1.

The x-intercept of the graph of 5x – 4y = 20 is 5x – 4y = 20


a

9 units

b

1 unit

c

4 units

d

5 units


2.

For what value of N, the number 34N will be a perfect cube, where 34N is a 3–digit number?


a

2

b

3

c

4

d

5


3.

What is the value of

11112+11116+111112+111120+111130?111 \frac{1}{2}+111 \frac{1}{6}+111 \frac{1}{12}+111 \frac{1}{20}+111 \frac{1}{30} ?


a

11116111 \frac{1}{6}

b

11156111 \frac{5}{6}

c

55556555 \frac{5}{6}

d

55516555 \frac{1}{6}


4.

In an equilateral triangle ABC, BC is trisected at D. Which of the following relations is correct ?


a

9 AD2 = 7 AB2

b

3 AD = 2 AB

c

5 AD2 = 4 AB2

d

None of these


5.

Points A and B are 90 km apart from each other on a highway. A car starts from A and another from B at the same time. If they go in the same direction, they meet after 9 hours and if they go in opposite directions, they meet after 97\frac{9}{7} hours. The speeds (in km/hr) of A and B are


a

40, 30

b

35, 65

c

25, 45

d

20, 50


6.

A printer puts numbers on the pages of a book starting with 1. He uses 3189 digits in all. The number of pages in the book is


a

1595

b

1075

c

1074

d

1070


7.

Find the equation of a line which passes through the point of intersection of lines x + 2y = 5 and x – 3y = 7 and also passes through the point (0, –1) ml js


a

3x – 29y + 1 = 0

b

3x – 29y – 29 = 0

c

3x + 4y – 6 = 0

d

–3x + 29y + 7 = 0


8.
In the following figure, ADBC\mathrm{AD} \perp \mathrm{BC} and BDDA=DADC\frac{\mathrm{BD}}{\mathrm{DA}}=\frac{\mathrm{DA}}{\mathrm{DC}} then BAC=?\angle B A C=?

a

60°

b

45°

c

120°

d

90°


9.

If the surface area, volume, height, base-area and perimeter of base of a right prism be S sq. unit, V cubic unit, h unit, A sq. unit and P units respectively then :


a

A=VPS\mathrm{A}=\frac{\mathrm{VP}}{\mathrm{S}}

b

P=AVS\mathrm{P}=\mathrm{AVS}

c

SP=AV\mathrm{SP}=\mathrm{AV}

d

V=APS\mathrm{V}=\frac{\mathrm{AP}}{\mathrm{S}}


10.

A truck covers a distance of 600 metres in 1 minute whereas a bus covers a distance of 32 km in 40 minutes. The ratio of their speeds is


a

1 : 2

b

2 : 3

c

3 : 4

d

4 : 5


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