GATE Questions

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Let number of pages in a book = p

According to questions

p - [3p/7 + (2/5 x 4p/7)] = 36

= p - 23p/35 = 36

=> 12p = 36 × 35

p = 105

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

Let N be the required number. 

=> 60100x27x34xN=2664  

=> N = 2664x2x7x5/9  

=> N = 20720.

Udaipur, a city in the state of Rajasthan which was named after the Maharana Udai Singh - II, is known for its beautiful artificial lakes around the city and lavish royal residences.

Thus, Udaipur nickname is City of Lakes in India.

The carbon arc lamp was the first widely-used type of electric light and the first commercially successful form of electric lamp.

Here are the Carbon Arc Lamp Uses :

-Super bright light, capable of lighting a large length of street or a large factory interior.

-Was the ONLY electric light available to light large areas from 1800 - 1901.

-Was cheaper to light streets with the arc lamp than gas or oil lamps.

We know that, in solids all the particles are packed together and hence sound can travel from one to one very fast.

Hence, speed of sound is maximum in solids and decreses from solids to liquids and liquids to gases. Sound can't travel through vaccum.

Relegate means Assigning an inferior rank or position to. That means, downgrading or pulling down, lower a person.

All other options have words with opposite in meaning.

Hence, Relegate is an English word which is similar in meaning to Downgrade.

We know that:

When one card is drawn from a pack of 52 cards

The numbers of possible outcomes n(s) = 52

We know that there are 26 red cards in the pack of 52 cards
⇒ The numbers of favorable outcomes n(E) = 26

Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S)

∴ required probability = 26/52 = 1/2.