Question
Find the largest four-digit number which when divided
by 5, 7, 9, and 12, leaves a remainder 2, 4, 6, and 9 respectively.Solution
Here we can see that the difference (3) between numbers and remainder is same along all four numbers. 5 = 5¹
7 = 7¹
9 = 3²
12 = 2² × 3¹ LCM of (5, 7, 9, 12) = 2² × 3² × 5 × 7
= 4 × 9 × 5 × 7
= 1260 Largest four-digit number which is a multiple of 1260 = 8,820 So, the required number = 8820 − 3 = 8,817
Statement: A ≥ B ≥ C = D > E, F > G = H ≤ CÂ
Conclusion: I. C ≥ F                         II. F > D
...Statements: A @ B, B # C, C % D
Conclusions: a) A # CÂ Â Â Â Â b) A @ DÂ
Statement:Â C < P > T = E < R; G > R > A < D
Conclusions:
I. T < G
II. G ≥ P
III. T > A
Statement: J < L; J ≥ H > K; L ≥ F > M
Conclusion:
I. K ≥ L
II. F ≥ J
Which of the following symbols should replace the sign (@) respectively in the given expression in order to make the expression Y ≥ Z and D > K defin...
Statements: T @ A % S $ L © JÂ
Conclusions:Â
 I. T % LÂ
II. T $ LÂ
III. S # J
Statements: E < F > G; H < I ≤ F; E > D
Conclusions:
I. F > D
II. H < E
III. G < D
In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statemen...
Statements: F ≤ G < H; F ≥ I < J; I > K ≥ L
Conclusions:
I. I ≤ G
II. J ≥ L
III. I > H
Statements: Y ≥ Q ≥ P = T; T ≤ H < O; O > I
Conclusions:
I. P ≥ O
II. I > P
III. T < Y