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Syllabus

Prove that root 3 + root 5 is irrational

(a) It was an all British commission

(b) It was formed in Britain

(c) It was set up in response to the nationalist movement

(d) All of the above

what are co-prime numbers??

(a) British ruled India because the latter was militarily weak

(b) British ruled India because Indians cooperated with them

(c) British ruled India because they got international support

(d) None of these

prove that root 2+ root 3 is an irrational number

a) Satyagraha Movement

b) Militant Guerrilla Movement

c) Non-Violent Movement

d) None of the above.

show that one and only one out of n, n+2, n+4 is divisible by 3

(a) Arrival of the Simon Commission

(b) Working at the firm without payments

(c) Violation of Salt Tax by Gandhi

(d) Fall in demand for agricultural goods

For any positive integer n prove that n

^{3}-n is divisible by 6a) It introduced the Salt Law.

b) It increased taxes on land

c) It gave the British the power to arrest and detain a person without a trial

d) It put a ban on the Congress party.

a)Find the H.C.F. of the smallest composite number and the smallest prime number.

b) . If a = 4q + r then what are the conditions for a and q. What are the values that r can take?

(a) Plebiscite is a direct vote by which only the female members of a region are asked to accept or reject a proposal.

(b) Plebiscite is a direct vote by the female members of a matriarchal system to accept or reject a proposal.

(c) Plebiscite is a direct vote by only a chosen few from the total population of a parti-cular region to accept or reject a proposal.

(d) Plebiscite is a direct vote by which all the citizens of a region are asked to accept or reject a proposal.

prove that product of 3 consecutive positive integers is always divisible by 6

A small bus interchange has 2 feeder services that start simultaneously at 9am. Bus number 801 leaves the interchange at 15-min intervals, while bus number 802 leaves at 20-min intervals. On a particular day, how many times did both services leave together from 9 am to 12 noon inclusive? plz answer fast !!If you are a

Brilliantwhat is the formula fora^{4}+b^{4 }- Even number
- odd number
- prime number
- number divisible by 3

(how to solve it)Q. Show that any positive odd integer is of the form 4q+1 or 4q+3 where q is some

express 0.3

~~178~~in p/q form, 178 is repeating manner.Given that H.C.F. ( 1261,1067) = 97, find L.C.M. (1261,1067)

The HCF of 65 and 117 is expressible in the form 65m-117.Find the value of m. Also find the LCM of 65 and 117 using prime factorisation method.

(A) None (B) One (C) Two (D) More than three

if alpha beta and gamma are the zeroes of polynomial 6x3+3x2-5x+1 then find the value of alpha raised to -1+beta raised to -1+gamma raised to -1

If the LCM of 12 and 42 is 10m +4, then the value of m is

A circular field has a circumference of 360km. Three cyclist start together and can cycle 48,60 and 72km a day,round the field. When will they meet again ?

find the least number that is divisible by all numbers between 1 and 10(both inclusive)

a. To declare completion of German Unification.

b. To restore conservative regime in Europe.

c. To declare war against France.

d. To start the process of Italian unification.

show that any positive odd integer is of the form 6q+1,6q+3 or 6q+5, where q is some integer. explain the solution

? , 17, 33, 51, 75

show that the cube of any positive integer is of the form 9m,9m+1 or 9m+8

Find the smallest number which when increased by 17 is exactly divisible by 520 and 468?

1. Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237.

2. Find the HCF of 65 and 117 and express it in the form 65m + 117n.

3. If the Hcf of the 210 and 55 is expressible in the form 210 X 5 + 55y, find y.

write one rational number between root 2 and root 3?

show that square of any positive integer cannot be of the form 5q+2 or 5q+3 for any integer q

Find the greatest number of 6 digits exactly divisible by 24, 15 and 36

a) high revenue demand

b) indigo planters

c) mill owners

d) salt tax

real life examples of hcf and lcm

Find the HCF of 81 and 237 and express it as a linear combination of81 and 237In a morning walk 3 persons step off together, their steps measure 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that he can cover the distance in complete steps?

Question from R.D. Sharma........

the HCF and LCM of two numbers are 33 and 264 respectively.when the first number is divided by 2 the quotient is 33.what is the other number?

