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**Direction (1-3): The bar graph given below represents the total employees and male employees (in ‘000) of a company, during the period of 2013 to 2016. **

**1) What is the ratio of male and female employees respectively in 2015? **

a) 12 : 7

b) 15 : 7

c) 19 : 11

d) 5 : 13

**2) In 2016 male employees is how much percent more than the female employees? **

a) 33.33 %

b) 37.50%

c) 54 %

d) 66.66%

**3) In 2014 female employees is what percent of total employees in the same year? **

a) 62.96

b) 37.03

c) 20

d) 31.13

**4) Which of the following is true for the given numbers?**

a) 9/29 < 13/33 < 32/47 < 20/47

b) 9/29 < 13/33 < 20/47 < 32/27

c) 9/29 < 13/33 < 20/47 < 32/47

d) 9/29 < 20/47 < 13/33 < 2/47

**5) The marked price of an article is 420 and its selling price is 350.What is the discount rate (up to one full digit of decimal) given on item?**

a) 16%

b) 15.8%

c) 16.6%

d) 18.3%

**6) Find the median of the data -3-2, 5, 1, 5, -1, -4, 2, 8, 11, 6. **

a) 2

b) 2.5

c) 2.75

d) 3

**7) Bino started a business with Rs. 2,000 and after 6 months Cabby joined the business with Rs. 7,500. Find the ratio of their profit at the end of the year?**

a) 8 : 1

b) 8 : 15

c) 8 : 5

d) None of these

**8) What is the volume of a right circular cone whose height is 20 m and radius is one fourth of its height? [Use π = 3]**

a) 420 m^{3}

b) 500 m^{3}

c) 540 m^{3}

d) 660 m^{3}

**9) If a acute angle of a right triangle is 55°, what will be the value of the other acute angle?**

a) 55°

b) 40°

c) 45°

d) 35°

**10) If (2√2 + 6√5)x = 2 and (3√2 – 9√5)y = 3, then find the value of (1/x + 1/y).**

a) 6√2

b) 4

c) 2√2

d) 2

**Answers :**

**1) Answer: C**

Males in 2015 = 38000

Females in 2015 = 60000 – 38000 = 22000

Ratio = 38000 : 22000

19 : 11

**2) Answer: D**

Males in 2016 = 40

Females in 2016 = 64 – 40 = 24

Required Percent = ((40-24))/24×100 = 16/24×100 = 66.6%

**3) Answer: B**

Females in 2014 = 20

Total employees in 2014

Required percent = 20/54×100=37.03%

**4) Answer: C **

9/29 = 0.31

13/33 = 0.39,

20/47 = 0.42

32/47 = 0.68,

0.31< 0.39 < 0.42 < 0.68

So, 9/29 < 13/33 < 20/42 < 32/47

**5) Answer: C**

Marked price of article = 420

Selling price= 350

Discount% = (420 – 350)/420 × 100 = 70/420 × 100 = 16.6%

**6) Answer: B**

Writing data in ascending order **–**

-4, -2, -1, 1, 2, 5, 5, 6, 8, 11

n = 10 (Even)

∴ Median = 1/2 [n/2 ^{th} term + (n/2+1)^{th} term]

=1/2[5 ^{th} term + 6 ^{th} term]

=1/2 × [2+5] = 3.5

**7) Answer: B**

Solution: According to the question.

** Bino : cabby**

Investment 4 : 15

Time 2 : 1

Profit 8x : 15x

Profit ratio will be, Bino : Cabby = 8 : 15

**8) Answer: B **

Radius of cone = 1/4 × 20 = 5 m

Volume = (1/3) π r^{2} h, where r is the radius and h is the height of cone.

= 1/3 × 3 × 5^{2 }× 20 = 500 m^{3}

**9) Answer: D**

180° = ∠A +∠B +∠C

180° = ∠A + 90° + 55°

180° – 145° = ∠A

∠A = 35°

**10) Answer: C **

(2√2 + 6√5)x = 2

2(√2 + 3√5)x = 2

(√2 + 3√5)x = 1

1/x = (√2 + 3√5) —(1)

And, (3√2 – 9√5)y = 3

3(√2 – 3√5)y = 3

(√2 – 3√5)y = 1

1/y = (√2 – 3√5) —(2)

Adding eq. (1) and eq. (2), we get

1/x + 1/y = √2 + 3√5 + √2 – 3√5

(1/x + 1/y) = 2√2

Hence, option c.