Official Quant thread for CAT 2013

The number of road incidents is related to the number of vehicles using the roads by a linear equation. When the number of vehicles using the road was 1000, there were 240 incidents and when the number of vehicles using the road was 2000, there were 640 incidents. What is the maximum number of vehicles that can use the roads, if a zero-incident rate is desired?

A certain club decides to organise a summer camp for children. The entry fee per participant is Rs.2400. The camp will be organized only if a minimum of 60 children enroll and for every additional enrollment above that, a discount/refund of Rs.15 is given to each of the children taking part in the camp. Find the number of enrollments that will maximize the revenue earned by the association.


a)110 b)107 c)120 d)116

the area of the square base of a right pyramid is 64. if the area of each triangle forming the slant surface is 20 . find the volume of the pyramid is

options

64

128/3

123

none of these


approach please

cost of production of a cordless phone set in 2006 is rs.900 divided between material,labour and overheads in ratio 3:4:2.if cordless phone marked at price that gives 20%profit on component of price accounted by labour then what is mp of the set?Please give me wateva possible shortcuts and simple ways u have to do this question..asap..

A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30 / kg. How many kgs of the second variety will be in the mixture if 2 kgs of the third variety is there in the mixture?


A) 1 kg
B) 5 kg
C) 3 kg
D) 6 kgs

The sequence 1, 2, 4, 5, 7, 9, 10, 12, 14, 16, 17,…. has one odd number followed by the next two

even numbers, then the next three odd numbers followed by the next four even numbers and so on.

What is the 2003rd term of the sequence?

if from a circular sheet of paper of radius 15 cm, a sector of 144 degree is removed and the remaining is used to make a conical surface , then the angle at the vertex will be

sin inverse(3/10)
sin inverse(6/5)
2sin inverse (3/5)

approach please

ashish needs to pay 2010 dollars for his dinner. He has an unlimited supply of 2, 5, and 10 dollar notes. In how many ways can he pay?

product of four positive integers is 10!...find the minimum possible sum they can have..

A no. which when divided by 7, 11, 13 leaves remainders of 5, 7, 8 respectively. if all such nos less than 10,000 are added, what will be the remainder when this sum is divided by 11?

a) 2

b) 3

c) 4

d) 5

There are 3 Inlet Pipes who diameter are 1m, 2m, and 3m,respectively. Rate of flow is Directly proportional to diameter Square. Find the time taken to fill an empty tank, When all three pipes are open, given that smallest pipe takes 9 minutes.

What is the remainder when 23^23 is divided by 13?

N consecutive natural numbers have a sum of 500. How many values can N take?

4

5

6

8


P beats A in a kilometer race by 50s. and R by 450m. If A and R run a kilometer race A wins by 40s. How much time does R take to run a Kilometer.

@lavneet @harshroy

out of 3 indians , 3 australians,2 south africans,2 sri lankans and 1 english

what is the probability?
1. that captain and vice captain are both indian?
2. neither the captain nor vice captain is indian?
3. the captain and the wicket keeper are both indian?

The number 44 is written as a product of 5 distinct integers. If 'n' is the sum of these five integers

then what is the sum of all the possible values of n?

(a) 11 (b) 23 (c) 26 (d) 32


the police came to know that a notorious thief is at village at 9 am.they manage to cordon off a circular area of radius 5 m around the village by 10 am.if its is know that thief can not travel more than 15km in this time.what is the probability the thief will be caught??

a point(p,q)is taken within the region defined by 0.what is the probability that

1 p+q>=2
2 p>=q
3 Pq4 P>=q given that q

A number of 9 digits has the following properties:


(A)
The number comprising the leftmost two digits is divisible by 2, that comprising the leftmost three digits is divisible by 3, the leftmost four by 4, the leftmost five by 5, and so on for the nine digits of the number i.e. the number formed from the first n digits is divisible by n, 2


(B) Each digit in the number is different i.e. no digits are repeated.


(C) The digit 0 does not occur in the number i.e. it is comprised only of the digits 1-9 in some order.


Find the number 👍

@harshroy

A and B racing in the same direction, on a circular track of 1km. In a 500m racea can give B a start of 100m.

Q1. If A and B start simultaneously on a circular track, Find after how many rounds of A Would two be together for the first time ?? OA - 5 Rounds

Q2. When A meets B for the first time, B has made 3 Rounds, What is the lead that B gives to A ??
OA - 250