Question 1
Sum of 4 childeren born at interval of 4 years is is 36. What is the age of youngest child?
A
2 years
B
3 years
C
4 years
D
5 years
Arithmetic Aptitude 2    Age    
Discuss it


Question 1 Explanation: 
Let the ages of children be x, (x+4), 
(x+8) and (x+12) years.

Then x + x + 4 + x + 8 + x +12 = 36
                       4x + 24 = 36
                             4x = 12
                              x = 3
Age of the youngest child = x = 3 years
Question 2
Sum of 4 childeren born at interval of 4 years is is 36. What is the age of youngest child?
A
2 years
B
3 years
C
4 years
D
5 years
Arithmetic Aptitude 2    Age    
Discuss it


Question 2 Explanation: 
Let the ages of children be x, (x+4), 
(x+8) and (x+12) years.

Then x + x + 4 + x + 8 + x +12 = 36
                       4x + 24 = 36
                             4x = 12
                              x = 3
Age of the youngest child = x = 3 years
Question 3
A is 5 years older than B who is thrice as old as C. If the total of ages of A, B and C is 40, then how old is C ?
A
6
B
7
C
5
D
8
Arithmetic Aptitude 2    Age    
Discuss it


Question 3 Explanation: 
Let C’s age be x years then B’s age be 3x
years and A’s age be (3x+5) years

Therefore  x + 3x + (3x + 5) = 40
                      7x + 5 = 40
                          7x = 35
                            x = 5
Question 4
Present age of Vinod and Ashok are in ratio of 3:4 respectively. After 5 years, the ratio of their ages becomes 7:9 respectively. What is Ashok’s present age is ?
A
40 years
B
28 years
C
32 years
D
36 years
Arithmetic Aptitude 3    Ratio and Proportion    Age    
Discuss it


Question 4 Explanation: 
Let the present age of Vinod and Ashok be 3x years and 4x years respectively.
Then (3x+5) / (4x+5)  = 7 / 9 

∴ 9(3x + 5) = 7(4x + 5)
∴ 27x + 45 = 28x + 35
∴ x = 10
∴ Ashok’s present age = 4x = 40 years 
Question 5
At present father’s age is thrice of son’s age. After 15 years father’s age will be double of son’s age. What is son’s present age?
A
16 years
B
15 years
C
12 years
D
10 years
Arithmetic Aptitude 3    Age    
Discuss it


Question 5 Explanation: 
Let the present age of son and father be x years and 3x years respectively. Then (3x + 15) = 2(x + 15) ∴ 3x + 15 = 2x + 30 ∴ x = 15 ∴ Son’s present age = x = 15 years.
Question 6
At present, the ratio between ages of Ram and Shyam is 6:5 respectively. After 7 years, Shyam’s age will be 32 years. What is the present age of Ram?
A
32
B
40
C
30
D
36
Arithmetic Aptitude 3    Ratio and Proportion    Age    
Discuss it


Question 6 Explanation: 
Let the present age of Ram and Shyam be 6x years and 5x years respectively.

Then 5x + 7 = 32
∴      5x = 25
∴        x = 5
∴ Present age of Ram = 6x = 30 years
Question 7
The present ages of A, B and C are in proportions 4:5:9. Nine years ago, sum of their ages was 45 years. Find their present ages in years
A
15,20,35
B
20,24,36
C
20,25,45
D
16,20,36
Arithmetic Aptitude 3    Ratio and Proportion    Age    
Discuss it


Question 7 Explanation: 
Let the current ages of A, B and C be ax years, 5x years and 9x respectively.
Then (4x-9) + (5x-9) + (9x-9) =45
∴ 18x – 27 = 45
∴ 18x = 72
∴ x = 4
Present ages of A, B and C are 4x = 16, 5x = 20, 9x = 36 respectively.
Question 8
A person’s present age is one third of the age of his mother. After 12 years, his age will be one half of the age of his mother. What is present age of his mother?
A
30
B
34
C
38
D
36
Arithmetic Aptitude 3    Age    
Discuss it


Question 8 Explanation: 
Le the present ages of son and his mother are x years and 3x years.
Then (3x + 12) = 2( x + 12)
∴ 3x + 12 = 2x + 24
∴ x = 12
∴ Present age of mother = 3x = 36 years 
Question 9
A is as older than B as he is younger than C.If the sum of ages of B and C is 68 years. What is the present age of A?
A
24 years
B
34 years
C
28 years
D
32 years
Arithmetic Aptitude 3    Age    
Discuss it


