List of top Quantitative Aptitude Questions asked in BITSAT

Evaluate limₙtₒᵢₙfty(aⁿ+bⁿ)/(aⁿ-bⁿ), where a>b>1
If a,b,c are real numbers then the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
If α,β are the roots of x²-2x-1=0, then the value of α²β²-α²-β² is
If a,b are non-zero roots of x²+ax+b=0, then the least value of x²+ax+b is
If \( a > b > 1 \), then
\( \lim_{n \to \infty} \dfrac{a^n + b^n}{a^n - b^n} \)
is equal to
Match List I with List II and select the correct answer using the code given below the lists. List I
(A) f(x)=cos x
(B) f(x)=ln x
(C) f(x)=x²-5x+4
(D) f(x)=eˣ List II
1. The graph cuts y-axis in infinite number of points
2. The graph cuts x-axis in two points
3. The graph cuts y-axis in only one point
4. The graph cuts x-axis in only one point
5. The graph cuts x-axis in infinite number of points % Codes (A)(a)1453 (b)1354 (c)5423 (d)5324
If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is
If a,b,c are real numbers then the roots of (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always
If \( \cos \theta + \sin \theta = x \cos \theta \) and \( \sin \theta = y \cos \theta \), then \( x^2 + y^2 = \)
Let \( a_1, a_2, a_3, \dots \) be terms on A.P. If \[ a_1 + a_2 + \dots + a_p = p^2, \, p \neq q, \, \text{then} \, a_q = \frac{p^2}{q^2} \] Then \( a_q \) equals: