Bank PO Questions

Unit digit of this expression is always 1 as the base ends with 1. 

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

Therefore, last two digits of 2151415 is 51.

Glass snake is a lizard.

The first women Prime Minister of India is Indira Gandhi.

Following the death of Indian Prime Minister Lal Bahadur Shastri, Indira Gandhi becomes head of the Congress Party and thus prime minister of India in the year 1966 until her death in 1984.

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.

A = P + Prt

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.

Let the total applicants be 100

Then, 20% got 85 marks

i.e 20 x 85 = 1700

and 25% got 95 marks

 i.e 25 x 95 = 2375

Now, the remaining applicants are 55 and let the average marks scored by them be x.

Therefore, 2375 + 1700 + 55x  =  60×100 

6000 - 4075 = 55x

55x=1925

x=35.

Given length of the rectangle = 3 cm

Breadth of the rectangle = 4 cm

Then, the diagonal of the rectangle D = 32 + 42 = 25 = 5

Then, it implies side of square = 5 cm

We know that Area of square = S x S = 5 x 5 = 25 sq.cm.