| Quantitative Comparison Questions - #170 |
| Absolute Values/Modules |
| # | Question
 | Source
 |
| 1 | Difference between the smallest and greatest possible | Others |
| 2 | a > b and |b| > |a| | Others |
| Algebra |
| 1 | x= \sqrt[4]{(x^3 + 6x^2)} | Others |
| 2 | The set of solutions for the equation (x^2 – 25)^2 = x^2 – 1 | Others |
| 3 | 2^x + 2^y = x^2 + y^2, where x and y are non-negative integers | Others |
| 4 | x=y^3 and y>1 | Others |
| 5 | Sum of all positive factors of N VS 8232 | Others |
| 6 | x and y are numbers greater than or equal | Others |
| 7 | x is a positive integer | Others |
| 8 | a<0 and b<0 | Others |
| 9 | 2x-5y=1 | Others |
| 10 | x < 0 and x > y | Others |
| 11 | ab<1 and ac<1y | Others |
| 12 | x^4 8x^3 + ax^2 bx + 16 = 0 has positive real roots | Others |
| 13 | y > 0 and x = 1 y | Others |
| 14 | For any numbers a and b, a#b=a + b - ab. If a#b=0 | Others |
| 15 | r^6=64 | Others |
| Arithmetic |
| 1 | W, X, Y and Z are four different positive integers. | Others |
| 2 | Difference between the smallest and greatest possible | Others |
| 3 | f=a+b+c+d+e. | Others |
| 4 | Point C is the midpoint of AB | Others |
| 5 | |x-2| > 3 | MGRE |
| 6 | 22 percent of x | Others |
| 7 | A person took a total of 7 tests and received 7 different scores, | Others |
| 8 | Sn represent the sum of n terms of a certain sequence | Jamboree |
| 9 | 1 + 2 + 2^2 + 2^3 + ......... + 2^40 = N | Others |
| 10 | In a sequence, the sum of four consecutive odd numbers is equal | Others |
| 11 | N and M are each 3-digit integers. Each of the numbers 1, 2, 3, | Others |
| 12 | sqrt of 2014 + 2*(1+2+3+ | Others |
| 13 | A survey was conducted on 180 companies that use | Others |
| 14 | In a certain sequence, t_1 = -2 | Greenlight Test Prep |
| 15 | The units place of the number 7^95-3^58 | Others |
| 16 | A square board with each side 5 in. is to be cut into | Others |
| 17 | A certain clock marks every hour by striking a number | Others |
| Coordinate Geometry |
| 1 | In the xy-coordinate system, rectangle ABCD | Others |
| 2 | Lines m and n intersect to the right | Others |
| 3 | Lines 3x + 4ky + 6 = 0, and kx -3y +9 = 0 intersect | Others |
| 4 | The sum of the measures of | Others |
| Counting |
| 1 | y=\frac{3 x}{4}+9 , where y | Others |
| 2 | Three fair 6-sided dice are rolled | Others |
| 3 | A pizza box requires a 16" x 30" piece | Others |
| 4 | Set A contains 35 different elements. | Others |
| 5 | The number of new three digit numbers that can | Others |
| Data Analysis |
| 1 | The preceding dot plot shows the number of | Others |
| Distance/Rate Problems |
| 1 | Circumference of the front wheel of a cart is | Others |
| 2 | Car A, B, and C participate in a car race | Others |
| 3 | Steve estimated the distance, in kilometers | Others |
| 4 | Shaundra drove the same route to work | Others |
| Divisibility/Multiples/Factors |
| 1 | Remainder when 25! (factorial) is divided by | Others |
| 2 | x is an integer such that 1 ≤ x ≤ 100 | Others |
| 3 | 10! - 2(5!)^2 is divisible by 10^n | Others |
| 4 | x and y are numbers greater than or equal | Others |
| 5 | Sum of all positive factors of N VS 8232 | Others |
| 6 | N is the number of integers less than 1000 | Others |
| 7 | 7x^2 has two different prime factors | Others |
| Exponents & Roots |
| 1 | N = (2)^x, where x is a negative integer. | Others |
| 2 | x and y are positive integers such that x^25 | MGRE |
| 3 | |a| > |d| | MGRE |
| 4 | N = (2)^x, where x is a negative integer | Others |
| 5 | x=y^3 and y>1 | MGRE |
| 6 | x is an integer | MGRE |
| 7 | 2^x + 2^y = x^2 + y^2, where x and y are non-negative | Others |
| 8 | 10! - 2(5!)^2 is divisible by | Others |
| 9 | –1 < a < 0 < |a| < b < 1 | Others |
| 10 | xy VS -18 | Others |
| 11 | a^2<a,b^2<b,c^2<c and d^2<d | Others |
| 12 | x < 0 and x > y | Others |
| 13 | r^6=64 | Others |
| Fractions & Decimals |
| 1 | In a 200 member club consisting of men and women | Others |
| 2 | (x^y) * (x^2)=x^6 | Others |
| 3 | x = 1/x-1 | Others |
| 4 | a>1 and b>1 | Others |
| 5 | x, y, z are negative numbers | Jamboree |
| Functions |
| 1 | f (x) = (a x ^n) | Others |
| 2 | f (x) = x^2 + 2^x for all integers x. f (k) | Others |
| Geometry |
| 1 | Two interior angles of a convex quadrilateral | Others |
| 2 | x<y<z , where x, y and z are | Others |
| 3 | In a right triangle PQR, X and Y | Jamboree |
| 4 | CB/NM or 2 | Kaplan |
| 5 | A student wants to draw an isosceles | Others |
| 6 | Triangle EFG is inscribed in the circle with | Others |
| 7 | In the rectangular coordinate system, points | Others |
| 8 | An equilateral triangle PAB is inscribed | Others |
