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▲)

The line graph given below shows the percentage of candidates qualified in the examination during the given period.

(Click here to load Line 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 the following questions two equations numbered I and II are given. You have to solve both the equations and Give answer
(1) x > y
(2) x ≥ y
(3) x < y
(4) x ≤ y
(5) x = y or the relationship cannot be established.
Q6.
I. x² – 1 = 0
II. y² + 4y + 3 = 0

Q7.
I. x² – 7x + 12 = 0
II. y² – 12y + 32 = 0

Q8. 75% of a number is equal to three-seventh of another number. What is the ratio between the first number and the second number respectively ?
1. 4 : 7
2. 7 : 4
3. 12 : 7
4. 7 : 12
5. None of these

Q9. A 275 metre long train crosses a platform of equal length in 33 seconds. What is the speed of the train in kmph ?
1. 66
2. 60
3. 64
4. 72
5. None of these

Q10. The value of a machine depreciates every year by 10%. If its present value is 50,000 then the value of the machine after 2 is
1. 40,000
2. 45,000
3. 40,005
4. 40,500
5. None of these

Solutions:

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. 2)
X = +- 1
Y = -3, -1

Q7. 4)
X = 4, 3
Y = 8, 4

Q8. 1)
Let the number be x and y
Now, according to the question,
x * 75/100 = Y *3/7
or x/y = 3/7 *100/75
= 4/7

Q9. 2)
Distance = 2 * 275 = 550m and
Time = 33sec
Speed of the train = 550/33 * 18/5
= 60km/hr

Q10. 4)
40500