GATE Questions

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Given, difference of the squares of two numbers is 180.

= k² - l² - 180

Also, square of the smaller number is 8 times the larger.

= l² = 8k

Thus, k² - 8a - 180 = 0

k² – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

Thus, the other number is

324 - 180 = l² 

→ Numbers are 12, 18 or -12, 18.

Alliteration is an example of Consonance. Consonance is the repetition of consonant sounds in words that are close to one another in a piece of text.

Example is "Peter Piper picked a peck of pickled peppers."

Whereas

Assonance is the repetition of vowel sounds, sometimes creating end rhymes.

Activation energy is a minimum amount of energy that required for the chemical reaction to happen or to take place.

We know that,

P.W = 100×T.D/R×T

= 100×168/14×2

P.W = 600.

Now, required Sum = (P.W. + T.D.)

= Rs. (600 + 168)

= Rs. 768.

The study of trees is called Dendrology.

Sound waves cannot travel through a Vacuum.

A vacuum is an area without any air, like space. So sound cannot travel through space because there is no matter for the vibrations to work in.

Tensional forces normally cause normal faults.