CAT Questions

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Compounding frequency :

The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year.

The greater the compounding frequency, the more often your interest is calculated and added back into your account.

The World Environment Day (WED) is observed every year on June 5 to raise awareness about forests and wider issues of environmental protection. The 2017 theme is ‘Connecting People to Nature’. It implores us to get outdoors and into nature, to appreciate its beauty and to take forward the call to protect the Earth that we share. The host country for the WED 2017 is Canada, where the official celebrations take place.

Given Prabhas is twice as good a workman as Rana.

Prabhas finishes the work in 3 hrs

=> Rana finishes the work in 6 hrs.

Number of hours required together they could finish the work

= 3 x 6 / 3 + 6

= 18/9

= 2 hrs.

Here to say which fraction is greater from the given options, the fraction with greater numerator with same denominator or smaller denominator with same numerator.

To find the greater fraction, among the given options, make the denominators same for the options by finding the LCM of all the denominators.

7/12, 9/16, 13/20, 32/80

Now, LCM of 12, 16, 20, 80 = 240.

Then,

140/240, 135/240, 156/240, 96/240

Here 

$$\begin{gathered} 156240 > 140240 > 135240 > 96240 \\ => 1320 > 712 > 916 > 3280 \end{gathered}$$

Hence, largest fraction = 13/20.

Let 's' be the number of small packets and 'b' the number of large packets sold on that day.

Therefore, s + b = 5000 ... eqn (1)

Each small packet was sold for Rs.150.
Therefore, 's' small packets would have fetched Rs.150s.

Each large packets was sold for Rs.250.
Therefore, 'b' large packets would have fetched Rs.250b.

Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)

Or 150s + 250b = 10,50,000 ... eqn (2)

Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)

Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
Or b = 3000

We know that s + b = 5000
So, s = 5000 - b = 5000 - 3000 = 2000.

2000 small packets were sold.

The International Trade Centre (ITC) has celebrated the first-ever International MSME Day on June 27, 2017 with theme ‘Small business – big impact’. The purpose of the day is to raise public awareness about the importance of MSMEs to economic growth and international development. The Micro, Small and Medium Enterprises (MSME) Day highlights the strong contribution of MSMEs worldwide to livelihoods, communities and economies and the need to support MSMEs towards their success. The ITC is the joint agency of the UN and the WTO supporting SMEs in developing countries and transition economies for sustainable and inclusive trade.

5% of 40,000  = 5100 × 40,000 = 5 × 400 = 2,000  

Hence, 5% of 40,000 = 2,000.