Scroll:Ratio >> External Transfer >> ps (3065)

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)  

In an office, there were 25 as many male workers as female workers. After a retrenchment exercise, 33 workers were retrenched. The ratio of female workers to male workers becomes 2:3. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the office.


Answer:_______________




2)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 23 workers were retrenched. The ratio of female workers to male workers becomes 3:7. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.


Answer:_______________




3)  

In a factory, there were 25 as many male workers as female workers. After a retrenchment exercise, 126 workers were retrenched. The ratio of female workers to male workers becomes 3:4. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.


Answer:_______________




4)  

In a telecom headquarter, there were 35 as many male workers as female workers. After a retrenchment exercise, 110 workers were retrenched. The ratio of female workers to male workers becomes 3:2. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the telecom headquarter.


Answer:_______________




5)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 46 workers were retrenched. The ratio of female workers to male workers becomes 3:7. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.


Answer:_______________




6)  

In a warehouse, there were 34 as many male workers as female workers. After a retrenchment exercise, 77 workers were retrenched. The ratio of female workers to male workers becomes 3:4. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the warehouse.


Answer:_______________




7)  

In an office, there were 25 as many male workers as female workers. After a retrenchment exercise, 143 workers were retrenched. The ratio of female workers to male workers becomes 2:3. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the office.


Answer:_______________




8)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 46 workers were retrenched. The ratio of female workers to male workers becomes 3:7. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.


Answer:_______________




9)  

In a factory, there were 25 as many male workers as female workers. After a retrenchment exercise, 49 workers were retrenched. The ratio of female workers to male workers becomes 3:4. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.


Answer:_______________




10)  

In a telecom headquarter, there were 35 as many male workers as female workers. After a retrenchment exercise, 112 workers were retrenched. The ratio of female workers to male workers becomes 3:2. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the telecom headquarter.


Answer:_______________




 

1)  

In an office, there were 25 as many male workers as female workers. After a retrenchment exercise, 33 workers were retrenched. The ratio of female workers to male workers becomes 2:3. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the office.

Answer: 18


SOLUTION 1 :
Before
Male
 : Female
2 : 5
6 : 15
 
After
Male
 : Female
3 : 2
6 : 4

 

Step 1:  15 units - 4 units  = 11 units
Step 2: 11 units  = 33
  1 unit  = 33 ÷ 11
    = 3
Step 3: 6 units  = 6 x 3
    = 18
     
     


2)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 23 workers were retrenched. The ratio of female workers to male workers becomes 3:7. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.

Answer: 28


SOLUTION 1 :
Before
Male
 : Female
4 : 5
28 : 35
 
After
Male
 : Female
7 : 3
28 : 12

 

Step 1:  35 units - 12 units  = 23 units
Step 2: 23 units  = 23
  1 unit  = 23 ÷ 23
    = 1
Step 3: 28 units  = 28 x 1
    = 28
     
     


3)  

In a factory, there were 25 as many male workers as female workers. After a retrenchment exercise, 126 workers were retrenched. The ratio of female workers to male workers becomes 3:4. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.

Answer: 72


SOLUTION 1 :
Before
Male
 : Female
2 : 5
4 : 10
 
After
Male
 : Female
4 : 3
     

 

Step 1:  10 units - 3 units  = 7 units
Step 2: 7 units  = 126
  1 unit  = 126 ÷ 7
    = 18
Step 3: 4 units  = 4 x 18
    = 72
     
     


4)  

In a telecom headquarter, there were 35 as many male workers as female workers. After a retrenchment exercise, 110 workers were retrenched. The ratio of female workers to male workers becomes 3:2. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the telecom headquarter.

Answer: 660


SOLUTION 1 :
Before
Male
 : Female
3 : 5
6 : 10
 
After
Male
 : Female
2 : 3
6 : 9

 

 

Step 1:  10 units - 9 units  = 1 unit
  1 unit  = 110
Step 2: 6 units  = 6 x 110
    = 660
     
     
     
     

 



5)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 46 workers were retrenched. The ratio of female workers to male workers becomes 3:7. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.

Answer: 56


SOLUTION 1 :
Before
Male
 : Female
4 : 5
28 : 35
 
After
Male
 : Female
7 : 3
28 : 12

 

Step 1:  35 units - 12 units  = 23 units
Step 2: 23 units  = 46
  1 unit = 46 ÷ 23
    = 2
Step 3: 28 units = 28 x 2
    = 56
     
     


6)  

In a warehouse, there were 34 as many male workers as female workers. After a retrenchment exercise, 77 workers were retrenched. The ratio of female workers to male workers becomes 3:4. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the warehouse.

Answer: 132


SOLUTION 1 :
Before
Male
 : Female
3 : 4
12 : 16
 
After
Male
 : Female
4 : 3
12 : 9

 

Step 1:  16 units - 9 units  = 7 units
Step 2: 7 units  = 77
  1 unit  = 77 ÷ 7
    = 11
Step 3: 12 units  = 12 x 11
    = 132
     
     


7)  

In an office, there were 25 as many male workers as female workers. After a retrenchment exercise, 143 workers were retrenched. The ratio of female workers to male workers becomes 2:3. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the office.

Answer: 78


SOLUTION 1 :
Before
Male
 : Female
2 : 5
6 : 15
 
After
Male
 : Female
3 : 2
6 : 4

 

Step 1:  15 units - 4 units  = 11 units
Step 2: 11 units  = 143
  1 unit  = 143 ÷ 11
    = 13
Step 3: 6 units  = 6 x 13
    = 78
     
     


8)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 46 workers were retrenched. The ratio of female workers to male workers becomes 3:7. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.

Answer: 56


SOLUTION 1 :
Before
Male
 : Female
4 : 5
28 : 35
 
After
Male
 : Female
7 : 3
28 : 12

 

Step 1:  35 units - 12 units  = 23 units
Step 2: 23 units  = 46
  1 unit  = 46 ÷ 23
    = 2
Step 3: 28 units  = 28 x 2
    = 56
     
     


9)  

In a factory, there were 25 as many male workers as female workers. After a retrenchment exercise, 49 workers were retrenched. The ratio of female workers to male workers becomes 3:4. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the factory.

Answer: 28


SOLUTION 1 :
Before
Male
 : Female
2 : 5
4 : 10
 
After
Male
 : Female
4 : 3
     

 

Step 1:  10 units - 3 units  = 7 units
Step 2: 7 units  = 49
  1 unit  = 49 ÷ 7
    = 7
Step 3: 4 units  = 4 x 7
    = 28
     
     


10)  

In a telecom headquarter, there were 35 as many male workers as female workers. After a retrenchment exercise, 112 workers were retrenched. The ratio of female workers to male workers becomes 3:2. 
Given that only female workers were retrenched during the retrenchment exercise, find the number of male workers in the telecom headquarter.

Answer: 672


SOLUTION 1 :
Before
Male
 : Female
3 : 5
6 : 10
 
After
Male
 : Female
2 : 3
6 : 9

 

 

Step 1:  10 units - 9 units  = 1 unit
  1 unit  = 112
Step 2: 6 units  = 6 x 112
    = 672