List of top Questions asked in BITSAT- 2021

The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
The value of limₓtₒᵢₙfty(fraca₁¹/x+a₂¹/x+⋯+aₙ¹/xn)ⁿx, aᵢ>0 is
If f(z)=dfrac7-z1-z², where z=1+2i, then |f(z)| is equal to
An equilateral triangle is inscribed in the circle x²+y²=a² with one of the vertices at (a,0). What is the equation of the side opposite to this vertex?
The equation of one of the common tangents to the parabola y²=8x and the circle x²+y²=12x+4 is
Given the system of straight lines a(2x+y-3)+b(3x+2y-5)=0, the line of the system situated farthest from the point (4,-3) has the equation
If f(x)=cos⁻1[(1-(log x)²)/(1+(log x)²)], then the value of f'(e) is equal to
If f(x)= begincases (xlog(cos x))/(log(1+x²)), & x≠ 0
0, & x=0 endcases then f(x) is
The function f(x)=x-|x-x²|,-1≤ x\le1 is
If sumᵣ=0ⁿ(-1)ʳfracⁿCᵣⁿ+3Cᵣ=(3)/(a+3), then a-n is equal to
How many different eight digit numbers can be formed from the number 22335588 by rearranging its digits if odd digits occupy even positions?
Statement–1: A five digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 with repetition. The total number formed are 216. Statement–2: If sum of digits of any number is divisible by 3 then the number must be divisible by 3.
If x is a real number, then (x)/(x²-5x+9) must lie between
One mapping is selected at random from all mappings of the set S=1,2,3,…,n into itself. The probability that it is one–one is (3)/(32). Then the value of n is
A random variable X has the probability distribution
X: 1, 2, 3, 4, 5, 6, 7, 8
P(X): 0.15, 0.23, 0.12, 0.10, 0.20, 0.08, 0.07, 0.05
For the events E = X is a prime and F = X < 4, find P(E ∪ F).
An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is
The number of roots of the equation cos 3θ=0 for 0≤θ\le2π is
If A, B, C are the angles of a triangle and eⁱA, eⁱB, eⁱC are in A.P., then the triangle must be
An observer on the top of a tree finds the angle of depression of a car moving towards the tree to be 30^∘. After 3 minutes this angle becomes 60^∘. After how much more time will the car reach the tree?
The value of cot⁻17+cot⁻18+cot⁻118 is
(?), PSVYBE, EHKQNQ, TWZCFI, ILORU
AGMSY, CIOUA, EKQWC, ? IOUAG, KQWCI

Which of the answer figures includes the separate components found in the question figure? 



Which answer figure includes all the components given in the question figure?



In the following question, which answer figure will complete the question figure?