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Mathematics 18 Online
OpenStudy (anonymous):

Sides of a quadrilateral are all positive integers . Three of them are 5,10,20 . How many possible values are there for the fourth side?

OpenStudy (anonymous):

length of 4th side = X therefore, 5 < X < 35

OpenStudy (anonymous):

The shortest 4th side will have length of 6, and the longest 4th side will have length of 34. All values from 6 to 34 are possible. understood?

OpenStudy (anonymous):

i didn,t understood

OpenStudy (anonymous):

In a quadrilateral, the sum of any three sides of a quadrilateral is greater than the length of the fourth side. by using this identity we can get the above said answer

OpenStudy (anonymous):

yes i understood this answer thanks can you tell me another answer

OpenStudy (anonymous):

what answer?

OpenStudy (anonymous):

welcome :)

OpenStudy (anonymous):

answer is 29

OpenStudy (anonymous):

31 values also possible if u take extreme digits(5 and 35).. but it ll look like a straight line :).. co considering it as a non zero area quadrilateral, we ll assume the values from 6 to 34.. so we get answer as 29 values :)... now u can get it clearly..

OpenStudy (anonymous):

find the greatest 5 digit no. which is exactly divisible by 7,10,15,21,28 please tell me the short trick to do this

OpenStudy (anonymous):

ok... first take the lcm of 7,10,15,21,28

OpenStudy (anonymous):

u know abt taking lcm, right?

OpenStudy (anonymous):

lcm is 420

OpenStudy (anonymous):

ok... now lets consider greatest 5 digit number as 99999... divide this number with 420 and tel me the reminder

OpenStudy (anonymous):

u got it?

OpenStudy (anonymous):

the answer is 99960... (procedure is u should first find the lcm and divide the number with the lcm... then subtract the number with the reminder... thats the answer..)

OpenStudy (anonymous):

yes it's 459

OpenStudy (anonymous):

dividing 99999/420 will give u a reminder of 39.. so the greatest 5 digit no divided by 7,10,15,21,28 is 99999-39=99960.

OpenStudy (anonymous):

wat class r u studying?

OpenStudy (anonymous):

10

OpenStudy (anonymous):

mmm... try to be fast at divisions.. correct errors.. remember that the reminder ll be always less than divisor.. 99999/420 wont give 459 as reminder because 459 still dividible by 420.. so reminder is 39.. ok?

OpenStudy (anonymous):

thanks you are a great guy

OpenStudy (anonymous):

hahaha.. welcome.. no one in this world is great.. its all about how we use our intellegence :)

OpenStudy (anonymous):

if both 11^2 and 3^3 are the factors of the number a x 4^3 x 6^2 x 13^11. then what is the smallest possible value of a

OpenStudy (anonymous):

pls tell me

OpenStudy (anonymous):

first prime factorise a*4^3*6^2*13^11

OpenStudy (anonymous):

there is a large no. 13^11 pls tell

OpenStudy (anonymous):

pls tell

OpenStudy (anonymous):

a x 4^3 x 6^2 x 13^11 =a x 2^6 x (2^2 x 3^2) x 13^11 =a x 2^8 x 3^2 x 13^11... this s called prime factorizing... u writing any online exam now?

OpenStudy (anonymous):

i have done pls tell after this

OpenStudy (anonymous):

ans is 363

OpenStudy (anonymous):

how

OpenStudy (anonymous):

Since 3^3 is a factor (with 3^2 already accounted apart from a), therefore 'a' must contain at least one multiple of 3. Since 11^2 is a factor and has not been accounted anywhere else,therefore 'a' must contain 11^2. Therefore, a must be at least 11^2 x 3 = 363.

OpenStudy (anonymous):

thanks Actually i have applied for akash talent hunt exam so that's why i am solving a sample paper of this and asking questions from you

OpenStudy (anonymous):

you have any idea of this exam or not? if yes then pls tell what i prepare for this exam

OpenStudy (anonymous):

i know abt dis exam n the syllabus ... but i didn know about question types n al.. better prepare with model q.papers.. al the best :)

OpenStudy (anonymous):

there is only one sample paper i have found on net can you tell me another site for these type sample paper and should i prepare from my ncert book or another like tougher one pls tell

OpenStudy (anonymous):

i duno abt it... but ncert books are enough with concepts clearly understood.. for gk get any small gk book available in stores for rs 20 or 30

OpenStudy (anonymous):

tell me aptitude questions because that are also coming in exam

OpenStudy (anonymous):

pls tell

OpenStudy (anonymous):

tell na pls

OpenStudy (anonymous):

for aptitude use 'quantitative aptitude' by R S agarwaal or 'magical book on quicker maths' by M.Tyra

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