GMAT Number System — practice questions
46 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice GMAT Number System in the app →If $a + b = 7$ and $a - b = 3$, what is $a^2 - b^2$?Expand $(x + 5)^2$.If $a + b + c = 0$, what is the value of $a^3 + b^3 + c^3$?Factorise $a^3 - b^3$.If $x + \dfrac{1}{x} = 5$, find $x^3 + \dfrac{1}{x^3}$.If $a + b + c = 6$ and $a^2 + b^2 + c^2 = 14$, find $ab + bc + ca$.What is the prime factorisation of 360?For which value of n does $6^n$ end with the digit zero?How many divisors does the number $N = 2^3 \times 3^2 \times 5$ have?What is the HCF of 18 and 24?What is the LCM of 12 and 18?HCF of two positive integers a and b is 5. Their LCM is 200. If a = 25, what is b?Which of the following is a rational number?Which fraction has a TERMINATING decimal expansion?The product of a non-zero rational number and an irrational number is always:Every composite number can be expressed as:The prime factorisation of 253 is:The HCF of 96 and 404 is 4. Their LCM is:The LCM of 6, 72 and 120 is:What is the HCF of 96 and 404?The smallest number that is exactly divisible by every number from 1 to 10 is:The product 2 x 3 x 7 x 11 x 23 equals:A number leaves remainder 3 when divided by 7 and remainder 3 when divided by 5. The smallest such number abovHow many prime factors, counted with repetition, does 21252 = 2^2 x 3 x 7 x 11 x 23 have?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: