Problems on Ages: Mastering Competitive Exam Concepts

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Problems on Ages

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Problems on Ages MCQ & Objective Questions

Understanding "Problems on Ages" is crucial for students preparing for various school and competitive exams. This topic not only enhances your problem-solving skills but also boosts your confidence in tackling age-related questions. Practicing MCQs and objective questions on this topic can significantly improve your exam performance and help you score better. With a focus on important questions and practice questions, you can master this essential area of mathematics.

What You Will Practise Here

Basic concepts of age problems and their formulations
Solving age-related equations using algebraic methods
Understanding the relationship between ages of individuals
Application of ratios and proportions in age problems
Common age problem scenarios and their solutions
Practice with real-life examples and word problems
Tips and tricks for quick calculations and problem-solving

Exam Relevance

"Problems on Ages" is a recurring topic in CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that require them to determine the ages of individuals based on given conditions. Common question patterns include direct age calculations, age comparisons, and problems involving multiple individuals. Mastering this topic will not only prepare you for school exams but also give you an edge in competitive assessments.

Common Mistakes Students Make

Misinterpreting the relationships between ages in word problems
Neglecting to set up equations correctly based on the problem statement
Overlooking the importance of units and time frames in age calculations
Failing to check the feasibility of the calculated ages
Rushing through calculations, leading to simple arithmetic errors

FAQs

Question: What are some effective strategies for solving age problems?
Answer: Break down the problem into smaller parts, set up equations based on the relationships given, and solve step by step.

Question: How can I improve my speed in solving age-related MCQs?
Answer: Practice regularly with timed quizzes and focus on understanding the concepts rather than memorizing solutions.

Start your journey towards mastering "Problems on Ages" today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Your success is just a question away!

Q. If the present age of C is 4 times that of D, and the sum of their ages is 50 years, what is the age of C?

A. 20
B. 25
C. 30
D. 35

Solution

Let D's age be x. Then C's age is 4x. So, x + 4x = 50. Solving gives x = 10, hence C = 40.

Correct Answer: D — 35

Q. If the present age of C is 4 years more than D, and D is 12 years old, what is the present age of C?

A. 14
B. 16
C. 12
D. 10

Solution

If D is 12 years old, then C is 12 + 4 = 16 years old.

Correct Answer: A — 14

Q. If the present age of C is 4 years more than D, and D is 6 years old, what is C's age?

A. 8
B. 10
C. 6
D. 12

Solution

C's age = D's age + 4 = 6 + 4 = 10 years.

Correct Answer: A — 8

Q. If the present age of E is 5 years more than F and the sum of their ages is 55, what is E's age?

A. 25
B. 30
C. 35
D. 40

Solution

Let F's age be x. Then E's age is x + 5. So, x + (x + 5) = 55, which gives 2x + 5 = 55, hence 2x = 50, x = 25. Therefore, E's age is 25 + 5 = 30.

Correct Answer: C — 35

Q. If the sum of the ages of A and B is 60 years and A is 10 years older than B, how old is A?

A. 25
B. 30
C. 35
D. 40

Solution

Let B's age be x. Then A's age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25, hence A = 35.

Correct Answer: C — 35

Q. If the sum of the ages of A and B is 60 years and A is 10 years older than B, what are their ages?

A. 25, 35
B. 30, 30
C. 20, 40
D. 35, 25

Solution

Let B's age be x. Then A's age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25. Therefore, A is 35 and B is 25.

Correct Answer: A — 25, 35

Q. If the sum of the ages of a husband and wife is 70 years and the husband is 10 years older than the wife, how old is the wife?

A. 30
B. 25
C. 35
D. 40

Solution

Let the wife's age be x. Then, husband's age is x + 10. So, x + (x + 10) = 70, which gives x = 30. Therefore, the wife is 30 years old.

Correct Answer: B — 25

Q. If the sum of the ages of two siblings is 30 years and one is 10 years older than the other, what is the age of the older sibling?

A. 15
B. 20
C. 25
D. 30

Solution

Let the younger sibling be x years old. Then the older sibling is x + 10. So, x + (x + 10) = 30, which gives x = 10. Therefore, the older sibling is 20 years old.

Correct Answer: B — 20

Q. In 10 years, a father will be twice as old as his son. If the son is currently 10 years old, how old is the father now?

A. 20
B. 30
C. 40
D. 50

Solution

Let the father's current age be x. In 10 years, x + 10 = 2(10 + 10). Solving gives x = 30.

Correct Answer: B — 30

Q. In 5 years, a man will be 3 times as old as his son. If the son is currently 5 years old, how old is the man now?

A. 15
B. 20
C. 25
D. 30

Solution

Let the man's current age be x. In 5 years, x + 5 = 3 * (5 + 5). Solving gives x = 25.

Correct Answer: C — 25

Q. In 5 years, A will be 3 times as old as B. If B is currently 10 years old, how old will A be in 5 years?

A. 15
B. 20
C. 25
D. 30

Solution

In 5 years, B will be 10 + 5 = 15. A will be 3 * 15 = 45. So, A's current age is 45 - 5 = 40.

Correct Answer: C — 25

Q. In 5 years, A will be 3 times as old as B. If B is currently 10 years old, how old is A now?

A. 15
B. 20
C. 25
D. 30

Solution

In 5 years, B will be 15. Therefore, A will be 3 * 15 = 45. So, A is currently 45 - 5 = 40 years old.

