Problem Solving

1) Peter got 30%, of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What was the passing marks in the examination?

Possible AnswersSelected Possible Answer
A. 75

B. 250

C. 35

D. 85

E. 65

2) In an election contested by two parties, Party D secured12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?

Possible AnswersSelected Possible Answer
A. 24,000

B. 36,000

C. 168,000

D. 300,000

E. 20,000

3) A shepherd has 1 million sheep at the beginning of Year 2000. The numbers grow by x%(x>0) during the year. A famine hits his village in the next year and many of his sheep die. The sheep population decreases by y% during 2001 and at the beginning of 2002 the shepherd finds that he is left with 1 million sheep. Which of the following is correct?

Possible AnswersSelected Possible Answer
A. y > x

B. x = y

C. x > y

D. x * y = 0

E. Cannot be determined

4) If the price of petrol increases by 25% and Kevin intends to spend only an additional 15% on petrol, by what percentage must he reduce the quantity of petrol purchased?

Possible AnswersSelected Possible Answer
A. 6.67%

B. 12%

C. 10%

D. 8%

E. 14%

5) A candidate who gets 20%marks fails by 11 marks but another candidate who gets 42% marks gets 22 marks more than the passing marks. Find the maximum marks.

Possible AnswersSelected Possible Answer
A. 150

B. 50

C. 100

D. 200

E. 250

6) A vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. Next day he sells 50 percent of the remainder and throws away the rest. What percent of his apples does the vendor throw?

Possible AnswersSelected Possible Answer
A. 23

B. 17

C. 77

D. 29

E. None of these

7) 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?

Possible AnswersSelected Possible Answer
A. 70%

B. 15%

C. 80%

D. 20%

E. 90%

8) If the price of petrol increases by 25%, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?

Possible AnswersSelected Possible Answer
A. 20%

B. 16.67%

C. 25%

D. 33.33%

E. 30%