Official Quant thread for CAT 2013

There are 5 older sisters and 5 younger sisters (i.e. each older sister has one younger sister and each younger sister has one older sister ) Each of the five older sisters – Ariha, Bethel, Chloe, Disha and Evin, whose ages are distinct, has a younger sister among Paula, Karla, Rita, Shipra and Tara, not necessarily in the same order. We know the following information about them.

A) For every pair of older sister and younger sister, the difference between the age of the older sister and her younger sister is the same.

B) Evin is not the older sister of Rita. Ariha is elder than Chloe.

C) Tara is the younger sister of neither Disha nor Bethel but younger than Shipra, whose older sister is older than Bethel.

D) Tara has as many younger sisters younger than her as older than her.

E) Ariha and Evin are the eldest and the youngest among the five older sisters.

F) Bethel's younger sister is not younger than Rita but elder than Paula.

Direction:

Question:

Among the younger sisters who is the oldest?

Options:

1.

Rita

2.

Karla

3.

Shipra

4.

Either (A) or (B)

5.

Either (B) or (C)

SUGGESTIONS NEEDED : My friend has got a job in a small scale company i.e. an office where only two people work!! they manufacture electronic stuffs!! controllers and other stuffs!! they pay him by cash directly on hand!!how does he justify his experience in the interview of b-schools?? do they accept certificates or only pay-slips??

Remainder when 39! is divided by 41? ans: 1

Guys , Please mention the approach other than wilson's theorem. If this can be done only with wilson's theorem then please elaborate properly. I am not able to apply it. Thank You

guys plz suggest me some books for quant preparation...............

Sum of five consecutive terms of an increasing geometric progression is 211. It is known that all the five terms are positive integers. Find the number of perfect squares among these five terms.People who post their answers kindly explain along with the ans ur approach

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how many distinct postive integers {a,b,c} can form abc=210.Any idea


Ram and Shyam start running from opposite ends of a 200m long road simultaneously towards each other. They instantly turn as they reach either of the end and continue running towards other end. Both of them stop running as they reach either of the end simultaneously for the first time.How many times Shyam had overtaken Ram in their journey if their speeds are 70m/s and 40m/s respectively?

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Two horses are tethered at the midpoints of two adjacent sides of a square field. Each of them is tied with a rope that does not allow it to go beyond the centre of the field for grazing. If the length of a side of the field is 8 m, what is the ratio of the areas of grazed to non-grazed regions?

minimum value of 2^sinx+2^cosx is

in how may ways 152100 can be expressed as a product of two diff prime nos?
a.24
b.36
c.39
d.40

find the max value of product xy(72-3x-4y) for positive x and y.

ans not available. please share approach.

@DespicableA

find the max value of product xy(72-3x-4y) for positive x and y.

ans not available. please share approach.



@DespicableA

find the max value of product xy(72-3x-4y) for positive x and y.

ans not available. please share approach.



i am getting 936 is it right.

@shinchu

in how may ways 152100 can be expressed as a product of two diff prime nos?a.24b.36c.39d.40



is it coprime number or prime no.

Hi everyone,I want to know how can i solve these types of problems?


A said to B, “I am four times as old as you were, when I was old as you are now”.If the sum of their ages is 104 find the age of B

data interpretation question
pls provide the solution.

what is the maximum perimeter of a square in a rectangle of sides 25X20m?

the length of steps of A,B,C are in the ratio 3:4:5 and the number of steps that they take per unit time are in the ratio 20:15:12. A,B,C start together at a point with their right feet. by the next occasion when they all raise with their right feet together ,what is the total number of steps taken by the three ?

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If |(a − b + c)(b − c + a)(c − a + b)| = 15 ,where |x| has its usual meaning , then the possible number of ordered integral triplets (a,b,c) are
(a)36 ( b)33 (c)66 (d)60 (e) None of the foregoing

From a cylinder of height 3 cm and radius 2 cm , two identical cones each of height 2 cm are to be cut such that they have the maximum volume. The volume of a cone will be (in cubic cm)

(a) (2/3)*pi (b) (5.12/3)*pi (c) (6.16/3)*pi (d) (7/3)*pi (e) none of the foregoing

n=(323232.......50digits) i.e. in base 9.Find remainder when n is divided by 8

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