170HE- आयु पर आधारित प्रश्न AGE RELATED QUESTIONS

आयु पर आधारित प्रश्न- Short Tricks

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1. 3 वर्ष पूर्व पिता की उम्र पुत्र की उम्र की 7 गुना थी इस समय पिता की पुत्र की उम्र की 5 गुना है पिता एवं पुत्र की वर्तमान आयु क्या है ? 

सूत्रः

		t×(x-1)
पुत्र की आयु	=	――――		=	वर्ष
		x-y

x = पहले में कितनी गुनी

y= वर्तमान में कितनी

हलः

		3×(7-1)
पुत्र की वर्तमान आयु	=	――――		=	9 वर्ष
		7-5

व्याख्याः

माना कि इस समय पुत्र कि अयु x वर्ष है

अतः 3 वर्ष पूर्व पुत्र की अयु x-3 वर्ष व पिता की आयु x-3×7 वर्ष थी

पिता की वर्तमान आयु x×5 अतः 3 वर्ष पूर्व पिता की आयु x×5-3 वर्ष थी

x-3×7 = x×5-3, 7x-21=5x-3, 2x=18, x=9

पुत्र की वर्तमान आयु  = 9 वर्ष

पिता की वर्तमान आयु = 9× 5 = 45 वर्ष

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2. इस समय पिता की उम्र पुत्र की उम्र की 5 गुनी है, तीन वर्षो बाद पिता की उम्र पुत्र की उम्र की चार गुना होगी पिता एवं पुत्र की वर्तमान आयु क्या है

हलः

		3×(4-1)
पुत्र की वर्तमान आयु	=	――――		=	9 वर्ष
		5-4

व्याख्याः

माना कि इस समय पुत्र कि अयु x वर्ष है

अतः 3 वर्ष बाद पुत्र की अयु x+3 वर्ष व पिता की आयु x+3×4 वर्ष होगी

पिता की वर्तमान आयु x×5 अतः 3 वर्ष  बाद पिता की आयु 5x+3 वर्ष होगी

(x+3)×4 = 5x+3, 4x+12=5x+3, x=9

पुत्र की वर्तमान आयु  = 9 वर्ष

पिता की वर्तमान आयु = 9× 5 = 45 वर्ष

3. तीन वर्ष पूर्व पिता की आयु पुत्र की आयु की 7 गुनी थी, तीन वर्षो बाद पिता की आयु पुत्र की आयु 4 गुना होगी इस समय पिता एवं पुत्र की उम्र क्या होगी ?

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हलः

		3×(7-1)
पुत्र की वर्तमान आयु	=	――――		=	9 वर्ष
		7-5

व्याख्याः

माना कि तीन वर्ष पूर्व पुत्र कि अयु x वर्ष थी

अतः 3 वर्ष पूर्व पिता की आयु 7x वर्ष थी

तीन वर्षो बाद पिता की आयु पुत्र की आयु 4 गुना होगी  = x+6×4, 4x+24

7x = 4x+24-6,

3x = 18, x=6

पुत्र की वर्तमान आयु  = 6+3=9 वर्ष

पिता की वर्तमान आयु = 6×7+3 = 45 वर्ष
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Problems Based on Ages Shortcut Tricks

Problem based on Ages is a very important topic which is given most of the competitive exams. You can easily solve all kind of Aptitude questions based on Problems on Ages by practicing regularly. Before going to solve the problem on ages you need to know the linear equation which help in math but first you are do traditional process than you learn ages shortcut tricks.
Anything we learn in our school days was basics and that is well enough for passing our school exams. Now the time has come to learn for our competitive exams. For this we need our basics but also we have to learn something new. That’s where shortcut tricks are comes into action.
This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below given some more example for your better practice. In competitive examination there are three situation based questions are given which is give below.

Present Age

Years ago Age

Hence years Age

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Important Formulas on "Problems on Ages" :

1. If the current age is x, then n times the age is nx.

2. If the current age is x, then age n years later/hence = x + n.

3. If the current age is x, then age n years ago = x - n.

4. The ages in a ratio a : b will be ax and bx.

5. If the current age is x, then 1/n of the age is x/n

Few examples of Problems Based on Ages with Shortcut Tricks 

Example 1: The ratio of present age of Asha & Bikash is 2 : 4 the present age of Asha is 30 years. What would be the age of Bikash after 6 years ?
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Answer :
Step 1: Asha : Bikash present age ratio is 2 : 4 and Asha present age = 30 years.
Step 2: Bikash present age is 30 x 4 / 2 = 60 years.
Step 3 : Bikash age after 6 years is 60 + 6 = 66 years.

