How many positive integers less than 5000 are multiples or 3, 5 or 7, but not multiples of 35?
The numbers a1, a2,...,a108 are written on a circle such that the sum of any 20 consecutive numbers
equals 1000. If a1 = 1, a19 = 19, and a50 = 50, ļ¬nd a100.
There are three men and eleven women taking a dance class. In how many diļ¬erent ways can each man
be paired with a woman partner and then have the eight remaining women be paired into four pairs of
two?
We want to paint some identically-sized cubes so that each face of each cube is painted a solid color and
each cube is painted with six diļ¬erent colors. If we have seven diļ¬erent colors to choose from, how many
distinguishable cubes can we produce?
Find the coefficient of x^2yz^2in the expansion
[(x/2) +yā3z]^5
itni shanti kyu hai bhyi 
A bottle contains liquid of 40% alcohol. A part of this liquid is replaced by another containing 19% alcohol & now the % of alcohol found to be 26%. Find the quantity of liquid replaced.
Of A B and C:
1) each belongs either to the Tee family whose members always tell the truth or to the El family whose members always lie.
2) A says "either I belong or B belongs to a different family from the other two"
Whose family do you know the name of ? 
"We - A,B,and C- each have some children"
1) A has at least one girl and twice as many boys as girls.
2) B has at least one girl and three times as many boys as girls
3) C has at least one girl and three more boys than girls.
4) when I tell you the number of children we have altogether - a number less than 25 - you will know how many children i have, but not how many children each of the others have. Altogether we have ....."
who is the speaker?

a/b=3/5
1, 2, 4, 8, 31, 57, ........ find the next term.
1, 2, 4, 8, 16, 31, 57, .....
A set of S consists of i). All odd numbers from 1 to 55.ii). All even numbers from 56 to 150.What is the index of the highest power of 3 in the product of all the elements of the set S?
A.35
B.48
C.6
D.36
E.NOTA
What is the probability that a randomly chosen point inside a cirle is close to close to circumference than centre ??? 
If ABCD be a convex quadrilateral in which angleBAC = 50, angleCAD = 60, angleCBD = 30 and angleBDC = 25. If E is the point of intersection of AC and BD, then find angleAEB.
What is the least possible value of logyx + logxy, if x > 1 and y > 1?
abcd is a square.p is mid point of ab.the line passing through a and perpendicular to dp intersect the diagonal at q and bc at r if ab = 2 then pr?
A total of 21 cards consisting of 4 kings, 4 queens, 4 jacks, 4 nines, and 1 joker were dealt to A B and C. Then all jacks, tens, and nines were discarded. At that point:
1) the combined hands consisted of 4 kings 4 queens and 1 joker
2) A had 2 cards B had 3 cards and C had 4 cards
3) The man with most singletons did not have the joker
4) No man had more than 2 kings
Who had Joker? 
guys please help out with questions of this kind:
- 20
- none of the above
- 15
- 10
- 5
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