Official Quant thread for CAT 2013

A boy adds up consecutive odd natural numbers starting with 1. After some time when he has reached a total of 2455, he realises he has made a mistake of missing a number. The number missed is?

Please share the approach also..

rolleyes

A,B,C had some sweets. The total nu,ber of sweets that A and C have are 1,000 . If B has 500 sweets, the total sweets that A and B have cannot be more than C by?

a)377

b)179

c)244

d)none

Solution for the following question please

In an exam, maximum marks for each of the three papers is 50. The maximum marks for the fourth paper is 100. Find the number of ways in which a student can score 60% marks in aggregate.

If five varieties of rice costing 10/kg,20/kg,30/kg,40/kg and 50/kg are mixed in the ratio of a:2a:b:2b:a+b respectively then which of the following can never be profit/loss percentage if it was sold at 30/kg
  • 1% profit
  • 21% loss
  • 1% loss
  • 21% profit

0 voters

From 4 gentlemen and 4 ladies a committee is to be formed. the committee contain a president, vice president and 3 secretaries. find the no of ways of selecting the committee with at least 3 women such that at least 1 women holds the post of either a president or vice president....detail explanation

guys any tricks to solve questions like "find the coefficient of x^11 in (x-1)(x-3).........(x-23)

224)Let a, b, c be positive integers such that a^2 +b^2 = c^2(1+ab). then whichis always true?1 .a>=b2 .b>=c3. a=b=c4. b>=a5. more than 2 of above

venn diagrm.. pls see

The number of ordered triplets (k, l, m) such that k, l and m are distinct prime numbers and kl + lm + km = 120 is

👍

Pitamber selected four numbers from out of n consecutive natural numbers such that the differences between the two numbers in all possible pairs are distinct. What is the least possible value of n?

A)7

B)8

C)11

D)13

last non zero digit of 23!

There are several small cubes of side 1 cm.All cubes are painted green.480 cubes are built up to form a large cuboidal Block of length 10cm,heigh 8cm and breadth 6 cm.and this is placed on a wooden table.Then the top surface of the block is painted red.while the remaining faces are painted Blue

1 )find the number of cubes Painted with atleast two distinct colours.

whosoever is answering, kindly do explain in detail as i hv no clue in cuboidal section


S1=2010^2010 : Sn=Sn-1
at what value will sum of digits converge ??

please explain

The ratio of milk to water in a

solution of milk and water is 4 : 3 and

that in another solution of milk and

water is 3 : 4. If the volume of the

second solution is twice that of the

first, then find the resultant ratio of

water to milk when both the solutions

are mixed.

• (A) 5 : 7 (B) 1 : 1

• (C) 11 : 10 (D) Cannot be determined

A travels from a to b. B travels from b to a. They leave their places at 12:00 noon. After meeting on the way B reaches a after 45 mins and A reaches b after 20 mins. speed of B is 40km/hr . when will they meet 10 th time ?

8:30
9:00
9:30
10:30

A raindrop consists of 75% water

and the rest is dust. However, by the

time it reaches the surface of Earth, it

is left with 70% water as 2 ml water

evaporates on the way. Find the

original volume of the raindrop.

• (a) 12 ml (b) 15 ml

• (c) 40 ml (d) 42 ml

Please share your approach. OA given in BOLD.

Plzz explain..... @All 😃

17. Two different solutions of honey, milk and water are mixed with each other three times in varying proportions. The concentration of honey and milk in the three resulting solutions are

found to be (10%, 16%), (12%, 12%) and (16%, x%) respectively. What is the value of x?

(a) 4 (b) 7 (c) 8 (d) 10