Overview Exercise "Life is like riding a bicycle. To keep your balance you must keep moving."
- Albert Einstein
11.
A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:
Answer: Option A
Explanation:
Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)
40.25 : 28.75 :: 17.5 : x 40.25 x x = 28.75 x 17.5
x = 12.5
12.
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Answer: Option E
Explanation:
There is a meal for 200 children. 150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children 120 men.
50 children
120
x 50
= 30 men.
200
13.
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
Answer: Option D
Explanation:
Le the required time be x seconds.
More metres, More time (Direct Proportion)
0.128 : 25 :: 1 : x 0.128x = 25 x 1
x =
25
=
25 x 1000
0.128
128
x = 195.31.
Required time = 195 sec (approximately).
14.
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Answer: Option D
Explanation:
Let the required number of days be x .
Less men, More days (Indirect Proportion)
27 : 36 :: 18 : x 27 x x = 36 x 18
x =
36 x 18
27
x = 24.
15.
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
Answer: Option A
Explanation:
Let the required number of bottles be x .
More weavers, More mats (Direct Proportion)
More days, More mats (Direct Proportion)
Wavers
4
:
8
:: 4 : x
Days
4
:
8
4 x 4 x x = 8 x 8 x 4
x =
(8 x 8 x 4)
(4 x 4)
x = 16.