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9x^{2} + 25  30x
= (3x)^{2} + (5)^{2}  2 (3x) (5)
= (3x  5)^{2}
x^{2} + 17x + 60
=x^{2} +5x +12x + 60
=x(x+5) +12(x+5)
=(x+5) + (x+12)
The perimeter of a rectangle is 54 cm. If its width is 2 cm more than onefourth of its length. What is its length?
Let the length be x.
One of the letters from the word SOCIOLOGY is chosen at random. What is the probability that this letter is O?
Total number of letters = 9
Number of letter ‘O’ = 3
Required probability
The product of two numbers is 1575 and their quotient is 9/7. What is the difference of the numbers?
Let the numbers be x and y.
The diagonal of a square is What is its perimeter?
A well with internal diameter 8m is dug 7m deep. The earth taken out of it is spread at around to a width of 2 m to form an embankment. The height of embankment will be :
Volume of earth dug out
53 tests

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