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Prove that root 3 + root 5 is irrational
If the LCM of 12 and 42 is 10m +4, then the value of m is
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?
express 0.69 as a rational number in P/Q form?
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.
N is a natural number such that when N3 divided by 9 ,it leaves remainder a.It can be concluded that
a)a is a perfect square b) a is a perfect cube c) both of these d ) none of these
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
Find the largest number which when divides 147 and 234 the the remainders obtained are 12 and 9 respectively.
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)
Find the remainder when 3 raised to the power 43 when divided by 4
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.
Check whether 25n can end with the digit zero for any natural number.
write one rational number between root 2 and root 3?
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?
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
Find the largest number which devides 378 and 510 leaving remainder 6 in each case.
Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237
if p , q are two consecutive natural numbers then HCF(p,q) is: ????
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
LCM of 23 * 32 and 22 * 33 is
(C) 23 * 33
(D) 22 *32
show that there is no positive integer n so that root(n-1)+root(n+1) is rational
find 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........
Show that square of any positive odd integer is of the form 8m + 1, for some integer m.
Express 111972 as a product of its prime factors?
show that 12n cannot end with digit 0 or 5 for any natural number n
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
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.
Given that H.C.F. ( 1261,1067) = 97, find L.C.M. (1261,1067)
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 .
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
Can two numbers have 18 as their HCF and 380 as their LCM? give reasons
write whether 2 root 45 + 3 root 20 divided by 2 root 5 on simplification give a rational or irrational number
show that 9n can't end with 2 for any integer n .
how can we prove Euclid's division lemma?
to find the HCF of 657 and 963, we will use Euclid's division Lemma,
963 = 657*1+306
since the remainder is not equal to zero, we will again apply Euclid's division Lemma
657 = 306*2+ 45
306 = 45*6 + 36
45 = 36*1 +9
36 = 9*4 + 0
now we get remainder as 0 , thus the HCF of 963 and 657 is 9.
9 = 657 x + 963 x -15
1620 x = 9+15 = 24
x = 24 / 1620 = 2/135
hope this helps you.
this above question is answered by a meritnation expert,bt the answer given by mam is not the same answer given in rd sharma guide.itz different,the answer given in guide is 22 while answer is 2/135....so which should i follow....plzz any1 du help meee.....expertz plzzz clear my doubt...plzzz..!!
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?
prove that 1+1/root2 is irrational
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,B AND C starts cycling around a circular path in the same direction at same time. Circumference of the path is 360km. If the speed of A is 40m/min, speed of B is 60m/min and that of C is 72m/min and they start from the same point, then after what time interval they will be together at the starting point?
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 x = 2 13 * 3 12 * 5 7, the numeral x will end in __________ zeroes
explain why 7*11*13+13 and 7*6*5*4*3*2*1+5 are composite numbers ?
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