BITSAT SERIES Mathematics
Types Of Functions
16 previous year questions.
Volume: 16 Ques
Yield: Medium
High-Yield Trend
1
2026 2
2021 1
2019 1
2018 1
2017 1
2016 1
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2014 2
2012 3
2011 1
2010 Chapter Questions 16 MCQs
01
PYQ 2010
medium
mathematics ID: bitsat-2
Let E=1,2,3,4 and F=1,2. Then the number of onto functions from E to F is
1
14
2
16
3
12
4
8
02
PYQ 2011
medium
mathematics ID: bitsat-2
If f(x) is a function that is odd and even simultaneously, then f(3) - f(2) is equal to:
1
1
2
â1
3
0
4
None of these
03
PYQ 2011
medium
mathematics ID: bitsat-2
If f(x)=casesx,& x rational
1-x,& x irrationalcases then f(f(x)) is equal to:
1-x,& x irrationalcases then f(f(x)) is equal to:
1
1
2
x
3
1+x
4
None of these
04
PYQ 2011
medium
mathematics ID: bitsat-2
If f(x)=1-x1+x, the domain of fâťÂš(x) is:
1
R
2
R--1
3
(-â,-1)
4
(-1,â)
05
PYQ 2012
medium
mathematics ID: bitsat-2
If is an even function and is an odd function, then the function is:
1
an even function
2
an odd function
3
neither even nor odd
4
a periodic function
06
PYQ 2012
medium
mathematics ID: bitsat-2
If is a decreasing
function of in , then the set of possible values of a (independent of ) is
1
2
3
4
None of these
07
PYQ 2014
medium
mathematics ID: bitsat-2
Let be a function defined by , where . Then
1
is one-one onto
2
is one-one into
3
is many-one onto
4
is many-one into
08
PYQ 2014
medium
mathematics ID: bitsat-2
The domain of the function
is:
1
2
3
4
09
PYQ 2015
medium
mathematics ID: bitsat-2
The domain of the function
is
1
2
3
4
10
PYQ 2016
medium
mathematics ID: bitsat-2
Let . Then , provided that:
1
2
3
4
a=b=c=d=1
11
PYQ 2017
medium
mathematics ID: bitsat-2
The domain of the function
is
is
1
2
3
4
(-2,-1)âŞ(1,2)
12
PYQ 2018
medium
mathematics ID: bitsat-2
The domain of the function f(x)=âx²-[x]², where [x] denotes the greatest integer less than or equal to x, is:
1
2
3
4
None of these
13
PYQ 2019
medium
mathematics ID: bitsat-2
The domain of the function
f(x)=fracsinâť1(x-3)â(9-x²)
is
1
2
3
4
[2,3]
14
PYQ 2021
medium
mathematics ID: bitsat-2
The domain of the function
f(x)=sinâť1(logâ((1)/(2)x²))
is
1
[ -2,-1 ] ⪠[ 1,2 ]
2
( -2,-1 ] ⪠[ 1,2 )
3
[ -2,-1 ) ⪠( 1,2 ]
4
( -2,-1 ) ⪠( 1,2 )
15
PYQ 2021
medium
mathematics ID: bitsat-2
Let f and g be functions from R to R defined as
Then
1
2
3
4
16
PYQ 2026
medium
mathematics ID: bitsat-2
Let and such that for all , and . Which of the following is correct?
1
must be discontinuous
2
is bijective and symmetric about
3
is constant
4
is not differentiable anywhere