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is n<s<n^2? (1) s>n (2) s=(n+1)n/2 Is n<s<n^2 ? Statement 1: s>n can we conclude s<n^2 ? If say, n=2, s=2.1, n^2 =4 => s<n^2 However, if n=2, s=5, n^2 = 4, then s>n^2 Hence, it is Insufficient Statement 2: s=n(n+1)/2 If, n=0.5, s = 0.5*0.6/2 = 0.15, n^2 = 0.25 then s<n and s<n^2 But if, n=2, s=2*3/...

by anshumishra

Sun Apr 10, 2011 5:38 am
Forum: Problem Solving
Topic: [DS][numbers] HSPA posts
Replies: 5
Views: 956

A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 12:00, how many...

by anshumishra

Sat Apr 09, 2011 8:04 pm
Forum: Problem Solving
Topic: clock problem
Replies: 4
Views: 1046

1) a couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys? a. 3/8 b. 1/4 c. 3/16 d. 1/8 e. 1/16 OA is A #Total number of outcomes (i.e. number of ways to...

by anshumishra

Sat Apr 09, 2011 7:54 pm
Forum: Problem Solving
Topic: probability
Replies: 6
Views: 2837

1) a couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys? a. 3/8 b. 1/4 c. 3/16 d. 1/8 e. 1/16 OA is A #Total number of outcomes (i.e. number of ways to...

by anshumishra

Sat Apr 09, 2011 7:40 pm
Forum: Problem Solving
Topic: probability
Replies: 6
Views: 2837

A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 12:00, how many...

by anshumishra

Sat Apr 09, 2011 2:17 pm
Forum: Problem Solving
Topic: clock problem
Replies: 4
Views: 1046

what is the 60th term in following sequence : 1, 2, 4, 7, 11, 16, 22, ... 1671 1760 1761 1771 1821 t(1) = 1 t(2) = t(1) + 1 t(3) = t(2) + 2 = t(1) + (1+2) t(4) = t(3) + 3 = t(1) + (1+2+3) ......... The nth term for this sequence , t(n) = t(1) + [1+2+3+...+(n-1)] So, t(60) = t(1) + (1+2+3+...+59) = ...

by anshumishra

Sat Apr 09, 2011 2:02 pm
Forum: Problem Solving
Topic: seq
Replies: 1
Views: 607

I am sorry, when I said question 3, I meant this question; 3. Ix-yI > IxI - IyI a. Y < x b. Xy < 0 You may use PIN, if the algebraic method looks tedious to you : Is |x-y| > |x| - |y| ? Statement 1: y < x Let say, y = 1, x= 2 |x-y| = |2-1| = 1 |x|-|y| = |2|-|1| = 1 ; So |x-y| = |x| - |y| ---- (i) C...

by anshumishra

Tue Mar 15, 2011 7:37 pm
Forum: Problem Solving
Topic: Data Sufficiency
Replies: 13
Views: 1699

If x < p < q < y, is |q - x| < |q - y| ? (1) |p - x| < |p - y| (2) |q - x| < |p - y| If you draw them on number lines, there are two possible representation based on the facts given : ---x---p---(x+y)/2---q----y--- OR ---x---p---q-----(x+y)/2-------------y---- Q: |q-x| < |q-y| => is distance of x f...

by anshumishra

Tue Mar 15, 2011 4:03 pm
Forum: Data Sufficiency
Topic: abs
Replies: 4
Views: 729

A sign will be painted using a certain palette consisting of 9 colors, including light blue. One of the 9 colors will be selected at random and used to paint the border of the sign, one of the remaining 8 colors will be selected at random and used to paint the background of the sign, and one of the...

by anshumishra

Tue Mar 15, 2011 3:18 pm
Forum: Problem Solving
Topic: COmputo combo
Replies: 3
Views: 1125

The …ve sides of a pentagon have lengths of 2, 3, 4, 5, and 6 inches. Two pentagons are considered di¤erent only when the positions of the side lengths are di¤erent relative to each other. What is the total number of di¤erent possible pentagons that could be drawn using these …ve side lengths?...

by anshumishra

Tue Mar 15, 2011 1:49 pm
Forum: Problem Solving
Topic: counto 3
Replies: 2
Views: 634

A committee of three people is to be chosen from the president and vice president of four di¤erent companies. What is the number of di¤erent committees that can be chosen if two people who work for the same company cannot both serve on the committee? (A) 16 (B) 24 (C) 28 (D) 32 (E) 40 No. of ways...

by anshumishra

Tue Mar 15, 2011 1:28 pm
Forum: Problem Solving
Topic: combo 2
Replies: 1
Views: 660

Of the three-digit integers greater than 750, how many have at least two digits that are equal to each other? (A) 56 (B) 70 (C) 72 (D) 74 (E) 78 Method 1 : Total 3 digit numbers greater than 750 = 249 Total number of numbers having unique digits = Total no. of unique digits between 800 to 999 + Tot...

by anshumishra

Tue Mar 15, 2011 1:16 pm
Forum: Problem Solving
Topic: counto
Replies: 2
Views: 686

Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number L repesents the median of Set A, number M repesents the median of Set B, and number Z = L ^ M. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26? A) -2 B) -1 C)...

by anshumishra

Mon Mar 14, 2011 7:00 pm
Forum: Problem Solving
Topic: Mode, Median: Set
Replies: 2
Views: 719

I just wanted to apply what I have learned on this particular problem: A manager needs to hire 3 people to work in her marketing department, and one of which is to be the team leader. If there are 10 potential candidates, how many distinct ways can she fill these three positions? In this case, ther...

by anshumishra

Mon Mar 14, 2011 6:37 pm
Forum: Problem Solving
Topic: Difficult combination problem
Replies: 13
Views: 6787

1. Find the solution set for the following inequality |3x - 2| ≤ |2x - 5|? Alternate Approach : I am sure most of you are quite comfortable with drawing the line : y = |x| {If you are not, it is simply y=x for x>=0, and y=-x, for x<0} Using this approach, as shown in the diagram we have to just s...

by anshumishra

Mon Mar 14, 2011 6:22 pm
Forum: Data Sufficiency
Topic: Three Alegbra Problems
Replies: 19
Views: 2860