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Quantitative Aptitude questions and answers for competitive exams
2022-03-30 18:08:52
- Pinnacle Admin
Quantitative Aptitude is a very important part of competitive exams because Quantitative Aptitude Questions and answers are asked in competitive exams. If you are prepared for any types of competitive exams SSC, Bank, and Railway you can command on Quantitative Aptitude .I have prepared this blog to increase your Quantitative Aptitude level as well as increase your confidence level for competitive exams.
Find the important Quantitative Aptitude question answers for those learners who are preparing for competitive exams. Click here to join Pinnacle Coaching in Noida to obtain good marks in the competitive exams.
1. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A. 3.6
B. 7.2
C. 8.4
D. 10
Answer: Option B
Explanation:
|
Speed = |
|
600 |
m/sec. |
|
5 x 60 |
= 2 m/sec.
Converting m/sec to km/hr
|
= |
|
2 x |
18 |
|
km/hr |
|
5 |
= 7.2 km/hr.
2 An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:
A. 300 kmph
B. 360 kmph
C. 600 kmph
D. 720 kmph
Answer: Option D
Explanation:
Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1
hours as 5/3 hours]
|
|
|
1200 x |
3 |
|
= 720 km/hr. |
km/hr
3 If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
A. 50 km
B. 56 km
C. 70 km
D. 80 km
Answer: Option A
Explanation:
Let the actual distance travelled be x km.
|
Then, |
x |
= |
x + 20 |
|
10 |
14 |
14x = 10x + 200
4x = 200
x = 50 km.
4
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
A. 100 kmph
B. 110 kmph
C. 120 kmph
D. 130 kmph
Answer: Option C
Explanation:
Let speed of the car be x kmph.
|
Then, speed of the train = |
150 |
x |
= |
|
3 |
x |
|
|
100 |
2 |
|
|
75 |
- |
75 |
= |
125 |
|
x |
(3/2)x |
10 x 60 |
|
|
75 |
- |
50 |
= |
5 |
|
x |
x |
24 |
|
|
|
25 x24 |
|
= 120 kmph. |
|
5 |
5
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A. 9
B. 10
C. 12
D. 20
Answer: Option B
Explanation:
Due to stoppages, it covers 9 km less.
|
Time taken to cover 9 km = |
|
9 |
x 60 |
|
= 10 min. |
|
54 |
6 In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours
Answer: Option A
Explanation:
Let the duration of the flight be x hours.
|
Then, |
600 |
- |
600 |
= 200 |
|
x |
x + (1/2) |
|
|
600 |
- |
1200 |
= 200 |
|
x |
2x + 1 |
x(2x + 1) = 3
2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr. [neglecting the -ve value of x]
7 A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
A. 220 km
B. 224 km
C. 230 km
D. 234 km
Answer: Option B
Explanation:
|
(1/2)x |
+ |
(1/2)x |
= 10 |
|
21 |
24 |
|
|
x |
+ |
x |
= 20 |
|
21 |
24 |
15x = 168 x 20
|
|
|
168 x 20 |
|
= 224 km. |
|
15 |
`8 The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A. 70 km/hr
B. 75 km/hr
C. 84 km/hr
D. 87.5 km/hr
Answer: Option D
Explanation:
Let the speed of two trains be 7x and 8x km/hr.
|
Then, 8x = |
|
400 |
|
= 100 |
|
4 |
|
|
|
100 |
|
= 12.5 |
|
8 |
Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.
9.A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
A. 35.55 km/hr
B. 36 km/hr
C. 71.11 km/hr
D. 71 km/hr
Answer: Option C
Explanation:
|
Total time taken = |
|
160 |
+ |
160 |
|
= |
9 |
hrs. |
|
64 |
80 |
2 |
|
|
|
320 x |
2 |
|
= 71.11 km/hr. |
|
9 |
10 A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.
A. 17 (6/7) km/hr
B. 25 km/hr
C. 30 km/hr
D. 35 km/hr
Answer: Option D
Explanation:
|
Time taken = 1 hr 40 min 48 sec = 1 hr 40 |
4 |
min = 1 |
51 |
hrs = |
126 |
hrs. |
|
5 |
75 |
75 |
Let the actual speed be x km/hr.
|
Then, |
5 |
x x |
126 |
= 42 |
|
7 |
75 |
|
|
|
42 x 7 x 75 |
|
= 35 km/hr. |
|
5 x 126 |
