Question
Two numbers are in the ratio 4 : 5 and their least
common multiple (LCM) is 1800. What are the two numbers?Solution
ATQ, Let numbers be 4k and 5k (4 and 5 are coprime). LCM of 4k and 5k = 20k. Given 20k = 1800 ⇒ k = 90. Numbers are: 4 × 90 = 360 and 5 × 90 = 450. Correct option: C) 360 and 450
Statements:
B < C ≤ I = O; C ≥ J ≥ K ≥ N; Z ≤ M ≤ N
Conclusions:
I) O > Z
II) O = Z
...Statements: A > Y = D > Q, M ≤ B > P > Y
Conclusion:
I. Y ≤ M
II. B > QÂ Â
Statements:
M < K ≤ G ≤ Z; P = J > Z; I ≥ R > P;
Conclusions:
I. K ≤ P
II. M < R
Statements: I = E ≥ A; L ≥ K ≥ B ≥ M ≥ E
Conclusions:
I. B ≥ I
II. I < L
III. K ≥ A
Statements:
S = K ≥ A ≥ X; Y < K = E ≤ U < Z
Conclusion:
I. X = E
II. K > X
Statement: J > K; N < O ≤ L; N ≥ M > K
Conclusion:
I. N ≥ J
II. K < L
Statements: P ≥ Q > R, S ≤ R, T = W ≥ R
Conclusions:
I. T ≥ S
II. Q < W
Statements:
Z > N ≥ B = J ≤ M; Y ≥ U > N ≥ P
Conclusions:
I). P ≤ Z
II). M > Y
...Statements: M ≤ N; O < R; O = N; S ≥ Q; N > S
Conclusions:
(i) Q < M
(ii) N ≥ Q
(iii) M > R
Statements:
P > Q ≥ M ≤ N; Y ≥ Z ≥ A = P
Conclusion:
I. Y > N
II. N ≥ Y