Search found 18 matches


Number of words

Eight different letters of an alphabet are given.
Words of four letters from these are formed.
The number of such words with atleast one letter repeated is:

(a) \binom{8}{4}-^8P_4
(b) 8^4+\binom{8}{4}
(c) 8^4-^8P_4
(d) 8^4-\binom{8}{4}

by rahul goyal

Thu Aug 12, 2010 1:53 am
Forum: Problem Solving
Topic: Number of words
Replies: 1
Views: 894

OG 12 ed: page180 q. 195 A store currently charges the same price for each towel that is sells. If the current price of each towel were to be increased by $1, 10 fewer of the towels could be bought for $ 120, excluding sales tax. What is the current price of each towel A. $1 B. $2 C. $3 D. $4 5. $1...

by rahul goyal

Wed Aug 11, 2010 10:56 pm
Forum: Problem Solving
Topic: OG 12 ed: towels question
Replies: 14
Views: 3805

there are a few ways to solve this problem 1. using combinatorics concept there are 6!/(2!4!)=15 ways of selecting group of 2 people from this group six workers next, using the "reducing the pool concept" ... if Jose and Joshua MUST be chosen, then there is only way to do that i.e. 1 * 1 ...

by rahul goyal

Wed Aug 11, 2010 10:30 pm
Forum: Problem Solving
Topic: Probability
Replies: 5
Views: 7095

1.If N is a perfect square, then the number of factors of N will ALWAYS be an ODD number. 2.If N is a NON-perfect square, then the number of factors of N will ALWAYS be an EVEN number. Are the above 2 properties correct? 1.If N is a positive integer which is a perfect square, then the number of fac...

by rahul goyal

Wed Aug 11, 2010 10:11 pm
Forum: Problem Solving
Topic: Number Properties
Replies: 9
Views: 1448

selango wrote:C=k/R

4=K/R

C=k/(1/3*R)

C=3*k/R=3*4=12
Thank you selango.we have to answer quickly in this way.

by rahul goyal

Wed Aug 11, 2010 9:59 pm
Forum: Problem Solving
Topic: Proportaions
Replies: 3
Views: 1055

A machine requires 480 ounces of oil everyday, and it is given a mixture of oil A and oil B. Oil A consists of 5% special additives while oil B consists of 8% special additives. If the machine needs exactly 30 ounces of the special additives to ensure smooth operation, then how much of oil A, in ou...

by rahul goyal

Wed Aug 11, 2010 12:21 am
Forum: Problem Solving
Topic: Percentages
Replies: 2
Views: 959

Find the exponent of 3 in 100!. please help me to solve it............ Divide 100 by powers of 3 to get the exponent of 3 in 100! 100/3 = 33 100/9 = 11 100/27 = 3 100/81 = 1 Hence exponent of 3 = 33+11+3+1 = 48 Hope this helps!! thank u very much .......i understood how to solve it.......you are si...

by rahul goyal

Tue Aug 10, 2010 11:59 pm
Forum: Problem Solving
Topic: how to solve these ps question
Replies: 6
Views: 1100

I just got this problem on MGMAT CAT 3, the official answer was B, which I disagree with. Question: "It takes the high-speed train x hours to travel the z miles from Town A to Town B at a constant rate, while it takes the regular train y hours to travel the same distance at a constant rate. If...

by rahul goyal

Tue Aug 10, 2010 11:50 pm
Forum: Problem Solving
Topic: Rate Problem
Replies: 5
Views: 6247

Expected number

4 bad apples accidentally got mixed up with 20 good apples.
In a draw of 2 apples at random, expected number of bad apples is
(a) 1
(b) 2/3
(c) 1/3
(d)1/6

by rahul goyal

Tue Aug 10, 2010 10:02 pm
Forum: Problem Solving
Topic: Expected number
Replies: 1
Views: 1270

The ratio, by volume, of acid to base to water in a certain solution is 4:15:20. The solution is altered so that the ratio of acid to base is 3:5 and the ratio of acid to water remains same. If the solution initially contained 30mm of base, what is the minimum amount of water that could be added in...

by rahul goyal

Tue Aug 10, 2010 9:38 pm
Forum: Problem Solving
Topic: Ratios and Mixtures
Replies: 10
Views: 4598

selango wrote:ax^2+kx+n=6x^2-11x-10

a=6

k=-11

n=-10

a-n+k=6+10-11=5

Pick A
Thank you selango it is better way.

by rahul goyal

Tue Aug 10, 2010 2:06 am
Forum: Problem Solving
Topic: value of a - n + k?
Replies: 3
Views: 1067

Good question. I learned that, for these, you should break the non-prime bases down to primes to make all of the bases consistent: 5^21 * (2^2)^11 = 2 * (2*5)^n 5^21 * 2^22 = 2 * 2^n * 5^n Then because the only way to get 5^21 is through that 5 term, n would be 21, and it works because there are 22...

by rahul goyal

Tue Aug 10, 2010 1:47 am
Forum: Problem Solving
Topic: Exponents
Replies: 4
Views: 1182

nithi_mystics wrote:66 balls

21 white + 22 green + 23 blue or
21 white + 22 blue + 23 green
Thanks Nithi.But give the explanation for clear idea.

by rahul goyal

Mon Aug 09, 2010 11:57 pm
Forum: Problem Solving
Topic: 21 white balls, 24 green balls and 32 blue balls
Replies: 4
Views: 1472

can you please explain how is OAP 70 The angle at the centre of a circle is twice the angle at the circumference if both angles stand on the same arc. This is called the Angle at Centre Theorem. Refer to this link for proof: http://www.mathsteacher.com.au/year10/ch06_geometry/08_angle_at_centre/cir...

by rahul goyal

Mon Aug 09, 2010 11:46 pm
Forum: Problem Solving
Topic: Gmat prep geometry
Replies: 8
Views: 1305

Help me, for solve this problem

Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0.
If the equation to one diagonal is 11x+7y=9,
Then the equation of the other diagonal is:
(a) x+2y=0
(b) 2x+y=0
(c) x-y=0
(d) none of these

by rahul goyal

Mon Aug 09, 2010 8:57 pm
Forum: Problem Solving
Topic: Help me, for solve this problem
Replies: 2
Views: 1030