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Prove that root 3 + root 5 is irrational
what are co-prime numbers??
If the LCM of 12 and 42 is 10m +4, then the value of m is
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.
LCM of 23 * 32 and 22 * 33 is
(C) 23 * 33
(D) 22 *32
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.
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.
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 ?
find the least number that is divisible by all numbers between 1 and 10(both inclusive)
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...??
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
The Decimal Expansion of63/72*175 ?
show that the cube of any positive integer is of the form 9m,9m+1 or 9m+8
If n is any natural number, then which of the following expressions ends in 0?
(3 × 2)n
(4 × 3)n
(2 × 5)n
(6 × 2)n
Find the smallest number which when increased by 17 is exactly divisible by 520 and 468?
3 farmers have 490kg,588kg,and 882kg of wheat respectively.Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags
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 b=3 , then any integer can be expressed as a = ?
show that square of any positive integer cannot be of the form 5q+2 or 5q+3 for any integer q
Find a quadratic polynomial, the sum and product of whose zeroes are 0 and - root2 respectively.
Find the greatest number of 6 digits exactly divisible by 24, 15 and 36
real life examples of hcf and lcm
1.If the sum of two numbers is is 1215 and their hcf is 81. Find the number of such pair.
2. Find the hcf of 65 and 117 and express it in the form of 65m+117
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........
without actually performing the long division , state wheather 23/200 has termination decimal expansion or non terminating repeation. in case of terminating , find the decimal expansion with out actual division
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 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
find the value of 5/7 if 3/7 = 0.428571
Prove that if x and y are odd positive integers, then x2+y2 is even but not divisible by 4.
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
prove that if x and y are odd positive integers,the x2 +y2 is even but not divisible by 4.
if a,b are coprime, then a2, b2 are
(a)coprime (b)not coprime (c)odd nos (d)even nos
prove n3-n is always divisible by 6
Three runeers running around a circular track,can complete one revo;ution in 2,3 and 4 hours respectively..They will meet again atthe starting point after how many hours???
find the HCF of 180,252 and 324 using euclid division lemma?
if p , q are two consecutive natural numbers then HCF(p,q) is: ????
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
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
two equilateral triangles have the sides of length 34 and 85 respectively.what is the length of tape that can measure the sides of both of them..?
plzzzzz answrr fastt...:O
Find the smallest no. which leaves remainder 8 and 12 when divided by 28 and 32 respectively .
Q:If HCF (72,120)=24,then find LCM(72,120)
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
Find the largest number which when divides 147 and 234 the the remainders obtained are 12 and 9 respectively.
write whether 2 root 45 + 3 root 20 divided by 2 root 5 on simplification give a rational or irrational number
how can we prove Euclid's division lemma?
1) Find the largest number which exactly divides 70, 80, 105 160.
2) Find the largest number which divides 699, 572, and 445 leaving remainders 6, 5 4.
if the HCF of 657 and 963 is expressible in the form 657x+963x-15,find x.
every10 minutes, a bus departs from mubai for pune.also every 15 mintues, a bus departs from mubai to thane. at 9am , twobuses simultaneously depart from mumbai for pune and thane. what will be the next instance of time when two buses willsimultaneously depart from mumbai for pune and thane?
Find the greatest number of 5 digits exactly divisible by 12,15,36
The length, width,and height of a room are 6m 30cm,5m 85cm, 3m 60cm resp. what will the greatest lenght of tape which can measure the dimensions of the rooms in exact number of times?
Find the HCFof 65 and 117 and express it in the 65m+117n
(a)whole number (b)an integer
(c)rational number (c)irrational number
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=
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?
Determine the no. nearest to 110000 but greater than 100000 which is exactly divisible by 8,15 and 21.
Which of the following rational numbers have non terminating and repeating decimal expansion? [2010 (T-I)]
23 / 8
35 / 50
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 ?
HCF and LCM of a b are 19 and 152 respectively.If a =38, then find b.
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