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Question 1 of 15

1. Question

1 points

Category: Quantitative Aptitude

Directions (1 – 5): Study the following table and answer the questions that follow:
The line chart given below represents the number of visitors (in thousands) in countries A, B and C during the period 2008-2015.

For how many of the given years there is an increase in the number of visitors in all the three countries as compared to the previous year?

Correct

Explanation:
Totals For 2008 = 80, For 2009 = 75, For 2010 = 90, For 2011 = 115, For 2012 = 115
For 2013 = 65, For 2014 = 85, For 2015 = 125
So increase from – 2009 to 20010, 2010 to 2011, 2013 to 2014, 2014 to 2015

Incorrect

Explanation:
Totals For 2008 = 80, For 2009 = 75, For 2010 = 90, For 2011 = 115, For 2012 = 115
For 2013 = 65, For 2014 = 85, For 2015 = 125
So increase from – 2009 to 20010, 2010 to 2011, 2013 to 2014, 2014 to 2015

Question 2 of 15

2. Question

1 points

Category: Quantitative Aptitude

Directions (1 – 5): Study the following table and answer the questions that follow:
The line chart given below represents the number of visitors (in thousands) in countries A, B and C during the period 2008-2015.

The total number of visitors in country C is what percent of the total number of visitors in country A during the given period?

Correct

Explanation:
Total in A = 30+25+30+40+50+35+40+70 = 320
For C = 240
So required % = 240/320 * 100

Incorrect

Explanation:
Total in A = 30+25+30+40+50+35+40+70 = 320
For C = 240
So required % = 240/320 * 100

Question 3 of 15

3. Question

1 points

Category: Quantitative Aptitude

Directions (1 – 5): Study the following table and answer the questions that follow:
The line chart given below represents the number of visitors (in thousands) in countries A, B and C during the period 2008-2015.

If the percentage change in the visitors for each of the three countries separately in the year 2016 over the year 2015 is same as that in the year 2015 over the year 2014, then what will be the total number of visitors in all the three countries together in the year 2016?

Correct

Explanation:
For C, % decrease = 20-15 / 20 * 100 = 25%, so in 2016 = 75/100 * 15 = 11.25
For B, % increase = 40-25 / 25 * 100 = 60%, so in 2016 = 160/100 * 40 = 64
For A, % increase = 70-40 / 40 * 100 = 75%, so in 2016 = 175/100 * 70 = 122.5
Total = 11.25+64+122.5 = 197.75
197.75*1000 = 197750

Incorrect

Explanation:
For C, % decrease = 20-15 / 20 * 100 = 25%, so in 2016 = 75/100 * 15 = 11.25
For B, % increase = 40-25 / 25 * 100 = 60%, so in 2016 = 160/100 * 40 = 64
For A, % increase = 70-40 / 40 * 100 = 75%, so in 2016 = 175/100 * 70 = 122.5
Total = 11.25+64+122.5 = 197.75
197.75*1000 = 197750

Question 4 of 15

4. Question

1 points

Category: Quantitative Aptitude

Directions (1 – 5): Study the following table and answer the questions that follow:
The line chart given below represents the number of visitors (in thousands) in countries A, B and C during the period 2008-2015.

For how many of the given years, there is either an increase or decrease in the number of visitors in each of the three countries when compared to the previous year?

Correct

Explanation:
From 2010 to 2011, all increase
From 2012 to 2013, all decrease
From 2013 to 2014, all increase

Incorrect

Explanation:
From 2010 to 2011, all increase
From 2012 to 2013, all decrease
From 2013 to 2014, all increase

Question 5 of 15

5. Question

1 points

Category: Quantitative Aptitude

Directions (1 – 5): Study the following table and answer the questions that follow:
The line chart given below represents the number of visitors (in thousands) in countries A, B and C during the period 2008-2015.

What is the percentage increase in the number of visitors in all the three countries together in 2015 with respect to 2008?

Correct

Explanation:
In 2008, total = 40+30+10 = 80
In 2015, total = 70+40+15 = 125
%increase = (125-80)/80 * 100

Incorrect

Explanation:
In 2008, total = 40+30+10 = 80
In 2015, total = 70+40+15 = 125
%increase = (125-80)/80 * 100

Question 6 of 15

6. Question

1 points

Category: Quantitative Aptitude

The speed of boat A is 3 km/hr less than the speed of boat B. The time taken by boat A to travel a distance of 18 km downstream is 1 hour more than time taken by B to travel the same distance downstream. If the speed of the current is half of the speed of boat A, what is the speed of boat B?