Question 9 Explanation: 
A – B = C – A
∴ 2A = B + C
And also given that B + C = 68
∴ 2A = 68
∴   A = 34 
Question 10
After 15 years, Paul’s age will be 5 times his age 5 years back. Find out his present age.
A
10 years
B
14 years
C
12 years
D
11 years
Age    
Discuss it


Question 10 Explanation: 
Let his present age be x years. Paul’s age after 15 years = (x+15) years. Paul’s age 5 years back = (x-5) years. Hence, x+15 = 5(x-5) ⇒ x+15 = 5x-25 ⇒ 4x = 40 ⇒ x = 10.
Question 11
Sam is 16 years older than Peter. If 6 years back, Sam's age was 3 times Peter's age, what are their present ages?
A
14 and 30 years
B
15 and 31 years
C
13 and 30 years
D
12 and 30
Age    
Discuss it


Question 11 Explanation: 
Let Peter's age be x years. Then, Sam's age = x + 16 years. We know, 3 × (x-6) = (x+16) - 6 ⇒ 3x - 18 = x + 10 ⇒ 2x = 28 ⇒ x = 14. Therefore, Peter's present age is 14 years and Sam's present age is 30 years.
Question 12
Cooper's present age is 3 years more than thrice Max's present age. After 3 years, Cooper's age will 10 years more than twice Max's age. What is Cooper's present age?
A
33 years
B
34 years
C
38 years
D
32 years
Age    
Discuss it


Question 12 Explanation: 
Let's Max's present age be x years. Then, Cooper's present age is (3x + 3) years. According to the question, (3x + 3) + 3 = 2(x + 3) + 10 ⇒ 3x + 6 = 2x + 16 ⇒ x = 10. Therefore, Cooper's present age is (3x + 3) = 33 years.
Question 13
The age of a father was 4 times his son’s age 8 years back. After 8 years, the father will be twice as old as his son. Find out the present ages of father and son.
A
16 and 40 years
B
14 and 45 years
C
10 and 42 years
D
13 and 41 years
Age    
Discuss it


Question 13 Explanation: 
Let the son be x years old and the father be y years old. Then, y-8 = 4(x-8) and y+8 = 2(x+8). Subtracting the first equation from the second, we get (y+8) - (y-8) = (2x+16) - (4x-32) ⇒ 16 = -2x + 48 ⇒ 2x = 32 ⇒ x = 16. But, y-8 = 4(x-8). So, y = 4(x-8) + 8 = 40. Therefore, the present ages are 16 and 40 years.
Question 14
6:7 is the ratio of Michael's and Rosan‘s ages one year back. The ratio will become 7:8 in four years. Calculate the present age of Rosan.
A
35 years
B
32 years
C
36 years
D
31 years
Age    
Discuss it


Question 14 Explanation: 
Let the ages of Michael and Rosan one year ago be 6a and 7a respectively. Then, Michael's age after 4 years = (6a + 1) + 4 = (6a + 5) years. Rosan's age after 4 years = (7a + 1) + 4 = (7a + 5) years. Therefore, (6a + 5):(7a + 5) = 7:8 ⇒ 8×(6a + 5) = 7×(7a + 5) ⇒ 48a + 40 = 49a + 35 ⇒ a = 5. Hence, the present age of Rosan = (7a + 1) = 7×5 + 1 = 35 + 1 = 36 years.
Question 15
5 years ago age of Ram was 50 % less than Shyam’s age. If the ratio of Shyam’s present age to Ram’s present age 4:3. What will be Ram’s age after 7.5 years?
A
25 years
B
20 years
C
20 years
D
15 years
Percentages    Age    
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Question 15 Explanation: 
Say Ram’s present age = R, Shyam’s present age  = S, R:S = 3:4, R = 3S/4 ------------ (1) 5 years ago Ram’s age = R-5, 5 years ago Shyam’s age S-5, and according to given condition, R-5 = (S-5)/2 ------- (2) From 1 and 2: (R - 5) = ((4R/3)-5)/2, 6R - 30 = 4R - 15, R = 15/2 = 7.5 years, After 7.5 years, Ram’s age = 7.5 + 7.5 = 15 years.
Question 16
5 years ago the ratio of Shyam’s age to Ram’s age is 3:2. If Ram’s present age is 25% less than Shyam’s present age. What will be Ram’s age after 10 years?
A
20 years
B
15 years
C
25 years
D
20 years
Percentages    Age    
Discuss it


