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

Since multiple of the LCM & GCF is equal to the product of the two numbers, so from st. 1: 840 * 56 = x * y which is insuff. to find the value of x From st. 2: we cannot determine the value of x Combining the two statements we can determine the value of x which satisfied the both the statements. So my answer is also C.

From the explanations given by Re-take and Namit is to confirm both x is a fraction and x is less than 0. But the question is asking whether |x| So it is only asking that whether x is a fraction or not. Therefore, I also agree with A.

From St. 1: x! = |x - 1|! It is only possible with x = 1 because 1! = |1-1|! => 0! => 1 and when x = 0 then also the above equation is satisfied. From st. x! = (x + 1)! The above equation is satisfied only when x = 0 So the answer is B.

Is the paralellism havng parallel noun construction.

Imo C

Imo C

Retake-Thanks for the explanation.

Thanks fiver for the nice explanations

IMO it is A C C E OA please

One automobile manufacturer has announced plans to increase the average fuel efficiency of its SUVs by 25% over the next 5 years, amounting to roughly 5 miles per gallon, and representing the first significant change in the fuel efficiency of any class of passenger vehicle in almost 2 decades. (b) amounting to roughly five miles per gallon, and it would represent it wrongly refers to the plural subject plans. © an increase that would amount to roughly 5 miles per gallon and it would represent sane as B above (d) an increase that would amount to roughly five miles per gallon and would represent here by using 'an increase' clarify the statement by inseting a noun and 'and would represent' correctly puts the second part of the sentence in the parallel to the 'plans to increase ...... and reperesent ....' with keeping the simple past tense. (e) which is an increase amounting to roughly 5 miles per gallon, representing. incorrect reference of which to phrase 'amounting to .... gallon'