Two series A (a1, a2, a3, ....an) and B (b1, b2, b3, ....bn) are in A.P. such that an – bn = n – 1, where an stands for the nth term of the series A, and bn for the nth term of the series B. It is also known that a6 = b8. Find the value of a101 – b121.
let B series be.. b1=b,b2=b+d, b3=b+2d ... and so on
it is given a6=b8 also, an-bn=n-1
a6-b6=5 b8-b6=5 or b+7d- b-5d=5 d=5/2
now a101-b101=100 or a101= 100+b101
substitute this in what we have to find.. 100+b101-b121 100+ b + 100*5/2 - b -120*5/2 350-300=50
let B series be.. b1=b,b2=b+d, b3=b+2d ... and so onit is given a6=b8also, an-bn=n-1a6-b6=5b8-b6=5or b+7d- b-5d=5d=5/2now a101-b101=100or a101= 100+b101substitute this in what we have to find..100+b101-b121100+ b + 100*5/2 - b -120*5/2350-300=50
In a chess competition involving some boys and girls of a school, every studenthad to play exactly one game with every other student. It was found that in 45 gamesboth the players were girls, and in 190 games both were boys. The number of gamesin which one player was a boy and the other was a girl is?a. 200b. 216c. 225d. 212
200..
bC2=190 (2 boys played against each other)... we get b=20 gC2 =45 ... we get g=10
10C1 *20C1 = 10*20 = 200matches where one player was girl and other was boy.
lo brother m completing ur solution on ur behalf, hope its right 2x1+2x2+2x3+2x4+x5=6here x5 is always of the form 2nso 2x1+2x2+2x3+2x4+2n=6x1+x2+x3+x4+n=3number of solutions = 7c4=35similarly for next case2x1+2x2+2x3+2x4+x5=4here also x5 is also even alwaysx1+x2+x3+x4+n=2solutions 6c4 = 15for next case2x1+2x2+2x3+2x4+x5=3here x5 shud always be odd and greater than 02x1+2x2+2x3+2x4+2n+1=3x1+x2+x3+x4+x5=1number of solutions 5c4=535*15*5=2625
bhai 2^4 (as u,v,w and x can be -ve as well) se multiply nahi karne ka kya?
In a chess competition involving some boys and girls of a school, every studenthad to play exactly one game with every other student. It was found that in 45 gamesboth the players were girls, and in 190 games both were boys. The number of gamesin which one player was a boy and the other was a girl is?a. 200b. 216c. 225d. 212
In a chess competition involving some boys and girls of a school, every studenthad to play exactly one game with every other student. It was found that in 45 gamesboth the players were girls, and in 190 games both were boys. The number of gamesin which one player was a boy and the other was a girl is?a. 200b. 216c. 225d. 212
How many three digit numbers have the property that their digits taken from left to right for an Airthmetic or Geometric Progression? 1) 15 2) 36 3) 20 4) 42
How many three digit numbers have the property that their digits taken from left to right for an Airthmetic or Geometric Progression?1) 152) 363) 204) 42
for GP i got 124 139 248
and AP 123 135 147 159 234 246 258 345 357 369 456 468 567 579 678 789
How many three digit numbers have the property that their digits taken from left to right for an Airthmetic or Geometric Progression?1) 152) 363) 204) 42
