math exams

Contest2

2018-08-13T16:31:00.002-07:00

Contest1

2018-08-07T13:14:00.001-07:00

GMAT test1

2014-06-22T15:36:00.003-07:00

Q1. If $3x-21y=15$, then $7y-x$ is

$-5$
$5 $
$3 $
$7 $
Cannot be determined

Q2.

Question 02/07/2013 3.12

2013-07-02T12:14:00.004-07:00

How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers?

Ans : 67 600 000

Question 12/31/2012 10:06

2012-12-31T19:11:00.004-08:00

What is the probability that the arrangement has both consecutive W's and consecutive Y's in WYSIWYG?

Ans. 0.0952

Question 12/26/2012 5:58

2012-12-26T13:10:00.005-08:00

A group of students consists of 4 boys and 4 girls. How many ways are there to select 2 students of same sex from the group.

Ans. 12

Question 12/25/2012 2012 7:23

2012-12-25T16:24:00.006-08:00

In how many ways may fifty-two cards be divided amongst tour players, so that each may have thirteen ?

Ans. $\frac{52!}{(13!)^4}$

Question 12/25/2012 6:57

2012-12-25T15:58:00.000-08:00

In how many ways can three boys divide twelve oranges, each taking four, the oranges being all of different sizes ?

Ans. 34650

Question 12/25/2012 5:45

2012-12-25T14:44:00.001-08:00

Four flags are to be hoisted on one mast, and there are twenty different flags to choose from : what choice have we ?

Ans. 116280

Question 12/25/2012 4:22

2012-12-25T13:22:00.004-08:00

Probability of n Heads in 2n Tosses of a Coin?

Ans. $\frac{(2n)!}{{(n!)^2}{2^{(2n)}}}$

Question 12/24/2012 9:47

2012-12-24T18:47:00.004-08:00

In how many ways can the following letters be divided between two persons :

a, a, a, a, b, b, b, c, c, d?

Ans. 118

Question 12/24/2012 9:37

2012-12-24T18:37:00.004-08:00

In how many ways can six different things be divided into two parcels ?

Ans. 31

Question 12/24/2012 9:23

2012-12-24T18:24:00.004-08:00

There are twenty candidates for an office, and seven electors. In how many ways can the votes be given ?

Ans. 1280000000

Question 24/12/2012 7:14

2012-12-24T16:15:00.004-08:00

In how many ways can you arrange on a shelf 6 books out of 10 (distinct) books?

Ans. 151200

Question 12/24/2012 1:59

2012-12-24T11:01:00.005-08:00

How many integers between 100 and 999 inclusive consist of distinct odd digits?

Ans. 60

Question 11/23/2012 11:211

2012-12-23T20:22:00.000-08:00

Suppose it is estimated that the chance that A can solve a certain problem is $\frac{2}{3}$ , and the chance that B can solve it is $\frac{5}{12}$ ;let us consider what is the chance of the problem being solved when they both try.

Ans. $\frac{29}{36}$

Integration.

2012-04-29T17:12:00.001-07:00

Integration. Rules for integrating standard elementary forms

Question Calculus 28/03/2012 10:58

2012-03-28T20:12:00.001-07:00

$\int \! \frac{x^{2}}{\sqrt[4]{x^{3}+2}} \, \mathrm{d} x$

Ans $\frac{4}{9}({x^{3}+2})^{\frac{3}{4}}+C$

Question Calculus 28/03/2012 10:45

2012-03-28T19:56:00.000-07:00

$\int \! \frac{1}{e^{x}+1} \, \mathrm{d} x$

Ans: $x-\ln|e^{x}+1|)+C$

Question Calculus 28/03/2012 10:10

2012-03-28T19:17:00.000-07:00

$\int \! \frac{(1+x)^{2}}{\sqrt{x}} \, \mathrm{d} x$

Ans $2x^{\frac{1}{2}}+\frac{4}{3}x^{\frac{3}{2}}+\frac{2}{5}x^{\frac{5}{2}}+C$

Question Calculus 28/03/2012 2:05

2012-03-28T11:09:00.000-07:00

$\int \! \frac{x^{3}}{x+1} \, \mathrm{d} x$

Answer $\frac{x^{3}}{3}-\frac{x^{2}}{2}+x-\ln(x+1)+C$

Question Calculus 28/03/2012 2:02

2012-03-28T11:03:00.000-07:00

$\int \! \frac{2x-1}{2x+3} \, \mathrm{d} x$

Answer $x-2\ln(2x+3)+C$

Question Calculus 28/03/2012 1:52

2012-03-28T11:00:00.000-07:00

$\int \! \frac{1}{x^{3}} \, \mathrm{d} x$

Answer $-\frac{1}{2x^{2}}+C$

Question Calculus 5/03/2012 11:15

2012-03-05T20:17:00.000-08:00

$ \lim_{x \to \infty} \frac{x^2x^{\frac{1}{2}} -1}{x^{3}+x^{2}-6} $

Answer : 0

Question Calculus 5/03/2012 11:11

2012-03-05T20:14:00.000-08:00

$ \lim_{x \to 3} \frac{6-\frac{18}{x}}{x-3} $

Answer : 2