GATE Questions

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Let 'M' be the maximum marks in the examination.

Therefore, Madhu got 32% of M = 32M/100 = 0.32M
And Kumar got 42% of M = 42M/100 = 0.42M.
In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1)

The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2)

Now, Equating (1) and (2), we get
0.1M = 24 => M = 24/0.1 = 240
'M' is the maximum mark and is equal to 240 marks.
We know that Madhu got 32% of the maximum marks.
Therefore, Madhu got 32 x 240/100 = 76.8 marks.
We also know that Madhu got 8 marks less than the cut-off marks.

Therefore, the cut-off marks will be 8 marks more than what Madhu got
= 76.8 + 8 = 84.8.

The U.S. e-commerce giant, Amazon has been awarded a patent for launching a giant flying warehouse that would acts as a launch pad for drones to deliver items within minutes.The patent reveals plans for setting up an “Airborne Fulfillment Center” (AFC) such as an Airship or Blimp, floating at an altitude of around 45,000 and stocked with lots of products especially in area where the demand for certain items is expected to be high. When a customer places an order, a drone or unmanned aerial vehicles (UAV) will fly down and deliver the package. The patent claims that this would require little or no power because the drone would be gliding down rather than having to take off and land.

Let the original Speed be "s" kmph
And the usual time be "t" hrs
Given that if the bus is running at 9s/10 kmph the time is 22 hrs
=> [9s/10] x 22 = t x s
=> 99/5 = t
=> t = 19.8 hrs

Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

Oligarchy is a form of government in which the power rests with the small group of people.

Answer 1) True

Answer 2) Cannot tell

Answer 3) True

Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4

According to the question,

Difference between square of the average of first two odd number and the of the average last

two odd numbers is 396

i.e, x+3 and x-3

$$\begin{gathered} ⇒x + 32 - x - 32 = 396 \\ ⇒ x2 + 9 + 6x - x2 + 6x - 9 = 396 \\ ⇒ 12x = 396 \\ ⇒ x = 33 \end{gathered}$$

Hence, the smallest odd number is 33 - 4 = 29.

DNA can be found in 3 Organelles namely Nucleus, Mitochondria in animals and Chloroplasts in plants.