Scroll:Ratio >> Internal Transfer >> ps (3073)


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)  

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 21 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:_______________




2)  

Aravindh 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 45 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)  

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 34 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)  

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 2:4. 
On the second day, he fixed another 64 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:_______________




5)  

Selvanayaki 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 93 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:_______________




6)  

Ramani 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 91 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:_______________




7)  

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 27 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)  

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 26 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)  

Sriram 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 42 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:_______________




10)  

Kumutha 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 60 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:_______________




 

1)  

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 21 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: 120


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  = 21
  1 unit  = 21 ÷ 7
    = 3
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 3
    = 120
     


2)  

Aravindh 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 45 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: 525


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  = 45
  1 unit  = 45 ÷ 3
    = 15
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 15
    = 525
     


3)  

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 34 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: 765


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  = 34
  1 unit  = 34 ÷ 2
    = 17
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 17
    = 765
     


4)  

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 2:4. 
On the second day, he fixed another 64 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: 1536


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  = 64
  1 unit  = 64 ÷ 2
    = 32
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 32
    = 1536
     


5)  

Selvanayaki 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 93 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: 837


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  = 93
  1 unit  = 93 ÷ 3
    = 31
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 31
    = 837
     


6)  

Ramani 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 91 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: 520


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  = 91
  1 unit  = 91 ÷ 7
    = 13
Step 3: 8 units + 32 units  = 40 units
Step 4:  40 units  = 40 x 13
    = 520
     


7)  

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 27 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: 315


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  = 27
  1 unit  = 27 ÷ 3
    = 9
Step 3: 7 units + 28 units = 35 units
Step 4:  35 units = 35 x 9
    = 315
     


8)  

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 26 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: 585


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  = 26
  1 unit  = 26 ÷ 2
    = 13
Step 3: 18 units + 27 units  = 45 units
Step 4:  45 units  = 45 x 13
    = 585
     


9)  

Sriram 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 42 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: 1008


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  = 42
  1 unit  = 42 ÷ 2
    = 21
Step 3: 16 units + 32 units  = 48 units
Step 4:  48 units  = 48 x 21
    = 1008
     


10)  

Kumutha 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 60 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
1 : 2
9 : 18
 
After
Fixed
: Unfixed
4 : 5
12 : 15

 

Step 1:    12 units - 9 units  = 3 units
Step 2: 3 units  = 60
  1 unit  = 60 ÷ 3
    = 20
Step 3: 9 units + 18 units  = 27 units
Step 4:  27 units  = 27 x 20
    = 540