Dear Readers, SBI is conducting Online Examination for the recruitment of probationary officer. To enrich your preparation here we have providing new series of Pipes and Cisterns- Quantitative Aptitude Questions. Candidates those who are appearing in SBI PO Exam can practice these Quantitative Aptitude average questions daily and make your preparation effective.
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Answers:
1). Answer d
C can empty the tank in = (21/70)*100= 30 hours
Total units of work= 300
A’s one hour work = 300/20 = 15 units
B’s one hour work = 300/25 = 12 units
C’s capacity to empty in one hour = 300/30 = 10 units
When three pipes are opened simultaneously then in one hour they will fill,
(15+12-10) = 17 units
In 12 hours they will fill = 17*12= 204 units
After 12hrs, C will be closed
Time taken by A& B to fill the remaining tank = 96/27 = 3 15/27 = 3 5/9 hours
Total time will be = 12 + 3 5/9 = 15 5/9 hours
2). Answer a
C can empty the tank in =18/60*100= 30 hours
Total units of work= 360
A’s one hour work= 360/18= 20units
B’s one hour work = 360/24= 15 units
C’s capacity to empty in one hour= 360/30= 12 units
When three pipes are opened simultaneously then in one hour they will
(20+15-12)=23 units
In 12 hours they will fill= 23*12= 276 units
After 12 hr, C will be closed
Time taken by A & B to fill the remaining tank = 84/35= 2 2/5 hours
Total time = 12 + 2 2/5 = 14 2/5 hours
3). Answer b
Three pipes A, B and C can fill a tank in 8 hours.
A, B and C’s 1 hour work=1/10
A, B and C’s 3 hour work= 3/10
Remaining work= 1 – (3/10) = 7/10
The remaining part will be filled by A and B in 14 hours. Then,
= > (7/10) *(A+B) = 14
= > (A+B)’s whole work= 14*(10/7) = 20 hr
(A+B)’s 1 hour work= 1/20
A, B and C’s 1 hour work = 1/10
C’s 1 hour work= (A+B+C) – (A+B)
= > (1/10) – (1/20)
= > 1/20
C can fill the tank in 20 hours.
4). Answer c
Total units of work= 90
A’s one hour work = 9
B’s one hour work = 6
C’s one hour work = 5
Work done by three pipes in 2 hours = 15 + 14 = 29 units
Work done in 6 hours= 29*3 = 87 units
Remaining will be done by pipe A and B = 3/15 = 1/5 hours
Total time required= 6 1/5 hours = 6 hours 12 mins
5). Answer d
Let capacity of tank = 90 lit (LCM of 10, 15, 18)
A fills 90/10 = 9 liter/hour
B fills 90/15 = 6 liter/hour
C empties 90/18 = 5 liter/hour
Till 10 am 9*3 + 6*1.5 = 27 + 9 = 36 liters
Remaining volume to be filled =90 – 36 = 54 liters
After 10 am, when all pipes are opened. 9 + 6 – 5= 10 liters/hr is filled.
Required time = 54/10 = 5 4/10 = 5 2/5 hour = 5 hour 24 min
6). Answer c
(x-3)/12 + (x-4)/16 + x/24 =1
(4x – 12 + 3x – 12 + 2x)/48 = 1
9x – 24 = 48
9x = 72
X = 8 min
7). Answer a
Let total capacity = 75 litres (LCM of 15 and 25)
A = 5 litres/min
B = 3 litres/min
A+B fill 75 litres
A can fill 5*5 = 25 litres in 5 min
But B was closed 5 min before the tank is filled. So A+B together filled (75-25) = 50 litres
50 litres can be filled by A + B in,
= > (50/8) = 6 1/4
Total time = 6 1/4 + 5 = 11 ¼ min
8). Answer d
B is 5/4 times as efficient as A. So,
A and B’s time =>5 : 4
A can fill the 3/5 of the tank in 15 min
=> (3/5) * work = 15 min
=> Whole work = 25 min
A takes 25 min to fill the tank, So, B takes,
=> 5’s =25
=>1’s = 5
B can fill the tank in, 20 min
B can fill the tank independently for 10 min only.
B’s 10 min work = 10/20 = 1/2
Remaining = 1- 1/2 = ½
Half of the tank will remain incomplete.
9). Answer b
(x – 4)/15 + (x – 5)/18 + x/20 =1
(12x – 48 +10x – 50 + 9x)/180 =1
31x – 98 = 180
31x = 278
X = 278/31 = 8 30/31 min
10). Answer c
If all the pipes are opened simultaneously, then in,
= > (1/15) + (1/18) – (1/20)
= > (12 + 10 – 9)/180
= > 13/180
Required hours = 180/13 = 13 11/13 hours
Daily Practice Test Schedule | Good Luck
Topic | Daily Publishing Time |
Daily News Papers & Editorials | 8.00 AM |
Current Affairs Quiz | 9.00 AM |
Quantitative Aptitude “20-20” | 11.00 AM |
Vocabulary (Based on The Hindu) | 12.00 PM |
General Awareness “20-20” | 1.00 PM |
English Language “20-20” | 2.00 PM |
Reasoning Puzzles & Seating | 4.00 PM |
Daily Current Affairs Updates | 5.00 PM |
Data Interpretation / Application Sums (Topic Wise) | 6.00 PM |
Reasoning Ability “20-20” | 7.00 PM |
English Language (New Pattern Questions) | 8.00 PM |
This post was last modified on November 20, 2021 8:43 am