Correct Answer: B — 20

Q. K is 10 years older than L. If L is 20 years old, what is the age difference between K and L?

A. 5
B. 10
C. 15
D. 20

Solution

K is 20 + 10 = 30 years old. The age difference is 30 - 20 = 10 years.

Correct Answer: B — 10

Q. K is 3 times as old as L. If the sum of their ages is 48, what is K's age?

A. 36
B. 24
C. 30
D. 18

Solution

Let L's age be x. Then K's age is 3x. So, x + 3x = 48. Solving gives x = 12, K's age = 3 * 12 = 36.

Correct Answer: A — 36

Q. K is 4 years younger than L. If L is 28 years old, how old is K?

A. 22
B. 24
C. 26
D. 30

Solution

If L is 28 years old, then K is 28 - 4 = 24 years old.

Correct Answer: A — 22

Q. K is half the age of L. If L is 40 years old, how old is K?

A. 20
B. 30
C. 25
D. 35

Solution

If L is 40 years old, then K is 40 / 2 = 20 years old.

Correct Answer: A — 20

Q. K is half the age of L. If L is 60 years old, how old is K?

A. 20
B. 30
C. 40
D. 50

Solution

K's age = L's age / 2 = 60 / 2 = 30 years.

Correct Answer: C — 40

Q. M is 4 years younger than N. If N is 24 years old, what is M's age?

A. 18
B. 20
C. 22
D. 26

Solution

M's age = N's age - 4 = 24 - 4 = 20 years.

Correct Answer: A — 18

Q. M is 4 years younger than N. If N is 30 years old, how old is M?

A. 26
B. 28
C. 24
D. 22

Solution

M's age = N's age - 4 = 30 - 4 = 26 years.

Correct Answer: A — 26

Q. M is 5 years younger than N. If the sum of their ages is 70 years, what is N's age?

A. 32
B. 35
C. 38
D. 40

Solution

Let N's age be x. Then M's age is x - 5. So, x + (x - 5) = 70. Solving gives x = 35.

Correct Answer: B — 35

Q. M is half the age of N. If N is 50 years old, how old is M?

A. 20
B. 25
C. 30
D. 35

Solution

If N is 50 years old, then M is 50 / 2 = 25 years old.

Correct Answer: D — 35

Q. O is 10 years older than P. If the sum of their ages is 70 years, what is P's age?

A. 25
B. 30
C. 35
D. 40

Solution

Let P's age be x. Then O's age is x + 10. So, x + (x + 10) = 70. Solving gives x = 30.

Correct Answer: B — 30

Q. O is 3 times as old as P. If the sum of their ages is 48 years, what is P's age?

A. 8
B. 12
C. 16
D. 20

Solution

Let P's age be x. Then O's age is 3x. So, x + 3x = 48. Solving gives x = 12.

Correct Answer: B — 12

Q. Q is 3 times the age of R. If the sum of their ages is 48 years, how old is R?

A. 8
B. 12
C. 16
D. 20

Solution

Let R's age be x. Then Q's age is 3x. So, x + 3x = 48. Solving gives x = 12.

Correct Answer: B — 12

Q. Ten years ago, a man was twice as old as his son. If the man is currently 40 years old, how old is his son now?

A. 15
B. 20
C. 10
D. 25

Solution

Ten years ago, the man was 30 years old. If he was twice as old as his son then, the son was 30 / 2 = 15 years old. Now, the son is 15 + 10 = 25 years old.

Correct Answer: B — 20

Q. Ten years ago, a woman was 3 times as old as her son. If the son is now 10 years old, how old is the woman now?

A. 30
B. 40
C. 50
D. 60

Solution

Ten years ago, the son was 0 years old. Therefore, the woman was 3 * 0 = 0 years old. Now, she is 10 + 10 = 20 years old.

Correct Answer: B — 40

Q. Ten years ago, the age of a man was 3 times the age of his son. If the son is now 10 years old, how old is the man now?

A. 30
B. 40
C. 50
D. 60

Solution

Ten years ago, the son was 10 - 10 = 0 years old. The man was 3 * 0 = 0 years old then, so now he is 10 + 30 = 40 years old.

Correct Answer: B — 40

Q. Ten years ago, the age of A was three times the age of B. If B is now 15 years old, how old is A now?

A. 25
B. 30
C. 35
D. 40

Solution

Ten years ago, B was 15 - 10 = 5 years old. A was 3 * 5 = 15 years old then, so A is now 15 + 10 = 25.

Correct Answer: B — 30

Q. Ten years ago, the age of A was twice the age of B. If A is now 30 years old, how old is B now?

A. 10
B. 15
C. 20
D. 25

Solution

Ten years ago, A was 30 - 10 = 20 years old. Therefore, B was 20 / 2 = 10 years old then. Now, B is 10 + 10 = 20 years old.

Correct Answer: D — 25

Q. Ten years ago, the age of G was half of H's age. If H is now 30 years old, how old is G now?

A. 15
B. 20
C. 25
D. 30

Solution

Ten years ago, H was 20 years old. Therefore, G was 10 years old. Now, G is 10 + 10 = 20 years old.

Correct Answer: C — 25

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