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 Narayanan's age to his mother's age is 1:2. 15 years ago, the ratio would be 1:3 respectively. How old is Narayanan now
years old
Answer:_______________
2)
The ratio of Kalai's age to his father's age is 3:4. 46 years ago, the ratio would be 1:2 respectively. How old is Kalai now
years old
Answer:_______________
3)
The ratio of Raj's age to his father's age is 2:3. 12 years ago, the ratio would be 3:5 respectively. How old is Raj now
years old
Answer:_______________
4)
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:_______________
5)
The ratio of Raj's age to his father's age is 3:4. 36 years ago, the ratio would be 3:5 respectively. How old is Raj now
years old
Answer:_______________
6)
The ratio of Balaji's age to his father's age is 1:2. 20 years ago, the ratio would be 1:4 respectively. How old is Balaji now
years old
Answer:_______________
7)
The ratio of Moorthi's age to his mother's age is 1:2. 19 years ago, the ratio would be 1:3 respectively. How old is Moorthi now
years old
Answer:_______________
8)
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:_______________
9)
The ratio of Moorthi's age to his father's age is 2:3. 10 years ago, the ratio would be 3:5 respectively. How old is Moorthi now
years old
Answer:_______________
10)
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:_______________
1)
The ratio of Narayanan's age to his mother's age is 1:2. 15 years ago, the ratio would be 1:3 respectively. How old is Narayanan now
Answer: 30 years old
SOLUTION 1 :
Present
Narayanan
:
Mother
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
15 years' ago
Narayanan
:
Mother
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= 15
Step 2:
2 units
= 2 x 15
= 30 years' old
2)
The ratio of Kalai's age to his father's age is 3:4. 46 years ago, the ratio would be 1:2 respectively. How old is Kalai now
Answer: 69 years old
SOLUTION 1 :
Present
Kalai
:
Father
:
Difference
3
:
4
:
1
46 years' ago
Kalai
:
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
3)
The ratio of Raj's age to his father's age is 2:3. 12 years ago, the ratio would be 3:5 respectively. How old is Raj now
Answer: 48 years old
SOLUTION 1 :
Present
Raj
:
Father
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
12 years' ago
Raj
:
Father
:
Difference
3
:
5
:
2
Step 1:
4 units - 3 units
= 1 unit
1 unit
= 12
Step 2:
4 units
= 4 x 12
= 48 years' old
4)
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
5)
The ratio of Raj's age to his father's age is 3:4. 36 years ago, the ratio would be 3:5 respectively. How old is Raj now
Answer: 72 years old
SOLUTION 1 :
Present
Raj
:
Father
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
36 years' ago
Raj
:
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
6)
The ratio of Balaji's age to his father's age is 1:2. 20 years ago, the ratio would be 1:4 respectively. How old is Balaji now
Answer: 30 years old
SOLUTION 1 :
Present
Balaji
:
Father
:
Difference
1x3
:
2x3
:
1x3
3
:
6
:
3
20 years' ago
Balaji
:
Father
:
Difference
1
:
4
:
3
Step 1:
3 units - 1 unit
= 2 unit
2 unit
= 20
Step 2:
1 unit
= 20 ÷ 2
= 10 years' old
Step 3:
3 units
= 3 x 10
= 30 years' old
7)
The ratio of Moorthi's age to his mother's age is 1:2. 19 years ago, the ratio would be 1:3 respectively. How old is Moorthi now
Answer: 38 years old
SOLUTION 1 :
Present
Moorthi
:
Mother
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
19 years' ago
Moorthi
:
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
8)
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
9)
The ratio of Moorthi's age to his father's age is 2:3. 10 years ago, the ratio would be 3:5 respectively. How old is Moorthi now
Answer: 40 years old
SOLUTION 1 :
Present
Moorthi
:
Father
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
10 years' ago
Moorthi
:
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
10)
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