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)
Raj 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 Raj now
years old
Answer:_______________
2)
Murugan 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 Murugan now
years old
Answer:_______________
3)
Kalai 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 Kalai now
years old
Answer:_______________
4)
Pugal 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 Pugal now
years old
Answer:_______________
5)
Chidambaram is as old as his neighbour now. In 12 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Chidambaram now
years old
Answer:_______________
6)
Narayanan 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 Narayanan now
years old
Answer:_______________
7)
Kumar is as old as his cousin now. In 12 years' time, the ratio of his age to his cousin's age will be 2:3. How old is Kumar now
years old
Answer:_______________
8)
Raj 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 Raj now
years old
Answer:_______________
9)
Moorthi 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 Moorthi now
years old
Answer:_______________
10)
Kalai is as old as his neighbour now. In 12 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Kalai now
years old
Answer:_______________
1)
Raj 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 Raj now
Answer: 42 years old
SOLUTION 1 :
Present
Raj
:
Teacher
:
Difference
3
:
5
:
2
14 years' time
Raj
:
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
2)
Murugan 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 Murugan now
Answer: 5 years old
SOLUTION 1 :
Present
Murugan
:
Cousin
:
Difference
1
:
3
:
2
15 years' time
Murugan
:
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
3)
Kalai 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 Kalai now
Answer: 5 years old
SOLUTION 1 :
Present
Kalai
:
Elder brother
:
Difference
1
:
3
:
2
25 years' times
Kalai
:
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
4)
Pugal 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 Pugal now
Answer: 3 years old
SOLUTION 1 :
Present
Pugal
:
Elder sis
:
Difference
1
:
3
:
2
21 years' time
Pugal
:
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
5)
Chidambaram is as old as his neighbour now. In 12 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Chidambaram now
Answer: 12 years old
SOLUTION 1 :
Present
Chidambaram
:
Neighbour
:
Difference
3
:
5
:
2
12 years' time
Chidambaram
:
Neighbour
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
Step 1:
6 units - 3 units
= 3 units
3 units
= 12 years' old
6)
Narayanan 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 Narayanan now
Answer: 42 years old
SOLUTION 1 :
Present
Narayanan
:
Teacher
:
Difference
3
:
5
:
2
14 years' time
Narayanan
:
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
7)
Kumar is as old as his cousin now. In 12 years' time, the ratio of his age to his cousin's age will be 2:3. How old is Kumar now
Answer: 4 years old
SOLUTION 1 :
Present
Kumar
:
Cousin
:
Difference
1
:
3
:
2
12 years' time
Kumar
:
Cousin
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
Step 1:
4 units - 1 unit
= 3 units
Step 2:
3 units
= 12
1 unit
= 12 ÷ 3
= 4 years' old
8)
Raj 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 Raj now
Answer: 7 years old
SOLUTION 1 :
Present
Raj
:
Elder brother
:
Difference
1
:
3
:
2
35 years' times
Raj
:
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
9)
Moorthi 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 Moorthi now
Answer: 5 years old
SOLUTION 1 :
Present
Moorthi
:
Elder sis
:
Difference
1
:
3
:
2
35 years' time
Moorthi
:
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
10)
Kalai is as old as his neighbour now. In 12 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Kalai now