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)
Barathan 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 Barathan now
years old
Answer:_______________
2)
Narayanan 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 Narayanan now
years old
Answer:_______________
3)
Aravindh 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 Aravindh now
years old
Answer:_______________
4)
Murugan 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 Murugan now
years old
Answer:_______________
5)
Narayanan is as old as his neighbour now. In 18 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Narayanan now
years old
Answer:_______________
6)
Narayanan 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 Narayanan now
years old
Answer:_______________
7)
Sriram 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 Sriram now
years old
Answer:_______________
8)
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:_______________
9)
Raj is as old as his teacher now. In 11 years' time, the ratio of his age to his teacher's age will be 2:3. How old is Raj now
years old
Answer:_______________
10)
Prem 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 Prem now
years old
Answer:_______________
1)
Barathan 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 Barathan now
Answer: 7 years old
SOLUTION 1 :
Present
Barathan
:
Elder brother
:
Difference
1
:
3
:
2
35 years' times
Barathan
:
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)
Narayanan 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 Narayanan now
Answer: 7 years old
SOLUTION 1 :
Present
Narayanan
:
Cousin
:
Difference
1
:
3
:
2
21 years' time
Narayanan
:
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
3)
Aravindh 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 Aravindh now
Answer: 5 years old
SOLUTION 1 :
Present
Aravindh
:
Elder sis
:
Difference
1
:
3
:
2
35 years' time
Aravindh
:
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
4)
Murugan 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 Murugan now
Answer: 45 years old
SOLUTION 1 :
Present
Murugan
:
Teacher
:
Difference
3
:
5
:
2
15 years' time
Murugan
:
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
5)
Narayanan is as old as his neighbour now. In 18 years' time, the ratio of his age to his neighbour's age will be 3:4. How old is Narayanan now
Answer: 18 years old
SOLUTION 1 :
Present
Narayanan
:
Neighbour
:
Difference
3
:
5
:
2
18 years' time
Narayanan
:
Neighbour
:
Difference
3x2
:
4x2
:
1x2
6
:
8
:
2
Step 1:
6 units - 3 units
= 3 units
3 units
= 18 years' old
6)
Narayanan 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 Narayanan now
Answer: 7 years old
SOLUTION 1 :
Present
Narayanan
:
Elder brother
:
Difference
1
:
3
:
2
35 years' times
Narayanan
:
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)
Sriram 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 Sriram now
Answer: 7 years old
SOLUTION 1 :
Present
Sriram
:
Cousin
:
Difference
1
:
3
:
2
21 years' time
Sriram
:
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
8)
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
9)
Raj is as old as his teacher now. In 11 years' time, the ratio of his age to his teacher's age will be 2:3. How old is Raj now
Answer: 33 years old
SOLUTION 1 :
Present
Raj
:
Teacher
:
Difference
3
:
5
:
2
11 years' time
Raj
:
Teacher
:
Difference
2x2
:
3x2
:
1x2
4
:
6
:
2
Step 1:
4 units - 3 units
= 1 unit
Step 2:
1 unit
= 11
3 units
= 3 x 11
= 33 years' old
10)
Prem 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 Prem now