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Prove that root 3 + root 5 is irrational
what are co-prime numbers??
prove that root 2+ root 3 is an irrational number
show that one and only one out of n, n+2, n+4 is divisible by 3
For any positive integer n prove that n3-n is divisible by 6
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
If you are a Brilliant what is the formula for a4+b4
Q. Show that any positive odd integer is of the form 4q+1 or 4q+3 where q is some
express 0.3178 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
Ram and Shyam go for morning walk daily. They run in a circular track in the park and take 180 seconds and 150 seconds respectively to complete one round. They start together at 6 am from the same point and in the same direction.
(i) How long would it take for them to meet again for the next time?
(ii) At what time willl they meet first time after they start?
(iii) Which concept has been used here?
(iv) Which values of Ram and Shyam have been depicted in this activity?
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 ?
If HCF(a,8)=4 , LCM(a,8)=24 then find the value of 'a'.
find the least number that is divisible by all numbers between 1 and 10(both inclusive)
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
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?
if p , q are two consecutive natural numbers then HCF(p,q) is: ????
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
find HCF and LCM of 306 and 54 verify that HCFxLCM= Product of the two numbers
real life examples of hcf and lcm
Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237
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
show that there is no positive integer n so that root(n-1)+root(n+1) is rational
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:-
Show that square of any positive odd integer is of the form 8m + 1, for some integer m.
show that 12n cannot end with digit 0 or 5 for any natural number n
the hcf of 45 and 105 is 15 . write their lcm .
Prove that if x and y are odd positive integers, then x2+y2 is even but not divisible by 4.
prove that if x and y are odd positive integers,the x2 +y2 is even but not divisible by 4.
prove n3-n is always divisible by 6
If p is a prime number then LCM of p , p2, p3 is :
A ) p
B ) p3
C ) p2
D ) p6
find the HCF of 180,252 and 324 using euclid division lemma?
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.
The Decimal Expansion of63/72*175 ?
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
Evolution of number system: A journey from "counting numbers" to "real numbers" ?
show that one and only one out of n ,n+4,n+8,n+12,n+16 is divisible by 5 where n is any positive integer
Find the smallest no. which leaves remainder 8 and 12 when divided by 28 and 32 respectively .
Find the smallest positive rational number by which 1/7 should be multiplied so that its decimal expansion terminates after 2 places of decimal.
Prove 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
0.57 can b written as p/q, q is not equal to 0 as:
a) 26/45 b) 13/27 c)13/29 d) 57/99
Can two numbers have 18 as their HCF and 380 as their LCM? give reasons
books dealing with cleanliness,in english,hindi and sociology,have to be stacked in such a way that all books are stored topicwise and height of each stack is the same.the number of english books is 240,number of hindi books is 96 and the number of sociology books is 336. assuming that the books are of same thickness,find the number of stacks of each books? which mathematical concept is used in this problem? which good habit is discussed in this problem?
how can we prove Euclid's division lemma?
write whether 2 root 45 + 3 root 20 divided by 2 root 5 on simplification give a rational or irrational number
if the HCF of 657 and 963 is expressible in the form 657x+963x-15,find x.
Find the greatest number of 5 digits exactly divisible by 12,15,36
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 3m or 3m+1 for some integer m?
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=
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...!!
if a,b,c,d are in continued proportion prove that:
(b-c)2 (c-a)2 +(d-b)2 = (a-d)2
explain why 7*11*13+13 and 7*6*5*4*3*2*1+5 are composite numbers ?
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