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

1 pointsCategory: Quantitative Aptitude**Directions (Q1-5). A state government collected the data about the number of students who went abroad for studies in four years i.e. 2014, 2015, 2016 and 2017 to four different countries i.e. USA, Britain, China and Japan which is as follows:**

In 2014, the number of students who went to Britain are 45% more than that of to USA and the number of students who went to China are half the number of students who went to Britain. In the same year, the number of students who went to Japan are 5 less than half the number of students who went to USA. In 2016, the number of students who went to China are 16 more than that of to Britain. In the same year, the number of students who went to Britain are 60% less than that of to USA and the number of students who went to Japan are 100 less than that of to USA. In 2015, the number of students who went to Japan are 40% less that of to China. In 2017, the number of students who went to Britain are 12.5% less than that of to USA.

Total number of students who went to China in years 2014 and 2016 together are 173 and the total number of students who went to Japan in the same years together are 130. Number of students who went to China in year 2015 are 105. Total number of students who went to China in all these years together are 343. Total number of students who went to Japan in all these years together are 271.**In 2017, the number of students who went to China are how much less than that of to Japan?**Correct**Answer- 1) 13**

Explanation-

Let the number of students who went to USA in 2014 are x.

Then, the number of students who went to Britain in 2014 = 145% of x = 1.45x

Number of students who went to China in 2014 = 1.45x/2 = 0.725x

Number of students who went to Japan in 2014 = x/2 – 5

Let the number of students who went to USA in 2016 are y

Then, the number of students who went to Britain in 2016 = 40% of y = 0.4y

Number of students who went to Japan in 2016 = y – 100

Number of students who went to China in 2016 = 0.4y + 16

According to the question,

0.725x + 0.4y + 16 = 173

29x + 16y = 6280

Also, x/2 – 5 + y – 100 = 130

x + 2y = 470

Solving both these equations, we have, x = 120 and y = 175

Therefore,

The number of students who went to USA in 2014 = 120

Number of students who went to Britain in 2014 = 1.45 × 120 = 174

Number of students who went to China in 2014 = 174/2 = 87

Number of students who went to Japan in 2014 = 120/2 – 5 = 55

Number of students who went to USA in 2016 = 175

Number of students who went to Britain in 2016 = 0.4 × 175 = 70

Number of students who went to Japan in 2016 = 175 – 100 = 75

Number of students who went to China in 2016 = 70 + 16 = 86

Given that, the number of students who went to China in 2015 = 105

Number of students who went to Japan in 2015 = 105 – 40% of 105 = 105 – 42 = 63

Number of students who went to China in 2017 = 343 – (87 + 105 + 86) = 65

Number of students who went to Japan in 2017 = 271 – (55 + 63 + 75) = 78

Required number = 78 – 65 = 13Incorrect**Answer- 1) 13**

Explanation-

Let the number of students who went to USA in 2014 are x.

