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1.

Tap ’P’ and tap ’Q’ alone can fill a tank in 15 hours and 12 hours respectively. Tap ’R’ can empty the same tank in 20 hours. If all the three taps are opened for alternate hour starting with tap ’P’ and ending with tap ’R’, then find in what time tank will be filled completely?

a

$25 mathrm{hr}$

b

$26 frac{3}{5} mathrm{hr}$

c

$28 frac{2}{5} mathrm{hr}$ .

d

$30 mathrm{hr}$

e

$25 frac{2}{5} mathrm{hr}$ .

2.

A fraction is such that, if we triple the numerator and double the denominator and again increased the numerator by 20% and decreased the denominator by 10%, we get 62.5% of 1 7 25 . Find the original fraction.

a

$frac{1}{5}$

b

$frac{7}{10}$

c

$frac{3}{5}$

d

$frac{2}{9}$

e

$frac{2}{5}$

3.

How many numbers of five digits can be formed by using the digits 0, 1, 2, 3, 4, 5, 6 and 7 if repetition of digits is not allowed?

a

5880

b

5980

c

5180

d

6080

e

5780

4.

After selling an article, Chiru found that he had made a loss of 15%. If he had sold it for Rs. 62.5 more, he would have made a profit of 10%. Find actual initial loss is what percent of the profit earned, if he had sold the article at 25% profit.

a

60%

b

75%

c

65%

d

50%

e

80%

5.

200 students appeared in an examination containing two subjects History and Geography. 120 students passed in history exam and 130 students passed in Geography exam while 70 students passed in both exams. If a student chosen at random, then what will be probability that the students is failed in both exams.

a

$frac{1}{10}$

b

$frac{1}{5}$

c

$frac{1}{B}$

d

$frac{3}{40}$

e

$frac{3}{20}$

6.

The speed of boat in downstream is equal to the average speed of a boy who went his school at a speed of 10km/h from home and returned back with a speed of 15 km/hr. Find the ratio between speed of boat in still water to the speed of current if the boat travels $40 frac{1}{2} mathrm{~km}$ upstream in 4.5 hours.

a

7 : 1

b

9 : 1

c

14 : 3

d

21 : 4

e

15 : 2

7.

Some amount was lent at 8% per annum simple interest. After one year, Rs. 10,944 is withdrew and the remaining of the amount is repaid at 6% per annum at the end of second year. If the ratio of the first year interest to that of the second year is 28 : 9 then, find the amount that was lent out initially

a

Rs. 16,600

b

Rs. 17,200

c

Rs. 16,800

d

Rs. 17,400

e

Rs. 16,400

8.

60% of the revenue of a college came from the post-graduation courses while 40% are from the graduation courses. If the college raises its fees by 30% for the post-graduation courses and by 20% for the graduation courses, then find the percentage increase in the revenues of the college.

a

24%

b

26%

c

28%

d

25%

e

30%

9.

Directions(Q.9 to Q.13 ):

Study the following bar graph and wer the following questions.

The following bar graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of six years from 2010 to 2015.

If the number of candidates qualified in 2013 was 6300, then what was the number of girls appeared in 2013, if the ratio between number of boys to girls who appeared is 4 : 3.

a

4,500

b

6,000

c

6,300

d

5,400

e

6,600

10.

If the total number of candidates appeared in 2010 and 2011 together was 42400 then, find the average number of qualified candidates in these years if the ratio of qualified candidates in 2010 to that in 2011 is 5 : 7.

a

11720

b

12420

c

12720

d

11920

e

12920

11.

If the number of candidates appeared in the examination in 2014 and 2015 were in the ratio of 2 : 3, then find the ratio of qualified candidates in the year 2014 to qualified candidates in the year 2015?

a

2 : 3

b

5 : 6

c

5 : 9

d

8 : 9

e

10 : 9

12.

The number of qualified candidates in 2016 is 90% of the total qualified candidates in 2015 whereas the qualified candidates qualified in 2016 is 63% of the total appeared candidates in 2016. Then find the ratio of appeared candidates in 2016 to that of in 2015.

a

7 : 6

b

5 : 7

c

8 : 7

d

6 : 7

e

11 : 14

13.

If number of candidates not qualified in 2012 and 2014 is 8100 and 4500 respectively then find the number of candidates qualified in 2012 is what % of the candidates qualified in 2014.

a

50%

b

44%

c

66%

d

58.5%

e

55%

14.

Directions(Q.14 to Q.18 ):

The following table shows the data related to the employment situation in a city in the five different years. If also shows the total population of city in given years, percentage of Govt. Employees, Pvt. Employees and out of remaining, the ratio between number of self-employed person to the number of unemployed person. Read the data carefully and wer the questions.

Find the average number of Pvt. employees, self-employed and unemployed in year 2015 if total number of Govt. employees in 2015 is equal to 50% of the total number of govt. employee in year 1995 and 2000 together and in year 2015, $29 frac{1}{2} \%$ of the total employees are Govt. employees.

a

46,000

b

46,500

c

47,500

d

94,000

e

47,000

15.

