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Written Instructions:

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 was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 2:4. 
On the second day, he fixed another 84 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of


Answer:_______________




2)  

Karna was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 1:4. 
On the second day, he fixed another 66 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 2:5.
How many pieces did the puzzle consist of


Answer:_______________




3)  

Nandini was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 2:3. 
On the second day, she fixed another 20 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of


Answer:_______________




4)  

Parveen was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:2. 
On the second day, she fixed another 33 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of


Answer:_______________




5)  

Nandini was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:4. 
On the second day, she fixed another 70 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of


Answer:_______________




6)  

Chidambaram was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 2:4. 
On the second day, he fixed another 94 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of


Answer:_______________




7)  

Barathan was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 1:4. 
On the second day, he fixed another 60 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 2:5.
How many pieces did the puzzle consist of


Answer:_______________




8)  

Haritha was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 2:3. 
On the second day, she fixed another 24 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of


Answer:_______________




9)  

Mithra was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:2. 
On the second day, she fixed another 84 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of


Answer:_______________




10)  

Amutha was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:4. 
On the second day, she fixed another 63 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of


Answer:_______________




 

1)  

Raj was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 2:4. 
On the second day, he fixed another 84 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of

Answer: 2016


SOLUTION 1 :
Before
Fixed
: Unfixed
2 : 4
16 : 32
 
After
Fixed
: Unfixed
3 : 5
18 : 30

 

Step 1:    18 units - 16 units  = 2 units
Step 2: 2 units  = 84
  1 unit  = 84 ÷ 2
    = 42
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 42
    = 2016
     


2)  

Karna was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 1:4. 
On the second day, he fixed another 66 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 2:5.
How many pieces did the puzzle consist of

Answer: 770


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 4
7 : 28
 
After
Fixed
: Unfixed
2 : 5
10 : 25

 

Step 1:    10 units - 7 units  = 3 units
Step 2: 3 units  = 66
  1 unit  = 66 ÷ 3
    = 22
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 22
    = 770
     


3)  

Nandini was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 2:3. 
On the second day, she fixed another 20 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of

Answer: 450


SOLUTION 1 :
Before
Fixed
: Unfixed
2 : 3
18 : 27
 
After
Fixed
: Unfixed
4 : 5
20 : 25

 

Step 1:    20 units - 18 units  = 2 units
Step 2: 2 units  = 20
  1 unit  = 20 ÷ 2
    = 10
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 10
    = 450
     


4)  

Parveen was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:2. 
On the second day, she fixed another 33 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of

Answer: 297


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 2
9 : 18
 
After
Fixed
: Unfixed
4 : 5
12 : 15

 

Step 1:    12 units - 9 units  = 3 units
Step 2: 3 units  = 33
  1 unit  = 33 ÷ 3
    = 11
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 11
    = 297
     


5)  

Nandini was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:4. 
On the second day, she fixed another 70 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of

Answer: 400


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 4
8 : 32
 
After
Fixed
: Unfixed
3 : 5
15 : 25

 

Step 1:    15 units - 8 units  = 7 units
Step 2: 7 units  = 70
  1 unit  = 70 ÷ 7
    = 10
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 10
    = 400
     


6)  

Chidambaram was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 2:4. 
On the second day, he fixed another 94 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of

Answer: 2256


SOLUTION 1 :
Before
Fixed
: Unfixed
2 : 4
16 : 32
 
After
Fixed
: Unfixed
3 : 5
18 : 30

 

Step 1:    18 units - 16 units  = 2 units
Step 2: 2 units  = 94
  1 unit  = 94 ÷ 2
    = 47
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 47
    = 2256
     


7)  

Barathan was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces he fixed to the number of pieces unfixed was 1:4. 
On the second day, he fixed another 60 pieces of the puzzle. As a result, the ratio of the number of pieces he fixed to the number of pieces unfixed became 2:5.
How many pieces did the puzzle consist of

Answer: 700


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 4
7 : 28
 
After
Fixed
: Unfixed
2 : 5
10 : 25

 

Step 1:    10 units - 7 units  = 3 units
Step 2: 3 units  = 60
  1 unit  = 60 ÷ 3
    = 20
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 20
    = 700
     


8)  

Haritha was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 2:3. 
On the second day, she fixed another 24 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of

Answer: 540


SOLUTION 1 :
Before
Fixed
: Unfixed
2 : 3
18 : 27
 
After
Fixed
: Unfixed
4 : 5
20 : 25

 

Step 1:    20 units - 18 units  = 2 units
Step 2: 2 units  = 24
  1 unit  = 24 ÷ 2
    = 12
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 12
    = 540
     


9)  

Mithra was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:2. 
On the second day, she fixed another 84 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 4:5.
How many pieces did the puzzle consist of

Answer: 756


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 2
9 : 18
 
After
Fixed
: Unfixed
4 : 5
12 : 15

 

Step 1:    12 units - 9 units  = 3 units
Step 2: 3 units  = 84
  1 unit  = 84 ÷ 3
    = 28
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 28
    = 756
     


10)  

Amutha was fixing a jigsaw puzzle. 
On the first day, the ratio of the number of pieces she fixed to the number of pieces unfixed was 1:4. 
On the second day, she fixed another 63 pieces of the puzzle. As a result, the ratio of the number of pieces she fixed to the number of pieces unfixed became 3:5.
How many pieces did the puzzle consist of

Answer: 360


SOLUTION 1 :
Before
Fixed
: Unfixed
1 : 4
8 : 32
 
After
Fixed
: Unfixed
3 : 5
15 : 25

 

Step 1:    15 units - 8 units  = 7 units
Step 2: 7 units  = 63
  1 unit  = 63 ÷ 7
    = 9
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 9
    = 360