THE ANSWER GIVEN BY THE EXPERT IS 132,BUT THE ANSWER IN MY GUIDE IS 130.....PLZZZ....WHICH IS THE RIGHT 1...??prove that root 2 is irrational

Ans : 2600

show that there is no positive integer n so that root(n-1)+root(n+1) is rational

Show that square of any positive odd integer is of the form 8m + 1, for some integer m.

^{33}+ 2^{33 }+ 3^{33 }+ 4^{33 }+ ..............+89^{33 }is- ?show that 12

^{n }cannot end with digit 0 or 5 for any natural number nProve that if x and y are odd positive integers, then

^{ }x^{2}+y^{2}is even but not divisible by 4.(a) strong devotion for one?s own country and its history and culture.

(b) strong devotion for one?s own country without appreciation for other nations.

(c) strong love for one?s own country and hatred for others.

(d) equally strong devotion for all the countries of the world.

prove that if x and y are odd positive integers,the x2 +y2 is even but not divisible by 4.

a) Leave their village

b) Settle in the city

c) Leave their plantation without permission

d) Allow the women to leave farmlands without permission

prove n

^{3}-n is always divisible by 6find the greatest number of six digits which on division by 42, 45, 48, 56, and 60 leaves 12 as remainder in each case.

plz answer it fast........

find the HCF of 180,252 and 324 using euclid division lemma?

1. Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237.

Sir i want full explanation to this question and also i want the full reasoning and procedure to solve such kinds of problem to score good marks in mathematics examination.

on a morning walk 3 persons step off together and their steps measure 40 cm , 42 cm and 45 cm respectively what is the minimum distance each should walk so that each can cover the same distance in complete steps

what is the formula of A TO THE POWER 4 & B TO THE POWER 4

Evolution of number system: A journey from "counting numbers" to "real numbers" ?

(a) German

(b) Swiss

(c) French

(d) American

show that one and only one out of

n ,n+4,n+8,n+12,n+16is divisible by 5 wherenis any positive integerFind the smallest positive integer n such that n/2 is a perfect square, n/3 is a perfect cube and n/5 is a perfect fifth power.

Find the smallest no. which leaves remainder 8 and 12 when divided by 28 and 32 respectively .

Prove that 5-root 3 is irrational.

If HCF of 12 and 40=40 x 1 + 4 x x

then find the value of x.

find the hcf and lcm of 404 and 96 and verify hcf x lcm = product of two given numbers

Can two numbers have 18 as their HCF and 380 as their LCM? give reasons

a) To discuss the provisions of future Indian Constitution.

b) To discuss the steps to be taken to check Indian National Movement

c) To give concessions to Indians

d) To make plans for improvement of agriculture in India.

write whether 2 root 45 + 3 root 20 divided by 2 root 5 on simplification give a rational or irrational number

There are 3 consecutive traffic lights which turn "green" after every 36, 42 and 72 seconds. They all were at "green" at 9:00 AM. At what time will they all turn "green" simultaneously?how can we prove Euclid's division lemma?

if the HCF of 657 and 963 is expressible in the form 657x+963x-15,find x.

what will be the remainder ???????

express in the form of a = bq + r

Find the greatest number of 5 digits exactly divisible by 12,15,36

18. Substitute different digits (0, 1,2.....,9) for different letters in the problem below, so that the corresponding addition is correct and it results in the maximum possible value of MONEY.

The resulting value of 'MONEY' is

(1) 10364

(2) 10563

(3)10978

(4) None of these

Find the HCFof 65 and 117 and express it in the 65m+117n

4.

(1) 14

(2) 16

(3) 15

(4) 11

use euclid's division lemma to show that the square of any positive intiger is either of the form

3mor3m+1for some integerm?if two positive integers a b are written as a = x

^{3 }y^{2}and b = x y^{3 }where x y are prime numbers then the hcf of a b is=(a)xy (b)xy

^{2}(c)x

^{3}y^{3 }(d)x^{2}y^{2}(a) Detention of political prisoners without trial

(b) Forced recruitment in the army

(c) Forced manual labour

(d) Equal pay for equal work

Determine the no. nearest to 110000 but greater than 100000 which is exactly divisible by 8,15 and 21.

Show that one and only one out of n,n+2,n+4 is divisible by 3,where n is any positive integer...???

plzz ans it!!!i really need it...!!explain why 7*11*13+13 and 7*6*5*4*3*2*1+5 are composite numbers ?

a) New symbols

b) New ideas

c) Icons

d) Anti-colonial movement