Geometry and Mensuration: Level 1 Test 9

This is an assessment test.
To draw maximum benefit, study the concepts for the topic concerned.
Kindly take the tests in this series with a pre-defined schedule.

Geometry and Mensuration: Level 1 Test 9

Please wait while the activity loads.
If this activity does not load, try refreshing your browser. Also, this page requires javascript. Please visit using a browser with javascript enabled.

If loading fails, click here to try again

Congratulations - you have completed Geometry and Mensuration: Level 1 Test 9.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1

The number of bricks, each measuring 25 cm x 12.5 cm x 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the mortar occupies 5% of the volume of the wall, is

A	5740
B	6080
C	3040
D	8120

Question 1 Explanation:

$ \displaystyle Total\text{ }number\text{ }of\text{ }bricks\text{ }required\text{ }=\frac{600\times 500\times 50\times 0.95}{25\times 12.5\times 7.5}=6080$

Question 2

A and B travel around a circular path at uniform speeds in opposite directions, starting from diametrically opposite points, at the same time. They meet each other first after B has travelled 100 metres and meet again 60 metres before A completed one round. The circumference of the park is

A	240 m
B	300 m
C	320 m
D	480 m

Question 2 Explanation:

Let A travel x m in the first meeting and thus the ratio of speeds of A and B is x/100.
Total circumference = 2(x+100) as they were diametrically opposite.
In the 2^nd meeting A has travelled 2x+200-60 = 2x+140.
B has travelled = 100+x+60 = 160+x,
Ratio of speed A:B = 2x+140/160+x
Equating the two ratios we will get,
x= 140.
Thus the circumference = 2X140+200 = 480 m

Question 3

If the radius of circle is increased by 50%, then the area of the circle is increased by

A	125%
B	100%
C	75%
D	50%

Question 3 Explanation:

Area is directly proportional to r²
=> Area is directly proportional to (1.5 r²)
=> Area is directly proportional to 2.25r
The area has increased by (2.25 -1)x100 = 125%

Question 4

Four sheets 50 cm x 5 cm are arranged without overlapping to form a square having side 55 cm. What is the area of inner square so formed?

A	2500 cm²
B	2025 cm²
C	1600 cm²
D	None of these

Question 4 Explanation:

The side of the inner square = 55 – 2 x 5 = 45 cm = 55 -2X5 = 45 cm.
The area of the inner square = 45² =2025 cm²

Question 5

A photo measures 0.9 x cm by 0.94 x cm. It is to be enlarged so that the larger dimension will be 6 cm. The length of the enlarged shorter dimension will be