Quant Practice Questions on Concept of Ages

Here we have come up with Quant Practice Questions on Concept of Ages for prelims examination. In this article we will not only be covering practice questions, but will also be discussing the key concept and how one can solve these kinds of questions. Usually while solving such types of questions, the ages of two or more persons are compared with the ratio, fraction or percentage. The main challenge while dealing with such kinds of questions is to bifurcate the present, past and future data given.

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Ages:

Problems on ages are usually based on concepts of ratio and proportions, percentages or averages.

Basics:

Let the present age of person ‘A’ be ‘x’ years

Let the present age of person ‘B’ be ‘y’ years

Then, age of ‘A’, 3 years ago from now = (x – 3) years

Age of ‘B’, 3 years ago from now = (y – 3) years

If it is said that, 3 years ago from now, the ratio of ages of ‘A’ and ‘B’ was p:q, respectively,

We have, (x – 3):(y – 3) = p:q

So, qx – 3q = pq – 3p

Average of ages:

If it is said that the average of present ages of ‘A’ and ‘B’ is ‘p’ years

Then, sum of present age of ‘A’ and ‘B’ = p × 2 = ‘2p’ years

Let the present age of ‘A’ be ‘x’ years

Then, present age of ‘B’ = (2p – x) years.

Question 1: Rahul is 8 years older than Manish while Manish is 6 years older than Sonu. If ratio of age of Sonu to age of Rahul is 5:12, respectively, then what will be the age of Manish after 12 years?

A) 26 years

B) 24 years

C) 28 years

D) 27 years

E) 30 years

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Question 2: Present ages of A and B are in the ratio of 4:7 respectively. Ages of B and C after six years are in the ratio 2:3 respectively. Find the difference between the present ages of A and C if the present average age of A, B and C is 44 years.

A) 42 years

B) 45 years

C) 48 years

D) 50 years

E) None of these

Question 3: The average of age of three friends Rohit, Sohit and Mohit is 35 years. The ratio of age of Rohit to Sohit is 6:7, respectively, and age of Mohit is 5 years more than age of Sohit. Find the age of Sohit (in years).

A) 20

B) 25

C) 30

D) 35

E) 40

Question 4: Present average age of Tarun, Miraj and Ashwani is 30 years. Present ages of Tarun and Miraj are in the ratio 4:5 respectively. Find the present age of Ashwani if it is 20% more than the present age of Miraj.

A) 18 years

B) 24 years

C) 30 years

D) 36 years

E) None of these

Question 5: Present ages of Shivani and Shilpa are in the ratio 7:5, respectively. Present age of Shipra is 20% more than the age of Shilpa five years ago. Find the present age of Shivani, if the present average age of Shivani, Shilpa and Shipra is 2 years more than the present age of Shilpa.

A) 21 years

B) 28 years

C) 35 years

D) 42 years

E) None of these

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Question 6: Present ages of Shweta, Pooja and Neha are in the ratio of 4:3:7 respectively. Present age of Reva is 40% more than the age of Pooja four years ago. Find the present age of Reva if the present average age of Shweta, Pooja, Neha and Reva is 35 years.

A) 24 years

B) 26 years

C) 28 years

D) 30 years

E) None of these

Question 7: The ratio of age of Sudit 3 years ago to the age of Mudit 4 years hence is 5:3, respectively. Age of Sudit and age of Mudit is 8 years more and 9 years less than the age of Himanshu. Find the age of Mudit (in years).

A) 11 years

B) 16 years

C) 20 years

D) 24 years

E) 28 years

Question 8: Present age of Manish and Ashwani are in the ratio of 5:7, respectively. After 10 years, the age of Ashwani will be 32% more than the age of Manish. Find the present average age of Manish and Ashwani.

A) 48 years

B) 54 years

C) 60 years

D) 66 years

E) None of these

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Question 9: Present ages of Rajan and Vishal are in the ratio 3:4, respectively and that of Vishal and Abhishek are in the ratio 8:11, respectively. After 3 years, the ratio of the ages of Rajan and Abhishek are in the ratio 7:12, respectively. Find the present age of Vishal.

A) 16 years

B) 20 years

C) 24 years

D) 28 years

E) None of these

Question 10: The ratio of the present ages of Veer and Dinesh is 3:1, respectively. After 16 years, the ratio of the age of Veer to that of Dinesh will become 5:3, respectively. If Kartik is 19 years older than Dinesh, then find the present age of Kartik.

