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)
Aravindh is as old as his neighbour now. In 9 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Aravindh now
years old
Answer:_______________
2)
Karna is 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 Karna now
years old
Answer:_______________
3)
Barathan is 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 Barathan now
years old
Answer:_______________
4)
Murugan is as old as his elder sister now. In 35 years' time, the ratio of his age to his elder sister's age will be 4:5. How old is Murugan now
years old
Answer:_______________
5)
Prem is as old as his cousin now. In 15 years' time, the ratio of his age to his cousin's age will be 2:3. How old is Prem now
years old
Answer:_______________
6)
Aravindh is 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)
Raj is 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 Raj now
years old
Answer:_______________
8)
Karna is as old as his teacher now. In 14 years' time, the ratio of his age to his teacher's age will be 2:3. How old is Karna now
years old
Answer:_______________
9)
Raj is as old as his elder sister now. In 28 years' time, the ratio of his age to his elder sister's age will be 4:5. How old is Raj now
years old
Answer:_______________
10)
Prem is as old as his cousin now. In 21 years' time, the ratio of his age to his cousin's age will be 2:3. How old is Prem now
years old
Answer:_______________
1)
Aravindh is as old as his neighbour now. In 9 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Aravindh now
Answer: 9 years old
SOLUTION 1 :
Present
Aravindh
:
Neighbour
:
Difference
3
:
5
:
2
9 years' time
Aravindh
:
Neighbour
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
Step 1:
6 units - 3 units
= 3 units
3 units
= 9 years' old
2)
Karna is 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 Karna now
Answer: 5 years old
SOLUTION 1 :
Present
Karna
:
Elder brother
:
Difference
1
:
3
:
2
25 years' times
Karna
:
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
3)
Barathan is 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 Barathan now
Answer: 30 years old
SOLUTION 1 :
Present
Barathan
:
Teacher
:
Difference
3
:
5
:
2
10 years' time
Barathan
:
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
4)
Murugan is as old as his elder sister now. In 35 years' time, the ratio of his age to his elder sister's age will be 4:5. How old is Murugan now
Answer: 5 years old
SOLUTION 1 :
Present
Murugan
:
Elder sis
:
Difference
1
:
3
:
2
35 years' time
Murugan
:
Elder sis
:
Difference
4x2
:
5x2
:
1x2
8
:
10
:
2
Step 1:
8 units - 1 unit
= 7 units
Step 2:
7 units
= 35
1 unit
= 35 ÷ 7
= 5 years' old
5)
Prem is as old as his cousin now. In 15 years' time, the ratio of his age to his cousin's age will be 2:3. How old is Prem now
Answer: 5 years old
SOLUTION 1 :
Present
Prem
:
Cousin
:
Difference
1
:
3
:
2
15 years' time
Prem
:
Cousin
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= 15
1 unit
= 15 ÷ 3
= 5 years' old
6)
Aravindh is 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)
Raj is 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 Raj now
Answer: 5 years old
SOLUTION 1 :
Present
Raj
:
Elder brother
:
Difference
1
:
3
:
2
25 years' times
Raj
:
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
8)
Karna is as old as his teacher now. In 14 years' time, the ratio of his age to his teacher's age will be 2:3. How old is Karna now
Answer: 42 years old
SOLUTION 1 :
Present
Karna
:
Teacher
:
Difference
3
:
5
:
2
14 years' time
Karna
:
Teacher
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
Step 1:
4 units - 3 units
= 1 unit
Step 2:
1 unit
= 14
3 units
= 3 x 14
= 42 years' old
9)
Raj is as old as his elder sister now. In 28 years' time, the ratio of his age to his elder sister's age will be 4:5. How old is Raj now
Answer: 4 years old
SOLUTION 1 :
Present
Raj
:
Elder sis
:
Difference
1
:
3
:
2
28 years' time
Raj
:
Elder sis
:
Difference
4x2
:
5x2
:
1x2
8
:
10
:
2
Step 1:
8 units - 1 unit
= 7 units
Step 2:
7 units
= 28
1 unit
= 28 ÷ 7
= 4 years' old
10)
Prem is as old as his cousin now. In 21 years' time, the ratio of his age to his cousin's age will be 2:3. How old is Prem now