List of top Quantitative Aptitude Questions asked in CAT

If \(A=\frac{x^2-y^2}{x^2-y^2}\), \(B=\frac{x+y}{x^2+y^2+xy}\) and \(C=\frac{ 3xy^2-3x^2y}{x^2-y^2}\), then find the value of AB (A+C)
If=\(\frac{2x^2+x-6}{(x+2)^2-(x-2)^2}\), Q=\(\frac{x^2+3x+9}{(2x-3)(x^2-4)}\) and \(R=\frac{x^2-27}{x^4-4}\), then find the value of PXQ÷R
What is the minimum value of (a + b) such that 4a x 5b will be a multiple of 5000?
If \(N = 2^5 \times 3^4 \times 5^5 \times 11^2\), then how many factors of N are multiples of 66 but not of 72?
How many numbers between 90 and 600 have exactly three factors?
P and Q start a business with initial investment Rs.5000 and Rs.4000 respectively. After ’t’ years Q adds 25% of what he invested initially and another person R joins the business with them with initial investment Rs.7000 and after 5years from the start of the business P adds Rs.1000 more to his capital. If at the end of 8 years total profit from the business is Rs.11900 while share of Q is Rs.3750, what is the share of R in the profit.
How many odd factors of the number 456 x 565 x 776 are multiples of 63?
How many factors of N=26 x 38 x 510 x 712 are perfect squares as well as perfect cubes?
Out of 40 members of team A only 60% are selected for the tour and out of 60 members of team B only 40% are selected for the tour. Ratio of male members to female members on the tour is 5:3. Ratio of male members who are selected from team A to female members who are selected from team A is 5:1. Find total number of female members who are selected for tour from team B.
If \(x=a^2+1\ \text{and} \ y=a^2-a+1\), then find the value of \(\frac{x^3-y^3-xy^2+x^2y}{(x+y)^2}\)
The radii of three concentric circles are in the ratio 2: 3: 4. What is the ratio of sum of areas of two inner circles to the area of the region between outermost circle and innermost circle?
In a ∆PQR, internal angle bisectors of ∠Q and ∠R meet at I while external angle bisectors of ∠Q and ∠R meet at X. If ∠P = 54°, then find the measures of ∠QIR and ∠QXR, respectively.
In a trinary base system, how many numbers from 0 to 100 end with digit 1?
What is the number of factors of the number formed by the last three digits of 10051001?
If the LCM of three natural numbers 2412, 1816 and a is 3618, then how many values of a are possible?
Find the HCF of (8125-1) and (274-1).
∆ABC is inscribed inside a circle and there is a point D on the arc BC opposite to A such that BD = CD. If ∠BAC = 70° and ∠ABD = 85°, then find the measure of ∠BCA.
If a2 + 32 + b2 + 8(a + b) = 0, then find the value of (a3 + b3).
Find the value of \(36(\frac{a}{2}+\frac{b}{6}+\frac{c}{3})^2\)
If 4(4b-3a) = 2(2b+c) = 8(c-a) and a + b + c = 11, then find the value of \(4(\frac{1}{ab}+\frac{1}{bc}+\frac{1}{ca})\)
If (Ax + By - Cz)2 = 4x2+ 3y2+ 2z2+ \(4\sqrt{3xy} \)-\( 2\sqrt{6yz}\) - 4√2xz, then find the value of A2+ B2C2.
If 25(3a-2b) = 5(b-a) = 52 and , then find the value of ab - c.
In triangle PQR, PM is perpendicular to QR. If ‘T’ is a point in between ‘Q’ and ‘M’ such that PT = \(5\sqrt3\) cm, PM = \(\sqrt{39}\) cm then find the value of PQ such that QM : TM = 5 : 2.
In the given figure, AB is the chord of the circle with centre ‘O’. A tangent AT is drawn at point ‘A’ so that angle BAT = 48°, then measure of angle ADB is :
AB is the chord of the circle with centre O
In triangle PQR, the straight line parallel to side QR meets PQ and PR at points ‘A’ and ‘B’, respectively. If PA = BR, PQ = 36 cm and PB = 6 cm, then BR = ?