A bag contains 50 tickets numbered 1, 2, 3, 4.....50 of which five are drawn at random and are arranged in ascending order of magnitude. Find the probability that third drawn ticket is equal to 30.
a) 551/15134
b) 1/2
c) 551/15379
d) 1/9
e) 1/50
Showing posts with label Magoosh. Show all posts
Showing posts with label Magoosh. Show all posts
Overlapping Sets In An Interesting GMAT, GRE Quant Problem
There are 750 male and female participants in a meeting. Half of the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
(A) 75
(B) 100
(C) 125
(D) 175
(E) 225
GMAT GRE Probability Problem
Set A: {1, 3, 4, 6, 9, 12, 15}
If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
A. 3/14
B. 2/7
C. 9/14
D. 5/7
E. 11/14
If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
A. 3/14
B. 2/7
C. 9/14
D. 5/7
E. 11/14
Hard GMAT Mixture and Ratio Quant Problem
<After the problem solution, there is a refresher on ratios if you would like to review it>
How should a grocer mix 4 types of peanuts, worth 54 cents, 72 cents, $1.2,0, and $1.44 respectively per pound, so that the grocer will make a total mixture which is 96 cents per pound?
(A) 8:4:4:7
(B) 24:12:12:50
(C) 4:8:9:4
(D) 16:42:28:10
(E) Cannot be determined
How should a grocer mix 4 types of peanuts, worth 54 cents, 72 cents, $1.2,0, and $1.44 respectively per pound, so that the grocer will make a total mixture which is 96 cents per pound?
(A) 8:4:4:7
(B) 24:12:12:50
(C) 4:8:9:4
(D) 16:42:28:10
(E) Cannot be determined
GMAT Probability - Selection from a group
How many randomly assembled people do u need to have a better than 50% probability that at least 1 of them was born in a leap year?
3
9
27
54
81
3
9
27
54
81
700 Level GMAT PS Question
At a sandwich shop, all sandwiches sell for the same price. If the shop were to decrease the price of each sandwich, it would sell 5 more sandwiches per day its daily revenue would remain constant at $150. How much could a sandwich currently cost?
A. $3
B. $4
C. $5
D. $6
E. $10
GMAT and GRE Min/Max Quant Problem
A company produces baseball cards in equal numbers of regular packs of 16 and deluxe packs of 30. If, on a certain day a company produces 241 cards, what is the smallest number of additional cards the company needs to produce in order to maintain its regular production practice?
A) 5
B) 11
C) 21
D) 35
E) 46
GMAT, GRE Quant: Absolute Value Problem
Which of the following represents all the possible values of x that are solutions to the equation 3x=|x^2 -10|?
A. -5, -2, and 0
B. -5, -2 , 2, and 5
C. -5 and 2
D. -2 and 5
E. 2 and 5
Number line ratio GMAT Quant problem
A Straight Line is formed using two points A(3,3) and B(6,6). Another point P(x,y) lies between A and B such that AP/BP = 10. The coordinates of P are ____ ?
(A) (5, 5)
(B) ( 6 1/11,6 1/11)
(C) (6 3/11, 6 3/11)
(D) (3 6/11, 3 6/11)
(E) (5 8/11, 5 8/11)
700 Level GMAT, GRE Divisibility Quant Problem
If n = 14,444, which of the following operations will not yield a number that is divisible by 11?
A) n - 1
B) n + 10
C) n - 100
D) n + 100,000
E) n - 100,000
A) n - 1
B) n + 10
C) n - 100
D) n + 100,000
E) n - 100,000
GMAT, GRE Quant Mixture Problem
How must a grocer mix 4 types of peanuts worth 54 c, 72 c, $1.2 and $1.44 per pound so as to obtain a mixture at 96 cents per pound?
(A) 8:4:4:7
(B) 24:12:12:50
(C) 4:8:7:4
(D) 16:42:28:10
(E) Cannot be uniquely determined
Factors GMAT, GRE Problem
How many integers less than 200 will have only 3 factors?
A. 2
B. 4
C. 6
D. 9
E. 12
Geometry GMAT, GRE Problem
A. 45π
B. 27π
C. 24π
D. 18π
E. 9π
Algebraic Funds GMAT, GRE Algebra Problem
Ms. Morris invested in Fund A and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund A paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund A. How much did Ms. Morris invest in Fund A?
(A) $32,000
(B) $36,000
(C) $40,000
(D) $42,000
(E) $45,000
Mixture Problem: GMAT, GRE
24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?
A. 10
B. 20
C. 30
D. 40
D. 45
GMAT Min/Max Problem
If 7(a – 1) = 17(b – 1), and a and b are both positive integers the product of which is greater than 1, then what is the least possible sum of a and b?
A. 2
B. 7
C. 17
D. 24
E. 26
A. 2
B. 7
C. 17
D. 24
E. 26
GMAT, GRE MPG Conversion Problem
A car gets 30 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
A. 112.5
B. 150
C. 337.5
D. 450
E. 500
B. 150
C. 337.5
D. 450
E. 500
GRE, GMAT Work Problem with Remainders
Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?
A. 1/2
B. 2
C. 3
D. 5
E. 6
A. 1/2
B. 2
C. 3
D. 5
E. 6
Chart Word Problem GMAT, GRE Quant
A shoe cobbler charges n dollars to repair a single pair of loafers. Tomorrow, he intends to earn 240 dollars repairing loafers. If he were to reduce his fee per pair by 20 dollars, he would have to repair an additional pair of the loafers to ear the same amount of revenue. How many pair of loafers does he intend to repair tomorrow?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
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