Problem And Ages For IBPS RRB, Check All Details

Problem and Ages For IBPS RRB- The Institute of Banking Personnel Selection (IBPS) conducts the IBPS RRB exam every year with a lot of questions. One of the most important topics in the Quantitative Aptitude section of the IBPS RRB exam is “Problems Related to Age”. Quantitative aptitude Questions on the Concept of Ages for preliminary examinations are provided here. This article covers practice questions and also discusses the key concepts and how to solve these types 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.

Practical Question For Problem and Ages

Question 1: Present ages of Mohit and Sohit are in the ratio 3:4, respectively. Present age of Rohit is 50% more than the present age of Sohit. Ratio of the age of Mohit after one year to the age of Rohit three years ago was 5:9. Find the present age of Sohit.

A) 16 years

B) 24 years

C) 32 years

D) 40 years

E) 48 years

Question 2: Four years ago, ratio of ages of Ram and Shyam was 13:15, and 4 years hence, ratio of their ages is 15:17. Find the average present age of Ram and Shyam.

A) 54 years

B) 58 years

C) 56 years

D) 62 years

E) 60 years

Question 3: Five years ago, age of father was double the age of his son, and 15 years hence, the ratio of their ages becomes 8:5. Find the average of their present age.

A) 60 years

B) 40 years

C) 65 years

D) 50 years

E) 45 years

Question 4: Six years ago, Avantika was 12 years younger than Anamika.12 years hence, the ratio of their ages becomes 3:4. Find their average present age of both of them.

A) 30 years

B) 32 years

C) 36 years

D) 28 years

E) None of these

Question 5: Ratio of present age of Garima and Yogesh is 5:6, respectively and the average of their ages after 6 years will become 28 years. What was the ratio of their ages 8 years ago?

A) 4:5

B) 2:3

C) 5:3

D) 3:4

E) 2:1

Question 6: 4 years hence, the respective ratio between A’s age and B’s age will be 9:11. 6 years ago, if their average age was 30 years, what is B’s present age (in years)?

A) 40 years

B) 32 years

C) 44 years

D) 36 years

E) None of these

Question 7: Present ages of Akash and Itij are in the ratio 7:5 respectively. Gaurav is 3 years younger to Akash while Priya is 5 years elder to Itij. Find the ratio of the present ages of Gaurav to Priya if the present average age of Priya, Gaurav, Akash and Itij is 24 years six months.

A) 1:1

B) 2:3

C) 3:2

D) 5:4

E) 4:5

Question 8: Four years ago, ratio of age of Goli and Bholi is 5:7, respectively. What will be the ratio of age of Goli to Bholi after six years, if present age of Goli is 29 years.

A) 8:11

B) 4:7

C) 5:6

D) 7:9

E) 9:13

Question 9: Eight years ago, Varsha was 10 years elder than Rimjhim, and 12 years hence, the ratio of their ages becomes 5:4. Find the ratio of their ages after 2 years.

A) 3:5

B) 4:3

C) 2:5

D) 5:4

E) None of these

Question 10: Ratio of the present ages of Dinesh and Santosh is 5:7, respectively. After 8 years, difference of their ages will become 12 years. Find the present age of Santosh.

A) 35 years

B) 42 years

C) 49 years

D) 28 years

E) 56 years

Solution 1: C)

Let the present ages of Mohit and Sohit are 3x years and 4x years, respectively.

So the present age of Rohit = 1.50 × 4x = 6x years

According to question: (3x + 1)/ (6x – 3) = 5/9

27x + 9 = 30x – 15

3x = 24, x = 8

So the present age of Sohit = 8 × 4 = 32 years

Hence, option c.

Solution 2: E)

Let present age of Ram and Shyam be P years and Q years respectively.

According to question,

(P – 4)/(Q – 4) = 13/15

15P – 60 = 13Q – 52

15P – 13Q = 8………………….(1)

And, (P + 4)/(Q + 4) = 15/17

17P + 68 = 15Q + 60

15Q – 17P = 8…………………..(2)

Solving equation (1) and (2), we get

P = 56 and Q = 64

Average present age of Ram and Shyam = (56 + 64)/2 = 120/2 = 60 years

Hence, option e.

Solution 3: D)

Let present age of father and son be F and S.

According to question,

F – 5 = 2 × (S – 5)

F – 5 = 2S – 10

F = 2S – 5…………………………….(1)

(F + 15)/(S + 15) = 8/5

5F + 75 = 8S + 120

5F = 8S + 45

5 × (2S – 5) = 8S + 45

10S – 25 = 8S + 45

2S = 70

S = 35 years

F = 70 – 5 = 65 years

Desired average = (65 + 35)/2 = 50 years

Hence, option d.

Solution 4: A)

Let present age of Avantika and Anamika be X years and Y years respectively.

According to question,

(X – 6) = (Y – 6) – 12

X = Y – 12…………………………….(1)

And, (X + 12)/(Y + 12) = 3/4

4X + 48 = 3Y + 36

Putting value of X from equation (1)

4 × (Y – 12) + 48 = 3Y + 36

4Y – 48 + 48 = 3Y + 36

Y = 36 years

X = 24 years

Desired Average = (36 + 24)/2 = 30 years

Hence, option a.

Solution 5: D)

Let present age of Garima and Yogesh be 5x years and 6x years respectively.

According to question,

[(5x + 6) + (6x + 6)]/2 = 28

11x + 12 = 56

11x = 44

x = 4

Desired ratio = (5x – 8):(6x – 8) = 12:16 = 3:4

Hence, option d.

Solution 6: A)

Let the present age of A and B be ‘x’ years and ‘y’years respectively.

(x – 6 + y – 6)/2 = 30

x + y – 12 = 60

x + y = 72 —–(i)

(x + 4)/(y + 4) = 9/11

11x + 44 = 9y + 36

11x – 9y = -8 —–(ii)

On solving (i) and (ii), we get

x = 32 and y = 40

So, B’s present age is 40 years.

Hence, option a.

Solution 7: A)

Let the present ages of Akash and Itij be 7x years and 5x years, respectively.

So, the present age of Gaurav = 7x – 3 years

Present age of Priya = 5x + 5 years

According to question: 7x + 5x + 7x – 3 + 5x + 5 = 4 × 24.5

24x + 2 = 98

24x = 96

x = 4

So, the present ages of Priya, Gaurav, Akash and Itij are 25 years, 25 years, 28 years and 20 years respectively.

So, the desired ratio = 25:25 = 1:1

Hence, option a.

Solution 8: D)

Age of Goli 4 years ago = 29 – 4 = 25 years

Present age of Bholi = 7/5 × 25 + 4 = 39 years

Required ratio = (29 + 6)/(39 + 6) = 35:45 = 7:9

Hence, option d.

Solution 9: B)

Let present age of Varsha and Rimjhim be V years and R years

According to question,

(V – 8) = (R – 8) + 10

V = R + 10………………………………(1)

(V + 12)/(R + 12) = 5/4

4V + 48 = 5R + 60

4V = 5R + 12

Putting value of V from equation (1)

4R + 40 = 5R + 12

R = 28 years.

V = 38 years

Desired ratio = (38 + 2):(28 + 2) = 40:30 = 4:3

Hence, option b.

Solution 10: B)

Let, ages of Dinesh and Santosh be ‘5x’ years and ‘7x’ years, respectively.

So, 7x – 5x = 12

2x = 12

x = 6

Present age of Santosh = 7 × 6 = 42 years

Hence, option b.

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