Scroll:Ratio >> Fixed Difference >> ps (3074)


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)  

Karna is 35 as old as his neighbour now.
In 15 years' time, the ratio of his age to his neighbour's age will be 3:4.
How old is Karna now

years old


Answer:_______________




2)  

Balaji is 13 as old as his cousin now.
In 18 years' time, the ratio of his age to his cousin's age will be 2:3.
How old is Balaji now

years old


Answer:_______________




3)  

Barathan is 13 as old as his elder brother now.
In 25 years' time, the ratio of his age to his elder brother's age will be 3:4.
How old is Barathan now

years old


Answer:_______________




4)  

Moorthi is 35 as old as his teacher now.
In 13 years' time, the ratio of his age to his teacher's age will be 2:3.
How old is Moorthi now

years old


Answer:_______________




5)  

Anand is 13 as old as his elder sister now.
In 21 years' time, the ratio of his age to his elder sister's age will be 4:5.
How old is Anand now

years old


Answer:_______________




6)  

Aravindh is 35 as old as his neighbour now.
In 21 years' time, the ratio of his age to his neighbour's age will be 3:4.
How old is Aravindh now

years old


Answer:_______________




7)  

Pugal is 13 as old as his cousin now.
In 12 years' time, the ratio of his age to his cousin's age will be 2:3.
How old is Pugal now

years old


Answer:_______________




8)  

Murugan is 13 as old as his elder brother now.
In 20 years' time, the ratio of his age to his elder brother's age will be 3:4.
How old is Murugan now

years old


Answer:_______________




9)  

Kumar is 35 as old as his teacher now.
In 10 years' time, the ratio of his age to his teacher's age will be 2:3.
How old is Kumar now

years old


Answer:_______________




10)  

Balaji is 13 as old as his elder sister now.
In 21 years' time, the ratio of his age to his elder sister's age will be 4:5.
How old is Balaji now

years old


Answer:_______________




 

1)  

Karna is 35 as old as his neighbour now.
In 15 years' time, the ratio of his age to his neighbour's age will be 3:4.
How old is Karna now

Answer: 15 years old


SOLUTION 1 :
Present
Karna : Neighbour : Difference
3 : 5 : 2
     
 
15 years' time
Karna : Neighbour : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2

 

Step 1:
6 units - 3 units 
= 3 units
 
3 units 
= 15 years' old
 
 
 
     
     
     
     
     
     


2)  

Balaji is 13 as old as his cousin now.
In 18 years' time, the ratio of his age to his cousin's age will be 2:3.
How old is Balaji now

Answer: 6 years old


SOLUTION 1 :
Present
Balaji : Cousin : Difference
1 : 3 : 2
     
 
18 years' time
Balaji : Cousin : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2

 

Step 1:
  4 units - 1 unit 
= 3 units
Step 2:
3 units 
= 18
 
1 unit 
= 18 ÷ 3
    = 6 years' old
     
     
     
     
     


3)  

Barathan is 13 as old as his elder brother now.
In 25 years' time, the ratio of his age to his elder brother's age will be 3:4.
How old is Barathan now

Answer: 5 years old


SOLUTION 1 :
Present
Barathan : Elder brother : Difference
1 : 3 : 2
     
 
25 years' times
Barathan : Elder brother : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2

 

Step 1:
 6 units - 1 unit 
= 5 units
Step 2:
5 units 
= 25
 
1 unit 
= 25 ÷ 5
    = 5 years' old
     
     
     
     
     


4)  

Moorthi is 35 as old as his teacher now.
In 13 years' time, the ratio of his age to his teacher's age will be 2:3.
How old is Moorthi now

Answer: 39 years old


SOLUTION 1 :
Present
Moorthi : Teacher : Difference
3 : 5 : 2
     
 
13 years' time
Moorthi : Teacher : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2

 

Step 1:  
4 units - 3 units 
= 1 unit
Step 2:
1 unit 
= 13
 
3 units 
= 3 x 13
    = 39 years' old
     
     
     
     
     


5)  

Anand is 13 as old as his elder sister now.
In 21 years' time, the ratio of his age to his elder sister's age will be 4:5.
How old is Anand now

Answer: 3 years old


SOLUTION 1 :
Present
Anand : Elder sis : Difference
1 : 3 : 2
     
 
21 years' time
Anand : Elder sis : Difference
4x2 : 5x2 : 1x2
8 : 10 : 2

 

Step 1:  
8 units - 1 unit 
= 7 units
Step 2:
7 units 
= 21
 
1 unit 
= 21 ÷ 7
    = 3 years' old
     
     
     
     
     


6)  

Aravindh is 35 as old as his neighbour now.
In 21 years' time, the ratio of his age to his neighbour's age will be 3:4.
How old is Aravindh now

Answer: 21 years old


SOLUTION 1 :
Present
Aravindh : Neighbour : Difference
3 : 5 : 2
     
 
21 years' time
Aravindh : Neighbour : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2

 

Step 1:
6 units - 3 units 
= 3 units
 
3 units 
= 21 years' old
 
 
 
     
     
     
     
     
     


7)  

Pugal is 13 as old as his cousin now.
In 12 years' time, the ratio of his age to his cousin's age will be 2:3.
How old is Pugal now

Answer: 4 years old


SOLUTION 1 :
Present
Pugal : Cousin : Difference
1 : 3 : 2
     
 
12 years' time
Pugal : Cousin : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2

 

Step 1:
  4 units - 1 unit 
= 3 units
Step 2:
3 units 
= 12
 
1 unit 
= 12 ÷ 3
    = 4 years' old
     
     
     
     
     


8)  

Murugan is 13 as old as his elder brother now.
In 20 years' time, the ratio of his age to his elder brother's age will be 3:4.
How old is Murugan now

Answer: 4 years old


SOLUTION 1 :
Present
Murugan : Elder brother : Difference
1 : 3 : 2
     
 
20 years' times
Murugan : Elder brother : Difference
3x2 : 4x2 : 1x2
6 : 8 : 2

 

Step 1:
 6 units - 1 unit 
= 5 units
Step 2:
5 units 
= 20
 
1 unit 
= 20 ÷ 5
    = 4 years' old
     
     
     
     
     


9)  

Kumar is 35 as old as his teacher now.
In 10 years' time, the ratio of his age to his teacher's age will be 2:3.
How old is Kumar now

Answer: 30 years old


SOLUTION 1 :
Present
Kumar : Teacher : Difference
3 : 5 : 2
     
 
10 years' time
Kumar : Teacher : Difference
2x2 : 3x2 : 1x2
4 : 6 : 2

 

Step 1:  
4 units - 3 units 
= 1 unit
Step 2:
1 unit 
= 10
 
3 units 
= 3 x 10
    = 30 years' old
     
     
     
     
     


10)  

Balaji is 13 as old as his elder sister now.
In 21 years' time, the ratio of his age to his elder sister's age will be 4:5.
How old is Balaji now

Answer: 3 years old


SOLUTION 1 :
Present
Balaji : Elder sis : Difference
1 : 3 : 2
     
 
21 years' time
Balaji : Elder sis : Difference
4x2 : 5x2 : 1x2
8 : 10 : 2

 

Step 1:  
8 units - 1 unit 
= 7 units
Step 2:
7 units 
= 21
 
1 unit 
= 21 ÷ 7
    = 3 years' old