If x - y = 3 and x^2 + y^2 = 29, find the value of xy.
Find the least number that, when divided by 4, 6, 7, 8, and 9, leaves a remainder of 2 in each case.
In a certain code, GIGANTIC is written as GIGTANCI. How is MIRACLES written in that code?
The area of parallelogram ABCD, whose height on side AB is 12 cm, is 132 cm2. Find the length of side AB.
How many combinations are possible while selecting four letters from the word ‘SMOKEJACK’ with the condition that ‘J’ must appear in it?
P and Q take part in 100 m race. P runs at 6kmph. P gives Q a start of 8 m and still beats him by 8 seconds. The speed of Q is:
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
A pipe can fill a tank in 6 hours and another pipe can empty the tank in 12 hours. If both the pipes are opened at the same time, the tank can be filled in ?
Find the error in the underlined sentence and answer the correct one from the given options.
Its collection includes such treasures as a woven funerary headdress, one that they believe is a type unique to ancient Thebes.