Information

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IMO Test paper STD VIII

IMO Test paper STD VIII

IMO test paper for STD VII

IMO test paper for STD VII

STD VI IMO Test Paper

STD. VI IMO Test Paper

Arithmetic progression

In a Society, the houses are arranged in one line numbering 1 to 49. What is that value of 'x' for which the sum of the numbers of the houses preceding the house number 'x' is equal to the sum of the numbers of the houses following it.

Arithmetic Progression

 The sequence  p₁, p₂ ... and q₁, q₂ … are in arithmetic progressions such that p₁ + q₁ = 50 and p₁₁ − p₁₀ = q₉₉ − q₁₀₀. Find the sum of the first 100 terms of the progression, 

( p₁ + q₁),( p₂ + q₂) …

average

There are 10 numbers, u₁, u₂, u₃........u₁₀, having a mean/ average of u_m. If the absolute value of the difference of the number and the mean are 5, 3, 10, 15, 12, 8, 6, 9, 2 and 4 respectively then which of the numbers lie on one side of the mean.

divisibility, numbers

Let n be the total number of different 5 digit numbers that are divisible by 4. The digits comprise of 1, 2, 3, 4, 5 and 6. No digit is repeated in a number. What is the value of n?

divisibility

If n is a positive integer and (n + 1)(n + 3) is odd, then show that (n + 2)(n + 4) must be a multiple of 8.

LCM and HCF

Three numbers are in the ratio of 3:4:5 and there LCM is 2400. What is the HCF?

Number Puzzle

If A³ = _ _ _ _ 76, where A is an element of Natural number. Find A and all the missing numbers.

Algebra

Express 35 as a difference of 2 squares

simple equations

A and B start at noon from two towns 60 km apart, A's rate of walking is twice that of B's. If they walk 5 hours before they meet, find their rate of walking.


answer:
A = 8 km/hr, B = 4 km/hr

simple equation

If P and Q represent two towns 48 kms apart, and if A is walking from P to Q at 7 km/hr while B walks from Q to P at 5 km/hr, both starting at 9:00 am, at what time will they be 12 km apart?

Simple Equation

Of the two boys one was taller than the other by 15 cm; the shorter boy has grown by 9 cm and the taller boy has grown by 5 cm, and at present the difference of their heights is 1/15 the of the height of the taller boy. What were their former heights?

alphamatics, JMO

alphamatics, JMO

alphamatics, JMO

Division, STD XI

Find the Remainder when 2¹⁶⁴ is divided by 7.

indeterminate equation, JMO

Find all the possible combinations in which  1000 can be 

divided into two parts so that one may be a multiple of 13 and

the other a multiple of 49.