 20 km/h. What is the average speed of the train during the whole journey?
(1) 30km/h
(2) 32 km/h
(3) 36 km/h
(4) 40km/h
(5) None of these

8.  In an examination 35% of the candidates failed in one subject and 42% failed in another subject. While 15% failed in both the subjects. If 2500 candidates appeared at the examination, how many students passed in either subject but not in both?
(1) 325
(2) 1175
(3) 2125
(4) 1230
(5) None of these

9.  If the length of a certain rectangle is decreased by4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. The perimeter of the original rectangle (in centimetres) is:
(1) 44
(2)46
(3)48
(4) 50
(5) None of these

10.   6 men can complete a piece of work in 20 days. In how many days will 8 men complete the same piece of work?
(1) 12 days
(2) 14 days
(3) 15 days
(4) 16 days
(5) None of these