1.

The given pie chart shows the expenditure (in degrees) incurred on making a motorcycle.


The expenditure incurred on seat is how much percent less than the expenditure incurred on tyres?


a

78.22

b

85.33

c

83.33

d

66.66


2.

Expenditure incurred on others is how much percent more than the expenditure incurred on paint?


a

24

b

57.33

c

40

d

66.66


3.

If the expenditure incurred on tyres is Rs. 15000, then what is the expenditure incurred on painting?


a

30000

b

6000

c

7500

d

8000


4.

If the total expenditure incurred is Rs. 60000, then what is the expenditure on seat?


a

2000

b

6000

c

3000

d

12000


5.

If the expenditure on tyres is Rs. 10000, then the expenditure on paint is how much more (in Rs.) more than the expenditure on seat?


a

3122.22

b

2733.33

c

3555.55

d

3333.33


6.


A tent is to be built in the form of a cylinder of radius 10 metre surmounted by a cone of the same radius. If the height of the cylindrical part is 5 metre and slant height of the conical part is 15 metre, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (left( ight. Take π=227)left.pi=frac{22}{7} ight)


a

714.43 sq. metre

b

942.85 sq. metre

c

772.14 sq. metre

d

783.86 sq. metre


7.

The simplified form of 112b3x2a4z37a3b2zfrac{112 b^{3} x^{2} a^{4} z^{3}}{7 a^{3} b^{2} z}


a

16ba2z

b

16bx2az2

c

16bxa2z

d

16bx2a2z


8.

If 2a(2a)+4=02 a-left(frac{2}{a} ight)+4=0, then what is the value of a3a^{3}- (1a3)+14?left(frac{1}{a^{3}} ight)+14 ?


a

–12

b

–14

c

14

d

0


9.

What is the equation of the line if its slope is 34frac{3}{4} and yy-intercept is 5?5 ?


a

3x + 4y = 20

b

3x – 4y = 20

c

3x + 4y = – 20

d

3x – 4y = – 20


10.

7 hours after a goods train passed a station, another train travelling at a speed of 54 km./hr. following that goods train passed through that station. If after passing the station the train overtakes the goods train in 11 hours, what is the speed of the goods train?


a

39.6 km./hr

b

49.5 km./hr

c

33 km./hr

d

26.4 km./hr


11.

If αalpha and βeta are the roots of the equation x2x+3x^{2}-x+3 =0=0, then what is the value of (α4+β4)?left(alpha^{4}+eta^{4} ight) ?


a

9

b

11

c

7

d

13


12.

Find the equation of the line which passes through the point (2, 2) and makes an angle of 45° with x-axis ?


a

2x + y = 3

b

x – y = 0

c

x – 2y = 4

d

x + y = 2


13.

If cos4A – sin4A = x, then the value of x is ;


a

2cos2A – 1

b

2cos2A + 1

c

cos2A – 1

d

cos2A + 1


14.

The average age of four boys, five years ago was 9 years. On including a new boy, the present average age of all the five is 15 years. The present age of the new boy is


a

15 years

b

6 years

c

14 years

d

19 years


15.

If (a – b) = 3, (b – c) = 5 and (c – a) = 1, then the value of a3+b3+c33abca+b+cfrac{a^{3}+b^{3}+c^{3}-3 a b c}{a+b+c} is


a

20.5

b

10.5

c

15.5

d

17.5


16.

Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank in


a

3123 frac{1}{2} hours

b

4 hours

c

2122 frac{1}{2} hours

d

6 hours


17.

Two tangents are drawn from a point Pmathrm{P} to a circle at Amathrm{A} and Bmathrm{B}. Omathrm{O} is the centre of the circle. If angle AOP =60=60^{circ}, then APBangle mathrm{APB} is


a

90°

b

120°

c

30°

d

60°


18.

If cos A+cos2 A = 1, then sin2 A+sin4 A is equal to ;


a

0

b

1

c

–1

d

12frac{1}{2}


19.

If x + y = 7, then what is the value of x3 + y3 + 21xy ?


a

288

b

49

c

294

d

343


20.

If 6×15=x10sqrt{6} imes sqrt{15}=x sqrt{10}, then the value of xx is


a

3

b

6

c

3

d

± 3


21.

If x2+1x2=2x^{2}+frac{1}{x^{2}}=2, then what is the value of x6?x^{6} ?


a

6

b

1

c

0

d

3


22.

On dividing 144a3b3c3 by 24ab2c, we get 24ab2c }kjk 144a3b3c3


a

6a2bc2

b

6a3b2c

c

24b2c

d

24a3bc2


23.

Ticket for an adult is 1600 and a child is 1200. 1 child goes free with two adults. If a group has 23 adults and 10 children, what is the discount the group gets?


a

25.77 per cent

b

31.60 per cent

c

25.95 per cent

d

24.59 per cent


24.

If x2x68+1=0x^{2}-x sqrt{68}+1=0, then what is the value of (x1x)?left(x-frac{1}{x} ight) ?


a

66sqrt{66}

b

8

c

62sqrt{62}

d

6


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