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