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

1 pointsCategory: Quantitative Aptitude**Study the given pie-charts carefully to answer the questions that follow:**Break-up of number of employees working in different departments of an organization, the number of males and the number of employees who recently got promoted in each department

Break-up of the number of employees who recently got promoted in each department

**If half of the number of employees who got promoted from the IT department are males. Then the number of males who got promoted from IT department is what percent of number of males who are working in marketing?**CorrectAnswer –

**2) 51%**

Explanation:

Number of males who got promoted from IT= 312/2= 156

Number of males working in marketing= 306

Required %= (156/306)*100= 51%IncorrectAnswer –

**2) 51%**

Explanation:

Number of males who got promoted from IT= 312/2= 156

Number of males working in marketing= 306

Required %= (156/306)*100= 51% - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**Study the given pie-charts carefully to answer the questions that follow:**Break-up of number of employees working in different departments of an organization, the number of males and the number of employees who recently got promoted in each department

Break-up of the number of employees who recently got promoted in each department

**Which of the following department have highest percentage of woman to total employees in that department?**CorrectAnswer –

**3) Account**

Explanation:

Percentage of women in account= (618/720)*100= 85.83%

Percentage of women in marketing= (342/648)*100= 52.77%

Percentage of women in IT= (132/540)*100= 24.44%

Percentage of women in HR= (228/432)*100= 52.78%

Percentage of women in Production= (240/1260)*100= 19.04%IncorrectAnswer –

**3) Account**

Explanation:

Percentage of women in account= (618/720)*100= 85.83%

Percentage of women in marketing= (342/648)*100= 52.77%

Percentage of women in IT= (132/540)*100= 24.44%

Percentage of women in HR= (228/432)*100= 52.78%

Percentage of women in Production= (240/1260)*100= 19.04% - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**Study the given pie-charts carefully to answer the questions that follow:**Break-up of number of employees working in different departments of an organization, the number of males and the number of employees who recently got promoted in each department

Break-up of the number of employees who recently got promoted in each department

**For which department ratio of male to female is more than 1?**CorrectAnswer –

**3) IT and Production**

Explanation:

Ratio of male to femaleAccount Department= 102/618

HR Department= 204/228

IT Department= 408/132

Production Department= 1020/240

Marketing Department= 306/342IncorrectAnswer –

**3) IT and Production**

Explanation:

Ratio of male to femaleAccount Department= 102/618

HR Department= 204/228

IT Department= 408/132

Production Department= 1020/240

Marketing Department= 306/342 - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**Study the given pie-charts carefully to answer the questions that follow:**

Break-up of the number of employees who recently got promoted in each department

**The correct ascending order of ratio of promoted to non-promoted employees is?**CorrectAnswer –

**3) Account, HR, Production, Marketing, IT**

Explanation:

The ratio of promoted to non-promoted employees

Account department =96/624

Marketing department = 264/384

HR department = 132/300

IT department =312/228

Production department = 396/864

Therefore, ascending order is Account, HR, Production, Marketing, ITIncorrectAnswer –

**3) Account, HR, Production, Marketing, IT**

Explanation:

The ratio of promoted to non-promoted employees

Account department =96/624

Marketing department = 264/384

HR department = 132/300

IT department =312/228

Production department = 396/864

Therefore, ascending order is Account, HR, Production, Marketing, IT - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**(16)**^{0.16 }x (16)^{0.04 }x (2)^{0.2 }is equal toCorrectAnswer –

**5) 2**

IncorrectAnswer –

**5) 2**

- Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**A tunnel of 600m length has two parallel rail tracks laid in it. Two trains of length 400 m and 200 m enter the tunnel simultaneously. After how much time from the instant the two train entered the tunnel, will the tunnel be free of traffic? (Given the speeds of the two trains, of length 400m and 200m are 72 km/hr and 36 km/hr respectively.)**CorrectAnswer –

