Ratios & Proportions Quiz

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Questions and Answers

What is the current age ratio between a mother and her son?

  • 4:1
  • 6:1 (correct)
  • 3:1
  • 5:1

What will be the age ratio of a father to a mother when the son reaches the mother's current age?

  • 12:11
  • 13:11 (correct)
  • 15:10
  • 14:10

What is the total age of the father and son when the son becomes as old as the father now?

  • 100 years
  • 115 years (correct)
  • 120 years
  • 110 years

What was the age ratio of A and B eight years ago?

<p>9:10 (C)</p> Signup and view all the answers

What will be the age ratio of A and B four years from now?

<p>12:13 (B)</p> Signup and view all the answers

If C's age is 6 years more than A's age, what is C's age when A is currently 42 years old?

<p>46 years (C)</p> Signup and view all the answers

What was Poorvi's age compared to her children eight years ago?

<p>Equal to the sum of their ages (B)</p> Signup and view all the answers

What will be the age ratio between Poorvi's daughter and son five years from now?

<p>7:6 (B)</p> Signup and view all the answers

How much older is Poorvi's husband compared to her?

<p>7 years (A)</p> Signup and view all the answers

What is Poorvi's husband’s current age if he is three times the present age of their son?

<p>48 years (D)</p> Signup and view all the answers

What will be the ratio of the present ages of 'A' and 'C' if 'B's age will be 75% of 'C's age 15 years from now?

<p>4:3 (D)</p> Signup and view all the answers

What was Kunal's age 8 years ago?

<p>28 years (C)</p> Signup and view all the answers

What is the present age of the son if the sum of the present ages of the parents is 85 years?

<p>19 years (A)</p> Signup and view all the answers

If the father was 6 times the son's age 3 years ago and will exceed by 35 years in 2 years, what is their current age ratio?

<p>3:1 (B)</p> Signup and view all the answers

What will be the ratio of ages of P and Q after how many years if the current age difference between them is a square of the difference of their ages?

<p>4 years (A)</p> Signup and view all the answers

If Rani is 2 years younger than Rohit and their age ratio with Arushi is 13:9, how many years younger is Rani than Sameer?

<p>14 years (D)</p> Signup and view all the answers

What is Kusum's present age if Suman stated that 4 years ago he was 80% of her present age?

<p>40 years (A)</p> Signup and view all the answers

What will be the age ratio of Daksha and Manu 7 years from now if Daksha and Kritika's current ages sum to 126 years?

<p>11:9 (C)</p> Signup and view all the answers

What is the average age of the five persons given that Ajay is 22 years old?

<p>25.2 years (A)</p> Signup and view all the answers

What are the ages of the three youngest persons among Ajay, Rani, Rohit, Arushi, and Sameer in decreasing order?

<p>11:10:9 (A)</p> Signup and view all the answers

What is the implication of the statement that the average age of a father and son is 50% more than the son's present age?

<p>The father's age is 1.5 times the son's age. (B)</p> Signup and view all the answers

If the sum of the ages of P and Q equals 25, what is the individual age of P given that the average is 12.5?

<p>14 years (B)</p> Signup and view all the answers

What will be the ratio of ages of Daksha and Kritika after 7 years if they were in the ratio of 7:4 eight years ago?

<p>10:7 (C)</p> Signup and view all the answers

How many years apart are Rani's and Arushi's ages, given the ratio of their ages is 13:9?

<p>6 years (C)</p> Signup and view all the answers

If the ratio of son's age to mother's age is 1:2 after 10 years, what must the son's current age be relative to the parents' total age?

<p>19 years (D)</p> Signup and view all the answers

What can be inferred about C's age given that it will be 75% of B's after 15 years?

<p>C is younger than B. (C)</p> Signup and view all the answers

What is Sameer’s age if he is 14 years older than Arushi?

<p>34 years (B)</p> Signup and view all the answers

How does the age prediction impact the relationship between A, B, and C?

<p>Their ages proportionate affect future ratios. (A)</p> Signup and view all the answers

If in four years the combined age of a father and son will be 68 years, what is the current age of the father if the son's current age is 50% less than the father's current age?

<p>38 years (A)</p> Signup and view all the answers

What was the ratio of Shagun's age to her grandfather's age 5 years ago if her grandfather was 5 times as old as Shagun 10 years ago?

<p>1:3 (C)</p> Signup and view all the answers

Given that the ratio of current ages of A and B is 8:9 and that it changes to 19:21 in 9 years, what is C's current age knowing that C is 3 years younger than B?

<p>4 years (B)</p> Signup and view all the answers

If the age ratio of P and Q after 12 years will be 12:13, and the current average age of P, Q, and R is 44 years, what is the ratio of ages of Q to R after 10 years?

