Official Quant thread for CAT 2013

more thn 501 students in a class 21% like cricket and 22% like hockey what will be minimum number in the class

there is one grandfather, 5 sons and daughters and 8 grandchildren in a family. they are to be seated in a row for dinner . the grandchildren wish to sit at both the ends 4-4 seats .and the grandfather refuses to have a grand child on either side of him. more over he will seat on the centre of the row. find the number of ways in which family can be made to sit :

Q2

QuantExpert - Q.O.D


If a man cycles at 10KMPH then he arrives at a certain place at 1 PM.

If he man cycles at 15KMPH then he arrives at a certain place at 11 AM

At what speed must he cycle to get there at noon.

@vbhvgupta

If a man cycles at 10KMPH then he arrives at a certain place at 1 PM.

If he man cycles at 15KMPH then he arrives at a certain place at 11 AM



At what speed must he cycle to get there at noon.

Ans 12 KMPH.

x = 10(t)

x = 15(t-2)

Gives t = 6 hrs

and 10t - v(t-1)

Gives v =12 kMPH

Ram an Shyam run a race between pt A and B, %km apart. Ram start at 9AM from A at a speed of 5KM/HR, reaches B, and returns to A at the same speed. Shyam starts at 9:45AM from A at a speed of 10KM/HR, reaches B and comes back to A at the same speed. At what time do Ram and Shyam first meet each other?

an ant is on one vertex of the triangle probability of going to another vertex is 1/2. What is probability of reaching back to its orignal vertex after 7 moves ?

@abhishekhenry

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?



option 1 , 5 , 4 and 6



1. 1



2. 5



3. 4



4. 6 Skip



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is it 1..


Just found out this blog. It's new, but questions are good.

APTICENTRE

In triangle ABC, we have /_ BCA = 3 /_CAB, BC = 343 and AB = 504. What is AC?





Find the largest and second largest prime number p such that p² divides 2009! + 2010! + 2011!


After 9'o clock at what time between 9 pm n 10 pm will the hour hand & minute hands of a clock point in opposite direction.
15 mins past 9
16 4/11 past 9
17 1/11 past 9
none

EXPLAIN PLZ>> from scratch

John has 3 unique coins such that the probability of obtaining a head when the coin is flipped is 1/10, 2/10 and 3/10, respectively. If he flips each of the 3 coins once, the probability that at least 1 heads appears is p. What is the value of 1000p?

What is the number of ways to get 16 as the sum while throwing a dice five times in a row?

1)567 2)824 3)735 4)777 5)999


Triangle ABC has /_ABC=90* and /_CAB=30*. Triangle DAC has /_DAC=90* and /_CDA=30*. Similarly, triangle EDC has /_EDC=90* and /_CED=30*. If EC=136, what is the value of BC?

Triangle ABC has /_BAC=20* and /_ACB=75*. P is a point in the interior of triangle ABC. Points D,E and F lie on BC,CA and AB, respectively, such that A,E,P,F are concyclic and C,D,P,E are concyclic. What is the measure (in degrees) of /_DPF?

Circle A with center O is tangential to PA at A. Line PO extended intersects A at B (i.e. PO

what is the remainder when 128 ^ 1000 is divided by 153 ??

Each unit square of a 3-by-3 unit-square grid is to be colored either blue or red. For each square, either color is equally likely to be used. The probability of obtaining a grid that does not have a 2 by 2 red square is a/b, where m and n are relatively co prime positive integers. Find a+b.

Find the sum of all 2 digit numbers N=10a+b, where a≠0, such that N divides 100a+b