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- Question 1 of 10
##### 1. Question

1 pointsCategory: Quantitative Aptitude**Directions (Q1-5). There are total 6400 voters in three villages A, B and C. Ratio of total voters in A, B and C is 6:7:3 respectively. Ratio of male voters in A to male voters in B is 4:3. Number of male voters in B are 50% more than the male voters in C. Ratio of female voters in A to female voters in B is 1:2.****Total number of male voters in B are how much percent more than the total number of female voters in C?**Correct**Answer- 2) 200%**Total number of voters in A = 6400/16 × 6 = 2400

Explanation-

Total number of voters in B = 6400/16 × 7 = 2800

Total number of voters in C = 6400/16 × 3 = 1200

Let the number of male voters in A is 4x and the number of male voters in B is 3x.

Then the number of male voters in C = 3x/150 × 100 = 2x

Let the number of female voters in A is y and the number of female voters in B is 2y.

According to question,

4x + y = 2400…….. (1)

Also, 3x + 2y = 2800……… (2)

By solving both equations, we have, x = 400, y = 800

Number of male voters in A = 4 × 400 = 1600

Number of male voters in B = 3 × 400 = 1200

Number of male voters in C = 2 × 400 = 800

Number of female voters in A = 800

Number of female voters in B = 2 × 800 = 1600

Number of female voters in C = 1200 – 800 = 400

Required ratio = (1200 – 400)/400 = 200%Incorrect**Answer- 2) 200%**Total number of voters in A = 6400/16 × 6 = 2400

Explanation-

Total number of voters in B = 6400/16 × 7 = 2800

Total number of voters in C = 6400/16 × 3 = 1200

Let the number of male voters in A is 4x and the number of male voters in B is 3x.

Then the number of male voters in C = 3x/150 × 100 = 2x

Let the number of female voters in A is y and the number of female voters in B is 2y.

According to question,

4x + y = 2400…….. (1)

Also, 3x + 2y = 2800……… (2)

By solving both equations, we have, x = 400, y = 800

Number of male voters in A = 4 × 400 = 1600

Number of male voters in B = 3 × 400 = 1200

Number of male voters in C = 2 × 400 = 800

Number of female voters in A = 800

Number of female voters in B = 2 × 800 = 1600

Number of female voters in C = 1200 – 800 = 400

Required ratio = (1200 – 400)/400 = 200% - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**Directions (Q1-5). There are total 6400 voters in three villages A, B and C. Ratio of total voters in A, B and C is 6:7:3 respectively. Ratio of male voters in A to male voters in B is 4:3. Number of male voters in B are 50% more than the male voters in C. Ratio of female voters in A to female voters in B is 1:2.****What is the ratio of total number of male voters in B and C together to the total number of female voters in A and B together?**Correct**Answer- 2) 5:6**Required ratio = (1200 + 800)/(800 + 1600) = 2000/2400 = 5:6

Explanation-Incorrect**Answer- 2) 5:6**Required ratio = (1200 + 800)/(800 + 1600) = 2000/2400 = 5:6

Explanation- - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**Directions (Q1-5). There are total 6400 voters in three villages A, B and C. Ratio of total voters in A, B and C is 6:7:3 respectively. Ratio of male voters in A to male voters in B is 4:3. Number of male voters in B are 50% more than the male voters in C. Ratio of female voters in A to female voters in B is 1:2.****What is the difference between the total number of male voters and total number of female voters in all the villages together?**Correct**Answer- 5) 800**Required difference = (1600 + 1200 + 800) – (800 + 1600 + 400) = 3600 – 2800 = 800

Explanation-Incorrect**Answer- 5) 800**Required difference = (1600 + 1200 + 800) – (800 + 1600 + 400) = 3600 – 2800 = 800

Explanation- - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**Total number of female voters in village A are how much percent of the total number of male voters in village C?**Correct**Answer- 1) 100%**Required percentage = 800/800 × 100 = 100%

Explanation-Incorrect**Answer- 1) 100%**Required percentage = 800/800 × 100 = 100%

Explanation- - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**What is the difference between average number of female voters in A and B together to the average number of male voters in B and C together**?Correct**Answer- 4) 200**Average number of female voters in A and B together = (800 + 1600)/2 = 1200

