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Syllabus

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??

a. Victor Emmannual

b. George Meredith

c. Louis XVIII

d. Guizot

prove that root 2+ root 3 is an irrational number

(a) German

(b) Swiss

(c) French

(d) American

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

(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.

For any positive integer n prove that n

^{3}-n is divisible by 6both positive both negative

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?

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 product of 3 consecutive positive integers is always divisible by 6

If you are a

Brilliantwhat is the formula fora^{4}+b^{4 }(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.

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

a. 1830

b. 1848

c. 1789

d. 1815

express 0.3

~~178~~in p/q form, 178 is repeating manner.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}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 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}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

The Decimal Expansion of63/72*175 ?

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

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.

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?

2, 6, 18, 82, 650

(1) 2 (2) 18 (3) 82 (4) 650

show that square of any positive integer cannot be of the form 5q+2 or 5q+3 for any integer q

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

Find the greatest number of 6 digits exactly divisible by 24, 15 and 36

a. Rome

b. Prussia

c. Sardinia Piedmont

d. Vienna

real life examples of hcf and lcm

what is the HCF of two consecutive integers X and X+1 is?

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........

prove that root 2 is irrational

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..?

rnplzzzzz answrr fastt...:O

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

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.

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

Any one of the number a,(a+2) and (a+4) is a multiple of

^{}show that 12

^{n }cannot end with digit 0 or 5 for any natural number n3 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

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

^{ }x^{2}+y^{2}is even but not divisible by 4.If b=3 , then any integer can be expressed as a = ?

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

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.

prove n

^{3}-n is always divisible by 61.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 180,252 and 324 using euclid division lemma?

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.

Which of the following cannot be expressed in the formp/q, where p and q are integers and q not equal to ?

A ) 0.45

B ) 0.3232......

C) 0.102003000...

D ) 2.5

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" ?

find the value of 5/7 if 3/7 = 0.428571

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 .

(a) any natural number

(b) even number

(c) odd number

(d) none.

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

i) -root 0.64

ii) root3+root4) root5 + root 6)

iii)(root3 + 1)^2

iv) root 100

GIVE REASON

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

from the Rashtrapati Bhawan along the Rajpath in New Delhi. Several regiments of the army,

navy, and air force, along with their bands, march to India Gate. The parade is presided over by the

President of India, who is the Commander-in-Chief of the Indian Armed Forces. As he unfurls the

tricolour, the national anthem is played. The regiments of the Armed Forces then start their march

past. Prestigious awards like Kirti Chakra, Ashok Chakra, Paramvir Chakra and Vir Chakra are

given out by the President. Nine to twelve different regiments of the Indian Army, in addition to the

Navy and Air Force march toward India Gate along with their bands. Contingents of paramilitary

forces and other civil forces also participate in the parade.

On 71th republic day parade, captain RS Meel is planing for parade of following two group:

(a) First group of Army troops of 624 members behind an army band of 32 members.

(b) Second group of CRPF troops with 468 soldiers behind the 228 members of bikers.

These two groups are to march in the same number of columns. This sequence of soldiers is

followed by different states Jhanki which are showing the culture of the respective states.

(i) What is the maximum number of columns in which the army troop can march?

(a) 8 (b) 16

(c) 4 (d) 32

(ii) What is the maximum number of columns in which the CRPF troop can march?

(a) 4 (b) 8

(c) 12 (d) 16

(iii) What is the maximum number of columns in which total army troop and CRPF troop together

can march past?

(a) 2 (b) 4

(c) 6 (d) 8

(iv) What should be subtracted with the numbers of CRPF soldiers and the number of bikers so

that their maximum number of column is equal to the maximum number of column of army

troop?

(a) 4 Soldiers and 4 Bikers (b) 4 Soldiers and 2 Bikers

(c) 2 Soldiers and 4 Bikers (d) 2 Soldiers and 2 Bikers

(v) What should be added with the numbers of CRPF soldiers and the number of bikers so that

their maximum number of column is equal to the maximum number of column of army

troop?

(a) 4 Soldiers and 4 Bikers (b) 12 Soldiers and 12 Bikers

(c) 6 Soldiers and 6 Bikers (d) 12 Soldiers and 6 Bikers

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

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???how can we prove Euclid's division lemma?

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

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

If 6370=2

^{m}*5^{n}*7^{k}*13^{p }then find the value of m+n+k+p?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

3mor3m+1for some integerm?Find a quadratic polynomial, the sum and product of whose zeroes are 0 and - root2 respectively.

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}The number 3^13-3^10 is divisible by three prime numbers. Find the sum of three prime numbers.

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

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

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 ?