<p>27:31 (A)</p> Signup and view all the answers

How much older will A be compared to B in 8 years if A's age was thrice B's age 4 years ago?

<p>24 years (D)</p> Signup and view all the answers

If Shagun's grandfather is 5 times her age 10 years ago and will be three times her age five years from now, which of the following could represent Shagun's current age?

<p>20 years (C)</p> Signup and view all the answers

What current age of B would result in the ratio of A and B being 8:9 today and becoming 19:21 in 9 years?

<p>48 years (C)</p> Signup and view all the answers

If the average age of P, Q, and R is 44 years and P's age is currently 40% less than R's age after 4 years, what could be the age of R?

<p>60 years (C)</p> Signup and view all the answers

After 12 years, P and Q's ages are in the ratio of 12:13. If P is currently 40 years old, what is Q's current age?

<p>50 years (C)</p> Signup and view all the answers

If 4 years ago A was thrice as old as B, and they are 8 years older in the future, what is the difference in their ages currently?

<p>16 years (C)</p> Signup and view all the answers

What is the current age of Poorvi's daughter?

<p>19 years (B)</p> Signup and view all the answers

How old was Rita five years ago?

<p>7 years (D)</p> Signup and view all the answers

What is the present age of the daughter if the sum of the ages of the woman and her daughter is 60 years?

<p>20 years (D)</p> Signup and view all the answers

What is the sum of the present ages of 'A' and 'B' given their age ratio is 5:4?

<p>72 (A)</p> Signup and view all the answers

What ratio of present ages of 'A' and 'C' can be determined considering future age conditions?

<p>5:3 (D)</p> Signup and view all the answers

In how many years will the ratio of Manish, Rita, and Kapil's ages be 15:11:13?

<p>10 years (D)</p> Signup and view all the answers

If Poorvi's daughter is currently 19 years old, what is the age of Poorvi now?

<p>37 years (A)</p> Signup and view all the answers

What will be the age of 'B' 23 years from now given the conditions?

<p>56 years (A)</p> Signup and view all the answers

After how many years will the ratio of age for the daughter and her mother be 2:1 when the mother reaches her husband's age?

<p>10 years (D)</p> Signup and view all the answers

What is the present age of 'A' if the ratio of the ages of 'A' to 'B' is 5:4?

<p>25 years (B)</p> Signup and view all the answers

If 'A' is 72% older than 'B' after 18 years, what is the sum of their present ages?

<p>32 years (C)</p> Signup and view all the answers

What is the future age of 'B' after 9 years if 'A' was 5 years older than 'B' 10 years ago?

<p>24 years (D)</p> Signup and view all the answers

What will be Megha's present age if she is 30 years older than Mihir currently, and their ages relate as given?

<p>33 years (A)</p> Signup and view all the answers

Given the average age of Mala, Kala, and Teena after 8 years is 43 years, what is Teena's present age?

<p>32 years (D)</p> Signup and view all the answers

After how many years will Ramesh's age equal 180% of his age 10 years ago?

<p>20 years (C)</p> Signup and view all the answers

What is the age of 'C' in 6 years if 'A' is currently 31 years old and the ratio of ages between 'A' and 'B' is 5:4?

<p>37 years (B)</p> Signup and view all the answers

If the age of 'A' has to be 5 times the age of 'B' in the ratio of their ages after 10 years, what can be their current ages?

<p>35 and 28 (C)</p> Signup and view all the answers

What is the difference in present age between 'M' and 'N' if 'M' is 2 years older than 'N' and their ages will be equal in 5 years?

<p>2 years (B)</p> Signup and view all the answers

What will 'B' age be 12 years from now if the current age of 'A' is 36 years and the difference between their ages remains the same?

<p>32 years (B)</p> Signup and view all the answers

Flashcards

Ratio of mother and son's age

The current age ratio of a mother and her son is 6:1.

Ratio of son's age to mother's age

When the son's age matches the mother's, the ratio of father's age to mother's age is 13:11.

Father and Son's age sum

The sum of father and son's ages is 115 when the son reaches the father's current age.

Ratio of A and B's age (past)

Eight years ago, the ratio of A's and B's ages was 9:10.

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Ratio of A and B's age (future)

In four years, the ratio of A's and B's ages will be 12:13.

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C's age relative to A

C is 6 years older than A.

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Poorvi's age (past)

Eight years ago, Poorvi's age was equal to her son and daughter's combined current ages.

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Future ratio of daughter and son ages

In five years, the ratio of daughter's and son's ages will be 7:6.

