The given table shows the number of clerical and officer cadre employees recruited by four different banks A, B, C and D from 2011 to 2014.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1748626451/aptidude_questions/ter5tkxekitmbsnmuzfp.png)

Compute the ratio of the number of officer cadre employees of bank A to the number of officer cadre employees of bank C.

Question

The given table shows the number of clerical and officer cadre employees recruited by four different banks A, B, C and D from 2011 to 2014.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1748626451/aptidude_questions/ter5tkxekitmbsnmuzfp.png)

Compute the ratio of the number of officer cadre employees of bank A to the number of officer cadre employees of bank C.

Accepted Answer

Step 1: Sum the number of officer cadre employees for bank A from 2011 to 2014:  
2011: 260  
2012: 310  
2013: 350  
2014: 400  
Total for A = 260 + 310 + 350 + 400 = 1320

Step 2: Sum the number of officer cadre employees for bank C from 2011 to 2014:  
2011: 205  
2012: 230  
2013: 340  
2014: 380  
Total for C = 205 + 230 + 340 + 380 = 1155

Step 3: Calculate the ratio of total officers of bank A to bank C:  
Ratio = 1320 : 1155

Step 4: Simplify the ratio by dividing both terms by their greatest common divisor (GCD).  
GCD of 1320 and 1155 is 165.

1320 ÷ 165 = 8  
1155 ÷ 165 = 7

Therefore, the simplified ratio is 8 : 7.

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