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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeDirections (Q15). 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 AptitudeDirections (Q15). 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 AptitudeDirections (Q15). 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 AptitudeDirections (Q15). 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 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 AptitudeDirections (Q15). 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 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 AptitudeDirections (Q610). 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 AptitudeDirections (Q610). 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 AptitudeDirections (Q610). 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 AptitudeDirections (Q610). 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 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 AptitudeDirections (Q610). 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 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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