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GMAT Modern Mathematics — practice questions

44 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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An equation of the form ax + by + c = 0, with a and b not both zero, is a linear equation in:Substituting x = 1 and y = 1 in 2x + 3y = 5 gives 5, so this pair of values is:Each solution of a linear equation in two variables corresponds to:Two lines drawn in a plane can intersect, be coincident, or be:If the two lines of a pair of linear equations intersect at one point, the pair has:A pair of linear equations that has no solution is called:A pair of linear equations whose lines coincide has:A pair of equations which are equivalent, with infinitely many common solutions, is called:Akhila's rides and games gave x - 2y = 0 and 3x + 4y = 20. The lines meet at:From that solution, the number of rides Akhila had on the Giant Wheel was:Romila paid 9 for 2 pencils and 3 erasers; Sonali paid 18 for 4 pencils and 6 erasers. Their lines are:Two rails are x + 2y - 4 = 0 and 2x + 4y - 12 = 0. Do they cross?For x + 3y = 6 and 2x - 3y = 12, the common point is:If a1/a2 is not equal to b1/b2, the two lines are:If a1/a2 = b1/b2 = c1/c2, the two lines are:If a1/a2 = b1/b2 but this differs from c1/c2, the two lines are:A pair of linear equations that has a solution is called:A coach buys 3 bats and 6 balls for 3,900 and later 1 bat and 3 balls for 1,300. This is a situation of:2 kg apples with 1 kg grapes cost 160, and 4 kg apples with 2 kg grapes cost 300. The unknowns here are:Putting x = 0 in the equation 3x + 4y = 20 gives y equal to:Choosing y = 2 in 3x + 4y = 20 was preferred because it gives x as:The graphical representation of a linear equation in two variables is:Mohan owns 3 pants and 2 shirts. The number of pant and shirt pairs he can wear is:Sabnam has 2 school bags, 3 tiffin boxes and 2 water bottles. Choosing one of each, she can carry them in:If one event can happen in m ways and then another in n ways, the pair happens in:Four letter words from the letters of ROSE, with no letter repeated, number:If letters may repeat, the number of four letter words from R, O, S and E becomes:With 4 flags of different colours, signals using 2 flags one below the other number:Two digit even numbers formed from the digits 1, 2, 3, 4, 5 with repetition allowed number:Using 5 different flags, signals of at least 2 flags on a staff number:Three digit numbers from the digits 1 to 5, with repetition allowed, number:Three digit numbers from the digits 1 to 5, with no digit repeated, number:An arrangement in a definite order of objects taken some or all at a time is a:Choosing 2 objects out of 3 without caring about order gives each result the name:The product 1 times 2 times 3 up to n is written as:The value of 5 factorial is:The value of 6 factorial is:The number of permutations of n different objects taken r at a time, with no repetition, is written as:Permutations of n objects where p are alike and the rest all differ number:The relation linking arrangements and selections of r objects from n is nPr equals:The number of ways to arrange all 5 different flags on a staff is:Three digit even numbers from the digits 1 to 6, with repetition allowed, number:Signals using exactly 3 flags out of 5 different flags number:Signals using exactly 4 flags out of those 5 different flags number: