Official Quant thread for CAT 2013

Pia and Ria start running simultaneously from the same point on a circular track of length 4200m.If they run in the opposite directions , they meet for the first time exactly 2 minutes from the start and they meet at 7 distinct points on the track. If they run in the same direction,they meet at 3 distinct points on the track.How much time does Ria take ( in minutes ) to complete one round ? (Edited )

1.3.5
2.7
3.10.5
4.CBD 👍

Just a normal question as

Remainder can't be negative eg -11/3 remainder is 1 and quetiont -4
So by using remainder therom in
f (x)=x^2-5x+2 divided by x-1 remainder is -2 how can be it negative

The average marks of the girls in a class is equal to number of boys and the average marks of boys is equal to number of girls. If the class average is 4 less than the average of both boys and girls average marks, what will be the number of students in a class?

The sum of all values of a

such that the equation

(x^2−x+a+1)^2=4a(5x^2−x+1)

has exactly three distinct real solutions, is of the form

(n+sqrt(k))/m

, where k,m,n are integers, k≥0, m≥1 and m is the smallest possible.
Find
k+n+m.

the price of shirts at sahara ganj is defined as Rs. (100 + 10x²), where x is no. of shirts. Mallika purchased 5 shirts from the above shop. The average price of a shirt is ?

the price of shirts at sahara ganj is defined as Rs. (100 + 10x²), where x is no. of shirts. Mallika purchased 5 shirts from the above shop. The average price of a shirt is ?
what if sister of mallika purchased k shirts but average price was same as that of mallika. The value of k??

How many 6 digit numbers contain exactly 4 different digits? OA 294840


Please someone explain

Six white and six black balls of the same size are distributed among ten urns so that there is at least one ball in each urn. What is the number of different distribution?

OA =26250

Five red cards numbered 1,2,3,4,5 and two black cards both numbered 5 are randomly ordered face-down into a pile. The cards are flipped over one at a time until either the sum of the numbers on the red cards is at least 10, or the sum of the numbers on the black cards is at least 10. The probability that the sum of the black cards reaches 10 first can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?

there are 10 compartments in passenger train which carries on an average 20 passengers per compartment. If at least 12 passengers are sitting in each compartment and no any compartment has equal no. of passengers then maximum how many passengers can be accommodated in any compartment?

there are twice the number of two wheelers as there are three wheelers and the number of 4 wheelers are equal to no. of two wheelers. the average no. of wheel per vehicle is ??

The average height of the girls of a class is 155cm and the average height of boys of the class is 4 cm more than the average of the class.If the number of girls is 205 less than the number of boys, what is the average height of the boys??

two persons start from opposite end of a 90 km straight track and run to and fro between two ends. The speed of first person is 30 m/s and the speed of other is 125/6 m/s. they continue their motion for 10 hrs. how many times they pass each other?

Help Needed 😃


A man, starting from a point P, takes exactly six equal steps. Each step is in one of the four directions – East, West, North and South. What is the total number of ways in which the man ends up at point P after the six steps?

(a) 200 (b) 256 (c) 400 (d) 512

Q2

QuantExpert - Q.O.D


The sum of the digits of a 4 digit no is 31.What fraction of such numbers are divisible by 11?👍

1 )1/4
2 )1/5
3 )1/6
4 )NOT

The age of A & B is in the ratio 2:6.After 5 years, the ratio of their ages will be 6:8.Find the average of their ages after 10 years?
😁

A container is filed up to half of its total volume with liquids L1 and L2 in the ratio 3:7.L1 and L2 evaporate at the rate of 25l/hr and 20l/hr respectively.After an hour the container is filled completely by adding another mixture which contains L1 and L2 in the ratio 2:3.The final ratio of L1 and L2 is the container becomes 1:2.What is the volume of the container in liters ? 👍

In a family of 8 males n a few ladies,the average monthly consumption of grain per head is 10.8 kgs.If the average monthly consumption of male is 15 kg n female is 6 kg....Find the number of females????

there are rolls of 6 meters and 9 meters ribbons. Tailor master wants to cut greatest pieces from these (in cms) but less than 50 cm. Find how many pieces will he obtain by cutting largest pieces as required by him?