Question
Sum of the two numbers is 81 and their HCF and LCM are 9
and 180, respectively. Find the sum of reciprocal of the given two numbers.Solution
Let the two numbers be '9a' and '9b', where 'a' and 'b' are co-prime numbers. 9a + 9b = 81 Or, 9 X (a + b) = 81 Or, a + b = (81/9) So, a + b = 9 We know that product of two numbers = HCF of the two numbers X LCM of the two numbers Or, 9a X 9b = 9 X 180 Or, ab = (9 X 180)/(9 X 9) = 20 therefore, sum of reciprocals = (a+b)/(9ab) = 9/180 = 1/20 Hence, option c.
Statements: R < D = G ≤ S = X ≤ B, B > M ≥ V
Conclusions:
I. B ≥ D
II. S > V
III. M < G
Statements: C = A ≤ H < K ≥ L = Q; S = T ≥ K
Conclusion: I. C < T II. A = S
Statements:
A = C > E = F > D; Y < Z ≤ F
Conclusions:
I. E > Z
II. D ˃ Y
Statements: H ≥ R, T < L, R ≥ T, L < N > I
Conclusion:
I. R > I
II. N ≥ T
Statements:  T < U = S ≤  O, C > Y ≥ X, T > K = XÂ
Conclusions
I. O > K
II. C < T
III. U > K
ÂStatements: P % Q, P $ R, Q # S, R @ T
Conclusions:
I. R $ QÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
II. S & T       �...
Which of the following symbols should replace (1) and (2), respectively in the given expression in order to make the expression R < H definitely true?
Statements: A > Y = D > Q, M ≤ B > P > Y
Conclusion:
I. Y ≤ M
II. B > QÂ Â
Statements: G > I = H ≥ J ≥ L, H = M ≤ N < K
Conclusions:
I. G > M
II. N ≥ L
III. K > I
Statements: M * T, D % T, D # K, K $ R
Conclusions: I. M * DÂ Â Â Â Â II. T # KÂ 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 Â Â II...