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 Aravindh's age to his father's age is 1:2. 26 years ago, the ratio would be 1:4 respectively. How old is Aravindh now
years old
Answer:_______________
2)
The ratio of John's age to his father's age is 2:3. 14 years ago, the ratio would be 3:5 respectively. How old is John now
years old
Answer:_______________
3)
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:_______________
4)
The ratio of Barathan's age to his father's age is 3:4. 36 years ago, the ratio would be 3:5 respectively. How old is Barathan now
years old
Answer:_______________
5)
The ratio of Moorthi's age to his father's age is 2:3. 16 years ago, the ratio would be 3:5 respectively. How old is Moorthi now
years old
Answer:_______________
6)
The ratio of Murugan's age to his mother's age is 1:2. 12 years ago, the ratio would be 1:3 respectively. How old is Murugan now
years old
Answer:_______________
7)
The ratio of Moorthi's age to his father's age is 1:2. 24 years ago, the ratio would be 1:4 respectively. How old is Moorthi now
years old
Answer:_______________
8)
The ratio of John's age to his father's age is 2:3. 11 years ago, the ratio would be 3:5 respectively. How old is John now
years old
Answer:_______________
9)
The ratio of Prem's age to his father's age is 3:4. 46 years ago, the ratio would be 1:2 respectively. How old is Prem now
years old
Answer:_______________
10)
The ratio of Raj's age to his father's age is 3:4. 39 years ago, the ratio would be 3:5 respectively. How old is Raj now
years old
Answer:_______________
1)
The ratio of Aravindh's age to his father's age is 1:2. 26 years ago, the ratio would be 1:4 respectively. How old is Aravindh now
Answer: 39 years old
SOLUTION 1 :
Present
Aravindh
:
Father
:
Difference
1x3
:
2x3
:
1x3
3
:
6
:
3
26 years' ago
Aravindh
:
Father
:
Difference
1
:
4
:
3
Step 1:
3 units - 1 unit
= 2 unit
2 unit
= 26
Step 2:
1 unit
= 26 ÷ 2
= 13 years' old
Step 3:
3 units
= 3 x 13
= 39 years' old
2)
The ratio of John's age to his father's age is 2:3. 14 years ago, the ratio would be 3:5 respectively. How old is John now
Answer: 56 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: 14 x 4 = 56
Answer: 56 years old
3)
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
4)
The ratio of Barathan's age to his father's age is 3:4. 36 years ago, the ratio would be 3:5 respectively. How old is Barathan now
Answer: 72 years old
SOLUTION 1 :
Present
Barathan
:
Father
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
36 years' ago
Barathan
:
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 Moorthi's age to his father's age is 2:3. 16 years ago, the ratio would be 3:5 respectively. How old is Moorthi now
Answer: 64 years old
SOLUTION 1 :
Present
Moorthi
:
Father
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
16 years' ago
Moorthi
:
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
6)
The ratio of Murugan's age to his mother's age is 1:2. 12 years ago, the ratio would be 1:3 respectively. How old is Murugan now
Answer: 24 years old
SOLUTION 1 :
Present
Murugan
:
Mother
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
12 years' ago
Murugan
:
Mother
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= 12
Step 2:
2 units
= 2 x 12
= 24 years' old
7)
The ratio of Moorthi's age to his father's age is 1:2. 24 years ago, the ratio would be 1:4 respectively. How old is Moorthi now
Answer: 36 years old
SOLUTION 1 :
Present
Moorthi
:
Father
:
Difference
1x3
:
2x3
:
1x3
3
:
6
:
3
24 years' ago
Moorthi
:
Father
:
Difference
1
:
4
:
3
Step 1:
3 units - 1 unit
= 2 unit
2 unit
= 24
Step 2:
1 unit
= 24 ÷ 2
= 12 years' old
Step 3:
3 units
= 3 x 12
= 36 years' old
8)
The ratio of John's age to his father's age is 2:3. 11 years ago, the ratio would be 3:5 respectively. How old is John now
Answer: 44 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: 11 x 4 = 44
Answer: 44 years old
9)
The ratio of Prem's age to his father's age is 3:4. 46 years ago, the ratio would be 1:2 respectively. How old is Prem now
Answer: 69 years old
SOLUTION 1 :
Present
Prem
:
Father
:
Difference
3
:
4
:
1
46 years' ago
Prem
:
Father
:
Difference
1
:
2
:
1
Step 1:
3 units - 1 unit
= 2 units
Step 2:
2 units
= 46
1 unit
= 46 ÷ 2
= 23
Step 3:
3 units
= 3 x 23
= 69 years' old
10)
The ratio of Raj's age to his father's age is 3:4. 39 years ago, the ratio would be 3:5 respectively. How old is Raj now