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__START TEST__**1.Directions (1-5): There are four companies (P, Q, R, and S) in which 2000 employees (male + female) work together. The ratio of the number of males and females in all four companies together is 3:2. The total number of males in company P is 250 and the total workers in company P are 450. The ratio of the number of female workers in company P, R, and S is 5:6:4. An equal number of male and female work in company Q. The ratio of the total workers in company R and S is 3:2.**

Find the total number of workers in company R and S?

1. 1150

2. 1050

3. 950

4. 1250

5. None of these

2.Find the difference between the total number of females in company P and R to the total number of males in company Q and S.

1. 40

2. 50

3. 60

4. 70

5. 80

3.The number of females in company R is what percent less than the number of males in company S?

1. 10%

2. 15%

3. 20%

4. 25%

5. 30%

4.Find the ratio of the total number of females in company P and company S to the total number of males in company P and company Q.

1. 4:3

2. 6:5

3. 4:5

4. 3:5

5. 5:6

5.The total number of males in company P, R and S is what percent of the total number of females in all the companies?

1. 90%

2. 100%

3. 115%

4. 125%

5. 105%

6.5, 7, 11, 19, 35, (?), 131

1. 66

2. 67

3. 68

4. 77

5. 57

7.15*0.8-22.2+8.8=? – 3.4

1. 2

2. 3

3. 4

4. 5

5. 6

8.x2-21x+98 =0

y2-24y+119=0

1. x > y

2. x ≥ y

3. x = y or relationship can’t be determined.

4. x < y

5. x ≤ y

9.Area of a rectangle is 1500 sq m and respective ratio of its length and breadth is 5:3. Area of a circle is 114 sq m less than that of rectangle then

Quantity 1. Perimeter of rectangle

Quantity 2. Circumference of circle

1. Quantity I > Quantity II

2. Quantity I ≥ Quantity II

3. Quantity I = Quantity II

4. Quantity I < Quantity II

5. Quantity I ≤ Quantity II

9.x2-21x+98 =0

y2-24y+119=0

1. x > y

2. x ≥ y

3. x = y or relationship can’t be determined.

4. x < y

5. x ≤ y

10.What is the volume of the solid metal cone?

Statement: 1 The slant height of the cone is “x” cm.

Statement: 2 The difference between total surface area and curved surface of the cone is “y” cm.

1. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

2. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

3. The data either in statement I alone or in statement II alone is sufficient to answer the question

4. The data given in both statements I and II together are not sufficient to answer the question and

5. The data given in both statements I and II together are necessary to answer the question.

__SOLUTIONS:__**1.Explanation**

Total = 690+460 = 1150

Complete Explanation:

Total workers in all four companies = 2000

Number of males in all four companies = 2000*(3/5) = 1200

Number of females in all four companies = 2000-1200 = 800

Total males in company P = 250

Total females in company P = Total workers – total male workers = 450 – 250 =200

The ratio of the number of female workers in company P, R, and S is 5:6:4

Let the number of female workers in company P, R and S are 5x, 6x and 4x respectively

5x = 200

x = 40

6x = 6*40 = 240

4x =4*40 = 160

Total females in Q = 800-(200+240+160) = 200

In company Q, male = female = 200

Let the number of males in company R and S are y and z respectively.

y + z = 1200 – (250+200) = 750 ………….(1)

also,

(y+240)/(z+160) = 3/2

2y = 3z (putting this in equation (1)

y+z = 750

2y+2z = 1500

3z+2z = 1500

z = 300

therefore, y = 450

2.Answer: 3) 60

Explanation

Males (Q+S) = 200+300 = 500

Females (P+R) = 200+240 = 440

Difference = 500-440 = 60

3.Answer: 3) 20%

Explanation

Females(R) = 240

Males (S) = 300

Difference = 300-240 = 60

Required percentage = (60/300)*100 = 20%

4.Answer: 3) 4:5

Explanation

Females(P+S) = 200+160 = 360

Males (P+Q) = 250+200 = 450

Required ratio = 360:450 = 4:5

5.Answer: 4) 125%

Explanation

Males (P+R+S) = total males – males(Q)

= 1200 – 200

=1000

Total females = 800

Required percentage = (1000/800)*100 = 125%

6.

7.15*0.8-22.2+8.8=? – 3.4

12 +3.4+8.8-22.2 =?24.2 -22.2 =?

2 = ?

8.

Answer: 3) x = y or relationship can’t be determined.

Explanation:

x2-21x+98 =0

x2-7x-14x+98 =0

x2-7x-14x+98 =0

x(x-7)-14(x-7)=0

x=7,147

y2-24y+119=0

y2-7y-17x+119=0

y(y-7)-17(y-7)=0

y=7,17

9..Answer: 1) Quantity I > Quantity II

Explanation:

Let the length and breadth of rectangle be 5x and 4x respectively.

5x*3x = 1500

X = 10, length = 5*10 = 50 and breadth = 3*10 = 30

Perimeter of rectangle = 2(50+30) = 160 m

Area of circle = 1500-114 = 1386sq m

22/7 r2 = 1386

r= 21

Circumference of circle = 2 * 22/7* 21 = 132m

10.

Answer: 5) The data given in both statements I and II together are necessary to answer the question.

Explanation:

Statement:1 Slant height is given.

Statement:2 Total Surface area of cone = (Ï€rL + Ï€r2)

Curved surface area of cone = Ï€rL

Difference = (Ï€rL + Ï€r2) – Ï€rL = Ï€r2(Hence, radius can be obtained)

Combining statements

In statement 1 slant height is given,

form statement 2 radius can be obtained

Using radius and slant height (height of cone can be obtained)

Hence, volume = (1/3)* (Ï€r2)*h can be obtained