List of top Questions asked in BITSAT

If f(x)= begincases (xlog(cos x))/(log(1+x²)), & x≠ 0
0, & x=0 endcases then f(x) is
If f(x)=xˣ, then f(x) is increasing in interval
The value of limₓtₒᵢₙfty(fraca₁¹/x+a₂¹/x+⋯+aₙ¹/xn)ⁿx, aᵢ>0 is
If int (cos x-1)/(sin x+eˣ)dx is equal to
The value of cot⁻17+cot⁻18+cot⁻118 is
If x is a real number, then (x)/(x²-5x+9) must lie between
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?
After striking the floor a certain ball rebounds (4)/(5)th of its height from which it has fallen. The total distance that the ball travels before coming to rest if it is gently released from a height of 120m is
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?
If a system of equations -ax+y+z=0, x-by+z=0, x+y-cz=0 (a,b,c\ne1) has a non-zero solution, then (1)/(1+a)+(1)/(1+b)+(1)/(1+c) is
If (4ⁿ)/(n+1) < dfrac(2n)!(n!)², then P(n) is true for
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
The integer just greater than (3+√(5))²n is divisible by (n∈N)
If A, B, C are the angles of a triangle and eⁱA, eⁱB, eⁱC are in A.P., then the triangle must be
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
The domain of the function f(x)=sin⁻1(log₂((1)/(2)x²)) is
Let f and g be functions from R to R defined as
\( f(x) = \begin{cases} 7x^2 + x - 8, & x \le 1 \\ 4x + 5, & 1 < x \le 7 \\ 8x + 3, & x > 7 \end{cases} \)
\( g(x) = \begin{cases} |x|, & x < -3 \\ 0, & -3 \le x < 2 \\ x^2 + 4, & x \ge 2 \end{cases} \)
Then
The length of the semi-latus rectum of an ellipse is one third of its major axis, its eccentricity would be
How many different eight digit numbers can be formed from the number 22335588 by rearranging its digits if odd digits occupy even positions?
If α and β are roots of the equation x²+px+(3p)/(4)=0, such that |α-β|=√(10), then p belongs to the set
If sumk=1ⁿ k(k+1)(k-1)=pn⁴+qn³+tn²+sn, where p,q,t and s are constants, then the value of s is equal to
(?), PSVYBE, EHKQNQ, TWZCFI, ILORU
Statements: Politicians become rich by the votes of the people. Assumptions: I. People vote to make politicians rich. II. Politicians become rich by their virtue.
Two statements are given followed by four conclusions I, II, III and IV. You have to consider the statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions can definitely be drawn from the given statements. Statements: (A) No cow is a chair. (B) All chairs are tables. Conclusions: I. Some tables are chairs. II. Some tables are cows. III. Some chairs are cows. IV. No table is a cow.
Statements: 1. Temple is a place of worship. 2. Church is also a place of worship. Conclusions: I. Hindus and Christians use the same place for worship. II. All churches are temples.