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Syllabus

Prove that root 3 + root 5 is irrational

what are co-prime numbers??

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.

prove that root 2+ root 3 is an irrational number

(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.

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

For any positive integer n prove that n

^{3}-n is divisible by 6(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

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?

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

(a) German

(b) Swiss

(c) French

(d) American

If you are a

Brilliantwhat is the formula fora^{4}+b^{4 }(a) Detention of political prisoners without trial

(b) Forced recruitment in the army

(c) Forced manual labour

(d) Equal pay for equal work

Q. Show that any positive odd integer is of the form 4q+1 or 4q+3 where q is some

a) 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.

express 0.3

~~178~~in p/q form, 178 is repeating manner.a) Satyagraha Movement

b) Militant Guerrilla Movement

c) Non-Violent Movement

d) None of the above.

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.

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

(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.

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 ?

Let x= 7/22*53 be a rational number. Then x has decimal expansion which terminates:

a) after four places of decimal

b) after three places of decimal

c) after two places of decimal

d) after five places of decimal.

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

Question:- If P = 20 and TOM = 60 then MAT will be equal to?

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

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

(a) any natural number

(b) even number

(c) odd number

(d) none.

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

The HCF and LCM of two numbers are 9 and 90 respectively. If one number is 18, find the other.

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.

Should we find the L.C.M of 8 and 18 and then divide the L.C.M separately by 8 and 18 ?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

LCM of 2

^{3 }* 3^{2 }and 2^{2 }* 3^{3 }is(A) 2

^{3}(B) 3

^{3}(C) 2

^{3}* 3^{3}(D) 2

^{2 }*3^{2}Find the greatest number of 6 digits exactly divisible by 24, 15 and 36

What is the L.C.M of x and y if y is a multiple of x?

real life examples of hcf and lcm

(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

Find the HCF of 81 and 237 and express it as a linear combination of81 and 237If HCF(a,8)=4 , LCM(a,8)=24 then find the value of 'a'.

In 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........

prove that root 2 is irrational

(a) The French Revolutionary Code

(b) Napoleonic Code

(c) European Imperial Code

(d) The French Civil Code

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

define non integral number .....with example

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

show that 12

^{n }cannot end with digit 0 or 5 for any natural number na. Victor Emmannual

b. George Meredith

c. Louis XVIII

d. Guizot

Prove that if x and y are odd positive integers, then

^{ }x^{2}+y^{2}is even but not divisible by 4.A forester wants to plant 66 apple trees 88 banana trees and 110 mango trees in equal row also he wants to make distinct rows of trees i.e only one type of tree in one row .the number of minimum rows requiredare:-

(A)2

(B)3

(C)10

(D)12

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

prove n

^{3}-n is always divisible by 6G4B, J9Y, M25V, ?

With steps

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

Find HCF and LCM of 13 and 17 by Prime factorisation method.

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.

a) Leave their village

b) Settle in the city

c) Leave their plantation without permission

d) Allow the women to leave farmlands without permission

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

a. 1830

b. 1848

c. 1789

d. 1815

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

N is a natural number such that when N

^{3}divided by 9 ,it leaves remainder a.It can be concluded thata)a is a perfect square b) a is a perfect cube c) both of these d ) none of these

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

If m and n are odd positive integer, then m2+n2 is even but, not divisible by

4. JustifyProve that 5-root 3 is irrational.

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

If root ab be an irrational number then prove that root a+ root b is irrational

how can we prove Euclid's division lemma?

90, then the other number is

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

prove that 1+1/root2 is irrational

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

which of the following no.s has a non terminating repeating decimal expansion-

a- 6/15

b- 21/280

c- 117/62*53

d- 77/210

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

(i) $\mathrm{E}-\mathrm{D}+4=\frac{\mathrm{G}}{4}$.

(ii) The highest number B is a prime number.

(iii) C – G = B – A.

(iv) A is not an even number.

10. Which number is represented by E?

(A) 31 (B) 32 (C) 33 (D) 35

11. Which number is represented by F?

(A) 32 (B) 34 (C) 36 (D) 33

12. Which is the smallest number?

(A) D (B) G (C) A (D) E

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

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

3mor3m+1for some integerm?Answer fast

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

if p , q are two consecutive natural numbers then HCF(p,q) is: ????

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 ?

137

if x =3m -1 and y =4 is a solution of the equation x+y=6 then then the value of m is