Explanation-

Average number of male voters in B and C together = (1600 + 400)/2 = 1000

Required difference = 1200 – 1000 = 200Incorrect**Answer- 4) 200**Average number of female voters in A and B together = (800 + 1600)/2 = 1200

Explanation-

Average number of male voters in B and C together = (1600 + 400)/2 = 1000

Required difference = 1200 – 1000 = 200 - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**There are ‘x’ number of white and 15 black marbles in a bag. The probability of taking out one white marble is 4/7. What is the total number of marbles in the bag?**Correct**Answer- 3) 35**Probability of taking out one white marble = x/(x + 15) = 4/7

Explanation-

Therefore, 7x = 4x + 60

3x = 60, x = 20

Total number of marbles = 20 + 15 = 35Incorrect**Answer- 3) 35**Probability of taking out one white marble = x/(x + 15) = 4/7

Explanation-

Therefore, 7x = 4x + 60

3x = 60, x = 20

Total number of marbles = 20 + 15 = 35 - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**A boat takes 15 hours to cover a certain distance upstream and it takes 11 hours to cover the same distance downstream. What is the ratio of speed of boat in still water to the speed of the current?**Correct**Answer- 4) 13:2**Ratio of time takes for going same distance upstream to downstream = 15:11

Explanation-

Ratio of speeds will be opposite i.e. 11:15

Let the speed of boat upstream is 11x and the speed downstream is 15x.

Speed of boat in still water = (11x + 15x)/2 = 13x

Speed of current = (15x – 11x)/2 = 2x

Required ratio = 13x:2x = 13:2Incorrect**Answer- 4) 13:2**Ratio of time takes for going same distance upstream to downstream = 15:11

Explanation-

Ratio of speeds will be opposite i.e. 11:15

Let the speed of boat upstream is 11x and the speed downstream is 15x.

Speed of boat in still water = (11x + 15x)/2 = 13x

Speed of current = (15x – 11x)/2 = 2x

Required ratio = 13x:2x = 13:2 - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**Length of a train A is 240 m and its speed is 25 m/s. It crosses a train B of length 210 m in 7.5 sec. What is the speed of train B?**Correct**Answer- 1) 126 km/h**Let the speed of train B is x.

Explanation-

Then, according to question

(240 + 210)/(25 + x) = 7.5

By solving, we have, x = 35 m/s = 35 × 18/5 = 126 km/hIncorrect**Answer- 1) 126 km/h**Let the speed of train B is x.

Explanation-

Then, according to question

(240 + 210)/(25 + x) = 7.5

By solving, we have, x = 35 m/s = 35 × 18/5 = 126 km/h - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude**A can do a piece of work in 24 days. B is 60% more efficient than A. Both of them started working together but B left after 5 days and remaining work was completed by A alone. Number of days for which A worked alone is:**Correct**Answer- 2) 11 days**No of days taken by A to complete work alone = 24 days

Explanation-

No of days taken by B = 24/160 × 100 = 15 days

We have,

Let the number of days for which A worked alone is x

Then, 13 × 5 + 5x = 120

5x = 55, x = 11Incorrect**Answer- 2) 11 days**No of days taken by A to complete work alone = 24 days

Explanation-

No of days taken by B = 24/160 × 100 = 15 days

We have,

Let the number of days for which A worked alone is x

Then, 13 × 5 + 5x = 120

5x = 55, x = 11 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude**A and B start at the same time with speed of 60 km/h and 80 km/h respectively. In covering the journey A takes 20 min more than B. What is the total distance of the journey?**Correct**Answer- 2) 80 km**Ratio of speeds of cars A and B = 60:80 = 3:4

Explanation-

Ratio of time taken by them = 4:3

Time taken by B to complete the journey = 20/1 × 3 = 60 min = 1 hour

Distance of the journey = 80 × 1 = 80 kmIncorrect**Answer- 2) 80 km**Ratio of speeds of cars A and B = 60:80 = 3:4

Explanation-

Ratio of time taken by them = 4:3

Time taken by B to complete the journey = 20/1 × 3 = 60 min = 1 hour

Distance of the journey = 80 × 1 = 80 km

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