Practice Quantitative Aptitude Questions For SBI PO Prelims& NIACL 2017 (Application Problems)

Practice Quantitative Aptitude Questions For SBI PO Prelims& NIACL 2017 (Application Problems):

Dear Readers, Important Practice Aptitude Questions for Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the Bank Examination and other Competitive Examination can use this.

1). A train running at a speed of 194.4 kmph passes a man walking in opposite direction at the speed of 6 m/sec in 15 seconds. What is the length of the train?
a)  600m
b)  800m
c)  900m
d)  1000m
e)  1080m
 
2). A man takes a total of 6 hours 30 minutes by walking to a certain place and coming back by cycle. He would have gained 1 hour 30 minutes by cycling both ways. The time he would take to walk both ways is
a)  8 hours
b)  7 hours
c)  10 hours
d)  12 hours
e)  6.5 hours
 
3). A person travelled a distance of 30 km in 8 hours. He travelled partly on foot at the rate of 3 kmph and partly on bicycle at the rate of 5 kmph. The distance travelledon foot is
a)  14 km
b)  15 km
c)  16 km
d)  17 km
e)  20 km
 
4). A barrel contains 56 litres of kerosene. It has two taps. One tap draws 500 ml every 6 minutes. After first 5 litres are drawn from the barrel, the second tap also starts. It draws 1 litre in every 5 minutes. How many hours will be taken in all to empty the tank?
a)  7 hours
b)  3 hours
c)  4 hours
d)  11 hours
e)  10.5 hours
 
5). A can do a piece of work in 7 days working 9 hours everyday and B can do it in 6 days working 7 hours everyday. How long will they take to do the work  together, working 8 2/5 hours per day?
a)  3 days
b)  4 days
c)  4 1/2 days
d)  5 days
e)  6 days
 
6). Sohan is half as good a workman as Pratap and together they finish a piece of work in 24 days. The number of days taken by Sohan alone to finish the work is
a)  24 days
b)  36 days
c)  72 days
d)  48 days
e)  32 days
 
7). A wire is moulded into a circle of radius 14 cm. Then the wire is bent and shaped into a rectangle of length 24m. Find the area of the rectangle thus formed.
a)  188m2
b)  180m2
c)  360m2
d)  480m2
e)  380m2
 
8). A rectangle with a diagonal of length 14m is inscribed in a circle. Find the area of the circle.
a)  88 cm2
b)  154 cm2
c)  216 cm2
d)  72 cm2
e)  132 cm2
 
9). A rectangular field which is 16m long and 12m wide has two paths, each 4m wide, running in the middle of it, one parallel to the length and another parallel to the breadth. Find the area of the two paths.
a)  48m2
b)  96m2
c)  112m2
d)  16m2
e)  54m2
 
10). The volume of a cylinder is 450 cubic cm. Find the volume of the cone, if the base and the height of the cone and the cylinder are the same.
a)  120 cm3
b)  150 cm3
c)  255 cm3
d)  450 cm3
e)  460 cm3
 
Explanation With Answers Key:
 
1). C)Relative speed = [194.4 × (5/18) + 6]
 = 60m/sec
Time = 15 seconds
 Length of the train = 60 × 15 = 900 metres
 
2). A)By cycling + by Walking = 6 hours 30 minutes …….(i)
One way by cycling
= (6 hours 30 minutes —1 hour 30 minutes) / 2
= 2 hours 30 minutes
By walking both ways = 2(6 hours 30 minutes — 2 hours 30 minutes) = 8 hours
 
3). B)Let the distance travelled on foot be x km.
Then, (x/3) + x (30—x) / 5 = 8
or, 5x + 3(30 – x) = 120
x = 15 km
 
4). C)Tap A’s capacity = (500 x 60) / 6
= 5000 ml = 5 litres per hour
Tap B’s capacity = (1 x 60)/5
= 12 litres per hour
Time = (5/5)+ (56— 5) / (12+5) = 1+3 Times = 4 hours
 
5). A)Time taken by A = 7 x 9 = 63 hours
and time taken by B = 6 x 7 = 42 hours
Now, (A + B)’s 1 hour’s work
= (1/63) + (1/42) = 5/126
Number of days of 8 2/5 hours each is
(126/5) × (5/42) =3 days
 
6). C)Pratap’s 1 day’s work = 1/x
Sohan’s 1 day’s work = 1/2x
Then, (1/x) + (1/2x) = (1/24)
2x/3 = 24
X = 36 days
Sohan alone can complete the work in 2 x 36 = 72 days
 
7). D)Perimeter of the rectangle
= 2ᅲr = 2 x (22/7)x14 = 88m
Area of the rectangle = 24 x (88/2) – 24
= 480m2
 
8). B)Diameter of the circle = Diagonal of the rectangle
Area = ᅲ/4 D2 = (22/7)× (14×14)/4 = 154 cm2
 
9). B)

 

Area of path = Area of AI3CD + Area of EFGH — Area of PQRS
= 12 x 4 + 16 x 4 — 4 x 4 = 96m2
 
10). B)Volume of the cone
=  1/3 x Volume of the cylinder = 1/3 x 450

 

= 150 cm
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