Statements: E 1000 F 1225 G 112 H; I 216 J 1600 G ; K 187 L 1728 J
1000 is cube number. So, E > F
1225 is a square number as well as a multiple of 5. So, F = G
112 is a multiple of 7. So, G ≥ H
216 is a cube number. So, I > J
1600 is a square number as well as a multiple of 5. So, J = G
378 is a multiple of 7. So, K ≥ L
1728 is a cube number. So, L > J
E > F = G ≥ H; I > J = G ; K ≥ L > J
I: E 2197 J
2197 is a cube number. So, E > J
E > F = G = J
E > J. So, conclusion I is true.
II: H 1024 K
1024 is a square number. So, H < K
K ≥ L > J = G ≥ H
H < K. So, conclusion II is true.
III: F 1296 I
1296 is a square number. So, F < I
F = G = J < I
F < I. So, conclusion III is true.
Hence, all conclusions I, II and III follow.
Study Notes
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