Then, the number of students who went to Britain in 2014 = 145% of x = 1.45x

Number of students who went to China in 2014 = 1.45x/2 = 0.725x

Number of students who went to Japan in 2014 = x/2 – 5

Let the number of students who went to USA in 2016 are y

Then, the number of students who went to Britain in 2016 = 40% of y = 0.4y

Number of students who went to Japan in 2016 = y – 100

Number of students who went to China in 2016 = 0.4y + 16

According to the question,

0.725x + 0.4y + 16 = 173

29x + 16y = 6280

Also, x/2 – 5 + y – 100 = 130

x + 2y = 470

Solving both these equations, we have, x = 120 and y = 175

Therefore,

The number of students who went to USA in 2014 = 120

Number of students who went to Britain in 2014 = 1.45 × 120 = 174

Number of students who went to China in 2014 = 174/2 = 87

Number of students who went to Japan in 2014 = 120/2 – 5 = 55

Number of students who went to USA in 2016 = 175

Number of students who went to Britain in 2016 = 0.4 × 175 = 70

Number of students who went to Japan in 2016 = 175 – 100 = 75

Number of students who went to China in 2016 = 70 + 16 = 86

Given that, the number of students who went to China in 2015 = 105

Number of students who went to Japan in 2015 = 105 – 40% of 105 = 105 – 42 = 63

Number of students who went to China in 2017 = 343 – (87 + 105 + 86) = 65

Number of students who went to Japan in 2017 = 271 – (55 + 63 + 75) = 78

Required number = 78 – 65 = 13 - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**Directions (Q1-5). A state government collected the data about the number of students who went abroad for studies in four years i.e. 2014, 2015, 2016 and 2017 to four different countries i.e. USA, Britain, China and Japan which is as follows:**

In 2014, the number of students who went to Britain are 45% more than that of to USA and the number of students who went to China are half the number of students who went to Britain. In the same year, the number of students who went to Japan are 5 less than half the number of students who went to USA. In 2016, the number of students who went to China are 16 more than that of to Britain. In the same year, the number of students who went to Britain are 60% less than that of to USA and the number of students who went to Japan are 100 less than that of to USA. In 2015, the number of students who went to Japan are 40% less that of to China. In 2017, the number of students who went to Britain are 12.5% less than that of to USA.

Total number of students who went to China in years 2014 and 2016 together are 173 and the total number of students who went to Japan in the same years together are 130. Number of students who went to China in year 2015 are 105. Total number of students who went to China in all these years together are 343. Total number of students who went to Japan in all these years together are 271.**In 2017, if the total number of students who went to all these countries together are 533, then the number of students who went to Britain in 2017 are how much percent more than that of the students who went to USA in 2016?**Correct**Answer- 4) 4%**

Explanation-

Let the number of students who went to USA in 2017 are x.

Then, number of students who went to Britain in 2017 = x – 12.5% of x = 0.875x

According to question,

x + 0.875x + 65 + 78 = 533

1.875x = 390

x = 390/1.875 = 208

Therefore, the number of students who went to USA in 2017 = 208

Number of students who went to Britain in 2017 = 0.875 × 208 = 182

Required percentage = (182 – 175)/175 × 100 = 4%Incorrect**Answer- 4) 4%**

Explanation-

Let the number of students who went to USA in 2017 are x.

Then, number of students who went to Britain in 2017 = x – 12.5% of x = 0.875x

According to question,

x + 0.875x + 65 + 78 = 533

1.875x = 390

x = 390/1.875 = 208

Therefore, the number of students who went to USA in 2017 = 208

Number of students who went to Britain in 2017 = 0.875 × 208 = 182

Required percentage = (182 – 175)/175 × 100 = 4% - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**Directions (Q1-5). A state government collected the data about the number of students who went abroad for studies in four years i.e. 2014, 2015, 2016 and 2017 to four different countries i.e. USA, Britain, China and Japan which is as follows:**

In 2014, the number of students who went to Britain are 45% more than that of to USA and the number of students who went to China are half the number of students who went to Britain. In the same year, the number of students who went to Japan are 5 less than half the number of students who went to USA. In 2016, the number of students who went to China are 16 more than that of to Britain. In the same year, the number of students who went to Britain are 60% less than that of to USA and the number of students who went to Japan are 100 less than that of to USA. In 2015, the number of students who went to Japan are 40% less that of to China. In 2017, the number of students who went to Britain are 12.5% less than that of to USA.

Total number of students who went to China in years 2014 and 2016 together are 173 and the total number of students who went to Japan in the same years together are 130. Number of students who went to China in year 2015 are 105. Total number of students who went to China in all these years together are 343. Total number of students who went to Japan in all these years together are 271.**Total number of students who went to USA and Japan in years 2014 and 2015 together are 518. Also, in 2015, the total number of students who went to all the given countries together are 392. The number of students who went to USA in 2015 are how much less than that of to Britain?**Correct**Answer- 3) Cannot be determined.**

Explanation-

Let the number of students who went to USA in 2015 are x and that of to Britain are y.

