List of top Quantitative Aptitude Questions

The number of the real roots of the equation 2cos(x(x+1)) = 2^x + 2^-x is 

Let x and y be positive real numbers such that log5(x+y) + log5(x-y) = 3, and log2y - log2x = 1 - log23. Then xy equals

The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is 157:3, then the sum of the two numbers is

The product of the distinct roots of |x² - x - 6 | = x + 2 is

If x is a real number, then \(\sqrt{log_e\frac{4x-x^2}{3}}\)  is a real number if and only if

The quadratic equation \(x^2+bx+c=0\) has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of \(b^2+c\ ?\)

The number of common terms in the two sequences: 15, 19, 23, 27, . . . . , 415 and 14, 19, 24, 29, . . . , 464 is

The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. Each of three vessels A, B, C contains 500 ml of salt solution of strengths 10%, 22%, and 32%, respectively. Now, 100 ml of the solution in vessel A is transferred to vessel B. Then, 100 ml of the solution in vessel B is transferred to vessel C. Finally, 100 ml of the solution in vessel C is transferred to vessel A. The strength, in percentage, of the resulting solution in vessel A is

Let ABC be a right-angled triangle with hypotenuse BC of length 20 cm. If AP is perpendicular on BC, then the maximum possible length of AP, in cm, is

If \((2n+1)+(2n+3)+(2n+5)+….+(2n+47)=5280,\) then what is the value of \(1+2+3+….n?\)

If a₁,a₂,..... are in A.P., then, \(\frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + .... + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}}\) is equal to

Let A be a real number. Then the roots of the equation \(x^2-4x-log_{2}A=0 \) are real and distinct if and only if

In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit is

A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weighs 800 gm. If half litre of the mixture weighs 480 gm, then the percentage of liquid 1 in the mixture, in terms of volume, is

Consider a function ƒ satisfying ƒ(x + y) = ƒ(x)ƒ(y) where x,y are positive integers , and ƒ(1) = 2 . If ƒ(a+1) + ƒ(a+2) + ... + ƒ(a+n) = 16(2n - 1) then a is equal to 

For any positive integer n, let f(n) = n(n + 1) if n is even, and f(n) = n + 3 if n is odd. If m is a positive integer such that 8f(m + 1) - f(m) = 2, then m equals

The real root of the equation \(2^{6x}+2^{3x+2}-21=0\) is

Let A and B be two regular polygons having a and b sides, respectively. If b = 2a and each interior angle of B is \(\frac{3}{2}\) times each interior angle of A, then each interior angle, in degrees, of a regular polygon with a + b sides is

Let f be a function such that f (mn) = f (m) f (n) for every positive integers m and n. If f (1), f (2) and f (3) are positive integers, f (1) < f (2), and f (24) = 54, then f (18) equals

A grocer mixes coffee powder of 2 types, one of which is priced at Rs. 60 and the other at Rs. 90. What should be the ratio of combining the two, to sell the blended mix coffee powder of the two types at Rs. 80?

Beena got married 8 years ago. Today, her age is \(\frac {11}{4}\) times her age at the time of marriage. If her daughter‘s age is \(\frac {1}{10}\) times her age, then her daughter‘s age is:

An employee of an organization invests a total of Rs 25,400 in two different schemes X and Y at a simple interest rate of 18% per annum and 10% per annum respectively. If a total of Rs. 6460 has been earned as simple interest in 2 years, what amount was invested in Scheme Y?

A tree grows at the rate of \(\frac 15^{th}\) of its height annually. By how much height will it grow after 2 years, if its present height is 75 cms?

A train 600 meters long is running at a speed of 90 kms/hr. If it crosses a tunnel in one minute, then the length of the tunnel is:

A clock gains 2 minutes every hour. Then the angle traversed by the second hand in one minute is: