Wednesday, February 10, 2016

HCF and LCM

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

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

HCF

Find the HCF of 2923 and 3239


time and work

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 men were there originally?


polygon

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


time and work

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 to complete the work?


Average

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 becomes 13.8 years. What is the age of the new boy?


Monday, February 8, 2016

Puzzle

There are a 1000 locks in closed position. 1000 children numbering 1 to 1000 approach the lock one by one. The rule is the child (say with number 'n') can open or close the lock numbering  in multiples of "n" only.
so the child in number one position can open all the locks. Child number 2 will be able to close all the locks in multiples of 2 (like 2, 4, 6 .... upto 1000). The other locks will remain as they are.
After all the 1000 children have had their chance, how many locks will be in open position.

puzzle

In a debate the Professor's father's son was meeting with the Professor's son's father.
Will the Professor be a part of the meeting.

geometry

 
















I would appreciate receiving your solutions.

Friday, January 22, 2016

distance and speed

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?

Answer:

Basis : 1 hour

let distance to be covered be 54 km

so, distance covered with stoppages = 45 km

shortfall in distance covered = 54 - 45 = 9 km

time taken to cover 9 km = 9/54 = 1/6 hour

so, minutes of stoppage per hour = 60 x 1/6 = 10 mins

Saturday, December 12, 2015

making the subject - STD VII


position in class - STD VI

If in a class of 37 students the place of Nanu and Bhanu are 10th and 16th respectively, what
are their places from the last?

A. 27th and 22nd        B. 28th and 20th      C. 27th and 21st       D. 28th and 22nd

Friday, December 11, 2015

geometry - triangle

A triangle has a perimeter of 36 cm. The altitudes of the triangles are in the ratio of 1:2:3. Find the measure of each sides.