Quant Quiz

Directions (Q1. to Q5.): Answer the questions on the basis of the information given below.

The bar graph given below shows the number of candidates appeared (in thousands) in a competitive examination during the period 1997 to 2004.

(Click here to load Graph)

Q1. What was the ratio between the number of candidates appeared in 1997 and the number of candidates qualified in 2004?
1. 14 : 5
2. 5 : 14
3. 3 : 7
4. 7 : 3
5. None of these

Q2. In which of the following years was the number of candidates qualified in the competitive examination the lowest among the given years?
1. 1997
2. 2002
3. 2001
4. 1998
5. None of these

Q3. What was the percentage drop in the number of candidates appeared from the year 2002 to 2003?
1. 200/3%
2. 30%
3. 70%
4. 33%
5. None of these

Q4. How many candidates qualified in 2002?
1. 6750
2. 13500
3. 9900
4. 5750
5. None of these

Q5. The number of candidates qualified in 1999 was what percent of the number of candidates appeared in 1998?
1. 68.5%
2. 70%
3. 32.5%
4. 67.5%
5. None of these

Directions (Q6. to Q10.): In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly.

Q6. What will be the profit or loss percentage on selling apples?
I. There are a total of twelve apples.
II. Marked price of a dozen apples is 10 more than the selling price of a dozen apples.
III. Cost price is 20% less than the marked price of a dozen apples.
1. Only I and II
2. Only I and III
3. Only II and III
4. Only I and either II or III
5. Cannot be determined

Q7. There are 120 students in a class. What is the number of students who play Cricket, but do not play Football?
I. 75% students play Cricket and Football.
II. 80% students play Football.
III. 90% students play Cricket.
1. Only I and III
2. Only II and III
3. Only I and II
4. Only I and either II or III
5. None of these

Q8. What is the area of rectangle ABCD?
I. The length of the rectangle is twice its breadth.
II. If breadth is reduced by 2 units and length remains unchanged, then area of the rectangle gets reduced by 8 square units.
III. If length is doubled and breadth is halved, then area of the rectangle remains unchanged.
1. Only I
2. Only II
3. Only I and III
4. Only I and II
5. None of these

Q9. What is the monthly income of Mr. Rawat?
I. Mr. Joshi’s monthly income is twice that of Mr. Rawat.
II. Mr. Joshi’s monthly saving is thrice that of Mr. Rawat
III. Mr. Joshi’s monthly saving is twice of his expenditure and it is 32,000.
1. Only I and II
2. Only II and III
3. Only I and III
4. Either I or II and III
5. None of these

Q10. What is the sum of three positive integers ‘x’, ‘y’ and ‘z’?
I. x, y, z are in arithmetic progression.
II. z is 8 more than x.
III. Sum of x and z is 28.
1. Only I
2. Only II
3. Only I and III
4. Only II and III
5. None of these

Answers:

Q1. 2)
Number of Candidates appeared in 1997 = 5000
Number of Candidates appeared in 2004 = 35000
Number of candidates qualified in 2004
= 40% of 35000 = 350 * 40
Required Ratio = 5000/350 * 40
= 5/14 = 5 : 14

Q2. 1)
Qualified Candidates in respective years
In 1997, = 32.5 *5000/100 = 1625
In 1998, = 37.5 * 10000/100 = 3750
In 1999, = 30 * 22500/100 = 6750
In 2000, = 30 * 17500/100 = 5250
In 2001, = 32.5 * 27500/100 = 8937.5 approx 8938
In 2002, = 22.5 * 30000/100 = 6750
In 2003, = 35 * 20000/100 = 7000
In 2004, 40 * 35000/100 = 14000
Hence, it is the lowest in 1997

Q3. 5)
Required percentage = 30000 – 20000/30000 * 100
= 100/3%

Q4. 1)
Number of candidates qualified in 2002
= 30000 + 22.5/100
= 6750

Q5. 4)
Required percentage = 6750 * 100/10000 = 67.5%

Q6 – 5
Q7 – 1
Q8 – 4
Q9 – 3
Q10 – 3