A) 24 years

B) 27 years

C) 26 years

D) 25 years

E) None of these

प्रश्न 1: Rahul, Manish से 8 वर्ष बड़ा है, जबकि Manish, Sonu से 6 वर्ष बड़ा है, यदि Sonu और Rahul की आयु का अनुपात क्रमशः 5:12 है, तो 12 वर्ष बाद, Manish की आयु क्या होगी ?

A) 26 years

B) 24 years

C) 28 years

D) 27 years

E) 30 years

प्रश्न 2: A और B की वर्तमान आयु का अनुपात क्रमशः 4:7 है | छह वर्ष बाद, B और C की आयु का अनुपात क्रमशः 2:3 हो जाएगा | A और C की वर्तमान आयु के बीच का अंतर ज्ञात करें यदि A, B और C की वर्तमान औसत आयु 44 वर्ष है |

A) 42 years

B) 45 years

C) 48 years

D) 50 years

E) इनमें से कोई नहीं 

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प्रश्न 3: Rohit, Sohit और Mohit तीन दोस्तो की आयु का औसत 35 वर्ष है। Rohit और Sohit की आयु का अनुपात क्रमशः 6: 7 है, और Mohit की आयु, Sohit की आयु से 5 वर्ष अधिक है। Sohit की आयु (वर्षों में) ज्ञात करें ?

A) 20

B) 25

C) 30

D) 35

E) 40

प्रश्न 4: Tarun, Miraj और Ashwani की वर्तमान आयु का औसत 30 वर्ष है|Tarun और Miraj की वर्तमान आयु का अनुपात क्रमशः 4:5 है|Ashwani की वर्तमान आयु ज्ञात करें यदि यह Miraj की वर्तमान आयु से 20% अधिक है|

A) 18 years

B) 24 years

C) 30 years

D) 36 years

E) इनमें से कोई नहीं

प्रश्न 5: Shivani और Shilpa की वर्तमान आयु क्रमशः 7: 5 के अनुपात में है। Shipra की वर्तमान आयु पांच वर्ष पहले Shilpa की आयु से 20% अधिक है। Shivani की वर्तमान आयु ज्ञात करें, यदि Shivani, Shilpa और Shipra की वर्तमान औसत आयु Shilpa की वर्तमान आयु से 2 वर्ष अधिक है।

A) 21 years

B) 28 years

C) 35 years

D) 42 years

E) इनमें से कोई नहीं

प्रश्न 6: Shweta, Pooja और Neha की वर्तमान आयु का अनुपात क्रमशः 4:3:7 है|Reva की वर्तमान आयु चार वर्ष पहले Pooja की आयु से 40% अधिक है|Reva की वर्तमान आयु ज्ञात करें यदि Shweta, Pooja, Neha और Reva की वर्तमान औसत आयु 35 वर्ष है|

A) 24 years

B) 26 years

C) 28 years

D) 30 years

E) इनमें से कोई नहीं

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प्रश्न 7: 3 वर्ष पहले Sudit की आयु और 4 वर्ष बाद Mudit की आयु का अनुपात क्रमशः 5:3 है|Sudit की आयु और Mudit की आयु Himanshu की आयु से 8 वर्ष अधिक और 9 वर्ष कम है|Mudit की आयु ज्ञात करें (वर्षों में)|

A) 11 years

B) 16 years

C) 20 years

D) 24 years

E) 28 years

प्रश्न 8: Manish और Ashwani की वर्तमान आयु का अनुपात क्रमशः 5:7 है|10 वर्ष बाद, Ashwani की आयु Manish की आयु से 32% अधिक होगी|Manish और Ashwani की वर्तमान आयु का अनुपात ज्ञात करें|

A) 48 years

B) 54 years

C) 60 years

D) 66 years

E) इनमें से कोई नहीं

प्रश्न 9: Rajan और Vishal की वर्तमान आयु क्रमशः 3: 4 के अनुपात में है, और Vishal और Abhishek का अनुपात क्रमशः 8:11 हैं। 3 वर्ष बाद, Rajan और Abhishek की आयु का अनुपात क्रमशः 7:12 में है। Vishal की वर्तमान आयु ज्ञात करें?

A) 16 years

B) 20 years

C) 24 years

D) 28 years

E) इनमें से कोई नहीं 

प्रश्न 10: Veer और Dinesh की वर्तमान आयु का अनुपात क्रमशः 3: 1 है। 16 वर्षों के बाद, Veer और Dinesh की आयु का अनुपात क्रमशः 5: 3 हो जाएगा। यदि Kartik, Dinesh से 19 वर्ष बड़ा है, तो Kartik की वर्तमान आयु ज्ञात करें ?

