CAT Questions

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The researchers at IIT Kharagpur have developed a new technology to manufacture cheaper, quicker and pollution-free bio-fuel. The ‘soil-to-soil’ manufacturing technology developed at the P K Sinha Centre for bio-energy at IIT-KGP is in the process of being patented. The technique will ensure relatively quicker production of bio-fuel and the process is completely green. The green leafy part of corn and sugarcane plants, the waste part of paddy straw, bamboo, banana plant, pineapple and cotton plants, kans grass (kassh phool), castor plant and even non-edible weeds that grow in dry and waste land and a mix of all has been used by IIT-KGP to produce bio fuel. The project is funded by the Ministry of Petroleum and Natural Gas, Department of Science and Technology and the Ministry of Human Resource Development.

We know that, 

The area of a triangle with two sides given and included angle

A = 1/2 x product of sides x Sin(angle) 

Here the two sides are 8 & 12

Angle = 150

Area = 1/2 x 8 x 12 x sin150

Sin(150) = sin(90+60) = cos(60) = 1/2

A = 48 x 1/2 = 24

Area of the given triangle = 24 sq units.

The planet Jupiter is known as "Bright Wandering Star".

Given that to find 15 of 80

=> What % of 80 is 15

Let it be 'p'

=> p% of 80 = 15

=> $$\begin{gathered} p x 80100 = 15 \\ ⇒p = 15 x 10080 \\ ⇒p = 150080 = 18.75 \end{gathered}$$

Therefore, 15 is 18.75% of 80 => 18.75% of 80 = 15

Example::

Now, in the similar way we can find 15% of 80 =?

=> 15x80/100 = p

=> p = 4 x 3 = 12

Therefore, 15% of 80 = 12

Luanda, the capital of Angola, has topped the list of most expensive cities for expatriates, according to Mercer’s 23rd annual Cost of Living Survey. Hong Kong has acquired 2nd position, followed by Tokyo, Zurich, Singapore, Seoul and Geneva. From India, Mumbai is the most expensive city for expatriates that has ranked 57th on the list, followed by New Delhi (99), Chennai (135), Bangalore (166) and Kolkata (184). The Mercer’s survey includes 209 cities across five continents. The world’s least expensive cities for expatriates, according to Mercer’s survey, are Tunis (209), Bishkek (208) and Skopje (206). Mercer’s authoritative survey is one of the world’s most comprehensive, and is designed to help multinational companies and governments determine compensation allowances for their expatriate employees.

We know, 

S.I = PTR/100 where P = principal amount, T = time, R = rate of interest

Here in the given data,

Interest for two years S.I = 924 - 812 = Rs. 112

Now, Principal amount P = 812 - 112 = Rs. 700 

Now,

R = S.I x 100/PT

R = 112 x 100/700 x 2

R = 11200/1400

R = 8%

Hence, the rate of interest R = 8%.

Quarter of Kg means 250 gm

Less weight, less price (Direct Proportion)

So,

250 : 200 :: 60 : x => x = 48

So 200 gm will cost 48 paise.