CAT Questions

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Let the numbers be p & q

q-p/4 = 4q/6

=> q-4q/6 = p/4

=> 2q/6 = p/4 

=> p/q = 4/3

We know that, ALpha and Omega are the first and last lettrs of in the Greek alphabet. Hence, alpha is to omega as first is to last.

Productivity is a result of the way that a business operates – the result of the way that its people, business processes, different functional units and suppliers come together to meet the needs and wants of its customers.

Productivity is the combination of intelligent planning and focused efforts and hence, it is a combination of Efficiency and Effectiveness.

Efficiency :

Efficiency is an internal measure of performance for companies that shows how well the company converts inputs into outputs. The more the ratio of outputs to inputs approaches 100 percent, the better the efficiency of the process will be. In simple terms, it is “doing things right” and comes from proper harnessing of time, cost and efforts.

Effectiveness :

Organizational effectiveness is an external measure of performance and indicates how well an organization fulfills the demands of various organizational stakeholders. Simply put, it is “doing the right things."

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

Given that,

Members in football team = n(f) = 10

Members in science club = n(s) = 14

Members in both football team and science club = n(f ^ s) = 5

Then, Members in only football team = n(F) = 10 - 5 = 5

Members in only science team = n(S) = 14 - 5 = 9

Hence, members in only football or science team = n(FUS) = n(F) + n(S) - n(f^s) 

= 9 + 5 - 5

= 9.

Hence, many students belong to only science club team or football team = 9.

A web page is located using a URL (Universal Resource Locator). Universal Resource Locator is also known as web address.

It basically refers to a web resource which is meant for the specification of its location on the network of computer. It is also a mechanism through which information can be retrieved.

we can assume that Amar join into business after x months. So Amar money was invest into  (12 – x ) months.

76000×1257000×(12-x)=21

--> 912000 = 114000 ( 12 – x ) = 114 ( 12 – x ) = 912

--> x = 4

After 4 months amar join the business.

One day work of 6 boys and 8 girls is given as 6b + 8g = 1/10 -------->(I)

One day work of 26 boys and 48 women is given as 26b + 48w = 1/2 -------->(II)

Divide both sides by 2 in (I) and then multiply both sides by 5

Now we get, 15b + 20g = 1/4.

Therefore, 15 boys and 20 girls can do the same work in 4 days.