According to question,

x + y + 120 + 174 = 518

x + y = 224

Also, x + y + 105 + 63 = 392

x + y = 224

Therefore, both these equations are same and hence the answer cannot be known by the given data.Incorrect**Answer- 3) Cannot be determined.**

Explanation-

Let the number of students who went to USA in 2015 are x and that of to Britain are y.

According to question,

x + y + 120 + 174 = 518

x + y = 224

Also, x + y + 105 + 63 = 392

x + y = 224

Therefore, both these equations are same and hence the answer cannot be known by the given data. - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude

In 2014, the number of students who went to Britain are 45% more than that of to USA and the number of students who went to China are half the number of students who went to Britain. In the same year, the number of students who went to Japan are 5 less than half the number of students who went to USA. In 2016, the number of students who went to China are 16 more than that of to Britain. In the same year, the number of students who went to Britain are 60% less than that of to USA and the number of students who went to Japan are 100 less than that of to USA. In 2015, the number of students who went to Japan are 40% less that of to China. In 2017, the number of students who went to Britain are 12.5% less than that of to USA.

Total number of students who went to China in years 2014 and 2016 together are 173 and the total number of students who went to Japan in the same years together are 130. Number of students who went to China in year 2015 are 105. Total number of students who went to China in all these years together are 343. Total number of students who went to Japan in all these years together are 271.**Total number of students who went to China in 2015 and the number of students who went to Japan in 2016 together are:**Correct**Answer- 2) 180**

Explanation-

Required number = 105 + 75 = 180Incorrect**Answer- 2) 180**

Explanation-

Required number = 105 + 75 = 180 - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude

In 2014, the number of students who went to Britain are 45% more than that of to USA and the number of students who went to China are half the number of students who went to Britain. In the same year, the number of students who went to Japan are 5 less than half the number of students who went to USA. In 2016, the number of students who went to China are 16 more than that of to Britain. In the same year, the number of students who went to Britain are 60% less than that of to USA and the number of students who went to Japan are 100 less than that of to USA. In 2015, the number of students who went to Japan are 40% less that of to China. In 2017, the number of students who went to Britain are 12.5% less than that of to USA.

Total number of students who went to China in years 2014 and 2016 together are 173 and the total number of students who went to Japan in the same years together are 130. Number of students who went to China in year 2015 are 105. Total number of students who went to China in all these years together are 343. Total number of students who went to Japan in all these years together are 271.**Total number of students who went to Britain in 2014 and number of students who went to China in 2016 together are:**Correct**Answer- 3) 260**

Explanation-

Required number = 174 + 86 = 260 (watch the solution of Q1)Incorrect**Answer- 3) 260**

Explanation-

Required number = 174 + 86 = 260 (watch the solution of Q1) - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**Directions (Q6-10). The following pie chart shows the distance travelled by a car from Monday to Saturday in percentage. The average speed of his car is different every day which is given by a table. Few values are missing in the table.**

**What is the average speed of the car on Monday and Tuesday together (approximately)?**Correct**Answer- 5) 20.9 m/s**

Explanation

Total distance travelled by car = (13 + 18)% of 1800 = 558 km

Time for which car travelled on Monday = 13% of 1800/80 = 234/80 = 2.925 hrs

Time for which car travelled on Tuesday = 18% of 1800/72 = 4.5 hrs

Average speed = 558/(2.925 + 4.5) = 558/7.425 km/h = 558/7.425 × 5/18 m/s = 20.9 m/sIncorrect**Answer- 5) 20.9 m/s**

