Quantitative Aptitude Quiz Set-03

Quantitative Aptitude Quiz Set-03

 

 

 

Directions (Q1. to Q5.): The following Pie chart shows the hourly distribution (in degrees) of all the major activities of a student.

Hourly Distribution

Q1. The percentage of time, which he spends in school is
1. 38%
2. 30%
3. 40%
4. 25%
5. 35%

Q2. How much time (%) does he spend in games in comparision to sleeping?
1. 30%
2. 40%
3. 25%
4. 10%
5. None of these

Q3. If he spends the time in games equal to the home work and remains constant in other activities, then the percentage decrease in time of sleeping is
1. 15%
2. 12.5%
3. 20%
4. 28%
5. None of these

Q4. What is the difference in time (in hours) spent in school and in homework?
1. 2
2. 3
3. 4
4. 8
5. 10

Q5. If he spends 1/3rd time of homework in Mathematics, then the number of hours he spends in rest of the subjects in homework is
1. 1
2. 2
3. 3
4. 4
5. 5

Q6. In how many different ways can the letters of the word ‘REPLACE’ be arranged?
1. 2630
2. 5040
3. 1680
4. 2580
5. None of these

Q7. A particular sum was divided among A, B and C in the ratio of 2 : 6 : 7. If the amount received by A was 4908. What was the difference between the amounts received by B and C?
1. 2,454
2. 3,494
3. 2,135
4. 2,481
5. None of theses

Q8. A car covers a distance of 528km in a certain time at a speed of 66 km/hr. how much distance would a truck cover at an average speed which is 24 km/hr less than the speed of the car in a time which is 7 hours more than that taken by the car?
1. 336 km
2. 682 km
3. 598 km
4. 630 km
5. None of these

Q9. In order to pass in an examination, a student is required to get 342 marks out of the aggregate marks. Neha got 266 marks and was declared failed by 8 percent. What is the minimum pass percentage of the examination?
1. 28
2. 36
3. 33
4. 26
5. None of these

Q10. What should come in place of the question mark (?) in the following number series?
4, 9, 19, ?, 79, 159, 319
1 59
2 39
3 49
4 29
5 None of these

 SOLUTIONS 

Q1 2)
Required percentage = Angle of time spent in school/360 * 100%
= 105/360 * 100
= 30%

Q2. 3)
= angle of time spent i games/angle of time spent in sleeping * 100
= 30/120 * 100
= 25%

Q3. 2)
If the time spent in games by the student is equal to that of spent in homework, then angle of games is increased by 15 degree. Therefore, his time of sleeping is decreased by 15 degree.
Hence required %age = 15/120 *100 
= 12.5%

Q4. 3)
Required difference = difference of angle of school and homework/360 * 24
= 105 – 45/360 * 24
= 4 hours

Q5. 2)
Required time = 2/3 of time spent in homework
= 2/3 *45/360 *24
= 2 hours

Q6. 5)
The number of Letter in the word REPLACE = 7
The number of arrangement = 7!
But, ‘E’ comes twice.
So, number of arrangement = 7!/2!
= 3 * 4 * 5 * 6 * 7
= 2520

Q7. 1)
Let the amount received by A = 2X
B = 6X
C = 7X
Since 4908 is recieved by A
2X = 4908
X = 2454So, amount recieved by B = 14724
By C = 17178
Required Difference = 17178 – 14724 = 2454

Q8. 4)
Speed of the car = 66km/hr
Distance = 528km
Time = S/D 
= 528/66
= 8 hours
Now, Speed of truck = 66 – 24 = 42kmph
Time taken by the truck = 7 + 8 = 15 hours
So, distance = 15 * 42 = 630 km

Q9. 2)
Passing marks = 342
Neha failed by 342 – 266 = 76 marks
8% of aggregate marks = 76
aggregate marks = 76/8 * 100 = 950
Q10. 2)
The pattern is
4 * 2 + 1 = 9
9 * 2 + 1 = 19
19 * 2 + 1 = 39
39 * 2 + 1 = 79
79 * 2 + 1 = 159