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1.

Directions(Q.1 to Q.0 ):

Study the given information carefully and answer the following questions.

In fun cinema, there are three types of tickets available for movie Kabir Singh i.e. Silver, Gold and Platinum. Each types of tickets have different price. Total number of tickets available is 115. Ratio of number of Platinum tickets to that of Gold tickets is 4:3. Number of Silver tickets is 50% more than that of Gold. Number of unsold tickets is 5 for each type of tickets. Price of a Gold tickets is 25% less than that of a Platinum ticket while price of a Platinum ticket is $71 frac{3}{7} \%$ more than that of a Silver ticket. Price of all unsold tickets is Rs 3500.

Difference between total number of tickets sold and number of Silver tickets available initially?

a

48

b

55

c

45

d

50

e

None of these

2.

Average price of one ticket of each type is what percent more or less than price of a Platinum ticket?

a

$11 frac{1}{9} \%$

b

$22 frac{2}{9} \%$

c

$18 frac{2}{11} \%$

d

None of these

e

$9 frac{1}{11} \%$

3.

A milkman pays Rs. 12.8 per liter of milk. He added water to it and sells the mixture at Rs. 16 per liter at a profit of 37.5%. Find the ratio of milk to that of water added to the mixture?

a

5: 1

b

10: 1

c

11: 1

d

1: 10

e

10: 3

4.

The ratio of the radius and height of a cylinder is 7: 12. If its volume is 6237 cm3 then find difference between its total surface area and curved surface area?

a

686 cm²

b

700 cm²

c

679 cm²

d

672 cm²

e

693 cm²

5.

Price of all unsold tickets is what percent of the total revenue generated if all sold tickets were of Silver type?

a

20%

b

15%

c

17.5%

d

25%

e

30%

6.

Find average price of a Platinum, a Gold and a Silver tickets?

a

$R s frac{700}{3}$

b

$operatorname{Rs} frac{740}{3}$

c

$R s frac{760}{3}$

d

$R s frac{710}{3}$

e

$R s frac{770}{3}$

7.

If total sold tickets were Gold tickets then find how much more or less revenue can be generated?

a

None of these

b

Rs 605

c

Rs 615

d

Rs 635

e

Rs 625

8.

Directions(Q.8 to Q.12 ):

In each of these questions, two equations I and II are given. You have to solve both the equations and give answer

I. x² +18x + 77 = 0

II. y² + 18y + 72 = 0

a

if x ≤ y

b

if x ≥ y

c

if x > y

d

if x < y

e

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

9.

I. 3x² + 10x + 7 = 0

II. 3y² + 4y + 1 = 0

a

if x > y

b

if x < y

c

if x ≤ y

d

if x ≥ y

e

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

10.

I. 3x2 + 11x + 6 = 0

II. 6y2 + 5y + 1 = 0

a

if x ≥ y

b

if x ≤ y

c

if x < y

d

if x > y

e

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

11.

I. 2x² + x – 15 = 0

II. 9y² + 9y – 10 = 0

a

if x ≤ y

b

if x > y

c

if x ≥ y

d

if x < y

e

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

12.

I. x2 − 218 = 358

II. y3 − 804 = 1393

a

if x < y

b

if x > y

c

if x ≤ y

d

if x ≥ y

e

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

13.

Directions(Q.13 to Q.17 ):

What exact value will come in the place of question (?) marks:

? \% of $750+(15)^{2}=(8)^{2}+356$

a

42

b

22

c

26

d

16

e

32

14.

$568+330-(12)^{2}=8 \%$ of $?$

a

9625

b

9255

c

9425

d

9755

e

10225

15.

$frac{728}{?} imes 15+24 \%$ of $550-38=484$

a

32

b

36

c

20

d

24

e

28

16.

$42 \%$ of $650+243-sqrt{?}=2 imes(4)^{4}$

a

18

b

20

c

16

d

24

e

12

17.

$36 imes ?+33 imes 4+sqrt{441}=(21)^{2}$

a

9

b

11

c

8

d

2

e

14

18.

Directions(Q.18 to Q.22 ):

Table given below shows the total number of people and percentage of male out of them who have visited a park in five different days. The table also shows the ratio of female and child visiting park in five different days. Note- Total number of people visiting park= male+ female+ child

Total number of males who have visited park on Sunday and Friday together is what percent more or less than total number of people who have visited park on Saturday?

a

$51 frac{2}{3} \%$

b

None of these

c

$48 frac{1}{3} \%$

d

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

e

$47 frac{1}{2} \%$

19.

Find ratio of total number of males who have visited park on Saturday and Monday together to the total number of people who have visited park on Friday?

a

8: 3

b

14: 9

c

5: 3

d

11: 9

e

11: 5

20.

Total number of females who have visited park on Sunday and Tuesday together is how much more or less than the child who have visited park on Monday?

a

390

b

420

c

440

d

450

e

410

21.

Find the average number of males who have visited the park on Tuesday, Friday and Monday?

a

990

b

1020

c

1080

d

1060

e

None of these

22.

Difference between female and child who have visited park on Saturday is what percent of the difference between male and female who have visited park on Monday?

a

$130 \%$

b

$135 \%$

c

$133 frac{1}{3} \%$

d

$132 frac{1}{7} \%$

e

$137 frac{1}{2} \%$

23.

Directions(Q.23 to Q.30 ):

Study the line graph given below and answer the questions accordingly.

