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In this section, you can find numerous aptitude questions with answers and explanation. The quantitative aptitude questions with answers mentioned above covers various categories and extremely helpful for competitive exams. All the answers are explained in detail with very detailed answer descriptions.

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Anil
2015-04-09 13:59:29 
1) A water tank is hemispherical below and cylindrical at the top. If the radius is 12m and capacity is 3312*pi cubic metre the height of the cylindrical portion in metres is:

2) If three metallic spheres of radii 6 cms, 8 cms and 10 cms are melted to from a single sphere, the diameter of the new sphere will be:

3) Sixty men can build a wall in 40 days, but though they begin the work together, 5 men quit every ten days. The time needed to build the wall is:

4) Shyam is travelling on his cycle and has calculated to reach point 'A' at 2 PM If he travels at 10 kmph. he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach point 'A' at 1 PM:

5) An aeroplane travelling at 700 km. p. h. in level flight drops a bomb from a height of 1000 metres on a target. The time taken from releasing the bomb to hitting the target is nearest to the figure:

6) In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks. What was the average marks of the remaining students of the class
(0) (0) Reply
rugmani
2015-06-04 17:15:41 
A water tank is hemispherical below and cylindrical at the top. If the radius is 12m and capacity is 3312*pi cubic metre the height of the cylindrical portion in metres is:        

Solution

Let h be the height.

Volume 3312 pi = 12*12 pi h + 2/3*pi* 12*12*12

Dividing this by 12*12 pi

23 = h + 2/3*12
23- 8 = h
ie., h = 15

Is it not the correct answer? whether this answer has been given ?
(0) (0) Reply
sagar
2015-07-04 03:46:50 
Yes
(0) (0) Reply
rugmani
2015-06-04 17:10:08 
Ques No.2
Let the radii of the 3 spheres be r1, r2 and r3
r1 =6, r2 = 8 and r3= 10

let the radius of the  new sphere formed after melting the above 3 spheres be r. the volume of the new sphere will be the total volume of the 3 spheres with radius r1, r2 and r3

ie., 4/3 pi r cube = 4/3 pi ( r1 cube+r2 cube+r3 cube)

dividing by 4/3 pi
r cube  = r1 cube+r2 cube+ r3 cube  = 6*6*6 + 8*8*8 + 10*10*10 = 216+512+1000 =1728

Since 12* 12*12= 1728
r = 12
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Rex Roy
2015-06-01 11:18:59 
2>4/3*22/7*a3+4/3*22/7*b3+4/3*22/7*c3=4/3*22/7*R3
4/3*22/7*(a3+b3+c3)=4/3*22/7*R3
63+83+103=R3
R3=1738
R=12
(0) (0) Reply
Dibyayan
2015-05-23 16:39:15 
4.  12km/hr
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Pinky Rambo
2015-04-24 15:58:04 
6) let no. of students =100

total marks of all students = 80 *100 = 8000 no. of students

10% students scored= 95 marks
total marks of 10% students = 95 * (10/100*100) = 950

similarly,

total marks of 20% students = 90*20 = 1800

marks of remaining students = 8000-1800-950 = 5250 which are the total marks of remaining students

remaining students = 70

Av. of remaining= 5250/70
= 75 ANS.

(0) (0) Reply
richard
2015-04-07 18:47:09 
equilateral triangle is increasing at a rate of √3 cm/min. find the rate at which its area increasing when its edge is 12 cm long.
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Dev
2015-04-07 18:59:34 
Assuming that the question says each side of equilateral triangle is increasing at a rate of √3 cm/min

area of an equilateral triangle, A = √3a^2/4 where a is the length of a side
Area as a function of x, A(x) = √3a^2/4
A'(x) = √3a/2

when a=12, A'(x) = √3 * 12/2 = 6√3
Required rate = 6√3 cm2/min
(0) (0) Reply
ananya
2015-05-18 06:31:56 
i didnt got how u solved it....plz explain a bit more
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