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

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


I. x² - 17x – 84 = 0

II. y² + 4y – 117 = 0


a

If y > x

b

If x ≥ y

c

If x > y

d

If y ≥ x

e

If x = y or no relation can be established


2.

I. x2 = 81

II. (y-9)2 = 0


a

If x > y

b

If x ≥ y

c

If y ≥ x

d

If y > x

e

If x = y or no relation can be established


3.

I. x² - 7x + 12 = 0

II. y² - 8y + 12 = 0


a

If y ≥ x

b

If y > x

c

If x ≥ y

d

If x > y

e

If x = y or no relation can be established


4.

I. 2x² - 7x – 60 = 0

II. 3y² + 13y + 4 = 0


a

If x ≥ y

b

If x > y

c

If y > x

d

If y ≥ x

e

If x = y or no relation can be established


5.

I. 2x² + x – 28 = 0

II. 2y² - 23y + 56 = 0


a

If x ≥ y

b

If y ≥ x

c

If x > y

d

If y > x

e

If x = y or no relation can be established


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

Read the given information carefully and answer the following questions.

There are four hostels i.e. A, B, C and D.

In hostel A: Number of boys are 120 and number of girls are 30% more than that of number of girls in hostel B.

In hostel B: Number of boys are double than that of number of girls.

In hostel C: Number of boys are 100 more than that of boys in hostel A and total boys and girls in C is 1000.

In hostel D: Number of boys is 182 more than the number of boys in hostel A. Average of number of girls of hostel A and that of hostel D is 223.Number of boys in hostel D is 98 less that of boys in hostel B.


Find difference between total number of boys and girls together in hostel A and that in hostel D?


a

118

b

108

c

112

d

98

e

128


7.

Difference between number of boys and girls in hostel D is what percent of difference between boys and girls in hostel B?


a

63%

b

53%

c

60%

d

58%

e

57.5%


8.

If 20 boys from each hostel left their hostel then find the average of remaining number of boys in all the hostels?


a

235

b

250.5

c

240.5

d

239.5

e

245.5


9.

Find ratio of total number of boys and girls together in hostel B to that of in hostel C?


a

3: 5

b

2: 5

c

3: 4

d

4: 5

e

6: 5


10.

Total number of boys in hostel A and that of girls in hostel C is what percent more than number of boys in hostel B?


a

150%

b

100%

c

125%

d

137.5%

e

175%


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

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

Note:- (you are not expected to calculate the exact value.)


111.01+41.23+(4.96)2+(2.09)2=?111.01+41.23+(4.96)^{2}+(2.09)^{2}=?


a

162

b

195

c

170

d

181

e

189


12.

56.08%56.08 \% of 149.92+28.02×6.981119%149.92+sqrt{28.02 imes 6.98}-11 frac{1}{9} \% of 998.9=?998.9=?


a

8

b

17

c

-16

d

-13

e

22


13.

1332.89+171.928+17.01+?2=1690.871332.89+171.928+17.01+?^{2}=1690.87


a

17

b

13

c

27

d

9

e

19


14.

109.07?6121.02×?=47.96?109.07 sqrt{?}-frac{61}{21.02} imes ?=47.96 sqrt{?}


a

121

b

441

c

169

d

250

e

324


15.

150.09%150.09 \% of 20+322.917.02+?=(8.96)220+frac{322.9}{17.02}+sqrt{?}=(8.96)^{2}


a

1225

b

984

c

1360

d

1024

e

674


16.

Time taken to travel a certain distance of ’x’ km at speed of 40 km/h is 2 hours more than the time taken to travel (x+20) km at speed of 60km/h. Find the time taken to travel (x+40) km at the speed of 40 km/h?


a

8 hours

b

9 hours

c

5 hours

d

6 hours

e

7.5 hours


17.

X liters of milk is taken out and replaced with water from a container having 240 liters milk. Now, 20% of the mixture is taken out and replaced with water. In final mixture, the difference in quantity of milk & water is 128 liters. Find X.


a

10

b

9

c

11

d

12

e

8


18.

