List of top Questions asked in BITSAT- 2016

The set of all values of a for which the function f(x)=(a²-3a+2)(cos²x/4-sin²x/4)+(a-1)x is decreasing is
What is the x-coordinate of the point on the curve f(x)=√(x)(7x-6), where the tangent is parallel to the x-axis?
If f(x)= begincases (xlog(cos x))/(log(1+x²)), & x\ne0
0, & x=0 endcases then f(x) is
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
The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is
Let alpha₁,alpha₂ and beta₁,beta₂ be the roots of ax²+bx+c=0 and px²+qx+r=0 respectively. If the system alpha₁ x+alpha₂ y=0, beta₁ y+beta₂ z=0 has a non-trivial solution, then
If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is
If \( [x] \) denotes the greatest integer less than or equal to \( x \), and \( -1 < x < 0 < y < 1 < z < 2 \), then the value of the determinant

\( \begin{vmatrix} [x] + 1 & [y] & [z] \\ [x] & [y] + 1 & [z] \\ [x] & [y] & [z] + 1 \end{vmatrix} \)
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
The fourth term of an A.P. is three times of the first term and the seventh term exceeds the twice of the third term by one. Then the common difference of the progression is
If log a,log b,log c are in A.P. and also log a-log 2b,log 2b-log 3c,log 3c-log a are in A.P., then
If the matrix beginpmatrix 1 & 3 & λ+2
2 & 4 & 8
3 & 5 & 10 endpmatrix is singular, then λ=
The arithmetic mean of numbers a, b, c, d, e is M. What is the value of (a-M)+(b-M)+(c-M)+(d-M)+(e-M)?
If tan(cot x)=cot(tan x), then sin 2x is equal to:
Statements: Raman is always successful. No fool is always successful. Conclusions: I. Raman is a fool. II. Raman is not a fool.
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n respectively are:
Statements: Some desks are caps. No cap is red. Conclusions: I. Some caps are desks. II. No desk is red.
Introducing a boy, a girl said, “He is the son of the daughter of the father of my uncle.” How is the boy related to the girl?
DEF, DEE₂, DE₂F₂, _ _ _
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series: 3, 4, 7, 13, 13, 21, 31, 34, ?
QAR, RAS, SAT, TAU, _ _ _
I could not put up in a hotel because the boarding and lodging charges were exorbitant.
I saw a _ _ _ _ of cows in the field.
An Indian ship laden with merchandise got drowned in the Pacific Ocean.
We discussed about the problem so thoroughly on the eve of the examination that I found it very easy to work it out.