Dear Aspirants,
Q1. Pipes A and B can fill a tank in 5 and 6 hrs, respectively. Pipe C can empty it in 12 hrs. The tank is half full. All the three pipes are open simultaneously. After how much time the tank will be full?
Q4. The ratio between the speed of a SUV and a Tata Tiago is 16 : 15 respectively. Also a Omni Van covered a distance of 480 kms. In 8 hours. The speed of the Omni Van is three-forth the speed of the SUV. How much distance will the Tata Tiago in 6 hours ?
Q8. A man covers 1/3rd of his journey by cycle at 50 km/ h, the next 1/3 by car at 30 km/h, and the rest by walking at 7 km/h. Find the average speed during the whole journey.
of the number is ?
Quantitative Aptitude Quiz For IBPS PO/Clerk Prelims
Numerical Ability or Quantitative Aptitude Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Quantitative Aptitude quiz to help you practice with the best of latest pattern questions.
Q1. Pipes A and B can fill a tank in 5 and 6 hrs, respectively. Pipe C can empty it in 12 hrs. The tank is half full. All the three pipes are open simultaneously. After how much time the tank will be full?
Solution:
Q2. Two cars, an Alto and a Swift, start at the same time in opposite directions from two distinct points P and Q. Starting from P, the Alto reaches Q in 6 hrs 20 minutes and the Swift starting from Q, reaches Pin 4 hrs 45 minutes. What is the speed of the Swift, if the speed of the Alto is 60 Km/h? 110 Km/h
100 Km/h
90 Km/h
80 Km/h
50 Km/h
Solution:
Q3. Smriti drove at the speed of 45 kmph from home to a resort. Returning over the same route, she got stuck in traffic and took an hour longer; also she could drive only at the speed of 40 kmph. How many kilometres did she drive each way ? 250 kms
300 kms
310 kms
275 kms
360 kms
Solution:
Let time taken by him from home to resort is t hours
∴ 45t = (t + 1) × 40
⇒ t = 40/5
⇒ t = 8 hrs
∴ Required distance travelled by him each way
= 45 × 8
= 360 km
∴ 45t = (t + 1) × 40
⇒ t = 40/5
⇒ t = 8 hrs
∴ Required distance travelled by him each way
= 45 × 8
= 360 km
Q4. The ratio between the speed of a SUV and a Tata Tiago is 16 : 15 respectively. Also a Omni Van covered a distance of 480 kms. In 8 hours. The speed of the Omni Van is three-forth the speed of the SUV. How much distance will the Tata Tiago in 6 hours ?
450 km
480 km
360 km
Cannot be determined
None of these
Solution:
Q5. A man crosses a stationary bus in 18 seconds. The same bus crosses a pole in 4 seconds. What is the respective ratio between the speed of the bus and the speed of the man? 9 : 2
9 : 4
18 : 5
Cannot be determined
None of these
Solution:
Q6. Wheels of radius 7 cm and 14 cm start rolling simultaneously from X and Y, which are 1980 cm apart, towards each other in opposite directions. Both of them make same number of revolutions per second. If both of them meet after 10 seconds, the speed of the smaller wheel is 22 cm/s
44 cm/s
66 cm/s
132 cm/s
55 cm/s
Solution:
Q7. Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of journey did he travelled by auto if the average speed of the entire journey be 17 km/h: 750 km
100 km
150 km
200 km
500 km
Solution:
Let time taken by Pankaj during walking be t hours
∴ 5t + 25 [10 - t] = 17 × 10
⇒ 20t = 80
⇒ t = 4 hours
∴ Part of journey travelled by auto
= 25 × 6
= 150 km
∴ 5t + 25 [10 - t] = 17 × 10
⇒ 20t = 80
⇒ t = 4 hours
∴ Part of journey travelled by auto
= 25 × 6
= 150 km
Q8. A man covers 1/3rd of his journey by cycle at 50 km/ h, the next 1/3 by car at 30 km/h, and the rest by walking at 7 km/h. Find the average speed during the whole journey.
14.2 kmph
15.29 kmph
18.2 kmph
12.8 kmph
None of these
Solution:
Q9. One fill pipe A is 4 times efficient than second fill pipe B and takes 33 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together? 8.8 minutes
14 minutes
10 minutes
Data inadequate
None of these
Solution:
Q10. There are 8 filling pipes each capable of filling a cistern alone in 26 minutes and 6 emptying pipes each capable of emptying a cistern alone in 24 minutes. All pipes are opened together and as a result, tank fills 27 litres of water per minute. Find the capacity of the tank. 445 l
458 l
460 l
468 l
500 l
Solution:
Q11.Two pipes can fill a cistern in 16 and 24 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the cistern, it takes 144 minutes extra for the cistern to be filled up. When the cistern is full, in what time will the leak empty it ? 44 hr
48 hr
40 hr
52 hr
None of these
Solution:
Q12. A 180-metre long train crosses another 270-metre long train running in the opposite direction in 10.8 seconds. If the speed of the first train is 60 kmph, what is the speed of the second train in kmph? 80
90
150
Cannot be determined
None of these
Solution:
Q13. If one fifth of two third of one half of a number is 27, then findof the number is ? 231
81
135
396
45
Solution:
Q14. A tank is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the cistern is full, in how many hrs will the leak empty it ? 45 hr
50 hr
40 hr
35 hr
20 hr
Solution:
Q15. Three pipes A, B and C are connected to a tank. A and B together can fill the tank in 10 hours, B and C together in 15 hours and C and A together in 12 hrs. In how much time will pipe fill the tank together ? 8 hr
12 hr
11 hr
10 hr
5 hr
Solution:
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