1.
Directions(Q.1 to Q.5 ):

In the following questions, two equations (I) and (II) are given. You have to solve both the equations and mark the appropriate answer.


I. (x + 25)2 = 729

II. 3y2 − 20y + 32 = 0


a

x ≥ y

b

x < y

c

x > y

d

x ≤ y

e

x = y or no relation.


2.

I.(x − 7)2 = 3x − 23

II. y2 − 21y + 108 = 0


a

x < y

b

x ≥ y

c

x ≤ y

d

x > y

e

x = y or no relation.


3.

I. 3x2 − 26x + 35 = 0

II. 8y2 − 26y + 21 = 0


a

x ≥ y

b

x < y

c

x ≤ y

d

x > y

e

x = y or no relation.


4.

I. x3 = 2744

II. (y − 10)2 = 7y − 80


a

x ≤ y

b

x < y

c

x > y

d

x ≥ y

e

x = y or no relation.


5.

I. 3x2 − 17x + 10 = 0

II. 16y2 − 14y + 3 = 0


a

x < y

b

x > y

c

x ≤ y

d

x ≥ y

e

x = y or no relation.


6.
Directions(Q.6 to Q.10 ):

Study the pie chart given below and answer the following questions.

Pie charts show the percentage distribution of total employees of company – X & Y in 5 different departments.

Note – Ratio of total employees of company – X to that of company – Y is 3 : 5.


If employees in HR department of Y are 1500, then find average number of employees in Production, Marketing and R & D department of X are how much more than employees in Finance department of Y?


a

800

b

1600

c

1500

d

1200

e

600 58.


7.

Find the ratio of total number of employees in Finance, Marketing and HR department together of X to total number of employees in Production, HR and R & D department together of Y.


a

7 : 10

b

13 : 20

c

13 : 21

d

2 : 3

e

4 : 7


8.

Employees in Marketing & HR department together of X are what percent more or less than employees in Production & Finance department together of Y?


a

30%

b

90%

c

10%

d

70%

e

40%


9.

If average number of employees in Production, HR and R & D department of Y are 4000, then find total number of employees in Finance and Marketing department of both the companies.


a

12800

b

15200

c

14400

d

17600

e

13400


10.

If number of employees in finance department of X & Y together is 11400, then find employees in HR and Marketing department together of X are how much more or less than employees in Production department of Y?


a

7000

b

6000

c

9000

d

5000

e

8000


11.
Directions(Q.11 to Q.15 ):

Study the passage given below and answer the following questions.

Data below gives information about selling price of 6 different articles (A, B, C, D, E & F). Selling price of A is 80% more than that of C and selling price of D is 130% of that of B. Ratio of selling price of A to that of B is 36 : 25. Selling price of E is equal to the average of selling price of B & C. Selling price of F is Rs.800 which is Rs.150 more than selling price of D.


For how many articles, selling price of that particular article is more than the average of selling price of all 6 articles?


a

4

b

2

c

5

d

3

e

None of the above.


12.

If shopkeeper sold A at 10% loss and E at 12.5% profit, then find his overall profit/loss on selling A & E is what percent of selling price of C?


a

16.5%

b

7.5%

c

22.5%

d

12.5%

e

15.5%


13.

Find ratio of selling price of B & C together to selling price of E & F together.


a

3 : 4

b

20 : 23

c

18 : 25

d

4 : 5

e

None of the above.


14.

If shopkeeper allowed Rs.150 discount on each of D & E and he has marked D & E, 60% and 50% above their cost price respectively, then find cost price of D & E together are what percent of selling price of A?


a

140%

b

150%

c

195%

d

125%

e

180%


15.

If shopkeeper marked C & F, 100% and 33 1 3 % above their cost price respectively and allowed 20% discount on each of C & F, then find total profit earned by shopkeeper on C & F.


a

Rs.270

b

Rs.150

c

Rs.180

d

Rs.230

e

Rs.200


16.

Retailer mark up an article 35% above its cost price and earn Rs 96 by giving 20% discount on the marked price. If he sells article at 15% discount on marked price then, find retailer’s profit on selling one article.


a

214

b

118

c

177

d

236

e

154


17.

An amount is divided among X, Y and Z. Amount of Y is average of other two and when amount of Y is reduced by 20% of that of X, it becomes equal to that of Z. Find amount of Z is what percent of total amount?


a

27.5%

b

20%

c

25%

d

22.5%

e

30%


18.

Neha who is 50% more efficient than Ritu who take double time than Priya to complete a work. Neha can complete a work in ’x’ days while Priya can complete the same work in (x – 15) days. In how many days all three can completes the same work together?


a

36 days

b

22.5 days

c

20 days

d

30 days

e

18 days


19.

Present age of Amit is 50% more than Manish’s present age while 5 years ago Amit’s age was twice than that of Manish’s age at that time. Five years hence, sum of ages of Manish and Amit is equal to Lalit’s age at that time, then find present age of Lalit?


a

20

b

40

c

25

d

35

e

30


20.

A boat takes 90 minutes less to travel 36 km downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 km/h then speed of the stream is:


a

2 km/h

b

2.5 km/h

c

4 km/h

d

3 km/h

e

3.5 km/h


21.