Correct

Explanation:
Speed of A = x, then of B = x+3
Speed of current = x/2
So downstream speed from boat A = x + x/2 = 3x/2
downstream speed from boat B = x+3 + x/2 = 3x/2 + 3
so 18/(3x/2) = 18/(3x/2 + 3) + 1
36/3x = 36/(3x+6) + 1
12/x = 12/(x+2) + 1
12(x+2) = 12x + x(x+2)
x^{2} + 2x – 24 = 0
solve, x = 4

Incorrect

Explanation:
Speed of A = x, then of B = x+3
Speed of current = x/2
So downstream speed from boat A = x + x/2 = 3x/2
downstream speed from boat B = x+3 + x/2 = 3x/2 + 3
so 18/(3x/2) = 18/(3x/2 + 3) + 1
36/3x = 36/(3x+6) + 1
12/x = 12/(x+2) + 1
12(x+2) = 12x + x(x+2)
x^{2} + 2x – 24 = 0
solve, x = 4

Question 7 of 15

7. Question

1 points

Category: Quantitative Aptitude

Area of rectangle whose breadth is 2/3rd the radius of circle is 924 less than the area of circle. If length of rectangle is 33 m, then what is the breadth of the rectangle?

Correct

Explanation:
Radius = x, so breadth = (2x/3), length = 33
So l × b = ᴨr^{2} – 924
(2x/3) * 33 = (22/7)x^{2} – 924
x = x^{2}/7 – 42
x^{2} – 7x – 42 = 0
solve, x = 21
so breadth = 2*21/3

Incorrect

Explanation:
Radius = x, so breadth = (2x/3), length = 33
So l × b = ᴨr^{2} – 924
(2x/3) * 33 = (22/7)x^{2} – 924
x = x^{2}/7 – 42
x^{2} – 7x – 42 = 0
solve, x = 21
so breadth = 2*21/3

Question 8 of 15

8. Question

1 points

Category: Quantitative Aptitude

A, B and C can do a piece of work in 20, 40 and 60 days respectively. A starts the work and is assisted by B and C on every alternate day starting with B on the first day. What is the number of days in which the work will get completed this way?

Correct

Explanation:
Work done on first day by A and B = (1/20 + 1/40) = 3/40
Work done on second day by A and C = (1/20 + 1/60) = 4/60 = 1/15
So work done in 2 days = 3/40 + 1/15 = 17/120
Multiply by 7 both sides to make 17/120 near to 1
This gives
work done in 2*7 days = 17*7/120 = 119/120
so after 14 days, work left is 1 – 119/120 = 1/120
on 15th day A and B’s turn, they do 3/40 work in 1 day so 1/120 work in (1/120)*(40/3) = 1/9th day. So total 14 1/9 days

Incorrect

Explanation:
Work done on first day by A and B = (1/20 + 1/40) = 3/40
Work done on second day by A and C = (1/20 + 1/60) = 4/60 = 1/15
So work done in 2 days = 3/40 + 1/15 = 17/120
Multiply by 7 both sides to make 17/120 near to 1
This gives
work done in 2*7 days = 17*7/120 = 119/120
so after 14 days, work left is 1 – 119/120 = 1/120
on 15th day A and B’s turn, they do 3/40 work in 1 day so 1/120 work in (1/120)*(40/3) = 1/9th day. So total 14 1/9 days

Question 9 of 15

9. Question

1 points

Category: Quantitative Aptitude

How many words can be made consisting of 2 consonants and 2 vowels out of 8 consonants and 3 vowels available?

Correct

Explanation:
For consonants, ways are 8C2 and for vowels, ways are 3C2
And for 4 words arrangement, ways are = 4!
So total = 8C2 * 3C2 * 4!

Incorrect

Explanation:
For consonants, ways are 8C2 and for vowels, ways are 3C2
And for 4 words arrangement, ways are = 4!
So total = 8C2 * 3C2 * 4!

Question 10 of 15

10. Question

1 points

Category: Quantitative Aptitude

There are 3 red balls, 5 blue balls and 2 white balls in a bag from which 2 balls are chosen randomly. What is the probability that at most one ball is red?

Correct

Explanation:
Case 1: 0 red ball
7C2/10C2 = 7/15
Case 2: 1 red ball and other any of blue or white
3C1*7C1/10C2 = 7/15
Add the two cases

Incorrect

Explanation:
Case 1: 0 red ball
7C2/10C2 = 7/15
Case 2: 1 red ball and other any of blue or white
3C1*7C1/10C2 = 7/15
Add the two cases

Question 11 of 15

11. Question

1 points

Category: Quantitative Aptitude

Directions (11-15): What will come in place of question mark (?) to complete the series following a certain pattern?