[Official] Quant Thread for 2015!

find the sum of all the positive integral solutions of the eqn : x^4 - 4y^4 = z^2 ? 

1 and 8 are the first two natural numbers for which 1+2+3+..+n is a perfect square. Which is the 4th such number?(I don't have the options) 

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Total number of numbers lying in the range of 1331 and 3113 which are neither divisible by 2, 3 or 5 is : 

a) 477    b) 594   c) 653    d) None of these 

Answer and approach please!! 😃

In how many ways can 1000 be written as a sum of consecutive integers?  

find the number of factors of 500 which are perfect cubes?

Find the smallest number with 15 divisors.

In how many ways  N = 2^3 . 5^4 . 7^2 .13 can be written as product of

a) Two mutually coprime natural nos.

b) three mutually coprime natural nos.

Let S=(3+3^2+3^3+..+3^400)-(7+7^2+7^3+..+7^201). The last two digits of S are:

hey puyz which is the best time institute branch in delhi?

XYZ college has three departments - junior, senior and PG - and 1000 students in all.


If the number of boys in the senior and PG sections combined is not less than the number of girls in these two sections combined, what is the maximum possible number of students in the senior section?

OPTIONS  

1) 199

2) 210

3) 200

4) 209

XYZ college has three departments - junior, senior and PG - and 1000 students in all.

                M          F          %

Junior     450       -           -

Senior      -           -           -

PG            -           -           10

%              -           40        X
If the number of males in the senior and PG sections combined is not less than the number of female in these two sections combined, what is the maximum possible number of students in the senior section?

OPTIONS  

1) 199

2) 210

3) 200

4) 209

which book is better for CAT arun sharma or Nishit Sinha for quant??? plz suggest

In a city, a survey was conducted among 500 people to find the popularity of three actors- Brad Pitt, Al Pacino and Gregory Peck. It is known that 150 people like atleast two of these actors. 380 like either Brad pitt or Gregory Peck. 280 like exactly one among the three. 80 like neither Brad Pitt nor Al Pacino. 280 like Brad Pitt or Al Pacino but not Gregory Peck.

1. How many like atleast one of the other two actors along with Gregory Peck?

a. 140

b. 90

c.100

d. 110

2. How many like all three actors

a.70

b.60

c.40

d. Cannot be determined

3.How many like only Brad Pitt?

a.200

b.160

c.170

d.220

The difference between LCM and HCF of two numbers is equal to sum of two numbers. How many such pair of numbers are possible such that the sum of the number not exceed 80?

Anyone got Arun Sharma, 6th edition? Need a solution for Chapter 5 - Percentages, LOD 3, Q. 38. Please help a QA-tard out 😫

Crew of 8 members rowing team are chosen from 12 men,of which 3 must row on one side only and 2 on other side only. Find number of ways of arranging the crew with 4 members on each side.

Sally and sue have a strong desire to date Sam, they all live on the same street yet neither sally nor sue knows where Sam lives.The houses on this street are numbered 1 to 99.

Sally asks Sam "Is your house number a perfect square?"He answers.Then Sally asks. "Is it greater than 50?"He answers again. Sally thinks she now knows the address of Sam's house and decides to visit.When she gets there,she finds out she is wrong.This is not surprising,considering Sam answered only the second question truthfully.

Sue, unaware of Sally's conversation, asks Sam two questions. Sue asks,"Is your house number a perfect cube?"He answers.She then asks,"Is it greater than 25?"He answers again.Sue thinks she knows where Sam lives and decides to pay him a visit.She too is mistaken as Sam once again answered only the second question truthfully.

Sam's house number is less than the number of the houses where Sue and Sally live, and that the sum of all three of their numbers is a perfect square multiplied by two.

Q1. What is Sally's house number?

(a)64 (b) 81 (c)25 (d)can't say

Q2. What is Sue's house number?

(a)64 (b) 81 (c)55 (d)can't say

@scrabbler @Highway66 @plant.waters  bhaio help


What is the remainder when 1 + 3 + 3^2 + 3^3+....+3^200 is divided by 13?

Wow you guys already started. Here I am taking chill pill and waiting for don't know what. :/