Question
Aman is forming pairs of two natural numbers, A and B,
such that their product equals 350. He wants to determine how many such pairs exist where A and B are co-prime. How many such pairs can be created? ÂSolution
Co-prime numbers are the ones whose HCF is 1. The possible number of pairs of ‘A’ and ‘B’, such that, ‘A’ and ‘B’ are co-prime = 2k – 1 Where, ‘k’ is the number of prime factors of the product. 350 = 21 × 52 × 71 So, the number of prime factors of 350 = k = 3 So, the possible number of pairs of ‘A’ and ‘B’, such that they are co-prime = 23 – 1 = 22 = 4
Select the most appropriate antonym of the given word.
TURBULENT
One who always looks at the brighter side
Stultify
In the following questions, a word is followed by four choices. Select the choice that is nearly most opposite in meaning to the given word.
ACQUIT
- Select the most appropriate option to substitute the underlined word in the given sentence.
The cost of living has risen so drastically in the last... amicable
Select the most appropriate option to substitute the bold segment in the given sentence.
Abu said that he saw the picture.
Someone who is a passionate advocate, promoter, or pioneer of a particular cause or beliefÂ
Apostate
Select the word which means the same as the group of words given.
Something causing shock or dismay
