test 2

1.

1 point

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

a) 173 m

b) 200 m

c) 273 m

d) 300 m

2.

1 point

The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

a) 40 %

b) 42 %

c) 44 %

d) 46 %

3.

1 point

On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?

a) Tuesday

b) Monday

c) Sunday

d) Wednesday

4.

1 point

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

a) 0

b) 1

c) 10

d) 19

5.

1 point

It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

a) 2^16 + 1

b) 2^16 - 1

c) 7 * 2^23

d) 2^96 + 1

6.

1 point

How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?

a) 5

b) 10

c) 15

d) 20

7.

1 point

What is the probability of getting a sum 9 from two throws of a dice?

a) 1/6

b) 1/9

c) 1/8

d) 1/12

8.

1 point

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

a) 1/2

b) 2/5

c) 8/15

d) 9/20

9.

1 point

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

a) 564

b) 645

c) 735

d) 756

e) None of these

10.

1 point

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is

a) 2:1

b) 3:1

c) 3:2

d) 4:3

11.

1 point

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

a) 144 degree

b) 150 degree

c) 168 degree

d) 180 degree

12.

1 point

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

a) 15360

b) 153600

c) 30720

d) 307200

13.

1 point

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

a) 3

b) 4

c) 9

d) Cannot be determined

e) None of these

14.

1 point

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

a) 18

b) 24

c) 42

d) 81

15.

1 point

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

a) 2:1

b) 3:2

c) 8:3

d) Cannot determined

e) None of these