Rahul invested money in scheme ’A’ and scheme ’B’ in the ratio 2 : 3. If scheme ’A’ offer 10% p.a. at SI and scheme ’B’ offer 10% at CI, then find the interest earned from Scheme ’B’ is what percent more than interest earned from scheme ’A’ after 2 years?


a

57.5%

b

55%

c

50%

d

52.5%

e

60%


22.

A train covers certain distance in two parts. Distance covered in first part is 200% more than the distance covered in second part while speed of train is in the ratio 2 : 1 in first and second part respectively. If average speed of train is 64 km/hr, then find the speed of train in first part? (in kmph)


a

50

b

80

c

30

d

40

e

100


23.

Find the probability of forming a 2 digit number by using starting four prime number such that it is divisible by 3.


a

14frac{1}{4}

b

13frac{1}{3}

c

12frac{1}{2}

d

516frac{5}{16}

e

38frac{3}{8}


24.
Directions(Q.24 to Q.29 ):

Study the bar chart given below and answer the following questions.

Bar chart shows the number of boys in 6 different schools (A, B, C, D, E & F) in 2017 & 2018.

Note – Total students in any school in any year = Total (Boys + Girls) in that school in that year.


Find ratio of boys in A & B together in 2017 to boys in E & F together in 2018.


a

4 : 3

b

3 : 8

c

4 : 7

d

5 : 2

e

1 : 1


25.

If ratio of boys to girls in B, D & F in 2018 is 5 : 6, 13 : 9 and 5 : 4 respectively, then find average number of girls in B, D & F in 2018 are how more or less than average number of boys in B, C & D in 2017?


a

300

b

1200

c

900

d

1500

e

600


26.

If A & C in 2017 has 40% and 30% girls respectively, then find girls in A & C together in 2017 are what percent more or less than boys in E & F together in 2017?


a

70%

b

50%

c

80%

d

90%

e

60%


27.

If total students in A, C & D in 2017 are 11000, 6000 & 12500 respectively, then find girls in A, C & D together in 2017 are what percent of total number of boys in C, E & F together in 2018?


a

8313%83 frac{1}{3} \%

b

6723%67 frac{2}{3} \%

c

8513%85 frac{1}{3} \%

d

7423%74 frac{2}{3} \%

e

None of the above.


28.

If total students in C in 2017 are 6000 and total students in C is increased by 80% in 2018 as compared to previous year, then find girls in C in 2017 & 2018 together are how much more than boys in E in 2017 & 2018 together?


a

3800

b

4400

c

3100

d

3500

e

4000


29.

Number of boys in all schools together in 2018 is how much more than number of boys in all schools together in 2017?


a

700

b

1200

c

1600

d

500

e

900


30.
Directions(Q.30 to Q.35 ):

Study the charts given below and answer the following questions.

Line chart shows the number of pens manufactured by 5 different companies (A, B, C, D & E) in 2017 & 2018 and table shows number of pens sold by these 5 companies in these 2 years.

Note – 1) Total pens manufactured by any company in a particular year = Total (sold + unsold) pens of that company in that year.

2) Each company destroys its unsold pens in any year.


Average of unsold pens of A, B & D in 2018 is how much less than average pens sold by all 5 companies in 2017?


a

6000

b

5760

c

5880

d

5640

e

5420


31.

Total unsold pens of A & C together in 2017 & 2018 are what percent more or less than total pens manufactured by C & E together in 2017?


a

50%

b

90%

c

70%

d

110%

e

30%


32.

Total pens manufactured by all 5 companies in 2018 are how much more or less than total pens manufactured by all 5 companies in 2017?


a

2000

b

2200

c

1600

d

2500

e

1400


33.

Find ratio of unsold pens of A & B together in 2017 to unsold pens of C & E together in 2017.


a

3 : 4

b

7 : 12

c

5 : 6

d

2 : 3

e

None of the above.


34.

Pens sold by A, B, D & E together in 2018 are what percent of total pens manufactured by A, B, D & E together in 2018?


a

8023%80 frac{2}{3} \%

b

9413%94 frac{1}{3} \%

c

7213%72 frac{1}{3} \%

d

8623%86 frac{2}{3} \%

e

8613%86 frac{1}{3} \%


35.

Unsold pens of B, D & E together in 2018 are what percent of total pens manufactured by A, D & E together in 2018?


a

16.5%

b

18.5%

c

22.5%

d

12.5%

e

10.5%


36.
Directions(Q.36 to Q.40 ):

What will come in place of (?) in the following questions?


(? )2 = 210% of 800 + (38)2 + 108 × 9


a

64

b

94

c

84

d

54

e

74


37.

?× 23 = 24 × 45 + 820 − 60% of 2400


a

80

b

50

c

20

d

40

e

60


38.

? % of 3500 = 1684 − 488 − 31% of 1600


a

20

b

25

c

30

d

40

e

35


39.

?8015×24frac{?-80}{15 imes 24} of 432×25=4800432 imes 25=4800


a

260

b

230

c

270

d

250

e

240


40.

45% of 600 ÷ {(25 + 15)% of 500} =?÷ 40


a

54

b

58

c

48

d

62

e

46


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