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Quantitative Aptitude DI - Oct 15 2020

Here we are providing new series of Quantitative Aptitude Questions for upcoming exams, so the aspirants can practice it on a daily basis.

Study the following information carefully and answer the given questions:

The given chart shows the number of students in three different schools in three different years.

1) What is the difference between the total number of students from A in all the three years together and the number of boys from A in three years together?

Statement I: The ratio of the number of boys to girls from A in 2015 is 3:2 and the number of girls from A in 2014 is 20 more than that of the number of boys from A in 2016.

Statement II: If the total number of students from A in 2014, 2015 and 2016 60%, 40% and 50% respectively are girls.

a) Only I

b) Only II

c) Either I or II sufficient

d) All I and II necessary to the answer the question

e) The question can’t be answered even with all I and II

2) What is the ratio of the boys to girls from C in 2014?

Which of the following statement is sufficient to answer the question?

a) Ratio of the boys to girls from A and B in 2014 is 1: 3 and 2: 1 respectively and total students in 2014 from all the schools together 60% are girls.

b) The number of girls from C in 2014 is half of the number of boys from B in 2015.

c) Ratio of the number of boys to girls from C in all the years together is 3: 2 and the 50% of the students from C in 2015 is girls.

d) 40% of the students from C in 2014 is left and in this 80% of the students is girl.

e) Cannot be determine

3) Number of girls from B in all the years together is what percent of the total number of students from B in all the years together?

Statement I: Total number of students from B in 2017 is 280 and the ratio of the number of girls to boys from B in 2017 is 4: 3.

Statement II: 60% of the total number of students from B in 2014 to 2017 is boys.

a) Only I

b) Only II

c) Either I or II sufficient

d) All I and II necessary to the answer the question

e) The question can’t be answered even with all I and II

4) Ratio of the boys to girls from A, B and C in 2016 is 7: 8, 4: 3 and 2: 3 respectively and the ratio of total number of boys from A, B and C in 2017 to the number of boys from A, B and C in 2016 is 1: 2. Total number of students from A, B and C in 2017 is 360.

From the statement given in the above question which of the following can be determined.

a) Number of girls from A, B and C in 2017

b) Average number of boys from C in 2014 to 2017

c) Ratio of number of boys to girls from A, B and C in 2017

d) Difference between the number of girls and boys from all the three schools in all the years together (2014, 2015, 2016 and 2017)

a) Only A

b) Only A and D

c) Only A, C and D

d) Only A and C

e) All A, B, C and D

5) 40% of the students from C in all the years together is girls and the number of boys from C in 2015 and 2016 is 180 and 80 respectively. What is the ratio of the number of girls from C in 2014, 2015 and 2016?

a) 7: 12: 7

b) 2: 5: 2

c) 3: 11: 3

d) 6: 13: 6

e) None of these

Answers :

1) Answer: B

From statement I,

Girls from A in 2015 = 2/5 * 250 =100

Boys from A in 2015 = 3/5 * 250 =150

So, Statement I alone is not sufficient to answer the question.

From statement II,

Girls from A in 2014 = 60/100 * 400 = 240

Boys from A in 2014 = 400 – 240 = 160

Girls from A in 2015 = 40/100 * 250 = 100

Boys from A in 2015 = 250 – 100 = 150

Girls from A in 2016 = 50/100 * 300 = 150

Boys from A in 2016 = 300 – 150 = 150

Total number of students from A = 400 + 250 + 300 = 950

Boys from A = 150 + 150 + 160 = 460

Difference = 950 – 460 = 490

So, Statement II alone is sufficient to answer the answer.

2) Answer: A

From option (A)

Girls from A in 2014 = 400 * ¾ =300

Girls from B in 2014 = 1/3 * 300 =100

Number of girls in 2014 = (400 + 300 + 200) * 60/100 = 540

Number of girls from C in 2014 = 540 – 300 – 100 = 140

Number of boys from C in 2014 = 200 – 140 = 60

Required ratio = 60: 140 = 3: 7

This satisfied the given condition.

From option (B)

Number of boys from B in 2015 is not given

This not satisfied.

From option (C)

Number of girls from C in 2015 = 300 * 50/100 = 150

we cannot find the answer of the question.

This not satisfied.

From option (D)

Number of students left from C in 2014 = 200 * 40/100 = 80

Number of girls left from C in 2014 = 80 * 80/100 = 64

This not satisfied the given condition.

3) Answer: D

From statement I,

Number of girls from B in 2017 = 4/7 * 280=160

Number of boys from B in 2017 = 3/7 * 280=120

So, statement I alone is not sufficient to answer the question.

From statement II,

60% of the total number of students from B in 2014 to 2017 is boys.

So, statement II alone is not sufficient to answer the question.

From I and II,

Total number of students from B in 2014 to 2017 = 300 + 100 + 350 + 280 = 1030

Number of boys from B in 2014 to 2017 = 1030 * 60/100 = 618

Number of boys from B in 2014 to 2016 = 618 – 120 = 498

Number of girls from B in 2014 to 2016 = (300 + 100 + 350) – 498 = 252

Required percentage = 252/750 * 100 = 33.6%

Both the statements are necessary to answer the question.

4) Answer: D

Number of boys from A in 2016=7/15 * 300=140

Number of girls from A in 2016=8/15 * 300=160

Number of boys from B in 2016=4/7 * 350=200

Number of girls from B in 2016=3/7 * 350=150

Number of girls from C in 2016=3/5 * 150=90

Number of boys from C in 2016=2/5 * 150=60

Number of boys in 2016=140 + 200 + 60=400

Number of boys in 2017=1/2 * 400=200

Number of girls in 2017=360 – 200=160

Required ratio boys to girls in 2017 = 200: 160=5:4

5) Answer: A

Number of girls from C in 2015 = 300 – 180 = 120

Number of girls from C in 2016 = 150 – 80 = 70

Total number of girls from C = (200 + 300 + 150) * 40/100 = 260

Number of girls from C in 2014 = 260 – 120 – 70 = 70

Required ratio = 70: 120: 70

= 7: 12: 7