CAT Questions

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circumference of A = 2πr = 8 => so r = 4π
volume = π×4π2×10 = 160π
circumference of B = 2πr   = 10 => so r = 5π
volume = π×5π2×8 =  200π
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

RNA is not a lipid among the given options.

A lipid is a substance of biological origin that is soluble in nonpolar solvents. It comprises a group of naturally occurring molecules that include fats, waxes, sterols, fat-soluble vitamins (such as vitamins A, D, E, and K), monoglycerides, diglycerides, triglycerides, and phospholipids.

Telangana has introduced a logo for identifying vehicles driven by persons with hearing impairment and has become the first state in the country to do so. 

The logo was designed by city-based graphic designer Manikanta Annapragada who was the first person to obtain a driving licence under the ‘hearing impaired’ category in the country.

The logo consists of a hearing impaired mark along with text saying, “Driver is deaf — Please watch out”.

It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch.
In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches)
Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet.

That is 9,216 of those squares.

Total quantity of sugar = 45 + 30 = 75

Gain or loss can be calculated as

9.75 x 75 - (30 x 9 + 45 x 10)

= 731.25 - 720

= 11.25

Hence, in the overall transaction, Rishi got Rs. 11.25 gain.

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.

Let the two digits be x & y

From given data in the question, we get

x + y = 3(x - y)

x + y = 3x - 3y

=> 2x = 4y

x/y = 2/1

For having the 2:1, numbers satisfying are

12, 21, 24, 42, 36, 63, 48, 84

From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares.

Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.