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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

The population of a town is 3,11,250. The ratio of women to men is 43:40. If there are 24% literate among women and 10% illiterate among men. Find the total number of literate persons in the town?

Correct

Answer – 2) 1, 73, 700
Explanation:
Population of town= 3, 11, 250
Number of women in town= (311250 / (43 + 40)) * 43
= 161250
Number of literate women= 161250 * (24/100)
= 38700
Number of men in town= (311250 / (43 + 40)) * 40
= 150000
Number of literate men in town= 150000 * ((100 – 10) / 100)
= 135000
Total literate persons in town= 38700 + 135000
= 173700

Incorrect

Answer – 2) 1, 73, 700
Explanation:
Population of town= 3, 11, 250
Number of women in town= (311250 / (43 + 40)) * 43
= 161250
Number of literate women= 161250 * (24/100)
= 38700
Number of men in town= (311250 / (43 + 40)) * 40
= 150000
Number of literate men in town= 150000 * ((100 – 10) / 100)
= 135000
Total literate persons in town= 38700 + 135000
= 173700

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

Diameter of a wheel is 3 meter. The wheel revolves 28 times in a minute. To cover 5.280 Km distance, the wheel will take how much time?

Correct

Answer – 2) 20 minutes
Explanation:
Diameter of the wheel= 3m
Circumference= ∏ * diameter
= (22/7) * 3
= 66/7
Since a wheel covers a distance equal to its circumference in one revolution therefore distance covered in 28 revolutions= 28 * (66/7)
= 264m
264 meters covered= 1 minute
1 meter covered= (1/264) minute
5280 meters covered= (5280 / 264)
= 20 minutes

Incorrect

Answer – 2) 20 minutes
Explanation:
Diameter of the wheel= 3m
Circumference= ∏ * diameter
= (22/7) * 3
= 66/7
Since a wheel covers a distance equal to its circumference in one revolution therefore distance covered in 28 revolutions= 28 * (66/7)
= 264m
264 meters covered= 1 minute
1 meter covered= (1/264) minute
5280 meters covered= (5280 / 264)
= 20 minutes

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

A man and a boy can complete a work together in 24 days. If for the last six days boy alone does the work then it is completed in 28 days. How long the man will take to complete the work alone?

Correct

Answer – 4) 36 days
Explanation:
According to questions
1M + 1B complete the work in 24 days.
Last 6 days boy alone does work. They worked together for 22 days (Because the whole work complete in 28 days).
Assume total work= 24 units
(1M + 1B) per day work= 1 unit
1M + 1B do the work in 22 days= 22 units work
Rest work= 24 – 22 units= 2 units
Rest work done by Boy in 6 days.
Hence, per day work of boy= 2/6
= 1/3 unit per day
Man per day work= 1- 1/3
= 2/3
Man alone can do work= Total Work/ Efficiency of man
= (24/2) * 3
= 12 * 3
= 36 days

Incorrect

Answer – 4) 36 days
Explanation:
According to questions
1M + 1B complete the work in 24 days.
Last 6 days boy alone does work. They worked together for 22 days (Because the whole work complete in 28 days).
Assume total work= 24 units
(1M + 1B) per day work= 1 unit
1M + 1B do the work in 22 days= 22 units work
Rest work= 24 – 22 units= 2 units
Rest work done by Boy in 6 days.
Hence, per day work of boy= 2/6
= 1/3 unit per day
Man per day work= 1- 1/3
= 2/3
Man alone can do work= Total Work/ Efficiency of man
= (24/2) * 3
= 12 * 3
= 36 days

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

A man covers 9/20 by bus and the remaining 10 Km on foot. Find his total journey (in Km)?

Correct

Answer – 5) 18.18
Explanation:
Man covers 9/20 of the journey by bus
= Remaining Journey= 1 – (9/20)
= 11/20
According to question,
11/20 of the journey= (20/11) * 10
= 18.18 Km

Incorrect

Answer – 5) 18.18
Explanation:
Man covers 9/20 of the journey by bus
= Remaining Journey= 1 – (9/20)
= 11/20
According to question,
11/20 of the journey= (20/11) * 10
= 18.18 Km

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A bag contains 75 balls out of which at least 15 balls are red. If three balls are picked at random from the bag, what is the probability that one of the balls is not red?
I. Only 35 balls in the bag are blue.
II. When a ball is picked at random from the bag, the probability of the ball being white is 1/5.
III. When two balls are picked at random from the bag, the probability of both the ball being green is 12/925.

