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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

A Sphere is cut into two hemisphere. One of them is used as bowl. It takes 12 bowlfuls of this to fill a conical vessel of height 18cm and radius 6cm.Then the radius of the sphere will be

Correct

Explanation:
Volume of the conical vessel = 1/3πr2h = (1/3) π(36*18) = 216πcm3
Volume of hemisphere = 8*2/3πr3
216π = 12*2/3πr3
r3 = 216*3/12*2 = 27
r = 3

Incorrect

Explanation:
Volume of the conical vessel = 1/3πr2h = (1/3) π(36*18) = 216πcm3
Volume of hemisphere = 8*2/3πr3
216π = 12*2/3πr3
r3 = 216*3/12*2 = 27
r = 3

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

Arrange the following fraction in descending order: 3/7, 2/5, 4/11, 5/9 and 7/13

If a feast of 100 persons, 50 persons like coke, 60 persons like pepsi and 10 people like neither coke nor pepsi.Find the number of persons who likes coke and pepsi both

Correct

Explanation:
No of persons who likes both coke and pepsi = 50+60+10 – 100 = 120-100 = 20

Incorrect

Explanation:
No of persons who likes both coke and pepsi = 50+60+10 – 100 = 120-100 = 20

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

There are two examination halls A and B. If 10 students are sent from A to B, the number of students in both the halls are same. If 20 students are sent from B to A, then the no of students in A become twice the number of students in B. The number of students in A, B is

Correct

Explanation:
x-10 = y+10
x-y = 20…………….(1)
x+20=2(y-20)
x-2y=-60…………….(2)
solve (1) & (2)
2x-2y =40
x-2y=-60
we get x = 100, y = 80

Incorrect

Explanation:
x-10 = y+10
x-y = 20…………….(1)
x+20=2(y-20)
x-2y=-60…………….(2)
solve (1) & (2)
2x-2y =40
x-2y=-60
we get x = 100, y = 80

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

The compound Interest on a certain sum for two successive years are Rs.125 and Rs.136.75.The rate of interest per annum is

Correct

Explanation:
Difference = 136.75 – 125 = 11.25
SI on Rs.125 for 1 year = Rs.11.25
R = 11.25*100/125*1 = 9%

Incorrect

Explanation:
Difference = 136.75 – 125 = 11.25
SI on Rs.125 for 1 year = Rs.11.25
R = 11.25*100/125*1 = 9%

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

When one litre of water is added to a mixture of milk and water the new mixture contain 25% of milk. When one litre of milk is added to the new mixture the resulting mixture contains 40% milk. The Percentage of milk in the original mixture was

Correct

Explanation:
Let there be 1 litre of milk in 5 litres of mixture
% of milk = (1/3+1)*100 = 25%
Again one litre of milk is added to the mixture
= (1+1/4+1)*100 = 40%
% of milk in the original mixture = (1/3)*100 = 33(1/3)

Incorrect

Explanation:
Let there be 1 litre of milk in 5 litres of mixture
% of milk = (1/3+1)*100 = 25%
Again one litre of milk is added to the mixture
= (1+1/4+1)*100 = 40%
% of milk in the original mixture = (1/3)*100 = 33(1/3)

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Find the number of ways you can arrange the letters of word RAILWAY such that the vowels do not come in the beginning ?

Correct

Explanation:
Consonants can be selected from 4 consonants at the first place, so 4 choices
Now 6 letters left including two As, for that 6!/2 = 360
So total = 360*4

Incorrect

Explanation:
Consonants can be selected from 4 consonants at the first place, so 4 choices
Now 6 letters left including two As, for that 6!/2 = 360
So total = 360*4

A boat can travel 12km upstream in 40 minutes. If the speed of the current is 1/5 of the speed of the boat in still water, how much distance can the boat travel downstream in 30 minutes ?

Correct

Explanation:
Speed of the current = x/5kmph
Upstream speed = 4x/5
4x/5 *40/60 = 12 km
X = 12*5*60/40*4 =3600/40*4 = 22.5kmph
Speed of the current = 22.5/5 = 4.5kmph
Downstream speed = 22.5+4.5 = 27kmph
Distance travelled in 30min = 30/60*27 = 13.5km

Incorrect

Explanation:
Speed of the current = x/5kmph
Upstream speed = 4x/5
4x/5 *40/60 = 12 km
X = 12*5*60/40*4 =3600/40*4 = 22.5kmph
Speed of the current = 22.5/5 = 4.5kmph
Downstream speed = 22.5+4.5 = 27kmph
Distance travelled in 30min = 30/60*27 = 13.5km