Scroll:Ratio >> Fixed Difference >> ps (3071)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

The ratio of John's age to his father's age is 2:3.
13 years ago, the ratio would be 3:5 respectively.
How old is John now

years old


Answer:_______________




2)  

The ratio of Karna's age to his father's age is 3:4.
50 years ago, the ratio would be 1:2 respectively.
How old is Karna now

years old


Answer:_______________




3)  

The ratio of Murugan's age to his father's age is 2:3.
10 years ago, the ratio would be 3:5 respectively.
How old is Murugan now

years old


Answer:_______________




4)  

The ratio of Sriram's age to his father's age is 3:4.
36 years ago, the ratio would be 3:5 respectively.
How old is Sriram now

years old


Answer:_______________




5)  

The ratio of Sriram's age to his father's age is 1:2.
16 years ago, the ratio would be 1:4 respectively.
How old is Sriram now

years old


Answer:_______________




6)  

The ratio of Aravindh's age to his mother's age is 1:2.
19 years ago, the ratio would be 1:3 respectively.
How old is Aravindh now

years old


Answer:_______________




7)  

The ratio of John's age to his father's age is 2:3.
12 years ago, the ratio would be 3:5 respectively.
How old is John now

years old


Answer:_______________




8)  

The ratio of Pugal's age to his father's age is 3:4.
50 years ago, the ratio would be 1:2 respectively.
How old is Pugal now

years old


Answer:_______________




9)  

The ratio of Chidambaram's age to his father's age is 2:3.
16 years ago, the ratio would be 3:5 respectively.
How old is Chidambaram now

years old


Answer:_______________




10)  

The ratio of Kalai's age to his father's age is 3:4.
36 years ago, the ratio would be 3:5 respectively.
How old is Kalai now

years old


Answer:_______________




 

1)  

The ratio of John's age to his father's age is 2:3.
13 years ago, the ratio would be 3:5 respectively.
How old is John now

Answer: 52 years old


SOLUTION 1 :
Present
J F Difference
2x2 3x2 1x2
4 6 2
Past
J F Difference
3 5 2
     

 

Step 1: 4 - 3 = 1 unit

Step 2: 13 x 4 = 52 

Answer: 52 years old



2)  

The ratio of Karna's age to his father's age is 3:4.
50 years ago, the ratio would be 1:2 respectively.
How old is Karna now

Answer: 75 years old


SOLUTION 1 :
Present
Karna
: Father : Difference
3 : 4 : 1
 
50 years' ago
Karna
: Father : Difference
1 : 2 : 1

 

Step 1:    3 units - 1 unit  = 2 units
Step 2: 2 units  = 50
  1 unit  = 50 ÷ 2
    = 25
Step 3:  3 units  = 3 x 25
    = 75 years' old
     
     


3)  

The ratio of Murugan's age to his father's age is 2:3.
10 years ago, the ratio would be 3:5 respectively.
How old is Murugan now

Answer: 40 years old


SOLUTION 1 :
Present
Murugan : Father : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2
 
10 years' ago
Murugan
: Father : Difference
3 : 5 : 2
     

 

Step 1:    4 units - 3 units  = 1 unit
  1 unit  = 10
Step 2: 4 units  = 4 x 10
    = 40 years' old
     
     
     
     


4)  

The ratio of Sriram's age to his father's age is 3:4.
36 years ago, the ratio would be 3:5 respectively.
How old is Sriram now

Answer: 72 years old


SOLUTION 1 :
Present
Sriram
: Father : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2
 
36 years' ago
Sriram
: Father : Difference
3 : 5 : 2
     

 

Step 1:    6 units - 3 units  = 3 units
Step 2: 3 units  = 36
  1 unit  = 36 ÷ 3
    = 12
Step 3:  6 units  = 6 x 12
    = 72 years' old
     
     

 



5)  

The ratio of Sriram's age to his father's age is 1:2.
16 years ago, the ratio would be 1:4 respectively.
How old is Sriram now

Answer: 24 years old


SOLUTION 1 :
Present
Sriram : Father : Difference
1x3 : 2x3 : 1x3
3 : 6 : 3
 
16 years' ago
Sriram : Father : Difference
1 : 4 : 3
     

 

Step 1:    3 units - 1 unit  = 2 unit
  2 unit  = 16
Step 2: 1 unit  = 16 ÷ 2
    = 8 years' old
Step 3: 3 units  = 3 x 8
    = 24 years' old
     
     


6)  

The ratio of Aravindh's age to his mother's age is 1:2.
19 years ago, the ratio would be 1:3 respectively.
How old is Aravindh now

Answer: 38 years old


SOLUTION 1 :
Present
Aravindh : Mother : Difference
1x2 : 2x2 : 1x2
2 : 4 : 2
 
19 years' ago
Aravindh : Mother : Difference
1 : 3 : 2
     

 

Step 1:    2 units - 1 unit  = 1 unit
  1 unit  = 19
Step 2: 2 units  = 2 x 19
    = 38 years' old
     
     
     
     


7)  

The ratio of John's age to his father's age is 2:3.
12 years ago, the ratio would be 3:5 respectively.
How old is John now

Answer: 48 years old


SOLUTION 1 :
Present
J F Difference
2x2 3x2 1x2
4 6 2
Past
J F Difference
3 5 2
     

 

Step 1: 4 - 3 = 1 unit

Step 2: 12 x 4 = 48 

Answer: 48 years old



8)  

The ratio of Pugal's age to his father's age is 3:4.
50 years ago, the ratio would be 1:2 respectively.
How old is Pugal now

Answer: 75 years old


SOLUTION 1 :
Present
Pugal
: Father : Difference
3 : 4 : 1
 
50 years' ago
Pugal
: Father : Difference
1 : 2 : 1

 

Step 1:    3 units - 1 unit  = 2 units
Step 2: 2 units  = 50
  1 unit  = 50 ÷ 2
    = 25
Step 3:  3 units  = 3 x 25
    = 75 years' old
     
     


9)  

The ratio of Chidambaram's age to his father's age is 2:3.
16 years ago, the ratio would be 3:5 respectively.
How old is Chidambaram now

Answer: 64 years old


SOLUTION 1 :
Present
Chidambaram : Father : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2
 
16 years' ago
Chidambaram
: Father : Difference
3 : 5 : 2
     

 

Step 1:    4 units - 3 units  = 1 unit
  1 unit  = 16
Step 2: 4 units  = 4 x 16
    = 64 years' old
     
     
     
     


10)  

The ratio of Kalai's age to his father's age is 3:4.
36 years ago, the ratio would be 3:5 respectively.
How old is Kalai now

Answer: 72 years old


SOLUTION 1 :
Present
Kalai
: Father : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2
 
36 years' ago
Kalai
: Father : Difference
3 : 5 : 2
     

 

Step 1:    6 units - 3 units  = 3 units
Step 2: 3 units  = 36
  1 unit  = 36 ÷ 3
    = 12
Step 3:  6 units  = 6 x 12
    = 72 years' old