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 elder brother now. In 35 years' time, the ratio of his age to his elder brother's age will be 3:4. How old is Aravindh now
years old
Answer:_______________
2)
Chidambaram is 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 Chidambaram now
years old
Answer:_______________
3)
Raj 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 Raj now
years old
Answer:_______________
4)
Kalai 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 Kalai now
years old
Answer:_______________
5)
Prem is 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 Prem now
years old
Answer:_______________
6)
Kumar is as old as his elder brother now. In 35 years' time, the ratio of his age to his elder brother's age will be 3:4. How old is Kumar now
years old
Answer:_______________
7)
Moorthi is as old as his teacher now. In 15 years' time, the ratio of his age to his teacher's age will be 2:3. How old is Moorthi now
years old
Answer:_______________
8)
Kumar is as old as his neighbour now. In 24 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Kumar now
years old
Answer:_______________
9)
Pugal 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 Pugal now
years old
Answer:_______________
10)
Selvan is 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 Selvan now
years old
Answer:_______________
1)
Aravindh is as old as his elder brother now. In 35 years' time, the ratio of his age to his elder brother's age will be 3:4. How old is Aravindh now
Answer: 7 years old
SOLUTION 1 :
Present
Aravindh
:
Elder brother
:
Difference
1
:
3
:
2
35 years' times
Aravindh
:
Elder brother
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
Step 1:
6 units - 1 unit
= 5 units
Step 2:
5 units
= 35
1 unit
= 35 ÷ 5
= 7 years' old
2)
Chidambaram is 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 Chidambaram now
Answer: 39 years old
SOLUTION 1 :
Present
Chidambaram
:
Teacher
:
Difference
3
:
5
:
2
13 years' time
Chidambaram
:
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
3)
Raj 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 Raj now
Answer: 9 years old
SOLUTION 1 :
Present
Raj
:
Neighbour
:
Difference
3
:
5
:
2
9 years' time
Raj
:
Neighbour
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
Step 1:
6 units - 3 units
= 3 units
3 units
= 9 years' old
4)
Kalai 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 Kalai now
Answer: 7 years old
SOLUTION 1 :
Present
Kalai
:
Cousin
:
Difference
1
:
3
:
2
21 years' time
Kalai
:
Cousin
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= 21
1 unit
= 21 ÷ 3
= 7 years' old
5)
Prem is 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 Prem now
Answer: 3 years old
SOLUTION 1 :
Present
Prem
:
Elder sis
:
Difference
1
:
3
:
2
21 years' time
Prem
:
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)
Kumar is as old as his elder brother now. In 35 years' time, the ratio of his age to his elder brother's age will be 3:4. How old is Kumar now
Answer: 7 years old
SOLUTION 1 :
Present
Kumar
:
Elder brother
:
Difference
1
:
3
:
2
35 years' times
Kumar
:
Elder brother
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
Step 1:
6 units - 1 unit
= 5 units
Step 2:
5 units
= 35
1 unit
= 35 ÷ 5
= 7 years' old
7)
Moorthi is as old as his teacher now. In 15 years' time, the ratio of his age to his teacher's age will be 2:3. How old is Moorthi now
Answer: 45 years old
SOLUTION 1 :
Present
Moorthi
:
Teacher
:
Difference
3
:
5
:
2
15 years' time
Moorthi
:
Teacher
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
Step 1:
4 units - 3 units
= 1 unit
Step 2:
1 unit
= 15
3 units
= 3 x 15
= 45 years' old
8)
Kumar is as old as his neighbour now. In 24 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Kumar now
Answer: 24 years old
SOLUTION 1 :
Present
Kumar
:
Neighbour
:
Difference
3
:
5
:
2
24 years' time
Kumar
:
Neighbour
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
Step 1:
6 units - 3 units
= 3 units
3 units
= 24 years' old
9)
Pugal 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 Pugal now
Answer: 5 years old
SOLUTION 1 :
Present
Pugal
:
Cousin
:
Difference
1
:
3
:
2
15 years' time
Pugal
:
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
10)
Selvan is 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 Selvan now