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GRE Questions and Answers

• What is a syllogism?
What is a syllogism?
An extremely subtle, sophisticated, or deceptive argument.

• Which one of the following options is correct in the given case? The length of a rectangle is 2 times that of the width and the length of each diagonal of the rectangle is SQRT (20).  Given:...
Which one of the following options is correct in the given case? The length of a rectangle is 2 times that of the width and the length of each diagonal of the rectangle is SQRT (20).  Given:...
Quantity B is greater.ANS. B (Let the Length is L & Width is W As per question, L = 2W So W^2 + (2W)^2 = (SQRT (20))^2 Or 5W^2 = 20 Or W = 2 and L = 4 So Area of rectangle = L x W = 8 (Quantity A) And Perimeter = 2 (L + W) = 12 (Quantity B) So Quantity B is greater.)

• Ephemeral
Ephemeral
Laconic

• A piggybank of a boy contains 3 coins of 50 cents, 3 coins of 25 cents and 3 coins of 10 cents. 3 coins are drawn at random from the piggybank. Quantity A ...
A piggybank of a boy contains 3 coins of 50 cents, 3 coins of 25 cents and 3 coins of 10 cents. 3 coins are drawn at random from the piggybank. Quantity A ...
The two quantities are equal.-ans. c (number of ways in which 3 coins can be selected from total 9 coins = 9(c)3 = (9x8x7)/(3x2x1) = 84. (permutation will not be used because there is no arrangement here, for example abc, acb, cab etc,) minimum possible amount will be when all drawn coins are of the least value i.e. 10 cents. number of ways in which 3 coins of 10 cents can be selected from 3 coins of 10 cents is 3(c)3 = 1. hence probability of getting the minimum possible amount = 1/84 (quantity a) similarly maximum possible amount will be when all drawn coins are of the highest value i.e. 50 cents. number of ways in which 3 coins of 50 cents can be selected from 3 coins of 50 cents is 3(c)3 = 1. hence probability of getting the maximum possible amount = 1/84 (quantity b) so both the quantities are equal.)