1)The difference between two positive numbers is 3. If the sum of their squares is 369, then the sum of the numbers is

a) 81

b) 33

c) 27

d) 25

2)A man rows a boat 18 km in 4 h downstream and returns upstream in 12 h. the speed of the stream (in km/h) is

a) 1

b) 1.5

c) 2

d) 1.75

3) A certain sum amount to Rs 5832 in 2 yr at 8% per annum compound interest, the sum is

a) Rs 5000

b) Rs 5200

c) Rs 5280

d) Rs 5400

4) The ratio in which two sugar solution of the concentrations 15% and 40% are to be mixed to get a solution of concentration 30% is

a) 2 : 3

b) 3 : 2

c) 8 : 9

d) 9 : 8

5) The height of a right circular cone is 84 cm and its base radius is 3.5. its volume is

a) 3234 cm^{3}

b) 1078 cm^{3}

c) 2156 cm^{3}

d) 2496 cm^{3}

6) Average age of A, B and C is 36 yr. if average age of B and C is 30 yr and age of B is 22 yr, then what is the sum of the ages of A and C ?

a) 68 yr

b) 86 yr

c) 58 yr

d) 61 yr

7) What the least number of five digits is exactly divisible by 41 ?

a) 10045

b) 10004

c) 10041

d) 10025

8) (2sin^{2} 30^{0} – 3 cos^{2} 45^{0} + tan^{2} 60^{0}) =?

a) 1

b) 2

c) 4

d) 5

9) How many diagonals does a regular polygon of 15 sides ?

a) 60

b) 64

c) 90

d) 50

10) Expenditure on rent on rent is more than is more than that on miscellaneous purpose by

a) 62.5%

b) 75%

c) 25 1/3 %

d) 42 6/7 %

11) A man walking with ¾ of his usual speed, reaches office 20 min late. His usual time is

a) 50 min

b) 80 min

c) 70 min

d) 60 min

12) The average of 7 consecutive numbers is 20. The largest of these numbers is

a) 24

b) 23

c) 22

d) 20

13) If ( a – 1)^{2} + ( b+ 2)^{2} +(c +1)^{2} = then the value of a – b + c is

a) 12

b) 3

c) – 11

d) 1

14) If p =3/5, q =7/9, r =5/7, then which of the following inequality is true ?

a) p<q<r

b) q<r<p

c) p<r<q

d) r<q<p

15) By selling an article for Rs 31 a shopkeeper loses 7%. If he sells the article for Rs 35, then what is gain or loss per cent?

a) Loss 3%

b) Gain 5%

c) Loss 5%

d) Gain 3%