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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

The ratio of number of boys to girls in a school is 3 : 2. 40% of the girls and 80% of the boys took part in annual sports day. What percentage of the total students did not take part in the annual sports day?

Correct

Explanation:
3 : 2
80% of boys took part, means 20% did not take part. Similarly 60% of girls did not take part
So the students who did not take part is (20/100)*3x + (60/100)*2x = 180x/100
Now total students in school is 3x+2x = 5x
So, required% = [(180x/100)/5x] * 100

Incorrect

Explanation:
3 : 2
80% of boys took part, means 20% did not take part. Similarly 60% of girls did not take part
So the students who did not take part is (20/100)*3x + (60/100)*2x = 180x/100
Now total students in school is 3x+2x = 5x
So, required% = [(180x/100)/5x] * 100

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

If [a/(1-a)] + [b/(1-b)] + [c/(1-c)] = 3, then the value of [1/(1-a)] + [1/(1-b)] + [1/(1-c)] is

A tradesman sold an article at 10% loss. If the selling price was increased by Rs 50, there would have been a gain of 10%. The cost price of the article is

Correct

Explanation:
We have a shortcut for this:
CP = [(increase in price)*100]/[overall profit% made]
CP = 50*100/[10 – (-10)]

Incorrect

Explanation:
We have a shortcut for this:
CP = [(increase in price)*100]/[overall profit% made]
CP = 50*100/[10 – (-10)]

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Directions (7-8): The following pie-chart represents the item-wise costs of 4 items. Study the charts and answer the questions:

If the total manufacturing cost is Rs 10,800, then cost of item B is

Correct

Explanation:
(151.2)/360 * 10,800

Incorrect

Explanation:
(151.2)/360 * 10,800

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Directions (7-8): The following pie-chart represents the item-wise costs of 4 items. Study the charts and answer the questions:

The difference of cost of item A and item C is

Correct

Explanation:
In DI, when you are not given the related information in question, like here total cost is not given and options does not contain Cannot be determined, take the information from above question
So here
(144-43.2)/360 * 10,800

Incorrect

Explanation:
In DI, when you are not given the related information in question, like here total cost is not given and options does not contain Cannot be determined, take the information from above question
So here
(144-43.2)/360 * 10,800

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

If [x^{20}+1]/x^{10} = 6, then the value of [x^{60}+1]/x^{30} equals

4 men and 6 women can complete a piece of work in 15 days. The same work can be completed by 5 men and 10 women in 11 days. The number of days in which 10 women can complete the work is

Correct

Explanation:
4m + 6w = 15 days…………………..(i)
So 60m + 90w = 1 day
And also 5m + 10w = 11 days
So 55m + 110w = 1 day
So now 60m + 90w = 55m + 110w
Or 1 m = 4 w
From I, 4*4w + 6w = 15 days, gives 22 women can complete the work in 15 days so 10 women in (15*22)/10 = 33 days

Incorrect

Explanation:
4m + 6w = 15 days…………………..(i)
So 60m + 90w = 1 day
And also 5m + 10w = 11 days
So 55m + 110w = 1 day
So now 60m + 90w = 55m + 110w
Or 1 m = 4 w
From I, 4*4w + 6w = 15 days, gives 22 women can complete the work in 15 days so 10 women in (15*22)/10 = 33 days