A) 24 years

B) 27 years

C) 26 years

D) 25 years

E) इनमें से कोई नहीं

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ANSWER KEYS and SOLUTIONS:

Solution 1: C)

Let, age of Sonu = ‘x’ years

Age of Manish = ‘x + 6’ years

Age of Rahul = ‘x + 14’ years

So, x/(x + 14) = 5/12

12x = 5x + 70

7x = 70, x = 10

Age of Manish after 12 years = x + 6 + 12 = 28 years

Hence, option c.

Solution 2: A)

Let the present ages of A and B are 4x years and 7x years respectively.

Age of B after six years = 7x + 6 years

Age of C after six years = (7x + 6) × 3/2 = ‘10.5x + 9’ years

Present age of C = 10.5x + 9 – 6 = ‘10.5x + 3’ years

According to question: 4x + 7x + 10.5x + 3 = 3 × 44

21.5x + 3 = 132

21.5x = 129, x = 6

So the present age of A = 4 × 6 = 24 years

Present age of C = 10.5 × 6 + 3 = 63 + 3 = 66 years

So the desired difference = 66 – 24 = 42 years

Hence, option a.

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Solution 3: D)

Let, age of Rohit and Sohit be 6x years and 7x years, respectively.

So, age of Mohit = 7x + 5 years

According to question,

6x + 7x + (7x + 5) = 35 × 3

20x = 105 – 5

20x = 100, x = 5

Therefore, age of Sohit = 5 × 7 = 35 years

Hence, option d.

Solution 4: D)

Let the present ages of Tarun and Miraj are 4x years and 5x years respectively

Present age of Ashwani = 1.20 × 5x = 6x years

Sum of the present ages of Tarun, Miraj and Ashwani = 4x + 5x + 6x = 30 × 3

15x = 90, x = 6

So the present age of Ashwani = 6 × 6 = 36 years

Hence, option d.

Solution 5: B)

Let the present ages of Shivani and Shilpa be 7x years and 5x years, respectively.

Present age of Shipra = (5x – 5) × 1.20 = 6x – 6 years

So according to question: 7x + 5x + 6x – 6 = 3 × (5x + 2)

18x – 6 = 15x + 6

3x = 12, x = 4

So the present age of Shivani = 7 × 4 = 28 years

Hence, option b.

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Solution 6: C)

Let the present ages of Shweta, Pooja and Neha are 4x years, 3x years and 7x years respectively

Present age of Reva = 1.40 × (3x – 4) = ‘4.2x – 5.6’ years

According to question: 4x + 3x + 7x + 4.2x – 5.6 = 35 × 4

18.2x = 140 + 5.6

18.2x = 145.6

x = 8

So the present age of Reva = 4.2 × 8 – 5.6 = 28 years

Hence, option c.

Solution 7: A)

Let, age of Himanshu be x years,

So, age of Sudit = (x + 8) years

So, age of Mudit = (x – 9) years

According to question,

(Sudit – 3): (Mudit + 4) = 5: 3

(x + 8 – 3): (x – 9 + 4) = 5: 3

(x + 5): (x – 5) = 5: 3

3x + 15 = 5x – 25

2x = 40

x = 20 years

Therefore, age of Mudit = 20 – 9 = 11 years

Hence, option a.

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Solution 8: A)

Let the present ages of Manish and Ashwani are 5x years and 7x years respectively.

So according to question: 1.32 × (5x + 10) = 7x + 10

6.6x + 13.2 = 7x + 10

0.4x = 3.2, x = 8

So the present ages of Manish and Ashwani are 40 years and 56 years respectively.

Present average age of Manish and Ashwani = (40 + 56)/2 = 48 years

Hence, option a.

Solution 9: C)

Ratio of the present ages of Rajan, Vishal and Abhishek = 3 × 2: 8: 11 = 6: 8: 11

Let the present ages of Rajan, Vishal and Abhishek are 6x, 8x and 11x years respectively

So according to question: (6x + 3)/ (11x + 3) = 7/12

72x + 36 = 77x + 21

5x = 15, x = 3

So the present age of Vishal = 8 × 3 = 24 years

Hence, option c.

Solution 10: B)

Let, the present age of Veer be ‘3b’ years

Then, the present age of Dinesh = ‘b’ years

So, (3b + 16)/(b + 16) = 5/3

9b + 48 = 5b + 80

4b = 32

b = 8

Therefore, the present age of Kartik = 19 + 8 = 27 years.

Hence, option b.

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