List of top Quantitative Aptitude Questions

If a2+b2=89 and a2-b2=39, then find the value of a3 - b3-3ab, (a, b >0).
If \((4x^2+\frac{1}{4x^2})=2\), then what is the value of \((8x^3+\frac{1}{8x^3})\) ?
A) +2
B) -2
C) +4
D) -4
If a+b+c=11 and ab + bc + ca = 35, find the value of (a-b)2+(b-c)2+(c-a)2.
What is the value of \((x^4+y^4+x^2y^2)\frac{x^2-2xy+y^2}{x^2-xy+y^2}\div(x^3-y^3)\) ?
If a3 + b3 + c3 = 62, abc = -6 and (a + b + c) = 5, then what is the value of ab + bc + ac ?
Nitish booked movie tickets online which collects the same internet handling charges for normal movies and 3D movies, whereas the cost price of each normal movie ticket is 80% of the 3D movie ticket. Nitish paid Rs. 1030 for two 3D movie tickets and 3 normal tickets and Rs. 610 for one 3D movie ticket and 2 normal tickets. Find the internet handling charges per ticket.
If \(x=a^2+1\ \text{and} \ y=a^2-a+1\), then find the value of \(\frac{x^3-y^3-xy^2+x^2y}{(x+y)^2}\)
If a, b and c are integers such that a2 + b2 + c2 = 228, a + b + c = 26 and b = c, then what is the value of a ?
α and β are the roots of the equation x2+9x+18=0, where α>β. Then for the equation x2-ax+b=0 with its roots as (α+β) and (-3α), find the value of (a+b).
If 4(4b-3a) = 2(2b+c) = 8(c-a) and a + b + c = 11, then find the value of \(4(\frac{1}{ab}+\frac{1}{bc}+\frac{1}{ca})\)
The second term of an P is 15 and the fifth term is double the first term. Find the sum of the first 20 terms of the series.
Consider the set S = 1, 2, 3, …, 10001. How many arithmetic progressions with at least 3 elements can be formed from the elements of S that start with 1 and end with 1000?
A club consist of members whose age are in AP. The common difference between the ages is 3 months. If the youngest member is 7 years old and the sum of the ages of all the members is 250, then the number of members in the club is
If 9, 6, p are in arithmetic progression, 9, 6, q are in geometric progression and 9, 6, are in harmonic progression, then what is the value of (4p – 6q + r)?
In a bag there are 100 coins. The coins in the bag are of denomination Rs.1 or Rs.2 or Rs.5. There are at least 10 coins and at most 60 coins of each denomination. Urvashi takes out 40 coins, which consist at least one coin of each denomination from the bag and finds that total worth of coins that she has taken out is Rs.148. The total worth of coins that are still in the bag is Rs.212. Which of the following can be the total number of coins of denomination Rs.1 that are still in the bag?
There are 8 kids – A, B, C, D, E, F, G and H. Two hundred one rupee coins are to be distributed among them in such a way that the distribution forms an arithmetic progression. Find the total number of coins received by C and F ?
If log8 9, log8 (2y+7) and log8 (3y+6) are in arithmetic progression with non-zero common difference, find the value of y.
By how much is (\(\frac{3}{7}\)) of 266 is lesser than (\(\frac{4}{9}\))of 504?
If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is\(\frac{5}{12}\). What was the original fraction?
A dealer buys an article listed as Rs.3000 at successive discounts of 15% and 20%. Find the price at which he should sell the article so as to make a profit of 25%.
Given \(A=x+y^2+z^3\). If x increases by 6300%, y increases by 700% and z increases by 300%, then what is the percentage increase in the value of A?
The populations of two cities X and Y is equal. The population of city X increases in two successive years by 15% and 20% respectively and that of city Y increases successively by 10% and 30% respectively. If the difference in the population of two cities after 2 years is 55,980, then what was the total population of the two cities initially?
Rohit purchased a car and a plot at the same time. At the end of the first two years the value of the plot increased by 30% and the value of the car decreased by 10%. At the end of next two years, the value of the car decreased by 20% and the value of the plot increased by 25%. At the end of next two years, the value of the plot increased by 20% and the value of car is decreased by 25%. Had he sold both the car and the plot at the end of sixth year, he would have got 56% more from the plot than from the car. How much less did he pay for the plot that the car when he purchased them?
What is 25% of 45% of 4/9th of 4540?
A tailor had a piece of cloth. He initially reduced its length by 80%. After this, he further shortened it by 90% of its new length. What was the percentage decrease in the cloth's length from the first to the second cut?