Mathematics · Quantitative Aptitude

Ratios and Proportions

309 Questions

Ratios and proportions deal with comparing two or more quantities and finding their relationships. The questions involve calculating compound ratios, duplicate ratios, and solving proportional equations. This topic is a crucial part of the mathematics and quantitative aptitude sections in competitive exams.

compound ratiosduplicate ratiosproportion equationssimple ratio calculationscombining multiple ratios

Ratios and Proportions Questions

Multiple choice

What is the relationship between the Fibonacci sequence and the golden ratio?

  1. The golden ratio is the limit of the ratio of consecutive Fibonacci numbers.

  2. The golden ratio is the sum of the first two Fibonacci numbers.

  3. The golden ratio is the difference of the first two Fibonacci numbers.

  4. The golden ratio is the product of the first two Fibonacci numbers.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The golden ratio is the limit of the ratio of consecutive Fibonacci numbers as the numbers get larger.

Multiple choice

What was the ratio of gold to silver in punch-marked coins?

  1. 1:10

  2. 1:20

  3. 1:30

  4. 1:40
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The ratio of gold to silver in punch-marked coins was 1:10.

Multiple choice

What is the Golden Ratio?

  1. The ratio of two numbers that is equal to the ratio of their sum to the larger number.

  2. The ratio of two numbers that is equal to the ratio of their difference to the smaller number.

  3. The ratio of two numbers that is equal to the ratio of their product to the larger number.

  4. The ratio of two numbers that is equal to the ratio of their quotient to the smaller number.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Golden Ratio is a special number approximately equal to 1.618. It is the ratio of two numbers that is equal to the ratio of their sum to the larger number.

Multiple choice

According to the Golden Ratio, what is the ideal proportion found in nature and art?

  1. 1:1.618

  2. 1:1.414

  3. 1:1.732

  4. 1:1.848
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Golden Ratio, also known as the Divine Proportion, is approximately 1:1.618. It is believed to be aesthetically pleasing and has been observed in various natural forms and artistic compositions.

Multiple choice

What is the Golden Ratio?

  1. A ratio of two numbers that is equal to the ratio of their sum to the larger number

  2. A ratio of two numbers that is equal to the ratio of their difference to the smaller number

  3. A ratio of two numbers that is equal to the ratio of their product to their sum

  4. A ratio of two numbers that is equal to the ratio of their quotient to their product
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Golden Ratio is a special ratio that is often found in nature and art. It is approximately equal to 1.618.

Multiple choice

What is the golden ratio?

  1. A mathematical ratio of approximately 1.618:1.

  2. A mathematical ratio of approximately 1.732:1.

  3. A mathematical ratio of approximately 1.846:1.

  4. A mathematical ratio of approximately 1.963:1.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The golden ratio is a mathematical ratio of approximately 1.618:1. It is often used in art and design to create compositions that are visually appealing.

Multiple choice

What is the golden ratio?

  1. A mathematical ratio that is approximately equal to 1.618.

  2. A mathematical ratio that is approximately equal to 1.732.

  3. A mathematical ratio that is approximately equal to 1.846.

  4. None of the above.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The golden ratio is a mathematical ratio that is approximately equal to 1.618.

Multiple choice

The 'Golden Ratio', approximately equal to 1.618, is considered aesthetically pleasing and is often used in:

  1. Indian classical dance choreography

  2. Indian miniature painting compositions

  3. Indian temple architecture proportions

  4. All of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The Golden Ratio, also known as the Divine Proportion, is believed to possess inherent beauty and harmony. It is found in various aspects of Indian art, including dance, painting, and architecture.

Multiple choice

The Golden Ratio, often denoted by the Greek letter φ, is approximately equal to:

  1. 1.618

  2. 3.141

  3. 2.718

  4. 0.618
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Golden Ratio is an irrational number approximately equal to 1.618. It is often found in nature and art and is considered aesthetically pleasing.

Multiple choice

In architecture, the concept of Golden Ratio is often used to create aesthetically pleasing designs. What is the approximate value of the Golden Ratio?

  1. 1.618

  2. 2.718

  3. 3.142

  4. 4.242
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Golden Ratio, also known as the Divine Proportion, is an irrational number approximately equal to 1.618. It is often used in architecture, art, and design to create visually appealing compositions.

Multiple choice

Which cropping technique is based on a mathematical ratio of 1:1.618?

  1. Center cropping

  2. Rule of thirds cropping

  3. Golden ratio cropping

  4. Square cropping
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The golden ratio, also known as the divine proportion, is a mathematical ratio of approximately 1:1.618. Golden ratio cropping involves dividing the image into sections based on this ratio, creating a visually pleasing composition.

Multiple choice

What is the name of the theorem that states that the ratio of the golden ratio is approximately 1.618?

  1. Golden Ratio Theorem

  2. Pythagoras' Theorem

  3. Euler's Theorem

  4. Descartes' Theorem
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Golden Ratio Theorem, also known as the Divine Proportion Theorem, establishes that the ratio of the golden ratio is approximately 1.618.

Multiple choice

What is the aspect ratio of a standard 16:9 video?

  1. 4:3

  2. 16:9

  3. 2.35:1

  4. 1.85:1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A standard 16:9 video has an aspect ratio of 16:9, which is the most common aspect ratio used in television and film.

Multiple choice

What is the aspect ratio of a 2.35:1 film?

  1. 4:3

  2. 16:9

  3. 2.35:1

  4. 1.85:1
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A 2.35:1 film has an aspect ratio of 2.35:1, which is commonly used in widescreen filmmaking.

Multiple choice

What is the golden ratio in photography?

  1. A mathematical ratio of approximately 1:1.618

  2. A compositional guideline that divides the frame into thirds, both horizontally and vertically

  3. A compositional guideline that divides the frame into four equal parts

  4. A compositional guideline that divides the frame into two equal parts
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The golden ratio is a mathematical ratio of approximately 1:1.618, often used in art and design to create a sense of balance and harmony. It is believed to be aesthetically pleasing and can be applied to various aspects of photography, such as composition and cropping.