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The perimeter of a rhombus is 40 cm and one of its diagonals is 12 cm. Find the area of the rhombus.
A48 cm²
B96 cm²
C120 cm²
D144 cm²
Find the smallest square number that is divisible by each of the numbers 6, 9, and 15.
A450
B900
C1600
D3600
The product of two numbers is 2028 and their HCF is 13. How many such pairs of numbers are possible?
A1
B2
C3
D4
If 3^(x + y) = 81 and 81^(x – y) = 3, find the value of x.
A17/8
B15/8
C2
D5/2
Find the length of the longest rod that can be placed in a room of dimensions 10 m x 10 m x 5 m.
A12 m
B15 m
C18 m
D20 m
A solid copper sphere of radius 6 cm is melted and recast into a wire of radius 0.1 cm. Find the length of the wire.
A144 m
B288 m
C360 m
D576 m
If 2x + 3y = 12 and xy = 6, find the value of 4x^2 + 9y^2.
A72
B96
C108
D144