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
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P > O ≥ D > M ≤ Y < L; M > G > Q
Conclusions:
I)Â O > Q
II) L < G
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Conclusions:
I. B > H
II. I ≥ G
III. F > DIn the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...
If A = B, C ≥ D, A < D and  E > B , then which of the following conclusion is true?
Statement- 1 - 6# ≥ 9# ≥ 10# ≤ 5#
2 - 7* ≤ 10# ˃ 5* ≥ 6*
Conclusions:
1) 5# > 5*
2) 9# ˃ 6*
3) ...
Statements: E < F > G; H < I ≤ F; E > D
Conclusions:
I. F > D
II. H < E
III. G < D
Statements: Z % Y; X # W; U % V; W & V; Y @ X
Conclusions:Â Â Â Â Â
I. U @ X Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Which of the following symbols should replace the sign ($) and (*) respectively in the given expression in order to make the expression F ≥ J and P...
Statements: Q > W > X; J > W; Z < X < P
Conclusions:
I. P > Z
II. J > Q
III. W < P