Find the ratio between total number of Govt. employees in year 1995 and 2010 together to total number of Pvt. Employees in year 2000 and 2005 together?

a

95 : 128

b

275 : 271

c

285 : 281

d

517 : 570

e

575 : 517

16.

Find the average population of city in the year 1995, 2000 and 2005 together excluding number of Pvt. Employees in all these years?

a

1,27,400

b

1,29,200

c

1,31,200

d

1,25,800

e

1,33,500

17.

The total number of Pvt. employees and self-employed in year 2000 is approximately what percent more than the total number of self-employed and unemployed person in year 2005 and 2010 together?

a

19%

b

22%

c

15%

d

12%

e

25%

18.

Find the difference between total number of self-employed person in year 1990 and 2000 together and the number of unemployed person in year 2005 and 2010 together.

a

7150

b

6850

c

7050

d

7250

e

6950

19.

Directions(Q.19 to Q.25 ):

The given below pie-chart shows the percentage distribution of students studying six different courses in a particular college.

What is the difference between the number of boys studying B.Com and Engineering together and the number of girls studying the same courses together?

a

1400

b

1700

c

1800

d

1600

e

1200

20.

A person’s present age is 2.5 times of his son’s present age whereas the ratio of his wife’s present age to his present age is 5 : 6. 10 years ago, the ratio of person, his son and his wife’s age is 25 : 7 : 20. Find the present average age of all the three?

a

$44 frac{1}{3} y r$ .

b

$45 y r$ .

c

$45 frac{1}{3} y r$

d

$44 frac{2}{3} y r$

e

$46 frac{1}{3} y r$

21.

A sphere of radius 12 cm is melted to form 6 cones of radius 8 cm. Then, find the slant height of the cone?

a

3√97 cm

b

4√47 cm

c

2 √97 cm

d

18 cm

e

16 cm

22.

The difference between the number of students studying Engineering and B.com is what percent of the total number of students studying the remaining courses?

a

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

b

40%

c

48%

d

50%

e

38%

23.

The average number of boys studying BSC and BCA is what percent more/less than the number of girls studding BBA.

a

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

b

$183 frac{1}{3} \%$

c

$41 frac{2}{3} \%$

d

$141 frac{2}{3} \%$

e

$37.5 \%$

24.

What is the ratio between total number of students studying B.Com to the number of girls studying Engineering?

a

9 : 16

b

3 : 8

c

1 : 4

d

7 : 16

e

9 : 22

25.

Find the total number of Boys studying BA and B.Com together.

a

3600

b

4200

c

3720

d

3800

e

4150

26.

Directions(Q.26 to Q.30 ):

What approximate value will come in the place of question (?) mark.

(√120.89– √25.001)+? % of 159.993 = 62.011

a

35

b

30

c

40

d

45

e

50

27.

21.001 + ? = (119.91 × 38.01) ÷ 47.953

a

66

b

54

c

74

d

84

e

94

28.

(24.98% of 192.01 ÷ 15.995) = 59.95% of 180.02 - ?

a

115

b

125

c

105

d

95

e

85

29.

$sqrt{(2915.995 div 81.001) imes 16.992-?}=24$

a

52

b

22

c

26

d

46

e

36

30.

(156.002 – 554.93 ÷ 5.01) × ? = 989.98

a

12

b

15

c

30

d

22

e

32

31.

Directions(Q.31 to Q.35 ):

In each question two equations numbered (I) and (II) are given. Student should solve both the equations and mark appropriate wer.

I. 4x² + 16x + 15 = 0

II. 2y² + 5y + 3 = 0

a

If x < y

b

If x ≥ y

c

If x = y or no relation can be established

d

If x > y

e

If x ≤ y

32.

I. 12x² – 17x + 6 = 0

II. 35y² − 29y + 6 = 0

a

If x > y

b

If x = y or no relation can be established

c

If x < y

d

If x ≥ y

e

If x ≤ y

33.

I. $frac{x}{3}+1=frac{7}{15}$

II. 5(y − 2) + 18 = 0

a

If x > y

b

If x ≥ y

c

If x = y or no relation can be established

d

If x < y

e

If x ≤ y

34.

I. 6x²+ 13x + 6 = 0

II. 2y² + 7y + 6 = 0

a

If x ≥ y

b

If x = y or no relation can be established

c

If x < y

d

If x > y

e

If x ≤ y

35.

I. x(4x − 9) = 9(16 − x)

II. 4y² + 20y + 25 = 0

a

If x ≥ y

b

If x < y

c

If x = y or no relation can be established

d

If x > y

e

If x ≤ y

36.

Directions(Q.36 to Q.40 ):

Find the wrong number in the following number series:

216, 185, 156, 133, 114, 92

a

185

b

216

c

156

d

114

e

92

37.

35, 68, 108, 161, 227, 306

a

306

b

68

c

35

d

161

e

227

38.

111, 113, 121, 153, 281, 785

a

785

b

113

c

111

d

281

e

121

39.

15, 8, 12, 30, 112, 550

a

550

b

15

c

8

d

112

e

30

40.

1800, 1071, 828, 747, 722, 711

a

1071

b

711

c

747

d

722

e

1800