If 3x – 4 (64 – x) = 10, then the value of x is
(a) –266 (b) 133 (c) 66.5 (d) 38
13 and 31 is a strange pair of numbers such that their squares 169
and 961 are also mirror images of each other. Can you find two other
such pairs?
A three digit perfect square is such that if it is viewed upside down,
the number seen is also a perfect square. What is the number?
(Hint: The digits 1, 0 and 8 stay the same when viewed upside down,
whereas 9 becomes 6 and 6 becomes 9.)
The perimeters of two squares are 40 and 96 metres respectively.
Find the perimeter of another square equal in area to the sum of the
first two squares.
A perfect square number has four digits, none of which is zero. The
digits from left to right have values that are: even, even, odd, even.
Find the number.
Three numbers are in the ratio 2:3:4. The sum of their cubes is 0.334125. Find the numbers.
Find the square root of 324 by the method of repeated subtraction.
Find the smallest square number divisible by each one of the numbers
8, 9 and 10.
Find three numbers in the ratio 2:3:5, the sum of whose squares is
608.
A king wanted to reward his advisor, a wise man of the kingdom. So
he asked the wiseman to name his own reward. The wiseman thanked
the king but said that he would ask only for some gold coins each
day for a month. The coins were to be counted out in a pattern of one
coin for the first day, 3 coins for the second day, 5 coins for the third
day and so on for 30 days. Without making calculations, find how
many coins will the advisor get in that month?
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