A * B means, where '*' is a 1/2/3/4 digits number.
A * B means A is neither smaller than nor equal to B if '*' is a cube number means A >B
A * B means A is not greater than B if '*' is a multiple of 11 means A ≤ B
A * B means A is neither greater than nor equal to B if '*' is a square number means A < B
A * B means A is not smaller than B if '*' is a multiple of 7 means A ≥ B
A * B means A is neither greater than nor smaller than B if '*' is a square number as well as a multiple of 5. Means A=B
Statement: P 27 Q 35 R 100 S 88 T 81 U 225 V; W 42 X 400 S 144 Z 99 M ; M 625 N 132 O 576 L
P 27 Q
27 is a cube number. So, P > Q
Q 35 R
35 is multiple of 7. So, Q ≥ R
R 100 S
100 is a square number as well as a multiple of 5. So, R = S
S 88 T
88 is a multiple of 11. So, S ≤ T
T 81 U
81 is a square number. So, T < U
U 225 V
225 is a square number as well as a multiple of 5. So, U = V
W 42 X
42 is multiple of 7. So, W ≥ X
X 400 S
400 is a square number as well as a multiple of 5. So, X = S
S 144 Z
144 is a square number. So, S < Z
Z 99 M
99 is multiple of 11. So, Z ≤ M
M 625 N
625 is a square number as well as a multiple of 5. So, M = N
N 132 O
132 is a multiple of 11. So, N ≤ O
O 576 L
576 is a square number. So, O < L
P > Q ≥ R = S ≤ T < U = V; W ≥ X = S < Z ≤ M ; M = N ≤ O < L
P 8 X
8 is a cube number. So, P > X
P > Q ≥ R = S = X
P > X. So, this conclusion is true.
R 36 L
36 is a square number. So, R < L
R = S < Z ≤ M = N ≤ O < L
R < L. So, this conclusion is true.
O 84 Z
84 is a multiple of 7. So, O ≥ Z
O ≥ N = M ≥ Z
O ≥ Z. So, this conclusion is true.
X 169 V
169 is a square number. So, X < V
X = S ≤ T < U = V
X < V. So, this conclusion is true.
W 63 Q
63 is a multiple of 7. So, W ≥ Q
Q ≥ R = S = X ≤ W. This is false.
M 512 V
512 is a cube number. So, M > V
M ≥ Z > S ≤ T < U = V. This is false.
S 289 L
289 is a square number. So, S < L
S < Z ≤ M = N ≤ O < L
S < L. So, this conclusion is true.
Hence, five conclusions are true.
Study Notes
Category