The given graph shows the percentage of students who have passed in Math and Science Olympiad from five different schools. Number of students who have taken Math Olympiad test is same from each of these school.

Note- Number of students who have taken Science Olympiad test is 60% of the students who have taken Math Olympiad test for each school.

Ratio of number of students who have passed from school B to that of school E in both the tests?

a

103: 85

b

105: 83

c

104: 85

d

101: 84

e

None of these

24.

Ratio of upstream speed to that of downstream speed is 3:5. If speed of boat in still water is 24 km/hr then in how much time boat will cover 36 km in upstream and 60 km in downstream together?

a

6 hours

b

3 hours

c

5 hours

d

4 hours

e

4.5 hours

25.

A does a work for 5 days and B does the same work for 8 days and ratio of work done by B to that of A is 4: 5 then find the efficiency of A is what percent more or less than that of B.

a

50 %

b

25 %

c

60 %

d

100 %

e

75 %

26.

Ratio of present age of A and B is 3:2 and four years later age of B will be $56 frac{1}{4} \%$ of age of C. If the average of the present age of A and C is 54 year then find the present age of B.

a

27 year

b

32 years

c

29 year

d

25 year

e

36 year

27.

Difference between number of girls who have passed in Science from school A and C is 15 then find total students who have taken test from these schools if girls passed in Science from school A and C are 50% and 75% of the respective students who have passed in Science.

a

720

b

800

c

700

d

1000

e

600

28.

Difference between number of students who have failed in science Olympiad from school A and D is 60. Then find the total number of students who have appeared in Olympiad test from school A?

a

600

b

800

c

750

d

650

e

1000

29.

Average of students who have failed in Math test from school B, C and E is 105 then find the average of students who have appeared in Math test from all the schools?

a

500

b

300

c

400

d

350

e

450

30.

Total students who have passed Science test from school D and E together is what percent more or less than students who have passed Math test from school C?

a

27.5%

b

25%

c

22.5%

d

17.5%

e

20%

31.

Directions(Q.31 to Q.40 ):

Study the following information carefully and answer the questions. In a certain code language,

’carry flag march street’ is written as ’be ma xi ke’, ’game flag latest bright’ is written as ’xi hi ra qi’, ’latest street of joke’ is written as ’ya gi ra ke’, ’march game ultimate flavor’ is written as ’ji qi we be’,

A man invested Rs 40,000 in mutual fund for 3 years. In first year, his amount is increased by 10%, in 2nd year his amount is decreased by X% and in 3rd year, his amount is again increased by 20% and he got Rs 4880 more at the end. Find value of X?

a

15

b

$12.5$

c

$13 frac{1}{3}$

d

20

e

$17 frac{1}{2}$

32.

Respective ratio of number of green, red and white ball in a bag is 3: 4: 5 and when two balls are drawn, probability of being exactly one red and one white ball is 2 7 . Find the probability of getting red balls when two balls are drawn.

a

$frac{3}{34}$

b

$frac{3}{35}$

c

$frac{14}{107}$

d

$frac{11}{105}$

e

$frac{14}{111}$

33.

A alone takes 20% less time than that of B alone to do a work. When they together work for 8 days, 90% of the work gets completed. Find difference between their individual time to do the whole work?

a

$4 frac{1}{2}$ days

b

5 days

c

4 days

d

6 days

e

8 days

34.

Investment made by A and C is 40% less and 60% more than that of B respectively and ratio of period of investment of A, B and C are 3: 2: 1. If average of their profit is Rs 21600 then find difference between A’s and C’s profit share (in Rs.).

a

2000

b

1800

c

2600

d

2400

e

2800

35.

Ratio of age of A and B, 6 years ago was 3: 4. Sum of the present age of B and C is 80 years. C is 12 years elder to A. Find the difference of B and C’s age five years later?

a

3 years

b

7 years

c

5 years

d

6 years

e

4 years

36.

Directions(Q.36 to Q.40 ):

Pie chart given below shows distribution of monthly expenditure of Ayush in six different fields. Study the data carefully and answer the following questions.

Note: -1. Ratio of monthly expenditure of Ayush to that of Arun is 5: 3.

2. Income =Savings + Expenditures

3. Distribution of expenditure is also same for Arun.

Expenditure of Arun on cloths is Rs 3600 then find difference between his travel expenses and Rent.

a

Rs 600

b

Rs 1200

c

Rs 720

d

Rs 800

e

Rs 900

37.

Find the ratio of Ayush’s expenditure on food, rent and cloths together to that of Arun’s on child education, travel and bills together.

a

45: 23

b

21: 11

c

9: 5

d

25: 12

e

48: 23

38.

If Rahul’s expenditure is 50% more than that of Arun’s then find Rahul’s expenditure on food and bills together is what percent of Ayush’s expenditure on rent (consider same expenditure distribution for Rahul)?

a

55%

b

150%

c

85%

d

105%

e

110%

39.

If annual income of Ayush is Rs 7.2 lac then find the difference between Ayush’s monthly expenditure on travel and that of Arun’s monthly expenditure on child education and bills together?(given that ratio of income of Ayush and Arun is 5 : 3)

a

Rs 3200

b

Rs 3000

c

Rs 3300

d

Rs 4500

e

None of these

40.

If difference of the bills submitted by Arun and that of Ayush is Rs 2000 then find the annual income of Ayush if his monthly saving is Rs 18000.

a

Rs 7,66,000

b

Rs 8,06,000

c

Rs 8,16,000

d

Rs 7,96,000

e

Rs 8,18,000