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BITSAT 2020
List of top Questions asked in BITSAT- 2020
Let alpha₁,alpha₂ and beta₁,beta₂ be the roots of
ax²+bx+c=0 and px²+qx+r=0
respectively. If the system
alpha₁ y+alpha₂ z=0, beta₁ y+beta₂ z=0
has a non-trivial solution, then
BITSAT - 2020
BITSAT
Mathematics
System of Linear Equations
If [x] denotes the greatest integer ≤ x and
-1≤ x<0, 0≤ y<1, 1≤ z<2,
then the value of the determinant
beginvmatrix [x]+1 & [y] & [z]
[x] & [y]+1 & [z]
[x] & [y] & [z]+1 endvmatrix
is
BITSAT - 2020
BITSAT
Mathematics
Properties of Determinants
If α,β are the roots of
x²-2x-1=0,
then the value of α²β²-α²-β² is
BITSAT - 2020
BITSAT
Quantitative Aptitude
Quadratic Equations
In a △ ABC, if
(cos A)/(a)=(cos B)/(b)=(cos C)/(c),
and the side a=2, then area of the triangle is:
BITSAT - 2020
BITSAT
Mathematics
Trigonometry
If
sin⁻1((2a)/(1+a²)) -cos⁻1((1-b²)/(1+b²)) =tan⁻1((2x)/(1-x²)),
then what is the value of x?
BITSAT - 2020
BITSAT
Mathematics
Trigonometry
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)?
BITSAT - 2020
BITSAT
Mathematics
Statistics
The fourth term of an A.P. is three times the first term and the seventh term exceeds twice the third term by one. Then the common difference of the progression is
BITSAT - 2020
BITSAT
Mathematics
Sequence and Series
The sum to n terms of the series
\frac12+\frac34+\frac78+(15)/(16)+⋯
is
BITSAT - 2020
BITSAT
Mathematics
Sequence and Series
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
BITSAT - 2020
BITSAT
Mathematics
Sequence and Series
Let f(x)=dfracax+b
cx+d, then f∘ f(x)=x, provided that:
BITSAT - 2020
BITSAT
Mathematics
composite of functions
Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n respectively are:
BITSAT - 2020
BITSAT
Mathematics
sets
If A and B are positive acute angles satisfying
3cos²A+2cos²B=4 and (3sin A)/(sin B)=(2cos B)/(cos A),
then the value of A+2B is equal to:
BITSAT - 2020
BITSAT
Mathematics
Trigonometry
If sintheta₁+sintheta₂+sintheta₃=3, then costheta₁+costheta₂+costheta₃=
BITSAT - 2020
BITSAT
Mathematics
Trigonometry
If sin x=cot(tan x), then sin 2x is equal to:
BITSAT - 2020
BITSAT
Mathematics
Trigonometry
The general solution of the equation
sin 2x + 2sin x + 2cos x +1 =0
is:
BITSAT - 2020
BITSAT
Mathematics
Trigonometry
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?
BITSAT - 2020
BITSAT
Aptitude
Logical Reasoning
QAR, RAS, SAT, TAU, _ _ _ _
BITSAT - 2020
BITSAT
Aptitude
Number Series
DEF, DEF₂, DE₂F₂, _ _ _ _
BITSAT - 2020
BITSAT
Aptitude
Number Series
Statements:
Raman is always successful. No fool is always successful.
Conclusions:
I. Raman is a fool. II. Raman is not a fool.
BITSAT - 2020
BITSAT
Aptitude
Logical Reasoning
Statements:
Some desks are caps. No cap is red.
Conclusions:
I. Some caps are desks. II. No desk is red.
BITSAT - 2020
BITSAT
Aptitude
Logical Reasoning
Read the sentence to find out whether there is any grammatical error in it.
BITSAT - 2020
BITSAT
English
Error Spotting
Read the sentence to find out whether there is any grammatical error in it.
BITSAT - 2020
BITSAT
English
Error Spotting
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
3,4,7,7,13,13,21,22,31,34,?
BITSAT - 2020
BITSAT
Aptitude
Number Series
According to the author countrymen should
BITSAT - 2020
BITSAT
English
Reading Comprehension
The proper sequence should be:
BITSAT - 2020
BITSAT
English
Sentence Arrangement
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