GATE Questions

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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.

Roger Federer was the tennis player who claims 100th ATP Association of tennis Professionals title of his career.

X = M < A < S = T < R
Conclusions:
For conclusion I - M < A < S = T - There is no relation between M and T.
I. M = T (false)
For conclusion II -
A < S = T < R
II. R > A (True) - R is greater than A.
Hence, only conclusion II follow.

Zoroastrianism is one of the world's oldest extant religions. It is the ancient pre-Islamic religion of Iran that survives there in isolated areas and, more prosperously, in India, where the descendants of Zoroastrian Iranian (Persian) immigrants are known as Parsis, or Parsees.

The Iranian prophet and religious reformer Zarathustra flourished before the 6th century BCE more widely known outside Iran as Zoroaster is traditionally regarded as the founder of the religion.

Zoroastrianism contains both monotheistic and dualistic features. It likely influenced the other major Western religions—Judaism, Christianity, and Islam.

Number of cards in a pack of cards = 52

Number of black cards = 26

Number of king cards = 4 (2 Red, 2 Black)

Required, the probability that if a card is drawn either card is black or a king = 

2652 + 452 = 3052 = 1526

Ans.
112 × 5 ÷ 14 = 11 + ?
112 × 5 ÷ 14 = 11 + ?
560 ÷ 14 = 11 + ?
40 = 11 + ?
? = 40 - 11 = 29