sanjeev_sharma

1. Josh and Marcia bought a number of chairs at an auction. The average price of the chairs Marcia purchased was $50, and the average price of the chairs Josh purchased was $62. If the average price of all the chairs purchased was $53, what was the ratio of the number of chairs purchased by Marcia to the number purchased by Josh? Ans. Let numbero f chairs purchased by Josh is J & by Marcia is M. So the average price of the total purchase is => 53*(J+M) = (62*J + 50*M) => 12J = 3M so M/J = 4

Probability to select a red ball = 4/10 and thereafter the probability to select 1 green ball = 6/9 So the combined probability = 4/10 * 6/9 => 4/15

Probility of new color not to be jaune = 5C3 / 9C3 = 5!/(3! 2!) / 9! / (3! 6!) => 5*4*3/(9*8*7) => 5/42 So probabilty of the color to be juane = 1- 5/42 => 37/42

5c3 = 10

Nos. of arrangement 5 people sitting on 5 chairs = 5P5 = 5! Now considering couple sitting together as one person then there are only 3 persons then the possible number of arrangements = 3p3 = 3! But since there person in the couple can sit in either a & b or B & a so there are another 2P2 = 2! & for second couple = 2! So total number of ways couple can sit together = 3! 2! 2! So the probability = 3! 2! 2! /5! = 1/5 Hence the probability of not sitting together = 1-1/5 = 4/5.

IMo is C. Since from St. 1, n is odd number, so for n =1 we have r = 0, for n = 3 we get r = 6 So its. insuff. St. 2 says that n is not a factor of 3 i.e. n = 1,2,4,5,7 etc. So for different values of n, r is different. So st. 2 is insuff. Now combining both the St.s n = 1,5,7,11,13,17 etc. But for all values of n, r is 0

Here the question is not talking of the replacements and there are 10different stamps. So there is no chance of picking the same samp. So the answer is 7C3/10C3 = 7/15.

Any other simpler method.

A & B are ruled out as it gives both positive & negative integers for x & y Now using both the st. x-y >-2 x-y = -2 + A, where A is a positive number ----- (1) x-2y x-2y+B = -6, where B is a positive number ----- (2) (1) - (2) y - B = 4 + A => y = 4+A+B i.e y is a positve number. If y is positive number then from (1) x is also a postive number, thus xy>0 SO the answer is C

IMO C i.e. x/(2x+1) will be slightly less than 1/2 and not exactly 1/2. Rest of the option are too far from 1/2.

IMO is also B

Any clues

x = 9,10,11,1,0, &-1 So 6

Substitution of the values is the best approach.

Total number of inspection done by inspector A = quotient of (98/5) = 19 and inspections done by inspector B = quotient of (98/3) = 32 and the number of widgets inspected by both A & B = quotient of (98/15) = 6 So the total number of widgets inspected by both A & B = 19+32-6 => 45