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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Prakash went to the office at the speed of 60 kmph while returning for his home he covered the half of the distance at the speed of 10 kmph, but suddenly he
realized that he was getting late so he increased the speed and reached the home by covering rest half of the distance at the speed of 30 kmph. Find out the 1/4th of the average speed of Prakash in the whole length of journey is?

Correct

Answer – 3) 6 kmph
Explanation:
Distance between home and office – x km
Total distance = x + x = 2x
Total time taken = x/60 + (x/2)/10 + (x/2)/30 = x/12
Average speed = 2x/(x/12) = 24 kmph
1/4th of average speed = ¼ * 24 = 6 kmph

Incorrect

Answer – 3) 6 kmph
Explanation:
Distance between home and office – x km
Total distance = x + x = 2x
Total time taken = x/60 + (x/2)/10 + (x/2)/30 = x/12
Average speed = 2x/(x/12) = 24 kmph
1/4th of average speed = ¼ * 24 = 6 kmph

A sum of Rs.7650 is to be divided between A and B who are respectively 18 and 19 year old, in such a way that if their shares will be invested at 4% per annum at CI, they will receive equal amounts on attaining the age of 21 year. The present share of B is

Correct

Answer – 4) 3900
Explanation :
Amount got by A after 3 yr = Amount got by B after 2 yr
x*(26/25)³ = (7650 – x)*(26/25)^2
26/25 = 7650 – x / x
x = 3750
7650 – 3750 = 3900

Incorrect

Answer – 4) 3900
Explanation :
Amount got by A after 3 yr = Amount got by B after 2 yr
x*(26/25)³ = (7650 – x)*(26/25)^2
26/25 = 7650 – x / x
x = 3750
7650 – 3750 = 3900

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

An amount of money is to be distributed among Arun, Bala and Chitra in the ratio of 7:4:5 respectively. If the total share of Arun and Chitra is 4 times the share of Bala, what is definitely Bala’s share?

Correct

Answer – 4) Can’t be determined
Explanation :
Total sum is not given

Incorrect

Answer – 4) Can’t be determined
Explanation :
Total sum is not given

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Sankar deposits some amount in three different savings schemes in a reputed bank for 2 years, 4 years and 6 years at 10%, 15% and 25% Simple Interest respectively. At the completion of each savings scheme, he gets the same interest. The ratio of his investments is

Answer – 5) X = Y or relation cannot be established
Explanation:
x² – 21x + 196 = 0
x = 28, – 7
(y – 13) (y + 17) = 0
y = 13, – 17

Incorrect

Answer – 5) X = Y or relation cannot be established
Explanation:
x² – 21x + 196 = 0
x = 28, – 7
(y – 13) (y + 17) = 0
y = 13, – 17

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

The ratio of the present age of B to that of A is 3 : 11. A is 12 years younger than V. V’s age after 7 years will be 85 years.
Quantity I: The present age of B’s father, who is 25 years older than B.
Quantity II: V’s present age

Correct

Answer – 2) Quantity I < Quantity II
Explanation:
11x = 85 – 7 – 12
x = 6
Present age of B = 18
Present age of B’s father = 18 + 25 = 43; V’s present age = 78

Incorrect

Answer – 2) Quantity I < Quantity II
Explanation:
11x = 85 – 7 – 12
x = 6
Present age of B = 18
Present age of B’s father = 18 + 25 = 43; V’s present age = 78

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

A Water tank can be filled by an inlet pipe at the rate of 5 litre per minute. A leak in the bottom of a Water tank can empty the full tank in 8 hours. When the Water tank is full, the inlet is opened and due to the leak, the Water tank is empty in 40 hours. How many litre does the half of the Water tank hold?

Correct

Answer – 5) 1500 litre
Explanation :
Part emptied by the leak in 1 hour = 1/8
part filled by (leak & inlet open) in 1 hour = 1/40
Part filled by the inlet pipe in 1 hour = 1/8 – 1/40 = 1/10
Inlet pipe fills the tank in = 10 hours
Inlet pipe fills water at the rate of 5 litre a minute.
Capacity of Water tank = 10 * 60 * 5 = 3000 litre
Half of the Capacity of Water tank = 1500 litre

Incorrect

Answer – 5) 1500 litre
Explanation :
Part emptied by the leak in 1 hour = 1/8
part filled by (leak & inlet open) in 1 hour = 1/40
Part filled by the inlet pipe in 1 hour = 1/8 – 1/40 = 1/10
Inlet pipe fills the tank in = 10 hours
Inlet pipe fills water at the rate of 5 litre a minute.
Capacity of Water tank = 10 * 60 * 5 = 3000 litre
Half of the Capacity of Water tank = 1500 litre

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

A watercraft running upstream takes 8 hours 45 minutes to cover a certain distance, while it takes 5 hours to cover the same distance running downstream. What is the ratio between the speed of the watercraft and speed of the water current respectively?

Correct

Answer – 2) 11 : 3
Explanation :
x*35/4 = 5y
y = 7x/4
Required Ratio = (Y + X / 2) : (Y – X / 2)
11x/8 : 3x/8 = 11:3

Incorrect

Answer – 2) 11 : 3
Explanation :
x*35/4 = 5y
y = 7x/4
Required Ratio = (Y + X / 2) : (Y – X / 2)
11x/8 : 3x/8 = 11:3

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