viveknitw Sayspls explain
5N = bd + 4..(1)
N = ad + 52..(2)
Multiply 2 by 5
5N = 5ad + 260
Now 260 mod Any Number Must Leave 4....
So Largest Number = 256...
Rest Numbers Are Factors of 256...
So total Factors = 9
But 1,2,4 will not suffice...
Also Value less than 52 will not suffice....
So Values of d = 3
Thanks sumit...all clear 😃
ajit@mumbai SaysThanks sumit...all clear :-)
PUYS explanation Please......:-P
Let a, c 2, 4, 6, 8, 10, 12 and b 22, 24, 26, where a, b and c are distinct. Find the number of equations of the form ax2 + bx + c = 0, that can be formed such that the equation has real roots.
a)15
b)18
c)45
d)90
e)36
________________________________________________________________
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http://www.pagalguy.com/forum/prep-resources/44816-irma-issues-of-social-concerns.html#post1685093
PUYS explanation Please......:-P
Let a, c 2, 4, 6, 8, 10, 12 and b 22, 24, 26, where a, b and c are distinct. Find the number of equations of the form ax2 + bx + c = 0, that can be formed such that the equation has real roots.
a)15
b)18
c)45
d)90
e)36
PUYS explanation
Let a, c 2, 4, 6, 8, 10, 12 and b 22, 24, 26, where a, b and c are distinct. Find the number of equations of the form ax2 + bx + c = 0, that can be formed such that the equation has real roots.
a)15
b)18
c)45
d)90
e)36
No sumit the answer to 2nd problem is 84
ans 1.: conventional method: =x^99+x^88+x^77+x^66+x^55+x^44+x^33+x^22+x^11+1
=(x^9)^11+(x^8 )^11+(x^7)^11+(x^6)^11+(x^5)^11+(x^4)^11+(x^3)^11+(x^2)^11+(x)^11+(1)^11
as we know: a^n + b^n +.........+z^n is divisible by a+b+.....z if n is odd
therfore, remainder is zero.
unconventional: put x=1 n njoy ur life
as 10/10 rem=0
Ans2. r u asking 4 min sum of all the sides:(assuming u r asking 4 same)
231= 3*7*11
3+7+11=21 option (a)
The number of positive integral solutions of the equation xyz=30 is
a.24 b.25 c.26 d.27
Can you explain to approach
The number of positive integral solutions of the equation xyz=30 is
a.24 b.25 c.26 d.27
Can you explain to approach
There are 4 balls to be put in five boxes where each box can accommodate any number of balls. In how many ways can one do this if
1.Balls are similar and box are different.
2.. ball are diff and boxes are similar
3.. both ball and box are similar
4.both ball and boxes are differ
PUYS explanation Please......:-P
Let a, c 2, 4, 6, 8, 10, 12 and b 22, 24, 26, where a, b and c are distinct. Find the number of equations of the form ax2 + bx + c = 0, that can be formed such that the equation has real roots.
a)15
b)18
c)45
d)90
e)36
answer is 90..
as for real roots b^2>=4ac..WHICH BTW MEAN D=B^2-4AC>=0
so there r 30 cases each 4 evry value of b...
in al 90 values!!
________________________________________________________________
PUYS explanation Please......:-P
Let a, c 2, 4, 6, 8, 10, 12 and b 22, 24, 26, where a, b and c are distinct. Find the number of equations of the form ax2 + bx + c = 0, that can be formed such that the equation has real roots.
a)15
b)18
c)45
d)90
e)36
answer is 90..
as for real roots b^2>=4ac..
so there r 30 cases each 4 evry value of b...
in al 90 values!!
________________________________________________________________
Dear ankitrajpal,
For the roots to be real the Determinant of a quadratic equation has to be zero.
Determinant of a quad eqn ax^2 + bx + c = 0 is b^2 - 4ac
which should be greater than zero.
Just put the max values of a, b and minimum values of b and you can see that the problem is just a problem based on the selection of values from a given set of values.
We have 3 possible values for b sine we have to select from 22, 24 and 26 ..............(1)
Now since a and b cannot have the same value.
Hence we can select two number from the given 6 numbers in 6C2 ways. ...............(2)
Since a and b are different hence we can get 2 cases for each ...............(3)
Multiplying Eqns 1 , 2 and 3 we get the desired result.
I hope the solution is clear this time.:)
There are 4 balls to be put in five boxes where each box can accommodate any number of balls. In how many ways can one do this if
1.Balls are similar and box are different.
2.. ball are diff and boxes are similar
3.. both ball and box are similar
4.both ball and boxes are differ
:
Dear ankitrajpal,
For the roots to be real the Determinant of a quadratic equation has to be zero.
Determinant of a quad eqn ax^2 + bx + c = 0 is b^2 - 4ac
which should be greater than zero.
Just put the max values of a, b and minimum values of b and you can see that the problem is just a problem based on the selection of values from a given set of values.
We have 3 possible values for b sine we have to select from 22, 24 and 26 ..............(1)
Now since a and b cannot have the same value.
Hence we can select two number from the given 6 numbers in 6C2 ways. ...............(2)
Since a and b are different hence we can get 2 cases for each ...............(3)
Multiplying Eqns 1 , 2 and 3 we get the desired result.
I hope the solution is clear this time.:)
@freak!!!
for real roots determinant,D>=0..and not just equal 2 0..as d=0 gives real but equal roots nd v r lookin for real roots may or may not b equal!!!nd for dat d>=0..
chk it out..
Quadratic equation - Wikipedia, the free encyclopedia..
hope it helps
Q)Find the remainder when 39! is didided by 41?
Ans- 1. (Hint- Use Wilson Theorem)
q)How many 3 digit number has its sum of the digits equal to 17.
(Solution other than conventional way is needed)
q)How many 3 digit number has its sum of the digits equal to 17.
(Solution other than conventional way is needed)
q)How many 3 digit number has its sum of the digits equal to 17.
(Solution other than conventional way is needed)
