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Syllabus

Prove that root 3 + root 5 is irrational

what are co-prime numbers??

prove that root 2+ root 3 is an irrational number

If n is an even natural number, then the largest number by which n(n + 1)(n + 2) is divisible is

a)24 ; b)6 ; c)12 ; d)9

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

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?

For any positive integer n prove that n

^{3}-n is divisible by 6if lmn =1 show that 1/1+l+m-1 +1/1+m+n-1 +1/1+n+1-1 = 1

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

how to write twelve thousand twelve hundred in 5 digits...........???

If you are a

Brilliantwhat is the formula fora^{4}+b^{4 }Answer ma fast as soon as possible

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.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 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 ?

1) The arithmetic mean of 12 observations is 7.5. If the arithmetic mean of 7 of these observations is 6.5, the mean of the remaining observations is.

2) In a continuous frequency distribution, the mean of the data is 25. if each item is increased by 5, then the new median will be.

PLEASE ANSWER THESE QUESTIONS AS SOON AS POSSIBLE. THIS IS VERY URGENT. THANK YOU!!!!

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

In a sports meet, the number of players in Football, Hockey and Athletics are 48,60,132, respectively.

Find the minimum number of room required, if in each room the same number of player are to be seatedand all of them being in the same sports ?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

1 se lekar 100 tak ki lagataar shankhya ka yog bataaye ,,,,,,,,,,,,

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

Find two natural numbers whose difference is 66 & LCMis 360.

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

2^2x+1 = 17.2^x - 2^3

Any one please solve this question

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.

prove that there is no rational no. whose squre is 8.

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

real life examples of hcf and lcm

the number 3 power 13 -3 power 10 is divisible by

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........

(A) 306 (B) 278 (C) 141 (D) 300

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

prove that root 2 is irrational

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

show that 12

^{n }cannot end with digit 0 or 5 for any natural number nLCM 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}prove that if x and y are odd positive integers,the x2 +y2 is even but not divisible by 4.

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

^{ }x^{2}+y^{2}is even but not divisible by 4.If HCF and LCM of two numbers are 4 and 9696 then the product of the 2 numbers is

A)9696 b)24242 c)38784 d)4848

prove n

^{3}-n is always divisible by 6a/x - b/y = 0

ab

^{2}/x - a^{2}b/y = a^{2}- b^{2}solve using cross multiplication method

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

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.

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

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

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

there are 156 ,208 and 260 students in groups A,B,C respectively. buses are to be hired to take them to a deserted land near a colony where people used to throw garbage. these students decided to develop a pond here.

a) find the minimum no. of buses hired if student of each group and same no. of students should be accomodated in each bus.

b) which value is depicted by them.

show that one and only one out of

n ,n+4,n+8,n+12,n+16is divisible by 5 wherenis any positive integerProve 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

show that square of an odd positive integer can be of the form 6q+1 or 6q+3 for some integer q

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

give mind map on real numbers?

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.

4 5 7 ----266

6 8 9 ----398

8 3 6 ---- ?

this is the question which i tried but didn't succed plzz provide me solution asap...

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

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

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

3mor3m+1for some integerm?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

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

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}Find the smallest positive rational number by which 1/7 should be multiplied so that its decimal expansion terminates after 2 places of decimal.

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

explain why 7*11*13+13 and 7*6*5*4*3*2*1+5 are composite numbers ?