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Husband's age relative to son's age

Poorvi's husband's age is 3 times her son's current age.

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Husband's age relative to Poorvi's age

Poorvi's husband is 7 years older than her.

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Poorvi's son and daughter's ages

Eight years ago, Poorvi's age was equal to the sum of her son and daughter's present ages.

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Ratio of daughter and son's future ages

Five years from now, the ratio of daughter to son's age will be 7:6.

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Poorvi's husband's age

Poorvi's husband is 7 years older than Poorvi and his present age is 3 times her son's age.

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Rita's age relative to her friend Kapil

Rita is 3/4 of her friend Kapil's age.

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Manish's age relative to Rita

Manish's age is 5/3 times Rita's age.

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Future age ratio of Manish, Rita, and Kapil

After 10 years, the ratio of Manish, Rita, and Kapil's ages is 15:11:13.

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Sum of woman and daughter's ages

The sum of a woman and her daughter's current ages is 60 years.

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Woman's age relative to her husband

When the woman attains her husband's current age, the ratio of their ages to her daughter will be 2:1.

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Ratio of A and B's ages

A and B's current age ratio is 5:4.

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Future age difference of A and B

B's age 23 years from now will be 25% more than A's age 4 years from now.

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Age ratio of grandfather and granddaughter

The ratio of Shagun's grandfather's age to her age ten years ago was 5:1.

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Future age ratio

In five years, Shagun's grandfather will be three times her age.

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Present age ratio of A and B

The current ages of A and B are in the ratio 8:9.

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Future age ratio of A and B

After nine years, the ratio of A and B's ages will become 19:21.

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Relative age of C

C is three years younger than B.

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Ratio of P and Q's future ages

In twelve years, the ratio of P and Q's ages will be 12:13.

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Average age of P, Q, and R

The present average age of P, Q, and R is 44 years.

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Relative age of P and R

Currently, P's age is 40% less than R's age in four years.

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A's age relative to B (past)

Four years ago, A's age was three times B's age.

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A's age relative to B (future)

Eight years from now, A will be 24 years older than B.

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Present ages of A, B, and C

The current ages of individuals A, B, and C are 64 years

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Future age of C

In the future, C's age will be 75% of B's current age.

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Ratio of Son and Mother's age

In 10 years the ratio of son and mother's age will be 1:2.

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Sum of Parent's age

The sum of the parents' current ages is 85 years.

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Father's age 3 years ago

3 years ago, the father's age was 6 times the son's age.

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Father's age in future

2 years from now father's age will more than son's age by 35 years .

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Suman's age relative to Kusum

4 years ago Suman's age was 80% of Kusum's present age and 8 years later her age will be 110% of Kusum's present age.

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Daksha and Kritika's present ages

The sum of Daksha and Kritika's present ages is 126.

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A's age 4 years ago

Four years ago, A's age was three times B's age.

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A's age 8 years from now

In eight years, A will be 24 years older than B.

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Current age ratio

Find the ratio of A's current age to B's current age.

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A and B's age sum

The sum of A and B's current ages is 32 years.

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A's age 18 years from now

In 18 years, A's age will be 72% greater than B's age.

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A's age 5 years ago

Calculate A's age 5 years ago.

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B's age 9 years from now

Calculate B's age 9 years from now.

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Ratio of ages (5 years ago and 9 years from now)

Find the ratio of A's age 5 years ago to B's age 9 years from now.

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Megha's age 2 years ago

Two years ago, Megha's age was 13 years more than one-third of Mihir's age three years from now.

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Sum of Megha and Kiara's age after 4 years

In four years, the sum of Megha and Kiara's ages will be 92 years.

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Age Difference

The difference between the squares of P and Q's current ages is 25. This means the difference between their ages is 5 years.

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Average Age

The average of P and Q's current ages is 12.5 years. This means the sum of their ages is 25 years.

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Rani's Age

Rani is 2 years younger than Rohit. This means their age difference is constant.

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Arushi's Age

Rani and Arushi's ages are in the ratio 13:9. This means for every 13 years of Rani's age, Arushi is 9 years old.

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Sameer's Age

Sameer is 14 years older than Arushi. This means their age difference is fixed.

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Ajay's Age

Ajay is 22 years old. This is a fixed value.

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Average Age of All

The average age of Rani, Rohit, Arushi, Sameer, and Ajay is 25.2 years. This means the sum of their ages is 126 years.

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Study Notes

Ratios & Proportions

  • Ratios compare two quantities using division.
  • Proportions equate two ratios.
  • Ratios and proportions are used to solve problems involving relationships between quantities.
  • Example problems related to ages, work, and other scenarios have been discussed.

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