Question
How many whole numbers between 100 and 750 are multiples
of both 18 and 24?Solution
If a number is divisible by both 18 and 24, then it is divisible by L.C.M of 18 and 24 = 72 And, the required numbers will form an arithmetic progression So, First term (a) = 72 X 2 = 144 Common difference (d) = 72 Let required number of terms be 'n' We have, a + (n - 1)d = 720 (since 720 is the greatest multiple of 72 within the given range.) Or, 144 + 72(n - 1) = 720 Or, 144 + 72n - 72 = 720 Or, 72n = 648 So, n = (648/72) = 9
Statements: Q © E, S % C, E $ S, C @ AÂ
Conclusions:Â
I. A © CÂ
II. S % AÂ
III. C © Q
Statements: Â A % I, IÂ * Â Q, Q % R, R $ M
Conclusions :
I. Â M # I
II. M # Q
III. I # R
IV. Q % A
Statements: F > C > K; L < G < D; C ≥ H < D > I
Conclusions:
I. L < C
 II. K > I
III. F > H
Statement: A > B = C < D > E; F ≤ H < I; E > G > I
Conclusions:
I. D > F
II. F < G
III. B < G
Statements:Â Â Â Â Â Â A % B & Z % F; F # C & E; E @ P # D
Conclusions :Â Â Â Â Â I. C @ PÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. A % PÂ Â Â Â Â ...
Statements:
L ≥ M = N < P; O < Q ≥ R =S ≥ L
Conclusions:
I). Q > M
II). Q = N
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...
A statement is given, followed by two conclusions I and II. Decide which of the given conclusions is/are true based on the statement. Â
Statemen...
In the following question, a relationship between different elements is shown in the statements, followed by two conclusions I and II. Assuming the stat...
Statements:
Z > N ≥ B = J ≤ M; Y ≥ U > N ≥ P
Conclusions:
I). P ≤ Z
II). M > Y
...