Official Quant thread for CAT 2013

Total Number of Solutions for the equation : x+5y+20z = 23.

Please post the method too.

Q3

QuantExpert - Q.O.D

@Umesh.Motwani

Find the number of three-digit numbers which when divided by 11 leaves the remainder of 9 and when divided by 7 leaves a remainder of 2



1) 11



2) 12



3) 14



4) 10 Skip



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This may be solved using some formula. But I want to someone to explain the formula if you use any. Thanks.

How many numbers below 100 can be expressed as a difference of two perfect squares in only one way? Please explain..


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0 voters

How many values of N exist such that N^2+24N+21 has only three factors

a] 0

b] 1

c] 2

d] 3

e] More than 3

At a certain store,only 4 varities of pencils and 4 varities of pens are sold.The price of a set of one of each of the varities of pens is 45.the price of a set of one of each of the 4 varities of pencils is 12.the price of the cheapest pencil is 1 and the combined price of three varities of pens are exactly twice the combined price of the other 3 varities of pencils.What the price of the costliest variety of pen.

A.24
B.23
C.22
D.25

OA : B.

Want to know the method to solve this question.

A, B, C and D are given a work to do. They can finish this work together in a certain number of integer days. However, they work two in a day and it is found that the compilation is completed when (A, B), (B,C) and (C,D) worked for respectively 5, 9 and 4 days or 7, 6 and 5 days. They could not have all together done the work in

8, 9, 10, 11 days ?

Two 1Ɨ1 squares are chosen from an 8Ɨ8 chessboard. What is the probability that they belong to a 4Ɨ4 square?

what is the criteria of the equation x^b + x^c +x^0 to have its roots on the circumference of an unit circle. chillfactor,scarecrow,vion,scrabbler please help(*N.B- not from any site)

i dont understand this H of n=1/1+1/2+⋯+1/n.(a normal harmonic progression)

WHAT IS NOT NORMAL IS-(HOW AND WHAT IS THE VALUE OF -

āˆ‘1/n*(H OF n)*(H OF nāˆ’1) = ? HOW TO FIND THIS?

The sum of squares of length of the sides of a triangle is 72. If two of the medians of the triangle are perpendicular to each other , Find the sum of the squares of the length of these medians ???

What are best methods to find whether a number is prime or not ? @Dazed-Confused @Marchex @ravi.theja @hexagon

If angles A, B and C are in AP, and angle B = 0 then X = cos A cos B cos C =
(1) 1
(2) SinA CosA
(3) Sin^2 A
(4) Cos^2 A
-@A

x^6/9 remainder is 1 where 100

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0 voters

If the circumradius and the inradius of a right angled triangle are 25 Cm and 6 Cm respectively the find the area of the triangle ???



168 sq. cm
336 sq. cm
294 sq. cm
CBD

A set S consists of 143 natural numbers, each of which is a perfect cube. The maximum number of elements of S that one can always find such that each of them leaves the same remainder when divided by 13 is

a)11

b)31
c)33
d)29

If a,b,c,d are positive real numbers then find a possible value of a/(a+b+d)+ b/(b+c+a) + c/(b+c+d) + d/(a+c+d)

(a)11/5 (b)17/3 (c)2 (d)11/9

@nramachandran

If a,b,c,d are positive real numbers then find a possible value of a/(a+b+d)+ b/(b+c+a) + c/(b+c+d) + d/(a+c+d)



(a)11/5 (b)17/3 (c)2 (d)11/9



D is the correct ans.....

The value of the expression will be between 1 and 2 mg

QA_practice papers - Google Drive

quants practice sets..

in a trapezium ABCD ,AB is parallel to CD . BD is perpendicular to AD . AC isperpendicular to BC .if AD=BC=15CM and AB = 25 CM , find the area of trapezium...



please explain the method