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 a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 92 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:_______________




2)  

In an office, there were 25 as many male workers as female workers. After a retrenchment exercise, 22 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:_______________




3)  

In a telecom headquarter, there were 35 as many male workers as female workers. After a retrenchment exercise, 135 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:_______________




4)  

In a warehouse, there were 34 as many male workers as female workers. After a retrenchment exercise, 98 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:_______________




5)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 69 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 factory, there were 25 as many male workers as female workers. After a retrenchment exercise, 133 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:_______________




7)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 69 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:_______________




8)  

In an office, there were 25 as many male workers as female workers. After a retrenchment exercise, 66 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:_______________




9)  

In a telecom headquarter, there were 35 as many male workers as female workers. After a retrenchment exercise, 26 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:_______________




10)  

In a warehouse, there were 34 as many male workers as female workers. After a retrenchment exercise, 133 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:_______________




 

1)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 92 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: 112


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  = 92
  1 unit  = 92 ÷ 23
    = 4
Step 3: 28 units  = 28 x 4
    = 112
     
     


2)  

In an office, there were 25 as many male workers as female workers. After a retrenchment exercise, 22 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: 12


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  = 22
  1 unit  = 22 ÷ 11
    = 2
Step 3: 6 units  = 6 x 2
    = 12
     
     


3)  

In a telecom headquarter, there were 35 as many male workers as female workers. After a retrenchment exercise, 135 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: 810


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  = 135
Step 2: 6 units  = 6 x 135
    = 810
     
     
     
     

 



4)  

In a warehouse, there were 34 as many male workers as female workers. After a retrenchment exercise, 98 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: 168


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  = 98
  1 unit  = 98 ÷ 7
    = 14
Step 3: 12 units  = 12 x 14
    = 168
     
     


5)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 69 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: 84


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  = 69
  1 unit = 69 ÷ 23
    = 3
Step 3: 28 units = 28 x 3
    = 84
     
     


6)  

In a factory, there were 25 as many male workers as female workers. After a retrenchment exercise, 133 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: 76


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  = 133
  1 unit  = 133 ÷ 7
    = 19
Step 3: 4 units  = 4 x 19
    = 76
     
     


7)  

In a factory, there were 45 as many male workers as female workers. After a retrenchment exercise, 69 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: 84


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  = 69
  1 unit  = 69 ÷ 23
    = 3
Step 3: 28 units  = 28 x 3
    = 84
     
     


8)  

In an office, there were 25 as many male workers as female workers. After a retrenchment exercise, 66 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: 36


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  = 66
  1 unit  = 66 ÷ 11
    = 6
Step 3: 6 units  = 6 x 6
    = 36
     
     


9)  

In a telecom headquarter, there were 35 as many male workers as female workers. After a retrenchment exercise, 26 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: 156


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  = 26
Step 2: 6 units  = 6 x 26
    = 156
     
     
     
     

 



10)  

In a warehouse, there were 34 as many male workers as female workers. After a retrenchment exercise, 133 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: 228


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  = 133
  1 unit  = 133 ÷ 7
    = 19
Step 3: 12 units  = 12 x 19
    = 228