Explanation

Total distance travelled by car = (13 + 18)% of 1800 = 558 km

Time for which car travelled on Monday = 13% of 1800/80 = 234/80 = 2.925 hrs

Time for which car travelled on Tuesday = 18% of 1800/72 = 4.5 hrs

Average speed = 558/(2.925 + 4.5) = 558/7.425 km/h = 558/7.425 × 5/18 m/s = 20.9 m/s - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**Directions (Q6-10). The following pie chart shows the distance travelled by a car from Monday to Saturday in percentage. The average speed of his car is different every day which is given by a table. Few values are missing in the table.**

**Total time taken by the car to travel on Saturday is:**Correct**Answer- 2) 3.84 hrs**

Explanation-

Distance travelled by car on Saturday = 16% of 1800 = 288 km

Speed of the car on Saturday = 75 km/h

Required time = 288/75 = 3.84 hrsIncorrect**Answer- 2) 3.84 hrs**

Explanation-

Distance travelled by car on Saturday = 16% of 1800 = 288 km

Speed of the car on Saturday = 75 km/h

Required time = 288/75 = 3.84 hrs - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**Directions (Q6-10). The following pie chart shows the distance travelled by a car from Monday to Saturday in percentage. The average speed of his car is different every day which is given by a table. Few values are missing in the table.**

**The time taken by car to travel on Wednesday is 75/13 hrs. The speed of the car on Wednesday is how much percent less than that of on Monday?**Correct**Answer- 2) 2.5%**

Explanation-

Distance travelled by car on Wednesday = 25% of 1800 = 450 km

Speed of the car on Wednesday = 450/75 × 13 = 78 km/h

Required percentage = (80 – 78)/80 × 100 = 2.5 %Incorrect**Answer- 2) 2.5%**

Explanation-

Distance travelled by car on Wednesday = 25% of 1800 = 450 km

Speed of the car on Wednesday = 450/75 × 13 = 78 km/h

Required percentage = (80 – 78)/80 × 100 = 2.5 % - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude

**The total time for which car travelled on Thursday and Friday together is 166/21 hrs. The average speed of the car on Friday is 30 km/h more that on Thursday. What is the sum of the average speeds of the car on Thursday and that on Friday?**Correct**Answer- 1) 138 km/h**

Explanation-

Let the average speed of the car on Thursday is x km/h

Average speed of the car on Friday = (x + 30) km/h

Distance travelled by car on Thursday = 16% of 1800 = 288 km

Distance travelled by car on Friday = 12% of 1800 = 216 km

According to question, we have,

288/x + 216/(x + 30) = 166/21

By solving, we have,

x = 54 km/h

Average speed of the car on Friday = 54 + 30 = 84 km/h

Required sum = 84 + 54 = 138 km/hIncorrect**Answer- 1) 138 km/h**

Explanation-

Let the average speed of the car on Thursday is x km/h

Average speed of the car on Friday = (x + 30) km/h

Distance travelled by car on Thursday = 16% of 1800 = 288 km

Distance travelled by car on Friday = 12% of 1800 = 216 km

According to question, we have,

288/x + 216/(x + 30) = 166/21

By solving, we have,

x = 54 km/h

Average speed of the car on Friday = 54 + 30 = 84 km/h

Required sum = 84 + 54 = 138 km/h - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude

**The average speed of the car on Sunday is 20% more than that on Saturday and distance travelled is equal to the average distance travelled by it on Monday and Tuesday together. The time for which car travelled on Sunday is:**Correct**Answer- 4) 3.1 hrs**

Explanation-

Average speed of the car on Sunday = 75 + 20% of 75 = 75 + 15 = 90 km/h

Distance travelled on Sunday = 1/2 × (13 + 18)% of 1800 = 279 km

Time taken = 279/90 = 3.1 hrsIncorrect**Answer- 4) 3.1 hrs**

Explanation-

Average speed of the car on Sunday = 75 + 20% of 75 = 75 + 15 = 90 km/h

Distance travelled on Sunday = 1/2 × (13 + 18)% of 1800 = 279 km

Time taken = 279/90 = 3.1 hrs

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