1.

The table given below shows the runs scored by 5 players in four matches.


Runs scored by A in match II is what per cent of the total runs scored by these five players in match II?


a

71.07 per cent

b

35.14 per cent

c

28.92 per cent

d

55.13 per cent


2.

Runs scored by C in match II is how much per cent more than the runs scored by C in match I?


a

13.33 per cent

b

16.66 per cent

c

11.76 per cent

d

17.12 per cent


3.

What is the correct order of averages of the given players in the four matches?


a

A > E > B > C > D

b

E > A > C > D > B

c

A > E > C > D > B

d

E > A > D > C > B


4.

What is the difference between total runs scored by A and B in four matches?


a

98

b

111

c

123

d

135


5.


Equation of line 3x+y8=0sqrt{3} x+y-8=0 can be represented in normal form as


a

3xy8=0sqrt{3} x-y-8=0

b

3x2y282=0frac{sqrt{3} x}{2}-frac{y}{2}-frac{8}{2}=0

c

3x2+y282=0frac{sqrt{3} x}{2}+frac{y}{2}-frac{8}{2}=0

d

3x+y4=0sqrt{3} x+y-4=0


6.

The value of 3 (sin x – cos x)4 + 6 (sin x + cos x)2 + 4 (sin6 x + cos6 x) is


a

11

b

12

c

14

d

13


7.

The graphs of 2x + 1 = 0 and 3y – 9 = 0 intersect at the point 2x + 1 = 0


a

(12,3)left(-frac{1}{2}, 3 ight)

b

(12,3)left(-frac{1}{2},-3 ight)

c

(12,3)left(frac{1}{2},-3 ight)

d

None of these


8.

In a right-angled triangle ABC, ∠ABC = 90°, AB = 5 cm and BC = 12 cm. The radius of the circumcircle of the triangle ABC is


a

7 cm

b

7.5 cm

c

6 cm

d

6.5 cm


9.

In a family of 5 members, the average age at present is 33 years. The youngest member is 9 years old. The average age of the family just before the birth of the youngest member was


a

24 years

b

25 years

c

29 years

d

30 years


10.

The numerical value of 11+cot2θ+31+tan2θ+2sin2θfrac{1}{1+cot ^{2} heta}+frac{3}{1+ an ^{2} heta}+2 sin ^{2} heta will be


a

6

b

2

c

5

d

3


11.

If x=12x=1-sqrt{2}, the value of (x1x)3left(x-frac{1}{x} ight)^{3} is


a

8-8

b

222 sqrt{2}

c

8

d

1


12.

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work ?


a

8 days

b

2 days

c

121212 frac{1}{2} days

d

7 days


13.

The price of motorcycle depreciates every year by 8%. If the value of the motorcycle after 2 years will be Rs. 84640, then what is the present value (in Rs.) of the motorcycle ?


a

110000

b

90000

c

100000

d

102000


14.

If (a+b+c)=0(a+b+c)=0, then (a2bc+b2ca+c2ab)left(frac{a^{2}}{b c}+frac{b^{2}}{c a}+frac{c^{2}}{a b} ight) is


a

–1

b

3

c

0

d

1


15.

P is 20% more than Q and 40% less than R. If value of Q is Rs. 150, then what is the value of R (in Rs.) ?


a

250

b

320

c

300

d

220


16.

Two circles intersect at A and B. P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is


a

PT = PQ

b

PT < PQ

c

PT = 2PQ

d

PT > PQ


17.

The diameter of a cycle wheel is 14 cm. A cyclist takes 30 minutes to reach a destination at a speed of 11 km/hr. How many revolutions will the wheel make during the journey?


a

15000

b

20000

c

17750

d

12500


18.

The value of secθ(1+sinθcosθ+cosθ1+sinθ)2tan2θsec hetaleft(frac{1+sin heta}{cos heta}+frac{cos heta}{1+sin heta} ight)-2 an ^{2} heta is


a

0

b

1

c

4

d

2


19.

If x+1x=99x+frac{1}{x}=99, find the value of 100x2x2+102x+2frac{100 x}{2 x^{2}+102 x+2}


a

12frac{1}{2}

b

13frac{1}{3}

c

16frac{1}{6}

d

14frac{1}{4}


20.

A person can row a distance of one km upstream in ten minutes and downstream in four minutes. What is the speed of the stream ?


a

9 km/h

b

4 km/h

c

5.6 km/h

d

4.5 km/h


21.

A bus left 60 minutes later than the scheduled time but in order to reach its destination 48 km away in time, it had to increase the speed by 4 km/hr from the usual speed. What is usual speed (in km/hr) of the bus ?


a

12

b

8

c

9

d

15


22.

The value of 41+tan2α+11+cot2α+3sin2αfrac{4}{1+ an ^{2} alpha}+frac{1}{1+cot ^{2} alpha}+3 sin ^{2} alpha


a

3

b

–1

c

4

d

2


23.

If sinx=13sin x=frac{1}{3}, then the value of sin3xsin 3 x will be


a

2713frac{27}{13}

b

2723frac{27}{23}

c

1327frac{13}{27}

d

2327frac{23}{27}


24.

In a college, 40% of the students were allotted group A, 75% of the remaining were given group B and the remaining 12 students were given group C. Then the number of students who applied for the groups is


a

60

b

80

c

92

d

100


25.

If a certain sum becomes two times in 7 years at compound interest, then in how many years, it will become eight times ?


a

35

b

21

c

14

d

28


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