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The figure may be labelled as shown. The simplest parallelograms are LMHJ and BDFM i.e. 2 in number. The parallelograms composed of two components each are ABML and MFGH i.e. 2 in number. The parallelograms composed of three components each are LBHI, LBEF, BDGH, DFLA, BCFH, KLFH, A6HJ and LFGJ i.e. 8 in number. The parallelograms composed of six components each are LCFI, KBEH and ADGJ i.e. 3 in number. Total number of parallelograms in the figure = 2 + 2 + 8 + 3 = 15.
Find the last digit of (12123 – 1).
What must be added to (7/20) to make it (3/4)?
Find the number of zeros at the end of 78!.
Find the sum of all two-digit numbers that are exactly divisible by 6.
The ratio between two numbers is 2:3 and the sum of their squares is 2197. The numbers are:
Sum of seven consecutive natural numbers is always divisible by which of the following number?
Two numbers add up to 18, and the sum of their reciprocals is 5/2. Calculate the square of the product of the two numbers.