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 Balaji's age to his mother's age is 1:2. 15 years ago, the ratio would be 1:3 respectively. How old is Balaji now
years old
Answer:_______________
2)
The ratio of Aravindh's age to his father's age is 3:4. 44 years ago, the ratio would be 1:2 respectively. How old is Aravindh now
years old
Answer:_______________
3)
The ratio of Aravindh's age to his father's age is 2:3. 12 years ago, the ratio would be 3:5 respectively. How old is Aravindh now
years old
Answer:_______________
4)
The ratio of John's age to his father's age is 2:3. 10 years ago, the ratio would be 3:5 respectively. How old is John now
years old
Answer:_______________
5)
The ratio of Anand's age to his father's age is 3:4. 36 years ago, the ratio would be 3:5 respectively. How old is Anand now
years old
Answer:_______________
6)
The ratio of Moorthi's age to his father's age is 1:2. 16 years ago, the ratio would be 1:4 respectively. How old is Moorthi now
years old
Answer:_______________
7)
The ratio of Anand's age to his mother's age is 1:2. 16 years ago, the ratio would be 1:3 respectively. How old is Anand now
years old
Answer:_______________
8)
The ratio of Narayanan's age to his father's age is 3:4. 44 years ago, the ratio would be 1:2 respectively. How old is Narayanan now
years old
Answer:_______________
9)
The ratio of Kalai's age to his father's age is 2:3. 15 years ago, the ratio would be 3:5 respectively. How old is Kalai now
years old
Answer:_______________
10)
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:_______________
1)
The ratio of Balaji's age to his mother's age is 1:2. 15 years ago, the ratio would be 1:3 respectively. How old is Balaji now
Answer: 30 years old
SOLUTION 1 :
Present
Balaji
:
Mother
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
15 years' ago
Balaji
:
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 Aravindh's age to his father's age is 3:4. 44 years ago, the ratio would be 1:2 respectively. How old is Aravindh now
Answer: 66 years old
SOLUTION 1 :
Present
Aravindh
:
Father
:
Difference
3
:
4
:
1
44 years' ago
Aravindh
:
Father
:
Difference
1
:
2
:
1
Step 1:
3 units - 1 unit
= 2 units
Step 2:
2 units
= 44
1 unit
= 44 ÷ 2
= 22
Step 3:
3 units
= 3 x 22
= 66 years' old
3)
The ratio of Aravindh's age to his father's age is 2:3. 12 years ago, the ratio would be 3:5 respectively. How old is Aravindh now
Answer: 48 years old
SOLUTION 1 :
Present
Aravindh
:
Father
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
12 years' ago
Aravindh
:
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. 10 years ago, the ratio would be 3:5 respectively. How old is John now
Answer: 40 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: 10 x 4 = 40
Answer: 40 years old
5)
The ratio of Anand's age to his father's age is 3:4. 36 years ago, the ratio would be 3:5 respectively. How old is Anand now
Answer: 72 years old
SOLUTION 1 :
Present
Anand
:
Father
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
36 years' ago
Anand
:
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 Moorthi's age to his father's age is 1:2. 16 years ago, the ratio would be 1:4 respectively. How old is Moorthi now
Answer: 24 years old
SOLUTION 1 :
Present
Moorthi
:
Father
:
Difference
1x3
:
2x3
:
1x3
3
:
6
:
3
16 years' ago
Moorthi
:
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
7)
The ratio of Anand's age to his mother's age is 1:2. 16 years ago, the ratio would be 1:3 respectively. How old is Anand now
Answer: 32 years old
SOLUTION 1 :
Present
Anand
:
Mother
:
Difference
1x2
:
2x2
:
1x2
2
:
4
:
2
16 years' ago
Anand
:
Mother
:
Difference
1
:
3
:
2
Step 1:
2 units - 1 unit
= 1 unit
1 unit
= 16
Step 2:
2 units
= 2 x 16
= 32 years' old
8)
The ratio of Narayanan's age to his father's age is 3:4. 44 years ago, the ratio would be 1:2 respectively. How old is Narayanan now
Answer: 66 years old
SOLUTION 1 :
Present
Narayanan
:
Father
:
Difference
3
:
4
:
1
44 years' ago
Narayanan
:
Father
:
Difference
1
:
2
:
1
Step 1:
3 units - 1 unit
= 2 units
Step 2:
2 units
= 44
1 unit
= 44 ÷ 2
= 22
Step 3:
3 units
= 3 x 22
= 66 years' old
9)
The ratio of Kalai's age to his father's age is 2:3. 15 years ago, the ratio would be 3:5 respectively. How old is Kalai now
Answer: 60 years old
SOLUTION 1 :
Present
Kalai
:
Father
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
15 years' ago
Kalai
:
Father
:
Difference
3
:
5
:
2
Step 1:
4 units - 3 units
= 1 unit
1 unit
= 15
Step 2:
4 units
= 4 x 15
= 60 years' old
10)
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