number puzzle

If 
5 - 4 = 23
8 - 1 = 63
6 - 16 = 32
9 - 9 = 78
3 - 9 = 6
then find the value of 3 - 81 

Puzzle

JMO problems on Direction

JMO Std VI mock test paper

JMO mock test paper for STD. VI

factorization

If, 2x⁴ + x³ – 11x² + x + 2 = 0, then find the value of (x + 1/x)

factorization

Factorize: y² – 4 – x² + 4x

factorization

Factorize:
9x2+24x
+34+24x-1+9x−2

Puzzles

Puzzle --- JMO

An unfortunate mouse has entered the trash compactor whose walls are 15 meters apart. The walls of the compactor begin to close in on the mouse at a speed of 0.2 meter per hour. The mouse panics and starts to runs from one of  walls' that is closing in, to the opposite wall in order to escape, over and over  until the compactor walls meet each other . The mouse runs at a speed of 10 meters per hour. How much distance does the mouse run before it dies?

ICSE mock test paper

ICSE mock test paper for STD X

ICSE mock test paper

ICSE mock test paper STD X

JMO - numbers

If you have an operator (!) such that:

1! = 1

2! = 2 x 1

3! = 3 x 2 x 1

And it is also given that 0! = 1

You are given 4 zeros. Can you get a value of 24. You can use the operator as many times as you want.

variation

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 light source and point of measurement.
if at 10 meters, the intensity is 100 lux, what is the intensity of the light at 15 meter distance.

percentage

Refer to the path followed by the ball in the diagram below. every time the ball hits the ground it looses 20% of its energy. what is the energy left in the ball just after it hits the ground for the third time.

mensuration

Ladoos of radius 5 cm rest are stacked in the fashion shown above for the Ganesh Chaturthi. what is the area of the shaded region.

circle

 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 distance between the two cubes.

circle

find the coordinates of point of contact between the bigger and the smaller circle.

circle

The 2 circles of radius "r" are resting on a horizontal plan. A smaller circle is housed in the gap of the two bigger circles as shown. What is the radius of the smaller circle?

ICSE mock test paper

ICSE mock test paper

time and work

two pipes running together can fill up a cistern in 40/13 mins. If one pipe takes 3 mins more than the other to fill the cistern, find the time in which each time would fill the cistern?

distance and speed

Two trains leave the railway station at the same time. One train is travelling due north and the other due east. The first train is 5 km/hr faster than the second train. If after 2 hours, the trains are 50 km apart, what is the speed of each train?

circle

The sum of the areas of two circles is 116π cm2 (refer diagram below). the centre of the circles is 6 cm apart. find the radius of the circles.