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1.

Directions(Q.1 to Q.0 ):

Read the data carefully and wer the questions. Total 846 people watching movie in a multiplex ’P’. Number of adult male who watching movie is 70% more than number of male child, while number of adult female are 60 more than number of male child. Number of female child is $33 frac{1}{3} \%$ less than that of male child.

If another multiplex ’Q’ number of adult female who watching movie is 40% more than male child who watching movie in multiplex ’P’ and number of adult female who watching movie in multiplex ’Q’ is 36% of total people watching movie in that multiplex. Find total people watching movie in multiplex ’P’ is how much more than total people watching movie in multiplex ’Q’?

a

106

b

146

c

116

d

126

e

176

2.

Find average of male child & female child who watching movie in multiplex ’P’?

a

130

b

160

c

110

d

150

e

180

3.

Total adult male who watching movie is what percent more than adult female who watching movie in multiplex ’P’?

a

24.5%

b

27.5%

c

25.5%

d

29.5%

e

32.5%

4.

Directions(Q.4 to Q.8 ):

Study the bar-graph carefully to wer the questions. Bar graph shows the total number of employees working in public and private sectors in 5 different cities.

If number of males working in private sector in city Lucknow is 20% more than the number of females working in same sector and in same city and ratio of male to female working in public sector in Delhi is 12 : 13 then, find the difference between females working in private sector in city Lucknow to male working in public sector in Delhi ? (in thousands)

a

75

b

55

c

45

d

50

e

60

5.

Find the ratio of average of public sector employees in Delhi, Kolkata and Mumbai together to the average of private sector employees in Lucknow and Delhi together?

a

9 : 13

b

17 : 26

c

15 : 23

d

19 : 26

e

26 : 19

6.

If $11 frac{1}{9} \%$ of employees working in public sector in Chennai quits and Joins private sector in Mumbai then, remaining total employees in Chennai are what percent of total employees in Mumbai after the changes?

a

$78 frac{5}{12} \%$

b

$62 frac{3}{5} \%$

c

$87 frac{2}{3} \%$

d

$85 frac{5}{12} \%$

e

$72 \%$

7.

If ratio of employees in three groups A, B and C in public sector in city Delhi is 5 : 8 : 12 and ratio of employees in three group C, B and A in public sector in Mumbai is 2 : 2 : 1. Then, Group ’C’ employees in public sector in city Delhi is what percent more/less than that in Mumbai?

a

60%

b

75%

c

65%

d

80%

e

50%

8.

In how many cities, number of employees in private sector is 25% more than number of employees in public sector?

a

4

b

1

c

2

d

3

e

None of these

9.

Directions(Q.9 to Q.13 ):

What approximate value should come in place of the question mark (?) in the following questions?

12.5% of 511.8 + 37.5% of 95.8 + 3.03 × 6.99 = (?)²

a

11

b

21

c

121

d

28

e

32

10.

$frac{3.99^{2} imes(143.56)^{frac{1}{2}} imes(?)^{2}}{15.95 imes 7.999}=frac{(2.99)^{3} imes 7.97}{(2.01)^{2}}$

a

8

b

7

c

4

d

5

e

6

11.

$2^{2} imes(3)^{?} imes(5.989)^{2}=(11.979)^{2} imes 8.917$

a

2

b

8

c

32

d

16

e

12

12.

$left[(64.01)^{4} ight]^{frac{1}{12}} imes 15.99+31.95 imes 7.98=? imes 7.96$

a

56

b

40

c

25

d

64

e

32

13.

$(3374.81)^{frac{1}{3}} imes sqrt{21.11+14.99} imes 11.01=(?)^{2}+28.91$

a

35

b

31

c

26

d

21

e

16

14.

Directions(Q.14 to Q.18 ):

Given below is the line graph which show export of rice from country USA and Import of rice in country Canada in five different years.

If ratio of quantity of rice exported to rice imported by USA in year 2012 is $11: 10$ and in 2017 rice imported by Canada increased by $7 frac{1}{7} \%$ as compared to previous year, then rice imported by USA in 2012 is what percent of rice imported by Canada in $2017 .$

a

$66 frac{2}{3} \%$

b

$58 frac{1}{5} \%$

c

$55 frac{2}{3} \%$

d

$63 frac{1}{3} \%$

e

$64 frac{2}{3} \%$

15.

If ratio between import and export of rice in USA in year 2016 is 7 : 6 and export of rice in Canada in 2016 is $16 frac{2}{3} \%$ more than its import then, find Export of rice in Canada is how much more than the import of rice in USA in year 2016 (in tons)

a

800

b

600

c

700

d

1400

e

1050

16.

Average quantity of rice exported by USA in year 2012, 2014 and 2015 is what percent more or less than average quantity of rice imported by Canada in year 2013, 2014 and 2016.

a

$4 frac{4}{9} \%$

b

$5 frac{6}{7} \%$

c

$3 frac{1}{2} \%$

d

$3 frac{2}{7} \%$

e

$3 frac{4}{9} \%$

17.

If cost incurred in importing 1 ton of rice by USA in year 2015 is Rs 60 and sum of total cost generated in exporting rice and total cost incurred in importing rice in USA in 2015 is Rs 538500 then, cost incurred/ton in importing is what percent more or less than cost generated/ton in exporting rice in year 2015. Given ratio of rice exported to rice imported is 45 : 56

a

$28 frac{1}{7} \%$

b

$35 frac{2}{7} \%$

c

$16 frac{2}{3} \%$

d

$28 frac{2}{7} \%$

e

$33 frac{1}{3} \%$

18.

