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)

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

The figure above shows three tangent circles (they touch at exactly one point), each with their centers along the same horizontal axis. The biggest circle contains two smaller ones. Of the two smaller circles, the larger one has a radius of 6 inches and the smaller one has a radius of 3 inches. What is the area of the shaded region?

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

Inequalities Problem Solving: GMAT, GRE

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

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

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

Overlapping Sets, GMAT GRE Question

Each of the items in a box is either a ball or a cube and each item is either red or blue. 72% of the items are cubes and 54% of the items are blue cubes. What percent of the cubes are red?

(A) 18%
(B) 25%
(C) 46%
(D) 50%
(E) 54%

Variables in Answer Choices with Distance Rate Time GMAT Problem

If Susan takes 9 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?

A certain calculating machine has only three operation buttons, D, R and A. The D operation doubles the number the machine displays, the R operation subtracts 1 from the number the machine displays, and the A operation adds 1 to the number the machine displays. If the machine initially displays the number 2, which of the following operation sequences (read from left to right) would lead to the same final displayed result as the sequence - D R D R D R D R D R D R ?

A. D D D D D D R R R R R R

B. R D R D R D R D R D R D

C. A D D D D D

D. D D D D D A

E. D D D D D D D A

GMAT, GRE Math Word Problem

Elmer, the circus Elephant, is currently three times older than Leo, the circus Lion. In five years from now, Leo the circus Lion will be exactly half as old as Elmer, the circus Elephant. How old is Elmer today?

A) 10
B) 15
C) 17
D) 22
E) 25

Remainders Number Properties Question GMAT, GRE

What is the remainder when 1555 * 1557 * 1559 is divided by 13?

(A) 0
(B) 2
(C ) 4
(D) 9
(E) 11

Number Properties Min/Max GMAT Problem

What is the greatest possible common divisor of two different positive integers which are less than 144?

A. 143
B. 142
C. 72
D. 71
E. 12

Must or Could be True GMAT, GRE Question

If 4<(7-x)/3, which of the following must be true?

I. 5<x
II. |x+3|>2
III. -(x+5) is positive

A) II only
B) III only
C) I and II only
D) II and III only
E) I, II and III

GMAT Remainder Quant Question

How many two-digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4?

A) One
B) Two
C) Three
D) Four
E) Five

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If we arrange every 2 digit number then divide by 10 these numbers would all give us remainder 3. So, the number will have 3 in its unit digit : {13 , 23, 33, 43, 53, 63, 73, 83, and 93}

If we divide each number by 4 to see which of them yields reminder 3 then we should see the first number in the set, (13), yields reminder 1. Cross off.

The second number in the set, ( 23), gives us the remainder 3. Keep it.

the third number in the set gives reminder 1. If we continue this then we would see the pattern will be repeated. The even numbers in the set will give a reminder 3

if we count the even numbers that work {23, 43, 63, and 83} then we have 4 numbers

D.

GMAT, GRE Powers And Integers Quantitative Question

If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?

A. 26
B. 39
C. 42
D. 65
E. 156