Official Quant thread for CAT 2013

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, find a100.

There are three men and eleven women taking a dance class. In how many different 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 different colors. If we have seven different colors to choose from, how many

distinguishable cubes can we produce?

Find the coefficient of x^2yz^2in the expansion

[(x/2) +yāˆ’3z]^5

itni shanti kyu hai bhyi :rolleyes:

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 ? :mg:


"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? :mg: :mg:

a/b=3/5

c/d = 7/4

find the value of (4ad+ bc)/ (2bc -ad)

1, 2, 4, 8, 31, 57, ........ find the next term.

1, 2, 4, 8, 16, 31, 57, .....


Find the next term

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

Find the value

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? :mg:


guys please help out with questions of this kind:


70% of the students play football,75% play cricket,80% play basketball and 85% play carom.The minimum % of students who play all four games.
  • 20
  • none of the above
  • 15
  • 10
  • 5

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