Showing posts with label IMO. Show all posts
Showing posts with label IMO. Show all posts
Wednesday, February 10, 2016

Resolve into Factors

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Resolve into Factors X 2 + 2XY + Y 2 – 5X – 5Y + 6
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HCF and LCM

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The HCF of two numbers is 1/6th of the LCM of those two numbers. if one of the numbers is 15, find the other?

LCM and HCF

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The product of 2 digit numbers is 2160 and their LCM is 180. Find the 2 numbers.

HCF

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Find the HCF of 2923 and 3239

time and work

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A certain number of men complete a piece of work in 60 days. if there were 8 men more, the work could be finished in 10 days less. How many...

polygon

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The sum measure of angles of a regular polygon is 68 rt angles. How many sides does this polygon have?

time and work

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16 men can do a piece of work in 16 days. 4 days after they started the work, eight more men joined them. How many days will they take now ...

Average

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The average age of 20 students in a class is 14 years. A student of age 16 leaves them and a new student joins them. Now their average age ...
Friday, January 22, 2016

distance and speed

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Nanu travels at 54 km/hr excluding stoppages and at 45 km/hr including stoppages. How many minutes of stoppage is there in an hour? Answe...
Monday, February 9, 2015

indices

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 If p =10 0.48 , q =10 0.70  and p z  = q 2 , then the value of  z  is:
Thursday, October 30, 2014

JMO - miscellaneous examples

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1.     Nanu was asked to divide a number by 6 and then add 12 to the quotient. She, however added 12 to the number first and then divided ...
Friday, October 3, 2014

factors

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For the number 6 10 x 7 17 x 55 27 , find 1.        The number of prime factors 2.        The number of all the factors.

tutorials -sum of factors

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Sum of Factors If a number N can be expressed as product of prime factors such that N = p a  x q b  x r c ...............................

division

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When we divide 333435 by 34 the remainder is a and when we divide 333534 by 34 the remainder is b. What is the value of b – a?
Wednesday, September 24, 2014

logarithm

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Sunday, September 21, 2014

clock puzzle

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In an accident the minute arm and the second arm of the wrist watch is lost. The watch now has only the hour arm in the correct position. ...

number puzzle

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Number Puzzle  

number puzzle

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Number Puzzle  
Wednesday, September 3, 2014

variation

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The intensity of light is measured in Lux. It is found that the intensity of light varies as the inverse square of the distance between lig...
Monday, September 1, 2014

circle

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 wooden cubes of unit cross section (1 cm x 1 cm) are used to keep the pipe in place as shown above. What is the horizontal ...