Correct

Answer – 5) All three statements together are not sufficient to answer the question.
Explanation:

From I
We know about 15 + 35= 50 balls
But we do not know the color of remaining 25 balls

From II
When a ball is picked at random from the bag, the probability of the ball being white= 1/5
=15/75
So, the number of white balls= 15
Using I and II
We know about 15 + 35 + 15= 65 balls
But still we do not know the color of remaining 10 balls

From III
When two balls are picked at random from the bag, the probability of both the ball being green = 12/925 ^{n}C_{2} / ^{75}C_{2} = 12/925
Where n is number of green balls
N(n-1) / (75 * 74) = 12/925
N=9
Using I and III or II and III or all I, II and III together we cannot determine the exact number of red balls in the bag.

Incorrect

Answer – 5) All three statements together are not sufficient to answer the question.
Explanation:

From I
We know about 15 + 35= 50 balls
But we do not know the color of remaining 25 balls

From II
When a ball is picked at random from the bag, the probability of the ball being white= 1/5
=15/75
So, the number of white balls= 15
Using I and II
We know about 15 + 35 + 15= 65 balls
But still we do not know the color of remaining 10 balls

From III
When two balls are picked at random from the bag, the probability of both the ball being green = 12/925 ^{n}C_{2} / ^{75}C_{2} = 12/925
Where n is number of green balls
N(n-1) / (75 * 74) = 12/925
N=9
Using I and III or II and III or all I, II and III together we cannot determine the exact number of red balls in the bag.

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

Study the following table carefully to answer the following questions
Percentage of the students studying various disciplines in the university

How many male students are studying Sociology and commerce together?

Correct

Answer – 3) 872
Explanation
Male students in Sociology and Commerce
=[ 4800 x 24/100 x 3/8 ] + [ 4800 x 22/100 x 5/12 ]
=432 + 440
=872

Incorrect

Answer – 3) 872
Explanation
Male students in Sociology and Commerce
=[ 4800 x 24/100 x 3/8 ] + [ 4800 x 22/100 x 5/12 ]
=432 + 440
=872

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Study the following table carefully to answer the following questions
Percentage of the students studying various disciplines in the university

What is the ratio between the number of female students Management and Computer respectively?

Correct

Answer – 4) 16:27
Explanation
Req.Ratio = 4800 x 12/100 x 3/9 : 4800 x 18/100 x 3/8
=4 : 27/4
=16: 27

Incorrect

Answer – 4) 16:27
Explanation
Req.Ratio = 4800 x 12/100 x 3/9 : 4800 x 18/100 x 3/8
=4 : 27/4
=16: 27

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Study the following table carefully to answer the following questions
Percentage of the students studying various disciplines in the university

What is the total number of female students studying Commerce, English and Engineering together ?

Correct

Answer – 5) 1000
Explanation
Female students in Commerce , English and Engineering
= 4800 x 22/100 x 7/12 + 4800 x 7/100 x 4/7 + 4800 x 9/100 x 4/9
= 616 + 192 + 192
=1000

Incorrect

Answer – 5) 1000
Explanation
Female students in Commerce , English and Engineering
= 4800 x 22/100 x 7/12 + 4800 x 7/100 x 4/7 + 4800 x 9/100 x 4/9
= 616 + 192 + 192
=1000

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

Study the following table carefully to answer the following questions
Percentage of the students studying various disciplines in the university

What is the difference between the male students studying Sociology and Female students studying Anthropology ?

Correct

Answer – 2) 176
Explanation
Req.difference = [4800 x 24/100 x 3/8] – [4800 x 8/100 x 2/3 ]
=432 – 256
=176

Incorrect

Answer – 2) 176
Explanation
Req.difference = [4800 x 24/100 x 3/8] – [4800 x 8/100 x 2/3 ]
=432 – 256
=176