A shopkeeper marked the price of an article by 40% above cost price and gave discount of Rs. 224. On the final amount, he charged 10% tax. In the whole transaction, he earned Rs. 158.6. Find cost price of the article.


a

Rs 744

b

Rs 757

c

Rs 760

d

Rs 750

e

Rs 748


19.

A can do a work in 36 days while B can do the same in 48 days. If A work for ’x’ days while B work for ’x+2’ days then one-third of the work is complete. Find the value of x.


a

6

b

7

c

8

d

4

e

5


20.

Two friends Pinki and Rinki entered into a partnership by investing an amount of Rs 6000 and Rs 9000 respectively and ratio of their period of investment is 2: 3. Find the profit share of Pinki if profit share of Rinki is Rs 45,000.


a

Rs 20,000

b

Rs 18,000

c

Rs 24,000

d

Rs 28,000

e

Rs 25,000


21.
Directions(Q.21 to Q.25 ):

Given table shows the data of population in 5 different parks. Study the data carefully and answer the questions.

(Total population = Male population + Female population)


What is ratio of male population in park A & D together to female population in park B & E together?


a

1 ∶ 1

b

7 ∶ 6

c

5 ∶ 6

d

6 ∶ 7

e

5 ∶ 7


22.

If 30 females from each park are above 80 years age then find the average of no. of females who are below or equal to the age of 80 years from all the parks.


a

295

b

280

c

285

d

300

e

290


23.

By what percent female population in park D is more or less than the male population in park E?


a

9.09%

b

11.11%

c

15%

d

14.28%

e

12.5%


24.

If 20% of total population did not visit on a particular day in park A of which male population was 60% then what percent of total population in park B is male population who visited in park A?


a

48.6%

b

45%

c

40.4%

d

39.2%

e

None of these


25.

What is average of male population in park B, C and D?


a

323.33

b

333.33

c

313.33

d

343.33

e

353.33


26.
Directions(Q.26 to Q.30 ):

Given line graph shows the data of male & female population in 5 different cities. Read the data carefully and answer the questions


If in city A, the ratio of male graduates to female graduates is 3 : 4 and total graduates in the city are 70% of total population. Find population of females who are not graduate.


a

50

b

70

c

120

d

90

e

135


27.

In city B & C, ratio of postgraduates is 7 : 8. Total population who is postgraduate in city B is equal to total population of city A. find ratio of nonpost graduate population in city B to that of city C.


a

3 : 1

b

7 : 3

c

7 : 1

d

8 : 3

e

8 : 1


28.

By what percent total population of city A is more or less than that of city D?


a

45%

b

70%

c

30%

d

35%

e

60%


29.

What percent of Female population in city C is male population in city E?


a

90.2%

b

87.5%

c

84.5%

d

85.5%

e

114.2%


30.

What is average of male population in all cities?


a

455

b

460

c

465

d

440

e

430


31.

The ratio of speed of boat in still water to speed of stream is 8 : 1. It takes 4 hours by boat to cover 54 km in downstream & 42 km in upstream. Find the downstream speed of boat.


a

27 kmph

b

21 kmph

c

25 kmph

d

24 kmph

e

23 kmph


32.

Manoj gave 60% of his salary to his wife and invested rest amount in mutual funds. His wife spends 30% amount on grocery and 20% on rent. From remaining amount, she purchased gold worth Rs. 18000. Find salary of Manoj.


a

Rs 54000

b

Rs 64000

c

Rs 58000

d

Rs 60000

e

Rs 66000


33.

The radius of a circle is 14 cm. what is area of another circle having radius 1.5 times of the actual circle?


a

1485 cm2

b

1296 cm2

c

1386 cm2

d

1352 cm2

e

1276 cm2


34.

The ratio of ages of A and B 4 years ago was 5 : 3. The sum of present ages of A, B and C is 80 years. If present age of C is equal to sum of present ages of A and B. find the present age of A.


a

22 years

b

24 years

c

20 years

d

17 years

e

18 years


35.

The length & breadth of a rectangle is in ratio 4 : 7. If perimeter is 88 cm. find area of rectangle.


a

336 cm2

b

414 cm2

c

448cm2

d

524 cm2

e

396 cm2


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