CAT Questions

---

Given word is THERAPY.

Number of letters in the given word = 7

Number of vowels in the given word = 2 = A & E

Required number of different ways, the letters of the word THERAPY arranged such that vowels always come together is

6! x 2! = 720 x 2 = 1440.

Let the missing numbers be x, y, a and b

x + y = 8 ---- (1)
a - b = 6 ---- (2)
x + a = 13 --- (3)
y + b = 8 ---- (4)

2x + a + y = 21 --- From (1 & 3)
a + y = 14 ----  From (2 & 4)

Substitute (2 & 4) in (1 & 3)

2x + 14 = 21
2x = 7
x = 3.5

From (1) ---> 3.5 + y = 8
=> y = 8 - 3.5 = 4.5

a + y = 14 => a = 14 - y = 14 - 4.5 => a = 9.5
From (4) ---- y + b = 8 => b = 8 - y = 8 - 4.5 = 3.5

Hence,
x = 3.5
y = 4.5
a = 9.5
b = 3.5

"Conservation of energy" refers to the fact that energy cannot be created or destroyed but can be converted from one form to another.

Conduction is the movement of heat through a substance by the collision of molecules. It occurs when two object at different temperatures are in contact with each other. Heat flows from the warmer to the cooler object until they are both at the same temperature.

The statement "A communist government is led by one political party" is what best defiines a communist government. Here in this type of government, the power is in the hands of the one political party and it only controls the political and economic systems of the country/state.

'provision' should replace 'provisional'.

A noun is required here and provisional is an adjective. Provision means supplies whereas provisional means temporary or contingent.

The first attempt in printing was made in England by William Caxton.

William Caxton was an English merchant, diplomat, and writer. He is thought to be the first person to introduce a printing press into England, in 1476, and as a printer was the first English retailer of printed books.