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[WpProQuiz 7000]
Directions (1 – 5): 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
Direction (6 – 10): The following questions are accompanied by three statements I, II and III. You have to determine which statement/s is/are sufficient to answer the question.
6) What is the amount invested by Sam?
Statement I: Total amount received by Rahul after 3 years is Rs.4800 at compound interest.
Statement II: Rahul and Sam invested their amount at the rate of 10% per annum.
Statement III: Rahul and Sam invested their amount at simple interest and compound interest respectively and the difference between the interests received by both after 2 years is Rs.1200.
a) Only I and II are sufficient
b) Only II and III are sufficient
c) Either II alone or I and II together to sufficient
d) All I, II and III necessary to the answer the question
e) The question can’t be answered even with all I, II and III
7) What is the sum of the ages of A and B?
Statement I: Ratio of the ages of A to C is 4: 5 and the ratio of the ages of A to D is 1: 3.
Statement II: Sum of the ages of B, C and D is 125 years and 5 years ago the ratio of the ages of A to D is 3: 11.
Statement III: D’s age is 200% more than that of A’s age and the difference between the ages of A and D is 40 years.
a) Only I and II are sufficient
b) Only II and III are sufficient
c) Either II alone or I and II together to sufficient
d) All I, II and III necessary to the answer the question
e) The question can’t be answered even with all I, II and III
8) What is the total surface area of the cone?
Statement I: Ratio of height of the cone to height of the cylinder is 2: 1.
Statement II: Height of the cylinder is equal to the perimeter of the square whose area is 9 cm2.
Statement III: Radius of the cone is equal to length of the rectangle whose perimeter is 20 cm.
a) Only I and II are sufficient
b) Only II and III are sufficient
c) Either II alone or I and II together to sufficient
d) All I, II and III necessary to the answer the question
e) The question can’t be answered even with all I, II and III
9) There are four A, B, C and D partners in the business. What is the profit share of B?
Statement I: A and B started the business with investment of Rs.x and Rs.2x respectively and after 6 months C and D joined them with investment of Rs.(x + 1000) and Rs.3x respectively.
Statement II: At the end of one years and profit Share of C is Rs.4000.
Statement III: At the end of one year the profit ratio of C and D is 2:3.
a) Only I and II are sufficient
b) Only II and III are sufficient
c) Either II alone or I and II together to sufficient
d) All I, II and III necessary to the answer the question
e) The question can’t be answered even with all I, II and III
10) What is the initial quantity of the milk in vessel A?
Statement I: Ratio of the milk and water in vessel A and B is 3: 2 and 4: 3 respectively.
Statement II: 28 liters of the mixture of B is poured into A and then the ratio of the milk and water in vessel A becomes 17: 12.
Statement III: 10 liters of the mixture from vessel C is taken out and is poured into vessel A, then the ratio of the milk to water becomes vessel A is 5: 4.
a) Only I and II are sufficient
b) Only II and III are sufficient
c) Either II alone or I and II together to sufficient
d) All I, II and III necessary to the answer the question
e) The question can’t be answered even with all I, II and III
Answers :
Directions (1-5) :
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
Directions (6-10) :
6) Answer: e)
From statement I,
Let the amount invests by Rahul = x
4800 = x * (1 + R/100)3
So, Statement I alone is not sufficient to answer the question.
From statement II,
R = 10%
So, Statement II alone is not sufficient to answer the question.
From statement III,                  Â
Let the amount invests by Sam = x
Let amount invests by Rahul = y
SI = y * 2 * R/100 = yR/50
CI = x * (1 + R/100)2 – x
CI – SI = 1200
or
SI – CI = 1200
So, Statement III alone is not sufficient to answer the question.
7) Answer: a)
From statement I,
A/C = 4/5
A/D = 1/3
So, Statement I alone is not sufficient to answer the question
From Statement II,
B + C + D = 125
(A – 5)/(D – 5) = 3/11
So, Statement II alone is not sufficient to answer the question
From statement III,
D = 300/100 * A
D: A = 3: 1
2x = 40
x = 20
A = 20 years
D = 3 * 20 = 60 years
So, Statement III alone is not sufficient to answer the question
From statement I and II,
A and D’s present age be x and 3x respectively
(A – 5)/(D – 5) = 3/11
(x – 5)/(3x – 5) = 3/11
= > 11x – 55 = 9x – 15
= > 2x = 40
= > x = 20
Present age of A and D is 20 and 60 years respectively
C’s present age = 20/4 * 5 = 25 years
B’s present age = 125 – (25 + 60) = 125 – 85 = 40 years
Sum of the ages of A and B = (20 + 40) = 60 years
Hence, statement I and II alone is sufficient to answer the given question.
9) Answer: e)
From statement I,
Height of cone/height of the cylinder = 2/1
So, Statement II alone is not sufficient to answer the question
From statement II,
Area of the square = 9
Side of the square = 3
Perimeter of the square = 3 * 4 = 12 cm
Height of the cylinder = 12 cm
So, Statement II alone is not sufficient to answer the question
From statement III,
Radius of the cone = length of the rectangle
Perimeter of the rectangle = 2 * (l + b) = 20
So, Statement III alone is not sufficient to answer the question
10) Answer: d)
From statement I,
A = x
B = 2x
C = (x + 1000)
D = 3x
So, Statement I alone is not sufficient to answer the question
From Statement II,
C’s share = Rs.4000
So, Statement I alone is not sufficient to answer the question
From statement III,
Profit ratio of C/D = 2/3
So, Statement III alone is not sufficient to answer the question
From I, II and III
Profit ratio of A, B, C and D = x * 12: 2x * 12: (x + 1000) * 6: 3x * 6
=12x: 24x: (6x + 6000): 18x
(6x + 6000)/18x = 2/3
6x + 6000 = 12x
x = 1000
Profit ratio = 12000: 24000: 12000: 18000
= 2: 4: 2: 3
B’s profit share = 4/2 * 4000 = 8000
All the statements are necessary to answer the question.
10) Answer: a)
From statement I,
Milk and water in A = 3: 2
Milk and water in B = 4: 3
So, Statement I alone is not sufficient to answer the question
From statement II,
Vessel B mixture = 28
Ratio of the milk and water in A = 17: 12
So, Statement II alone is not sufficient to answer the question
From statement III,
Mixture of C = 10
Ratio of milk and water in C = 5: 4
So, Statement III alone is not sufficient to answer the question
From I and II
Milk in 28 liters of B = 4/7 * 28 = 16 liters
Water in 28 liters of B = 3/7 * 28 = 12 liters
3x + 16/2x + 12 = 17/12
34x + 204 = 36x + 192
2x = 12
x = 6
Milk in vessel A = 3 * 6 = 18 liters
So, Statement I and II are necessary to answer the question.
