Golden Ratio

Q.

In a school, there were $73$ holidays in one year. What is the ratio of the number of holidays to the number of days in one year?

Q.

Present age of father is $42$ years and that of his son is $14$ years. Find the ratio of (a) Present age of father to the present age of son (b) Age of the father to the age of son, when son was $12$ years old. (c) Age of father after $10$ years to the age of son after $10$ years. (d) Age of father to the age of son when father was $30$ years old.

Q. There are 16 boys and 12 girls in a classroom. What is the ratio of the boys to the girls?​

1. 4:3
2. 3:4
3. 2:5
4. 3:5

Q.

Solve the following.

Cost of 100g of coffee powder is Rs. 24 and 1kg of tea powder costs Rs.80. Find the ratio of the cost of coffee powder to the tea?

Q.

Out of $36$ students in a class, $9$ participate in a classical dance, $12$ participated in English debate and the remaining participated in a singing competition. Find the ratio of number of students participated in classical dance to the number of students participated in English debate​.

Q. Find the ratio of 40 seconds to 2 minutes.

1. 2:7
2. 3:7
3. 1:5
4. 1:3

Q.

A proportion is a statement that two ratios are …………………. . [ equivalent / same ]

Q.

Human face can be an example for golden ratio. This is:

a)True

b) False

1. a)

2. b)

Q.

If 2 : 3 :: 𝑥 : 6 are in proportion, then 𝑥 = ____.

1. 18
2. 12
3. 4
4. 9

Q.

Ratio of half an hour to $40$ minutes is

1. $1:80$

2. $1:20$

3. $3:4$

4. $4:3$

Q. Find the ratio of the price of pencil to that of ball pen, if pencils cost Rs 16 per score and ball pens cost Rs 8.40 per dozen.

Q.

If a line is divided into 2 parts with the lengths of larger one and smaller one as "a" and " b" respectively. Then ,

which of the following must be true to get the golden ratio 1.618 ?

a) $\frac{a+b}{a}=\frac{b}{a}$

b) $\frac{a+b}{a}=\frac{a}{b}$

c) $\frac{ab+b}{a}=\frac{b}{a}$

d) $\frac{a+b}{a}=\frac{ab}{a}$

1. b)

2. a)

3. c)

4. d)

Q.

Find the ratio of $40\mathrm{cm}$ to $1.5\mathrm{m}$.

Q.

Match each of the entries in Column I with the appropriate entries in Column II.
$\begin{array}{ccc}& & \\ \text{Column I}& & \text{Column II}\\ 100\%& \text{C.}& Rs.53\end{array}$

Q.

Which one of the following gives the golden ratio ?

a) $\frac{1+\sqrt{5}}{2}$

b) $\frac{2+\sqrt{5}}{2}$

c) $\frac{2+5}{2}$

d) $\frac{1+\sqrt{7}}{2}$

1. b)

2. a)

3. c)

4. d)

Q.

Solve the following.

The population of Mallapur village is 4, 500, of which 1, 350 are literates. Find

(i) the ratio of total population to the number of illiterates in the simplest form.

(ii) the ratio of total population to the number of literates in the simplest form.

(iii) the ratio of literates to the illiterates in its simplest form.

Q. $\frac{1}{2}$ , $\frac{2}{4}$ , , $\frac{8}{16}$

1. $\frac{4}{8}$
2. $\frac{6}{18}$
3. $\frac{3}{9}$

Q.

Which of the following is known as the Golden Ratio?

1. 1.659

2. 1.618

3. 1.528

4. 1.513

Q. There are 16 boys and 12 girls in a classroom. What is the ratio of the boys to the girls?​

1. 4:3
2. 3:4
3. 2:5
4. 3:5

Q. is known as the Golden Ratio.

1. $1.513$
2. $1.618$
3. $1.659$

Q. Find the next 2 successive numbers of the series 10, 8, 6...

1. 12, 14
2. 2, -1
3. 4, 2
4. 3, 0

Q. There are 45 people working in an office. If the number of females is 25 and the remaining are males, find the ratio of the number of females to number of males.

Q. Find the ratio of 40 seconds to 2 minutes.

1. 3:7
2. 2:7
3. 1:3
4. 1:5

Q. Find the next 2 successive numbers of the series 10, 8, 6...

1. 12, 14
2. 3, 0
3. 4, 2
4. 2, -1

Q. Find the next 2 successive numbers of the series 10, 8, 6...

1. 12, 14
2. 2, -1
3. 4, 2
4. 3, 0

Q. Find the next 2 successive numbers of the series 10, 8, 6...

1. 12, 14
2. 4, 2
3. 2, -1
4. 3, 0