**2) 80 seconds**

Explanation

The 400 m long train would cross the tunnel in 600+400/72×5/18 = 50 seconds

The 200m long train would cross the tunnel in = 600 +200/36×5/18 = 80 seconds

Hence in 80 seconds i.e. the maximum of the times taken by trains to cross the tunnel, the tunnel would be free of traffic.IncorrectAnswer –

**2) 80 seconds**

Explanation

The 400 m long train would cross the tunnel in 600+400/72×5/18 = 50 seconds

The 200m long train would cross the tunnel in = 600 +200/36×5/18 = 80 seconds

Hence in 80 seconds i.e. the maximum of the times taken by trains to cross the tunnel, the tunnel would be free of traffic. - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**Four small pumps and two large pumps are filling a tank. Each of the four small pumps works at 3/4th the rate of each of the two large pumps. If all 6 pumps work at the same time, they would fill the tank in what fraction of the time that it would have taken for a single large pump alone.**CorrectAnswer –

**2) 1/5**

Explanation

Let the two large pump work alone and complete the work in x days.

Each of the two large pump can complete 1/x of the work in one day.

Each of the four small pumps can complete 3/4x of the work in one day.

All the 6 pumps working together can complete ( 4 x (3/4x) + 2 x 1/x ) of the work in one day

i.e. 5/x of the work in one day.

If takes then x/5 days to complete the work,which is 1/5th of x.

The six pumps should fill the tank in 1/5th of the time that it would have taken for a single pump alone to fill the tank.IncorrectAnswer –

**2) 1/5**

Explanation

Let the two large pump work alone and complete the work in x days.

Each of the two large pump can complete 1/x of the work in one day.

Each of the four small pumps can complete 3/4x of the work in one day.

All the 6 pumps working together can complete ( 4 x (3/4x) + 2 x 1/x ) of the work in one day

i.e. 5/x of the work in one day.

If takes then x/5 days to complete the work,which is 1/5th of x.

The six pumps should fill the tank in 1/5th of the time that it would have taken for a single pump alone to fill the tank. - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**The ratio of the volumes of the two cubes is 6859:10648. What is the ratio of there total surface area.**CorrectAnswer –

**1) 361:484**

Explanation

IncorrectAnswer –

**1) 361:484**

Explanation

- Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude**Raj has just enough money to buy 50 papayas or 30 watermelons. He decided to spend only 90% of his money and buy 9 watermelons. How many papayas can he buy with the remaining money that he wants to spend.**CorrectAnswer –

**2) 30**

Explanation

Let the cost of 50 papayas or 30 watermelons be Rs150

So each papaya costs Rs3 and each watermelon costs Rs5.

Let him buy x papayas and 9 watermelons for Rs135 (90% of his money)

= 3x + 45 = 135

= 30IncorrectAnswer –

**2) 30**

Explanation

Let the cost of 50 papayas or 30 watermelons be Rs150

So each papaya costs Rs3 and each watermelon costs Rs5.

Let him buy x papayas and 9 watermelons for Rs135 (90% of his money)

= 3x + 45 = 135

= 30 - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude**What is the speed of train.**

I. The train crosses the signal pole in 20sec.

II. Length of the platform is 400% of the length of train.

III. The train crosses the platform in 50 sec.CorrectAnswer –

**5) All the three together are not sufficient to answer the question**

Explanation

Statement II let the length of the train be x meter. Length of platform = 4x

Statement III speed of train = (X +3x)/50 = 4x/50 =2x/25 m/s

Statement I speed of train = x/20 m/s

Therefore, question cannot be answer with all the three statements together also.IncorrectAnswer –

**5) All the three together are not sufficient to answer the question**

Explanation

Statement II let the length of the train be x meter. Length of platform = 4x

Statement III speed of train = (X +3x)/50 = 4x/50 =2x/25 m/s

Statement I speed of train = x/20 m/s

Therefore, question cannot be answer with all the three statements together also.

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