What is the ratio of rice imported by Canada in year 2013, 2014 and 2016 together to rice exported by USA in year 2012, 2013 and 2014 together

a

133 : 111

b

138 : 121

c

136 : 127

d

135 : 121

e

130 : 119

19.

Three pipes P, Q and R together can fill a cistern in 11 hours. If pipe P, Q and R opened together but after 6 hours ’Q’ is closed and P and R fills the remaining cistern in 8 more hours then find in how much time pipe ’Q’ can fill the cistern alone?

a

$29 frac{1}{3}$ hours

b

$27 frac{1}{3} mathrm{hrs}$

c

$14 frac{1}{2}$ hours

d

$28 frac{1}{2}$ hours

e

$25 frac{1}{3} mathrm{hrs}$

20.

Perimeter of a square is equal to perimeter of a rectangle, if area of square is 729 sq.cm and length of rectangle is 100% more than that of breadth, then find the area of rectangle? (in cm sq.)

a

684

b

648

c

792

d

728

e

582

21.

A man’s age is four times the average age of his three children. If ratio of his children’s age is 2 : 3 : 4 and man is 40 years elder than youngest child, then find average age of all four together?

a

27 years

b

24 years

c

21 years

d

18 years

e

22 years

22.

A positive integer is selected at random and is divided by 11. Find the probability that the remainder is not an even number?

a

$frac{8}{11}$

b

$frac{9}{11}$

c

$frac{3}{11}$

d

$frac{5}{11}$

e

$frac{7}{11}$

23.

Find number of ways in which words can be formed using ’RECOGNITION’ such that two ’O’ and two ’N’ always come together?

a

191345 ways

b

362885 ways

c

144885 ways

d

182485 ways

e

181440 ways

24.

Three partners A, B and C invested their amounts in ratio of 2 : 5 : 7. At the end of 6 months, ’A’ added some more amount such that his investment become equals to half of sum of ’B’ and ’C’ initial investment. If at the end of the year, B’s share in profit is Rs 4250, then find the total profit?

a

Rs 18400

b

Rs 13600

c

Rs 12500

d

Rs 10500

e

Rs 14500

25.

A 180m. long train crosses another train of length 270 m in 10.8 seconds by running towards each other. If the ratio of speed of the first train to second train is 2 : 3. Then find the time taken by 2nd train to cross first train if both run in the same direction.

a

54

b

47

c

50

d

26

e

25

26.

In a mixture of Wine and Rum, quantity of Wine is $66 frac{2}{3} \%$ of quantity of Rum. If in 90 ml mixture, 15 ml more wine was added then, what would be the percentage of wine in the new mixture?

a

$50 frac{4}{7} \%$

b

$35 frac{1}{6} \%$

c

$17 frac{1}{2} \%$

d

$34 frac{1}{7} \%$

e

$48 frac{4}{7} \%$

27.

The denominators of two fractions are 3 and 8 respectively. The sum of these fractions is $1 frac{1}{24} .$ On interchanging the numerators of the fractions, their sum become $1 frac{1}{4}$ . The two original fractions are

a

$frac{2}{3}, frac{5}{8}$

b

$frac{2}{3}, frac{3}{8}$

c

$frac{1}{16}, frac{8}{13}$

d

$frac{1}{3}, frac{2}{4}$

e

None of these

28.

In how many ways four digit numbers can be formed such that all the four digits are odd?

a

729

b

400

c

125

d

256

e

625

29.

7 men and 6 women together can complete a piece of work in 8 days and work done by a women in one day is half the work done by a man in one day. If 8 men and 4 women started working and after 3 days 4 men left the work and 4 new women joined then, in how many more days will the work be completed

a

6 days

b

6.25 days

c

5.25 days

d

7 days

e

8.14 days

30.

Rakesh started a business with some money . After four months Ram and Shyam joined his business with investments of Rs 31500 and Rs 27000 respectively. Total profit earned at the end of year was Rs 19200. If profit received by Rakesh was Rs 7500,then find Rakesh’s investment in the business?

a

27000

b

25500

c

26000

d

24000

e

25000

31.

Directions(Q.31 to Q.35 ):

Solve the given quadratic equations and mark the correct option based on your wer—

I. 12x² - 31x + 20 = 0

II. 10y² - 29y + 21 = 0

a

x > y

b

x ≤ y

c

x = y or no relation can be established between x and y.

d

x < y

e

x ≥ y

32.

I. 4x² - 11x – 38 = 0

II. 3y² - 14y – 69 = 0

a

x = y or no relation can be established between x and y.

b

x < y

c

x ≤ y

d

x > y

e

x ≥ y

33.

I. 5x + 7y = 24.5

II. 4x + 9y = 40

a

x ≤ y

b

x = y or no relation can be established between x and y.

c

x < y

d

x > y

e

x ≥ y

34.

I. x² - 39x + 360 = 0

II. y² - 26y + 168 = 0

a

x ≤ y

b

x < y

c

x > y

d

x = y or no relation can be established between x and y.

e

x ≥ y

35.

I. 2x² + 21x – 36 = 0

II. 2y² - 15y + 18 = 0

a

x > y

b

x = y or no relation can be established between x and y.

c

x < y

d

x ≤ y

e

x ≥ y