logarithm

division

A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

numbers

show that the product of four consecutive even number is always divisible by 384

geometry

A circle of unit radius, houses a square of maximum size inside it. What is the ratio of area of square to area of circle?

15 questions for MTSE/ MAT/ IPM STD VIII

answers available under respective topics

clock puzzle

At how many minutes past 8 O' clock does the minute arm and the hour arm coincide between 8 O' clock and 9 O' clock?

clock puzzle

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.
What is the minimum time that can be measured accurately?

number puzzle

Number Puzzle

 

number puzzle

Number Puzzle

 

Puzzle

A, B and D are good in Hockey and Volleyball. C and A are good in Hockey and Baseball. D and B are good at Cricket and Volleyball. C, D and E are good at Football and Baseball.

Find out, who of the following is good in all the games.

Puzzle

Out of 5 friends A is shorter than B but taller than E. C is tallest and D is little shorter than A. Which one is the shortest?

Puzzle

Nanu and Bhanu are charged for overspeeding on the  Express Highway. Nanu was charged with exceeding the speed limit by 10 km/hr, whereas Bhanu was charged with exceeding the same limit by thrice as much. If Bhanu was driving at 100 km/hr, at what speed was Nanu driving her vehicle?

puzzle

if 6 girls A, B, C, D, E and F have 10 marbles each. A and B take 4 marbles each from D and E respectively. C gives 3 marbles to F who in turn gives 2 marbles to D and 4 marbles to E. E takes back the marbles she had given to B and gives these to C.

Who has got 1 more marble than E?
How many marbles has D less than B?

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?