1.

67\frac{6}{7} th part of a tank is filled with oil. After taking out 60 litres of oil, the tank is 45\frac{4}{5} th part full. What is the capacity (in litres) of the tank?


a

350

b

700

c

360

d

1050


2.

If the total income in a year be 733 crores then the income (in crores) from ’Income tax’ and ’Excise duty’ is :


a

329.85

b

331.50

c

331.45

d

329.80


3.

The central angle of the sector representing income tax is :


a

126°

b

135°

c

150°

d

119°


4.

If the income from the market tax in a year be 165 crores then the total income from other sources is (in crore)


a

325

b

335

c

365

d

345


5.

A librarian purchased 50 story–books for his library. But he saw that he could get14 more books by spending Rs. 76 more and the average price per book would be reduced by Re. 1. The average price (in Rs.) of each book he bought, was :


a

15

b

10

c

25

d

20


6.

If secθ+tanθ=2+5\sec \theta+\tan \theta=2+\sqrt{5}, then the value of sinθ\sin \theta is (0θ90)\left(0^{\circ} \leq \theta \leq 90^{\circ}\right)


a

32\frac{\sqrt{3}}{2}

b

25\frac{2}{\sqrt{5}}

c

15\frac{1}{\sqrt{5}}

d

45\frac{4}{5}


7.

If 1+cos2θ=3sinθcosθ1+\cos ^{2} \theta=3 \sin \theta \cos \theta, then the integral value of cotθ(0<θ<π2)\cot \theta\left(0<\theta<\frac{\pi}{2}\right) is


a

1

b

2

c

0

d

3


8.

Two towers A and B have lengths 45m and 15m respectively. The angle of elevation from the bottom of the tower B to the top of the tower A is 60°. If the angle of elevation from the bottom of tower A to the top of the tower B is θ the value of sinθ is:


a

12\frac{1}{\sqrt{2}}

b

12\frac{1}{2}

c

32\frac{\sqrt{3}}{2}

d

23\frac{2}{\sqrt{3}}


9.

The least number of years in which a sum of money on 19% p.a. compound interest will be more than double is


a

3 years

b

4 years

c

5 years

d

2 years


10.

The value of 0.324×0.081×4.6241.5625×0.0289×72.9×64\sqrt{\frac{0.324 \times 0.081 \times 4.624}{1.5625 \times 0.0289 \times 72.9 \times 64}} is


a

2.4

b

24

c

0.024

d

0.24


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