**Directions: 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.**

- What is the amount invested by A?

Statement I: Total amount received by B after 3 years is Rs.4800 at compound interest.

Statement II: B and A invested their amount at the rate of 10% per annum.

Statement III: A and B 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.

Only I and II are sufficientOnly II and III are sufficientEither II alone or I and II together to sufficientAll I, II and III necessary to the answer the questionThe question can’t be answered even with all I, II and IIIOption E

From statement I,

Let the amount invests by B = 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,

Let the amount invests by A = x

Let amount invests by Bl = 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. - What is the sum of the ages of person 1 and 2?

Statement I: Ratio of the ages of 1 to 3 is 4: 5 and the ratio of the ages of 1 to 4 is 1: 3.

Statement II: Sum of the ages of 2,3 and 4 is 125 years and 5 years ago the ratio of the ages of 1 to 4 is 3: 11.

Statement III: 4’s age is 200% more than that of 1’s age and the difference between the ages of 1 and 4 is 40 years.

Only I and II are sufficientOnly II and III are sufficientEither II alone or I and II together to sufficientAll I, II and III necessary to the answer the questionThe question can’t be answered even with all I, II and IIIOption A

From statement I,

p1/p3 = 4/5

p1/p4 = 1/3

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

From Statement II,

p2 + p3 + p4 = 125

(p1 – 5)/(p4 – 5) = 3/11

So, Statement II alone is not sufficient to answer the question

From statement III,

p4 = 300/100 * p1

p4: p1 = 3: 1

2x = 40

x = 20

p1= 20 years

p4 = 3 * 20 = 60 years

So, Statement III alone is not sufficient to answer the question

From statement I and II,

p1 and p4’s present age be x and 3x respectively

(p1 – 5)/(p4 – 5) = 3/11

(x – 5)/(3x – 5) = 3/11

= > 11x – 55 = 9x – 15

= > 2x = 40

= > x = 20

Present age of p1 and p4 is 20 and 60 years respectively

p3’s present age = 20/4 * 5 = 25 years

p2’s present age = 125 – (25 + 60) = 125 – 85 = 40 years

Sum of the ages of p1 and p2 = (20 + 40) = 60 years

Hence, statement I and II alone is sufficient to answer the given question. - What is the total surface area of the conical box?

Statement I: Ratio of height of the box to height of the cylindricall box is 2: 1.

Statement II: Height of the cylindrical box 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.

Only I and II are sufficientOnly II and III are sufficientEither II alone or I and II together to sufficientAll I, II and III necessary to the answer the questionThe question can’t be answered even with all I, II and IIIOption E

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 - There are four members p1, p2, p3 and p4 partners in the business. What is the profit share of p2?

Statement I: p1 and p2 started the business with investment of Rs.x and Rs.2x respectively and after 6 months p3 and p4 joined them with investment of Rs.(x + 1000) and Rs.3x respectively.

Statement II: At the end of one years and profit Share of p3 is Rs.4000.

Statement III: At the end of one year the profit ratio of p3 and p4 is 2:3.

Only I and II are sufficientOnly II and III are sufficientEither II alone or I and II together to sufficientAll I, II and III necessary to the answer the questionThe question can’t be answered even with all I, II and IIIOption D

From statement I,

p1= x

p2 = 2x

p3= (x + 1000)

p4 = 3x

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

From Statement II,

p3’s share = Rs.4000

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

From statement III,

Profit ratio of p3/p4 = 2/3

So, Statement III alone is not sufficient to answer the question

From I, II and III

Profit ratio of p1, p2, p3 and p4 = 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

p2’s profit share = 4/2 * 4000 = 8000

All the statements are necessary to answer the question. - What is the initial quantity of the juice in vessel A?

Statement I: Ratio of the juice 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 juice 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 juice to water becomes vessel A is 5: 4.Only I and II are sufficientOnly II and III are sufficientEither II alone or I and II together to sufficientAll I, II and III necessary to the answer the questionThe question can’t be answered even with all I, II and IIIOption A

From statement I,

juice and water in A = 3: 2

juice 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 juice 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 juice and water in C = 5: 4

So, Statement III alone is not sufficient to answer the question

From I and II

juice 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

juice in vessel A = 3 * 6 = 18 liters

So, Statement I and II are necessary to answer the question. - What is the difference between the total number of employees from A in all the three years together and the number of males from Company A in three years together?

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

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

Only IOnly IIEither I or II sufficientAll I and II necessary to the answer the questionThe question can’t be answered even with all I and IIOption B

From statement I,

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

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

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

From statement II,

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

Males from A in 2014 = 400 – 240 = 160

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

Males from A in 2015 = 250 – 100 = 150

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

Males from A in 2016 = 300 – 150 = 150

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

Males from A = 150 + 150 + 160 = 460

Difference = 950 – 460 = 490

So, Statement II alone is sufficient to answer the answer. - What is the ratio of the males to females from company C in 2014?

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

Ratio of the males to females from company A and B in 2014 is 1: 3 and 2: 1 respectively and total employees in 2014 from all the companies together 60% are females.The number of females from C in 2014 is half of the number of males from B in 2015.Ratio of the number of males to females from C in all the years together is 3: 2 and the 50% of the employees from C in 2015 is females.40% of the employees from C in 2014 is left and in this 80% of the employees is girlCannot be determineOption A

From option (A)

Females from A in 2014 = 400 * ¾ =300

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

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

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

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

Required ratio = 60: 140 = 3: 7

This satisfied the given condition.

From option (B)

Number of males from B in 2015 is not given

This not satisfied.

From option (C)

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

we cannot find the answer of the question.

This not satisfied.

From option (D)

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

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

This not satisfied the given condition. - Number of females from B in all the years together is what percent of the total number of employees from B in all the years together?

Statement I: Total number of employees from B in 2017 is 280 and the ratio of the number of females to males from B in 2017 is 4: 3.

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

Only IOnly IIEither I or II sufficientAll I and II necessary to the answer the questionThe question can’t be answered even with all I and IIOption D

From statement I,

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

Number of males 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 employees from B in 2014 to 2017 is males.

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

From I and II,

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

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

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

Number of females 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. - Ratio of the males to females from A, B and C in 2016 is 7: 8, 4: 3 and 2: 3 respectively and the ratio of total number of males from A, B and C in 2017 to the number of males from A, B and C in 2016 is 1: 2. Total number of employees from A, B and C in 2017 is 360.

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

Number of females from A, B and C in 2017Average number of males from C in 2014 to 2017Ratio of number of males to females from A, B and C in 2017Difference between the number of females and males from all the three companys 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 Dsum of males and femalesOption C

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

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

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

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

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

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

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

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

Number of females in 2017=360 – 200=160

Required ratio males to females in 2017 = 200: 160=5:4 - 40% of the employees from C in all the years together is females and the number of males from C in 2015 and 2016 is 180 and 80 respectively. What is the ratio of the number of females from C in 2014, 2015 and 2016?
7:12:75:14:53:17:52:17:91:7:9Option A

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

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

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

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

Required ratio = 70: 120: 70

= 7: 12: 7

**Directions: The following questions are accompanied by three statements I and II. You have to determine which statement/s is/are sufficient to answer the question.**