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Smallest prime factor

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I need the approach to solve such questions. Any pointers?

by carefreeamit

Sat Sep 06, 2008 6:57 pm
Forum: Problem Solving
Topic: Smallest prime factor
Replies: 3
Views: 1463

Option 1-
3x + 1 = 3(4n + 2) + 1
= 12n + 7

Since 12n will always be even, 12n+7 will always be odd. i.e. not divisible by 0. --Sufficient

Option 2 - is not sufficient


Ans A

by carefreeamit

Mon Aug 25, 2008 10:48 pm
Forum: Data Sufficiency
Topic: Set 23 Q11
Replies: 3
Views: 1302

The question asked is to calculate ratio of Migration rate of Male to Female. ska7945, you are assumption is fine but you should calculate the rate. As per your assumption - rate of Male migration = 10/30 = 1/3 rate of female migration = 40/70 = 4/7 ratio of rate of male migration to female migratio...

by carefreeamit

Mon Aug 25, 2008 7:26 pm
Forum: Problem Solving
Topic: geese migration
Replies: 5
Views: 2207

for first 20M sales ratio is = 3/20
for next 108M sales ratio is = 9/108 = 1/12

% decrease = ((3/20) - (1/12)) * 100/(3/20)
= (4/60) * 100/(3/20)
= 400/9 = 44.44
Ans C

by carefreeamit

Mon Aug 25, 2008 7:18 pm
Forum: Problem Solving
Topic: pharmaceutical co.
Replies: 1
Views: 1275

statement 1 is not sufficient
statement 2 -
-x|x|> 0
since |x| is positive -x should also be positive i.e. x is negative.
take any negative value of x and substitute.

Ans B

by carefreeamit

Mon Aug 25, 2008 12:23 am
Forum: Problem Solving
Topic: Inequalities
Replies: 6
Views: 1588

25 is 13th odd number and 79 is 40th odd number.
sum of odd integers from 25 to 79, inclusive = sum of odd integers till 79 - sum of odd integers till 23 (remember 25 needs to be included in the total)

= 40^2 - 12^2
= 1600 - 144
= 1456

by carefreeamit

Sun Aug 24, 2008 11:10 pm
Forum: Problem Solving
Topic: the sum of first n consecutive positive
Replies: 1
Views: 1275

Since the ratio of infected v/s non infected is not known you can not find the final ratio.
option E.

by carefreeamit

Sun Aug 24, 2008 10:50 pm
Forum: Data Sufficiency
Topic: percentage problem..
Replies: 3
Views: 3596

Both a and b are not sufficient in themselves.

If ry < 1 then rate of z is greater than rate of y. From 1, we already know that rate of x is less than rate of y. So rate of x is less than rate of z too.

Ans C

by carefreeamit

Sun Aug 24, 2008 10:37 pm
Forum: Data Sufficiency
Topic: Robots X, Y, and Z
Replies: 2
Views: 3495

I got answer as D. If Mary persuaded n friends and they in turn persuaded n friends each then in the first round total collected was = 500 * n In the second round total collected was = 500 * n^2 Total collection = 500(n + n^2) Option a First round collection/total collection = 1/16 (500n)/500(n + n^...

by carefreeamit

Sun Aug 24, 2008 10:22 pm
Forum: Data Sufficiency
Topic: Mary persuaded n friends
Replies: 1
Views: 2720

There are multiple possible values x and y. So I started with a value where x and y will be same and then if y has to be greater than x then y has to be greater than sqrt 2 and x has to be smaller than sqrt 2.

by carefreeamit

Sun Aug 24, 2008 4:36 pm
Forum: Problem Solving
Topic: triangular region
Replies: 7
Views: 7500

I think answer is C.
I can think of 2^2 and 2^4 after which 2^n becomes larger than n^2.
Correct me if I am wrong.[/spoiler]

by carefreeamit

Sun Aug 24, 2008 4:22 pm
Forum: Problem Solving
Topic: For how many integers n is 2^n = n^2 ?
Replies: 2
Views: 7594

Area of square = 1/2 * base * height
which is 1/2 * x * y ..z has to be the hypotenuse

so 1/2 * x * y = 1
x*y = 2
now if x and y are same then x = sqrt 2 and y = sqrt 2
but x is smaller than y so y must be greater than sqrt 2.
Ans A.

by carefreeamit

Sat Aug 23, 2008 9:11 pm
Forum: Problem Solving
Topic: triangular region
Replies: 7
Views: 7500

4 digit number means it should be >= 1000 and <= 9999.
The first place can be taken by 2,4,6,8 i.e. in 4 ways.
The second, third & fourth place can be taken by 0,2,4,6,8 i.e. 5 ways each.
So the number of positive integers will be = 4*5*5*5 = 500

Ans C.

by carefreeamit

Fri Aug 22, 2008 11:22 pm
Forum: Problem Solving
Topic: 4-digit positive integers
Replies: 3
Views: 14154