Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

The height of a tree varies as the square root of its age (between 5 to 17 years). When the age of the tree is 9 years, its height is 4 feet. What will he the height of the tree at the age of 16 years?

A) 5 feet 4 inches
B) 5 feet 5 inches
C) 4 feet 4 inches
D) 4 feet 5 inches

Correct Answer:

A) 5 feet 4 inches

Description for Correct answer:
Height of the tree varies as square root of its age

\( \Large H \propto \sqrt{A} \)

\( \Large H = K\sqrt{A} \) ... (i)

Putting the value of A and H in equation (i) we get

\( \Large 4 = K\sqrt{9} \)

4 = K(3)

\( \Large K = \frac{4}{3} \)

\( \Large H = \frac{4}{3}\sqrt{A} \)

the original equation

Height of tree at age of 16 years

=\( \Large \frac{4}{3}\sqrt{13} = \frac{16}{3} feet \)

= 5 feet 4 inches

Part of solved CDS Maths(1) questions and answers : Exams >> CDSE >> CDS Maths(1)

Comments

Similar Questions

1). The ratio of ages of A and B is 2 : 5 and the ratio of ages B and C is 3 : 4. What is the ratio of ages of A, B and C?

A). 6:15:20

B). 8:05:03

C). 6:05:04

D). 2:15:04

2). When an article is sold at 20% discount, the selling price is Rs 24. What will be the selling price when the discount is 30%? (

A). Rs.25

B). Rs.23

C). Rs.21

D). Rs.20

3). A shopkeeper sells his articles at their cost price but uses a faulty balance which reads 1000 g for 800 g. What is his actual profit percentage.

A). 25%

B). 20%

C). 40%

D). 30%

4). The difference between compound interest and simple interest for 2 years at the rate of 10% over principal amount of z X is z 10. What is the value of X ?

A). RS.100

B). RS.1,000

C). RS.500

D). RS.5,000

5). A sum of money becomes 3 times in 5 years at simple interest. In how many year will the same sum become 6 times at the same rate of simple interest? (

A). 10 years

B). 12 years

C). 12.5 years

D). 10.5 years

6). A man buys 200 oranges for Rs.1,000. How many oranges for Rs.100 can he sell to that his profit percentage is 25%?

A). 10

B). 14

C). 16

D). 20

7). If m% of m + n =2% of (m X n), then what percentage of m is n ?

A). 50%

B). 75%

C). 100%

D). Cannot be determined due to insufficient data

8). If the side of a cube is increased by 100% then by what percentage is the surface area of the cube increased?

A). 150%

B). 200%

C). 300%

D). 400%

9). How many pairs. M p positive integers \( m\) and \( n\) satisfy the equation \( \Large \frac{1}{m} \)+\( \Large \frac{4}{n} \)= \( \Large \frac{1}{12} \)
Where \( n\) is an odd integer less than 60?

A). 7

B). 5

C). 4

D). 3

10). The sides of a triangle are in the ratio \( \Large \frac{1}{2} \) : \( \Large \frac{1}{3} \) : \( \Large \frac{1}{4} \) If its perimeter is 52 cm, then what is the length of the smallest side?

A). 9 cm

B). 10 cm

C). 11 cm

D). 12 cm