GATE Questions

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NASA announced a Seven new system of Exoplanets, which are Earth-size, and could potentially hold life.These exoplanets are located outside of our solar system and orbit a star. NASA has named the system of planets after the ‘Transiting Planets and Planetesimals Small Telescope,’ which is located in Chile. This telescope first discovered three of the planets in this system in May 2016. Unlike Earth, which rotates on its axis, the planets are “tidally locked to the star.” This means that one side of the planet has only day, and one side has only night. It also means the weather conditions are unlike what we experience on Earth.

The number of letters in the given word RITUAL = 6

Then, 

Required number of different ways can the letters of the word 'RITUAL' be arranged = 6!

=> 6 x 5 x 4 x 3 x 2 x 1 = 720

Nachiket Mor Committee on Comprehensive Financial Services for Small Businesses and Low Income Households (commonly known as the Nachiket Mor Committee) was an expert committee formed by Raghuram Rajan on 23 September 2013, after he was appointed as the governor of the Reserve Bank of India (RBI). It was headed by Nachiket Mor.

In the given options,

12/49 can be written as 1/(49/12) = 1/4.083

7/30 can be written as 1/(30/7) = 1/4.285

13/56 can be written as 1/(56/13) = 1/4.307

11/46 can be written as 1/(46/11) = 1/4.1818

Here in the above,

1/4.083 has the smallest denominator and so 12/49 is the largest number or fraction.

Footsteps. 

Yes, as you walk forward, you will leave the footstep behind you.

For neutral atoms, the periodic trends in atomic size can be described like this

Atomic size decreases when going from left to right across a period,
Atomic size increases when going from top to bottom down a group.

Let's use these trends to try and figure out which atom would have the largest radius.

If you look at elements that are located in the same group, potassium will have a larger atomic radius when compared with sodium. Likewise, bromine will have a larger atomic radius when compared with chlorine.

Now focus on potassium and bromine. Since potassium is located at the start of period 3, and bromine at the end of the same period, potassium will have a larger atomic radius than bromine, and thus the largest atomic radius of the four given atoms.