Question 16 Explanation: 
Say Ram’s present age = R Shyam’s present age  = S S = R+S/4---------------------(1) 5 years ago: (S-5)/(R-5) = 3/2------------(2) from 1 and 2: (8R/3) -10 = (9R/3) – 15 R =15 After 10 years Ram’s age = 25 years
Question 17
Meena will be 5 times his age 5 years back, after 15 years. What is the present age of Meena?
A
10 years
B
15 years
C
12 years
D
16 years
Age    
Discuss it


Question 17 Explanation: 
Say present age of meena = m 5 years back Meena’s age = m-5 after 15 years => 5(­m-5) = m+15 5m-25=m+15 4m = 40 m = 10 years
Question 18
A boy is older than girl by 7 years. If the ratio of ages of boy:girl is 9:7, what is the age of boy?
A
30 years
B
20 years
C
31.5 years
D
25.5 years
Age    
Discuss it


Question 18 Explanation: 
say age of boy = b
age of girl = b-7
b:b-7 = 9:7
7b = 9b -63
2b = 63
b= 31.5 years
Question 19

The present ages of Ram and Shyam are in the ratio 6:7. If Shyam is 4 years older than Ram, after 4 years what will be the ratio of their ages?

A
5:8
B
4:8
C
7:8
D
8:7
Age    
Discuss it


Question 19 Explanation: 

Let present age of Ram = 6x years

present age of Shyam = 7x years

Then 7x - 6x = 4

ð   x = 4

After 4 years required ratio will be (6x+4): (7x+4)

=> 28:32 => 7:8

Question 20

If difference of ages of Ram and Shyam is 16 years. If 6 year ago, the Ram’s age is 3 times as old the Shyam, What are Ram and Shyam's respective present ages?

A
17, 30
B
30, 14
C
15, 32
D
14, 30
Age    
Discuss it


Question 20 Explanation: 

Let the age of Ram is x, Then elder person age is (x+16) => 3(x-6) = (x+16-6) [6 years before] => 3x-18 = x+10 => x = 14. So other person age is x + 16 = 30

Question 21
The sum of the ages of a mother and daughter is 45 years. 5 years ago, the product of their ages was 30 times the daughter's age at that time. What is the present age of mother?
A
12
B
7
C
35
D
10
Age    
Discuss it


Question 21 Explanation: 
Say present age of mother =m
daughter’s age =d
m+d = 45 -------------(1)
(m-5)(d-5) = 30(d-5) --------(2)
m=35
Question 22
The sum of the ages of a mother and daughter is 45 years. 5 years ago, the product of their ages was 30 times the daughter's age at that time. What is the present age of daughter?
A
10
B
30
C
32
D
37
Age    
Discuss it


Question 22 Explanation: 
Say present age of mother =m
daughter’s age =d
m+d = 45 -------------(1)
(m-5)(d-5) = 30(d-5) --------(2)
d = 10
Question 23

Ram age was half of Shaym’s age, 10 years ago. If the ratio of their present ages is 3:5, what is the sum of their ages at present?

A
30
B
50
C
70
D
80
Age    
Discuss it


Question 23 Explanation: 

Say Rams present age = r

that of shaym =s

r-10 = (s-10)/2

r/s = 3/5

6s-100 = 5s-50

s =50

r = 30

Sum = 80

Question 24

The Sum of ages of Seeta and Geeta is 12 years less than the sum of ages of Geeta and Ina. By how many years Ina is older than Seeta?

A
15
B
12
C
10
D
18
Age    
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Question 24 Explanation: 

s+g+12 = g+i

i=s+12

Question 25

The ages of A and B differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What is present ages of the elder person?

A
35
B
20
C
25
D
30
Age    
Discuss it


Question 25 Explanation: 

A-B = 16

A-6 = 3(B-6)

A-6 = 3(A-16-6)

A =30

There are 25 questions to complete.

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