1.

A bag contains 25 cards with numbered 1, 2, 3,……, 25. Two cards are picked at random (one after another and without replacement). Find the probability that the sum of numbers of both cards are odd?


a

1327frac{13}{27}

b

1325frac{13}{25}

c

1250frac{12}{50}

d

1350frac{13}{50}

e

None of these


2.

Rs. 1800 is given at 20% per annum SI while Rs (1800 - P) is given at 30% per annum CI. If the difference between both interests at the end of two years is Rs 315. Find P.


a

Rs. 200

b

Rs. 100

c

Rs. 300

d

Rs. 400

e

None of these


3.

If two is subtracted to the numerator while 3 is added to the denominator, ratio becomes 3 : 2. While if 7 is added to the denominator while 4 is subtracted form the numerator, ratio becomes 5:3. What is the fraction?


a

7655frac{76}{55}

b

2364frac{-23}{64}

c

2355frac{-23}{55}

d

2354frac{23}{54}

e

None of these


4.

B’s age is 10 years older than A. If the ratio of B’s age 11 years hence and C’s present age is 3:2. At present C’s age is thrice A’s age. What will be the age of C after 7 years?


a

25 years.

b

23 years.

c

18 years.

d

28 years.

e

None of these


5.

If the ratio of curved surface area to the volume of cylinder is 4:7 while the ratio of diameter to the height of cylinder is 14:5. Find the total surface area of cylinder.?


a

130 units

b

132 units

c

140 units

d

123 units

e

None of these


6.

If time taken to cover ’ D-11’ km upstream is four times the time taken to cover D km downstream. If ratio of speed of boat in still water to the speed of water current is 9:7. And the time taken to cover ’D- 2’ km in upstream is 2 hrs. what will be the speed of boat in still water?


a

45 kmph

b

35 kmph

c

20 kmph

d

30 kmph

e

None of these


7.

Sashi spends 32% of his income in various expenses. Of the remaining, she spends one – fourth on her brother while 9/17 on her sister and remaining keep as savings. If the difference between her money spending on brother and sister is Rs. 3800 . What is Shashi’s savings?


a

Rs. 4000

b

Rs. 3000

c

Rs. 2500

d

Rs. 3400

e

None of these


8.

Time taken to complete a work by A alone is 100% more than the time taken by both A and B to complete the work. B is thrice as efficient as C. B and C together take 12 days to complete the same work. How many days A will take to complete the work alone?


a

32 days

b

20 days

c

16 days

d

24 days

e

None of these


9.

A and B sold two articles at 25% profit and 40% profit respectively. If total profit is Rs. 178 and the cost price of A is Rs 120 less than B. find the CP of B.


a

Rs. 320

b

Rs. 430

c

Rs. 370

d

Rs. 310

e

None of these


10.

Three partners A , B and C invested their amounts in ratio 7:5:3. At the end of six months, A withdraws his amount such that his total investment will be equal to C’s initial investment. If C’ share in annual Profit is Rs. 3600. A’s annual profit will be ?


a

Rs. 4500

b

Rs. 7000

c

Rs. 6000

d

Rs. 9000

e

None of these


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

What should come in place of the question mark (?) in the following number series.


5, 6, 14, 45, ? , 925


a

232

b

184

c

243

d

234

e

None of these


12.

9, 11, 22, 51, 107, ?


a

199

b

200

c

195

d

210

e

None of these


13.

12, 7, 8, 13, 27, ?


a

65

b

60

c

76

d

75

e

68.5


14.

67, 75, 59, 91, 27, ?


a

120

b

170

c

155

d

180

e

None of these


15.

15, 24, 49, 98, 179, ?


a

300

b

310

c

305

d

315

e

None of these


16.
Directions(Q.16 to Q.20 ):

What approximate value should come in place of the question mark (?) in the following questions? Note: (You are not expected to calculate the exact value.)


39.7% of 801 - 250.17 = ? -63% of 801


a

760

b

500

c

800

d

574

e

550


17.

24.001 × 14.999 × 9.998 = ?


a

3000

b

4200

c

3600

d

4000

e

2500


18.

10.11×36.93+48.875×19.99=17.231×?10.11 imes 36.93+sqrt{48.875} imes 19.99=17.231 imes sqrt{?}


a

625

b

25

c

225

d

144

e

900


19.

1898.88 ÷ 189.921 + 9.99 + (? )2 = 83.89


a

3

b

4

c

5

d

8

e

7


20.

14.003?+53.0345?=6726.999×(?)14.003 sqrt{?}+53.0345 sqrt{?}=frac{67}{26.999} imes(?)


a

729

b

721

c

801

d

720

e

744


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

Read the following line graph and answer the following questions given below it – There are two motorbike manufacturing companies A and B. The sale of motorbikes by these two different companies in different years is given in the graph below.


Find the difference between the total sales of company A from 2012 to 2014 and that of company B from 2013 to 2015?


a

600

b

500

c

400

d

750

e

None of these


22.

What is the ratio of total sales of company B in 2012 and that of company A in 2014 together to the total sales of company A in 2011 and that of company B in 2015 together?


a

11:9

b

12:7

c

13:10

d

13:12

e

None of these


23.

The total sales of both companies in 2015 is what percent more than the total sales of both the companies in 2011?


a

250%

b

200%

c

180%

d

280%

e

None of these


24.

If the sales of company A increases by 33.33% in 2011 over its sales in 2010, then find the percent increase in the sales of company A in 2015 with respect to the sales in 2010?(up to two decimal places)


a

272.32%

b

333.33%

c

233.33%

d

210.12%

e

None of these


25.

What is the difference between the sales of company A in 2016 and that of company B in 2016 if the sales of company A and B increase by 20% and 10% respectively in 2016 as compared to 2015?


a

2100

b

1600

c

1700

d

1800

e

None of these


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

Given below are two equations in each question, which you have to solve and give answer


I. 3x2 + 5x + 2 = 0

II. y2 + 12y + 27 = 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


27.

I. 2x2 − 5x + 2 = 0

II. 2y2 − 9y + 7 = 0


a

if x ≥ y

b

if y ≥ x

c

if y > x

d

if x > y

e

if x = y or no relation can be established


28.

I. 3x2 + 7x + 4 = 0

II. y2 + 9y + 20 = 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


29.

I. x2 − 7x + 10 = 0

II. y2 − 14y + 45 = 0


a

if y > x

b

if x ≥ y

c

if y ≥ x

d

if x > y

e

if x = y or no relation can be established


30.

I. (x − 16)2 = 0

II. y2 = 256


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


31.
Directions(Q.31 to Q.35 ):

Directions (56-60): Read the following table and answer the following question :

Total number of voters in different districts and Percentage of male out of these voters are given. /


The no. of female voters from district F is what percent more/less than the no. of male voters from district A? (rounded off to nearest integer)


a

290%

b

230%

c

305%

d

300%

e

None of these


32.

Total number of male voters from district A and B together are how much more/less than total number of female voters from district E and D together?


a

31

b

25

c

32

d

21

e

None of these


33.

The average of total voters from district B, C and D together are approximately what percent less/more than the no. of male of voters from districts D,E and F together?


a

16.66%

b

66.66%

c

24.44%

d

33.33%

e

none of these


34.

Find the ratio of the male voters from district D and E together to the female voters form district C, E and F together?


a

10 : 61

b

10 : 41

c

10 : 51

d

10 : 31

e

None of these


35.

Find the ratio of no. of male voters from districts B and E together to the no. of female voters from districts C and A together?


a

351:430

b

361:430

c

341:230

d

231:410

e

None of these


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