Example 2 : The ratio of ages of Amir & Salman is at present 3 : 4, 5 years before that ratio was 2 : 3. What is the present age of Amir & Salman.
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Answer :
Step 1 : Amir : Salman present ratio is 3 : 4, 5 years before ratio 2 : 3.
Step 2 : 5 x 3 = 15 years, 5 x 4 = 20 years.
the present age of Amir & Salman is 15 years and 20 years.
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Example 3: If the total ages of Amar and Bikash is 18 years more than the total age of Bikash and chayan. Chayan is how many years younger than Amar ?

Answer: ( Amar + Bikash ) – (Bikas + Chayan) = 18
Amar – Chayan = 18.

Some more Examples:
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1.  Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

A. 2 times
B. 2 and ½ times
C.  2 and ¾ times
D. 3 times
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Answer: Option A
Explanation: 
Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.
Therefore  (4x + 8) = ⁵/₂(x + 8)
8x + 16 = 5x + 40
 3x = 24
 x = 8.

Hence, required ratio =	(4x + 16)	=	48	=2
	(x + 16)		24

2.  The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

A. 4 years
B. 8 years
C. 10 years
D. None of these
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Answer: Option A
Explanation:
Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
 5x = 20
 x = 4.
 Age of the youngest child = x = 4 years.
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3.  A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

A. 14 years
B. 19 years
C. 33 years
D. 38 years
Answer: Option A
Explanation:
Let the son's present age be x years. Then, (38 - x) = x
 2x = 38.
 x = 19.
 Son's age 5 years back (19 - 5) = 14 years.
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4.  A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?

A. 7
B. 8
C. 9
D. 10
E. 11

Answer: Option D
Explanation:
Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
 (2x + 2) + 2x + x = 27
 5x = 25
 x = 5.
Hence, B's age = 2x = 10 years.
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5. Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

A. 24
B. 27
C. 40
D. Cannot be determined
E. None of these

Answer: Option A
Explanation:
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then, 5x + 3 = 11
4x + 3 9
 9(5x + 3) = 11(4x + 3)
 45x + 27 = 44x + 33
 45x - 44x = 33 - 27
 x = 6.
 Anand's present age = 4x = 24 years.

6. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:

A. 14 years

B. 18 years

C. 20 years

D. 22 years

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Answer: Option D 

Explanation: 

Let the son's present age be x years. Then, man's present age = (x + 24) years.

 (x + 24) + 2 = 2(x + 2)

 x + 26 = 2x + 4

 x = 22.

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7.   Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?

A. 16 years

B. 18 years

C. 20 years

D. Cannot be determined

E. None of these

Answer: Option A

Explanation:

Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.

Then, (6x + 6) + 4 = 11

(5x + 6) + 4 10

 10(6x + 10) = 11(5x + 10)

 5x = 10

 x = 2.

Sagar's present age = (5x + 6) = 16 years.

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8.  The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

A. 12 years

B. 14 years

C. 18 years

D. 20 years

Answer: Option D

Explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

 54 - x = 5x - 30

 6x = 84

 x = 14.

Son's age after 6 years = (x+ 6) = 20 years..

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9.  At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

A. 12 years

B. 15 years

C. 19 and half

D. 21 years

Answer: Option B

Explanation:

Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,

4x + 6 = 26        4x = 20

x = 5.

 Deepak's age = 3x = 15 years.

10.   Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of  7 : 9, how old is Sachin?

A. 16 years

B. 18 years

C. 28 years

D. 24.5 years

E. None of these

Answer: Option D

Explanation:

Let Rahul's age be x years.

Then, Sachin's age = (x - 7) years.

Therefore	x-7	=	7
	x		9

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9x - 63 = 7x

 2x = 63

 x = 31.5

Hence, Sachin's age =(x - 7) = 24.5 years

11.  The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A. 8, 20, 28

B. 16, 28, 36

C. 20, 35, 45

D. None of these

Answer: Option B

Explanation:

Let their present ages be 4x, 7x and 9x years respectively.

Then, (4x - 8) + (7x - 8) + (9x - 8) = 56

 20x = 80

 x = 4.

 Their present ages are 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.

12.  Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A. 2 years

B. 4 years

C. 6 years

D. 8 years

Answer: Option C

Explanation:

Mother's age when Ayesha's brother was born = 36 years.

Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.

