QuestionA shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $108 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?A. 6B. 7C. 15D. 8E. 12Correct Answer : Choice D. 8Explanatory AnswerLet the shop sell x numbers of the $3variant and y numbers of the $5 variant.So, 3x + … [Read more...] about Linear Equations : Common Multiples

# GMAT Linear Equations

## Data Sufficiency | Coordinate Geometry : Quadrants

Data Sufficiency in Coordinate Geometry. Here is an interesting GMAT data sufficiency question on intercepts and points of intersection of two perpendicular lines. A medium difficulty GMAT 650 to 700 level sample question. Data Sufficiency Question Line L is perpendicular to line K whose equation is 3y = 4x + 12; Lines L and K intersect at (p, q).Is p + q > 0? 1. x intercept … [Read more...] about Data Sufficiency | Coordinate Geometry : Quadrants

## GMAT Equations, Number Properties

Here is an interesting question that combines linear equations and properties of numbers to get an answer.QuestionA children’s gift store sells gift certificates in denominations of $3 and $5. The store sold ‘m’ $3 certificates and ‘n’ $5 certificates worth $93 on a Saturday afternoon. If ‘m’ and ‘n’ are natural numbers, how many different values can ‘m’ take?A. 5B. 7C. 6D. … [Read more...] about GMAT Equations, Number Properties

## DS Equations, Roots

A DS question on equations and roots. QuestionIs y = 7?1. (x - 3) = 02. (x - 3)(y - 7) = 0Correct Answer : Choice E. Data is insufficientExplanatory AnswerThe given question is an "Is" question. The data provided is sufficient to answer the question if we are able to conclusively answer with an Yes or a No to the question. Else the data is … [Read more...] about DS Equations, Roots

## GMAT Quant | Coordinate Geometry

This GMAT Quant Practice question is from coordinate geometry. A GMAT hard math question. The question can be classified as a GMAT 700 level question. The primary idea tested in this GMAT quant question: equations of straight lines and coordinates of points that lie on the straight line. GMAT Quant Question Set S contains points whose abscissa (x coordinate of the point) and … [Read more...] about GMAT Quant | Coordinate Geometry