GATE Questions

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C.P. of 10 note books ⇒ 140 × 10 = 1400 Rs.
Profit on selling one pen ⇒ 50×200/100 = Rs 100
Number of pen required ⇒ 1400/100 = 14

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.

Expedite means to do an action or work to be completed quickly or sooner. The opposite of expedite means late, delay, hinder,...

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

Radiocarbon dating also referred to as carbon dating or carbon-14 dating is a method for determining the age of an object containing organic material by using the properties of radiocarbon, a radioactive isotope of carbon.

In DNA, adenine pairs with Thymine. Similarly, in RNA, due to absence of thymine in RNA and the same structure with uracil helps to pair with adenine.

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.