| 9 | The average of five different positive numbers | Others |
| 10 | In the xy-coordinate system, rectangle ABCD | Others |
| 11 | 2 sides in both the triangles ABC | Others |
| 12 | In right triangle P Q R, X and Y | Others |
| 13 | Length of diameter AC is 10 units | Others |
| 14 | A frog located at (0, 0) makes successive jumps | Others |
| 15 | If AD = BC, find the value of x | Greenlight Test Prep |
| 16 | A B=24, D B=4, B C=25, C E=x | Others |
| 17 | The area of the sector O A B is one quarter | Others |
| 18 | In the xy-plane, ABCD is a rectangle | Others |
| 19 | Interior angle of a | Others |
| 20 | Three circles with radii of 2 cm, 3 cm | Others |
| 21 | A square board with each side 5 in | Others |
| 22 | Triangle RST is formed by the intersections | Others |
| 23 | PQRS is a rectangle with PQ < 65 | Others |
| 24 | The figure above is a circle inscribed in a square | Others |
| 25 | Integers x, y and z are interior angles | Others |
| 26 | A sheet of paper ABDE is a 12in x 18in rectangle | Others |
| 27 | The greatest number of regions into which | Others |
| 28 | The ratio of the length of three sides of | Others |
| 29 | An isosceles triangle with one angle of 120 | Others |
| 30 | If RS = ST, then the Triangle RSU, | Others |
| 31 | The area of a quadrilateral with perimeter | Others |
| 32 | The side of a square ABCD measures 1 unit | Others |
| 33 | Triangle ABC is an isosceles triangle | Others |
| 34 | 95 or s | Others |
| 35 | Quadrilateral ABCD is inscribed in a circle | Others |
| 36 | The figure above shows four circles | Others |
| Inequalities |
| 1 | x - y > 38 and y - 3x > 12 where, x and y | Others |
| Mixture Problems |
| 1 | One kilogram of a tea mixture consists of p | Others |
| Numbers Properties |
| 1 | The reciprocal of x’s non-integer | MGRE |
| 2 | x and y are positive integers such that | MGRE |
| 3 | A set has exactly five consecutive positive | Nova |
| 4 | 22 percent of X | Magoosh |
| 5 | x is an integer such that 1 | Others |
| 6 | x=y^3 and y>1 | MGRE |
| 7 | In a sequence, the sum of four consecutive odd | Others |
| 8 | Number of factors | Others |
| 9 | W, X, Y and Z are four different | Others |
| 10 | x and y are positive integers such that | Others |
| 11 | x and y are numbers greater than | Others |
| 12 | N = (2)^x, where x is a negative integer. | Others |
| 13 | x is a positive integer. When x | Others |
| 14 | a > b and |b| > |a| | MGRE |
| 15 | q is an integer greater | Nova |
| 16 | x is a positive integer. When | Magoosh |
| 17 | For every positive even integer n | Others |
| 18 | 257 base 12 | McGraw-Hill |
| 19 | A set has exactly five consecutive positive | Others |
| 20 | x and y are integers greater than 5 | Magoosh |
| Overlapping Sets |
| 1 | In a group of 200 workers, | Magoosh |
| 2 | In a war, 70% of soldiers lost one | Others |
| 3 | In a class of 33, every student | Others |
| Percent and Interest Problem |
| 1 | By the end of each year, a certain | Others |
| 2 | An off-season discount of 10 | Nova |
| Probability |
| 1 | An apartment building has apartments | Kaplan |
| 2 | x is an integer such that | Others |
| 3 | A box contains 3 pairs of blue socks | Others |
| 4 | A terrible disease sweeps around | Others |
| 5 | Probability that it will rain | Others |
| 6 | In the xy-coordinate plane, a rectangle | Others |
| 6 | A garden has only equal number | Others |
| 7 | A six-sided die is rolled several | Others |
| 8 | A jar contains 3 red and 2 white | Others |
| 9 | T is some point on the hypotenuse | Others |
| Remainders |
| 1 | x is a positive integer. When x | Magoosh |
| Sequences |
| 1 | In a sequence, the sum of four consecutive odd numbers | Others |
| 2 | Sn represent the sum of n terms | Others |
| 3 | 1 + 2 + 2^2 + 2^3 + | Others |
| Statistics and Sets Problem |
| 1 | A survey measures the heights | Kaplan |
| 2 | A group of students took an exam | MGRE |
| 3 | Set A consists of four distinct numbers | MGRE |
| 4 | A person took a total of 7 tests | Others |
| 5 | The average of five different positive | Nova |
| 6 | A spirit and water solution is sold in | Nova |
| 7 | The 90th percentile | McGrawHill |
| 8 | A beekeeper measured the length | Others |
| 9 | The random variable $X$ is normally | Others |
| Strange Symbol |
| 1 | For any numbers a and b | Others |
| Word Problems |
| 1 | Patrick purchased 80 pencils | Nova |
| 2 | Nancy purchased a consignment | Nova |
| 3 | A professor gave a quiz, scored | Others |
| Work Rate Problems |
| 1 | Tap A can fill a tank in 10 hours | Others |
| 2 | A pump can be used to either fill | Others |