Question
Quantity-I: 'Arjun' and 'Bheem'
are running on a circular track with a diameter of 'a' meters, at speeds of 25 m/s and 40 m/s, respectively. If they are moving in the same direction, determine the number of distinct points where they will meet. Quantity-II: Two different numbers have an LCM of 924 and an HCF of 11. Determine the total number of such possible pairs. In the question, two Quantities I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.Solution
ATQ, Quantity I: Ratio of speeds of 'Arjun' and 'Bheem' = 25:40 = 5:8 We know that when two people are racing on a circular track at 'x' m/s and 'y' m/s in same direction, the number of distinct meeting points will be |x - y|, where 'x' and 'y' are co-prime numbers. So, number of distinct meeting points = 8 - 5 = 3 So, Quantity I = 3 Quantity II: Let the two numbers be '11x' and '11y' where 'x' and 'y' are co-primes. So, 11x × 11y = 924 × 11 Or, xy = 84 So, xy = 84 = 22 × 3 × 7 If N = xp × yq X zr....., then, the number of ways of writing 'N' as a product of 2 co-primes is 2(n - 1), where 'n' is the number of distinct prime factors of the given number N. Number of ways in which 84 can be written as a product of two co-primes = 2 (3 - 1) = 4 So, Quantity II = 4 So, Quantity I < Quantity II
Statements:Q ≥ R,R < S,S < T
Conclusions: I. T > R II. Q ≥ T
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements : R < O ≤ P < Q; M < L ≤ N > O; S < Q ≤ K
Conclusions:
I. M < K
II. N > R
III. O < S
Which among the following symbols should replace the question mark [?] (in the same order from left to right) in the given expression in order to make b...
Statements:
E = F > Q = A > B; J < Z ≤ A
Conclusions:
I. Q > Z
II. B ˃ J
Statements:Â J @ R % S % B; S $ Y $ Z
Conclusions :         I. R % Z                II. J @ B         III...
Statements: H > S ≥ F = B ≤ U≤ T; E ≤ K ≤ B
Conclusions:I. U ≥ E II. S > T
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements: M % N, N & A, A @ B, B # C
Conclusions: I. C & AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M # B
...Statements: M ≤ N > O; P > M; Q < R < P
Conclusions:
I. M < P
II. O < P