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13.  A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

A. 32 years

B. 36 years

C. 40 years

D. 48 years

Answer: Option C

Explanation:

Let the mother's present age be x years.

Then, the person's present age =	2	x	years
	5

Therefore	2	x + 8  =	1	(x+8)
	5		2

 2(2x + 40) = 5(x + 8)

 x = 40.

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14.  Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

A. 1 year

B. 2 years

C. 25 years

D. Data inadequate

E. None of these

Answer: Option D

Explanation:

Given that:

1. The difference of age b/w R and Q = The difference of age b/w Q and T.

2. Sum of age of R and T is 50 i.e. (R + T) = 50.

Question: R - Q = ?.

Explanation:

R - Q = Q - T

(R + T) = 2Q

Now given that, (R + T) = 50

So, 50 = 2Q and therefore Q = 25.

Question is (R - Q) = ?

Here we know the value(age) of Q (25), but we don't know the age of R.

Therefore, (R-Q) cannot be determined.

15.  The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

A. 5 : 2

B. 7 : 3

C. 9 : 2

D. 13 : 4

Answer: Option B

Explanation:

Let the ages of father and son 10 years ago be 3x and x years respectively.

Then, (3x + 10) + 10 = 2[(x + 10) + 10]

 3x + 20 = 2x + 40

 x = 20.

 Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.

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अब आप निम्न प्रश्नों को हल करें, उत्तर 1a,2b,3c,4d,5e,6b प्रारूप में Comments Section में पोस्ट करें. आपको प्रत्येक प्रश्न का विस्तृत उत्तर भेजा जायेगा. पूरे प्रश्नपत्र को व ऐसे ही अन्य प्रश्नपत्रों को प्राप्त करने / डाउनलोड के लिये कमेंट बाक्स में अपना ईमेल ऐड्रेस, वाट्सऐप नंबर लिखें या https://www.facebook.com/groups/NextGenCareers/से डाउनलोड कर सकते है

Question 1:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

QUESTIONS ON AGES

If 6 years are subtracted from the present age of Raghav and the remainder is divided by 18, then the present age of Rajeev is obtained. If Rajeev is 2 years younger to Denis whose age is 5 years, then what is Raghav present age?
1. 60 years
2. 62 years
3. 50 years
4. 55 years  

Question 2:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

Six years ago, the ratio of the ages of Rashid and Rizvan was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Rizvan’s age at present?
1. 16 years
2. 18 years
3. 20 years
4. Cannot be determined  

Question 3:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

The age of grandfather 10 years ago was thrice the age of his elder son. Ten years hence, grandfather’s age will be twice that of his elder son. What is the ratio of their present ages?
1. 3 : 7
2. 7 : 3
3. 9 : 4
4. 4 : 9  

Question 4:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

Shradha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her
1. 5 years
2. 3 years
3. 6 years
4. 4 years  

Question 5:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

The sum of the present ages of a father and his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, son’s age will be:
1. 12 years
2. 14years
3. 18 years
4. 20 years  

Question 6:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

Current ages of Sharthak and Rishi are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11: 9 respectively. What is Rishi present age in years?
1. 40
2. 27
3. 24
4. Cannot be determined  

Question 7:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. What is father’s present age?
1. 30
2. 33
3. 31
4. 32  

Question 8:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?
1. 40
2. 60
3. 30
4. 50  

Question 9:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
1. 4 years
2. 8 years
3. 10 years
4. None of these  

Question 10:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

The ratio of the age of a man and his wife is 4:3. At the time of marriage the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married?
1. 10 years
2. 8 years
3. 11 years
4. 12 years  

Question 11:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
1. 8 years
2. 10 years
3. 7 years
4. 9 years  

Question 12:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A’s age?
1. 2 Years
2. 3 years
3. Data Inadequate
4. 5 years  

Question 13:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

The product of the ages of Raghu and Rameshwer is 240. If twice the age of Rameshwer is more than Raghu age by 4 years, what is Rameshwer age?
1. 10 years
2. 12 years
3. 15 years
4. 20 years  

Question 14:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

Kamal was 4 times as old as his son 8 years ago. After 8 years, Kamal will be twice as old as his son. Find out the present age of Kamal.
1. 38 Years
2. 38 Years
3. 40 Years
4. 42 Years  

Question 15:  NEXTGEN CAREER COACHING#9462900411--NGC-170-QA  

At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun’s age will be 26 years. What is the age of Deepak at present ?
1. 12 years
2. 15 years
3. 19 and half
4. 21 years