What is the value of a so that the seven-digit number 4645a52 is divisible by 72?
To find a so that 4645a52 is divisible by 72, check both conditions: 1. Divisibility by 8: Last three digits a52 must be divisible by 8. =052 (divisible by 8) =152 (not divisible by 8) =252 (not divisible by 8) =352 (divisible by 8) 2. Divisibility by 9: The sum of digits 26 + a must be divisible by 9. =26+0=26 (not divisible by 9) =26+1=27 (divisible by 9) =26+2=28 (not divisible by 9) =26+3=29 (not divisible by 9) so,a =1.
Statement: U < V ≤ W; X < Y ≤ W; W > R
Conclusion: I. R ≤ X II. X > R
Statements: A ≥ B > C ≥ D < E < F < G
Conclusions: I. A > D II. G > C
...Statements: N $ Q, Q @ M, M % S, S % T
Conclusions : I. S # Q II. S & Q III. M & T
...Statements: U = V ≤ W > Q ≥ N; B < Q; E = W
Conclusion: I. E > Q II. W > B
...Statements: J % K, K & A, A $ K, K # B
Conclusions: I. J & A II. A # B
...Statements: P > R = S; T > S > U; Q < U = V
Conclusions:
I. Q < P
II. T > V
III. R ≥ V
16. Statements:
J ≥ F = P; F > S ≥ A; S ≥ B < C
Conclusions:
I. C > A
II. B < J
Statements: X ≥ W > O = F ≥ B ≥ J; M < A ≤ J
Conclusions:
I. M < B
II. O ≥ A
III. O < A
...Statement: C > B > T < J > D > M < Z
Conclusion: I. C > M II. C > Z
Statements: Q $ W, W % E, E @ K
Conclusions: a) Q $ K b) W @ K
