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Answer – 2) X < Y
Explanation:
x² – 33x + 272 = 0
x = 17, 16
y² – 43y + 450 = 0
y = 25, 18

Incorrect

Answer – 2) X < Y
Explanation:
x² – 33x + 272 = 0
x = 17, 16
y² – 43y + 450 = 0
y = 25, 18

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

In a travel bag there are 4 black, 4 red and 2 pink shirts. Two shirts are drawn at random.What is the probability that at least one shirt is of red colour?

Correct

Answer – 4) 2/3
Explanation :
Total shirts = 10
Other than red shirts = 6c2
6c2/10c2=1/3 —> 1-1/3 = 2/3

Incorrect

Answer – 4) 2/3
Explanation :
Total shirts = 10
Other than red shirts = 6c2
6c2/10c2=1/3 —> 1-1/3 = 2/3

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

The ratio between the rate of speed of travelling of Arun and Bharath is 2:3 and therefore Arun takes 20 minutes more than time taken by Bharath to reach a
particular destination. If Arun had walked at double the speed, how long would he have taken to cover the distance?

Correct

Answer – 4) 30 minutes
Explanation :
Let Bharath and Arun takes T minutes and (T + 20) minutes respectively.
Speed Inversely proportional to time, So time taken by Arun and Bharath is
(T + 20) : T = 1/2 : 1/3 = 3 : 2
=> (T + 20)/T = 3/2
=> 2T + 40 = 3T
T = 40
Arun takes (T + 20) = (40 + 20) = 60 min. If Arun had walked at double the speed
then the time taken by Arun is 30 minutes.

Incorrect

Answer – 4) 30 minutes
Explanation :
Let Bharath and Arun takes T minutes and (T + 20) minutes respectively.
Speed Inversely proportional to time, So time taken by Arun and Bharath is
(T + 20) : T = 1/2 : 1/3 = 3 : 2
=> (T + 20)/T = 3/2
=> 2T + 40 = 3T
T = 40
Arun takes (T + 20) = (40 + 20) = 60 min. If Arun had walked at double the speed
then the time taken by Arun is 30 minutes.

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

A container contains a mixture of Rose Milk and water in which there is 20% Rose Milk. Five litre are drawn off and then the container is filled with water. If the Rose Milk present in the mixture is now 15% then how much does the container hold?

Correct

Answer – 2) 20 L
Explanation :
20/15 = x/x-5
x = 20

Incorrect

Answer – 2) 20 L
Explanation :
20/15 = x/x-5
x = 20

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Ramya can do a piece of work in 45 days, but Bharat can do the same work in 5 days less, than Ramya, when working alone. Ramya and Bharat both started the work together but Bharat left after some days and Ramya finished the remaining work in 56 days with half of his efficiency but he did the work with Bharat with his complete efficiency. For how many days they had worked together?

Correct

Answer – 2) 8
Explanation:
Ramya did the work in 56 days = 56×1/(45×2) = 28/45
Ramya and Bharat do the work in one day = 1/45+1/40=17/360
Therefore, Rest work 17/45 was done by Ramya and Bharat = (17/45)/(17/360) = 8 days

Incorrect

Answer – 2) 8
Explanation:
Ramya did the work in 56 days = 56×1/(45×2) = 28/45
Ramya and Bharat do the work in one day = 1/45+1/40=17/360
Therefore, Rest work 17/45 was done by Ramya and Bharat = (17/45)/(17/360) = 8 days

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Sharma can row 40 km upstream and 55 km downstream in 13 hours and 30 km upstream and 44 km downstream in 10 hours. What is the speed of Sharma in still water?

Correct

Answer – 4) 8 kmph
Explanation:
40/(B-S) + 55(B+S) = 13
30/(B-S) + 44(B+S) = 10
Go through options.

Incorrect

Answer – 4) 8 kmph
Explanation:
40/(B-S) + 55(B+S) = 13
30/(B-S) + 44(B+S) = 10
Go through options.

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

A fast moving express train crosses another passenger train in 20 seconds. The speed of express is 82 km/hr and speeds of passenger train is 28 km/h. Also the length of express is 100m, then find the length of the passenger train if they are moving in the same direction.

Correct

Answer – 4) 200 m
Explanation:
Time = Sum of length of the two train / Difference in speeds
Difference in speeds = 54 * 5/18 = 15m/s
20 = 100 + x / 15
X = 200

Incorrect

Answer – 4) 200 m
Explanation:
Time = Sum of length of the two train / Difference in speeds
Difference in speeds = 54 * 5/18 = 15m/s
20 = 100 + x / 15
X = 200

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

Pipe K can fill an empty container in 30 hours while L can fill it in 45 hours. Pipe K and L are opened and closed alternatively i.e., first pipe K is opened, then L, again K and then L and so on for 1 hour each time without any time lapse. In how many hours the container will be filled if it was empty, initially?

Correct

Answer – 1) 36
Explanation:
In 2 hours, container will be filled by 3 + 2 = 5
90
30 — 3
45 — 2
Total time taken = 90/5 = 18
18 * 2 = 36

Incorrect

Answer – 1) 36
Explanation:
In 2 hours, container will be filled by 3 + 2 = 5
90
30 — 3
45 — 2
Total time taken = 90/5 = 18
18 * 2 = 36

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