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Two dice are thrown simultaneously. What is the probability of getting a double (same number on both)?
A1/36
B1/12
C1/6
D5/36
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
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
If 2x + 3y = 12 and xy = 6, find the value of 4x^2 + 9y^2.
A72
B96
C108
D144
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
Two pipes can fill a tank in 12 minutes and 15 minutes respectively. A third pipe can empty it in 20 minutes. How long will it take to fill the tank if all three are open?
A8 minutes
B10 minutes
C12 minutes
D15 minutes