KARUNYA ENTRANCE EXAMINATION - 2026 (KEE’26) SAMPLE Question Paper For the candidates who have studied Mathematics in +2 Mathematics Physics Chemistry English General Aptitude
For the candidates who have not studied Mathematics in +2 Biology Physics Chemistry English General Aptitude
PART A(1) - MATHEMATICS 1. The number of elements in the set
S= { ( x , y , z ) : x , y , z ∈ z , x+ 2 y +3 z=42, x , y , z ≥ 0 } is equal to (a) 170 (c) 150
(b) 169 (d) 154
2. Let A={ n ∈ N : HCF ( n , 45 )=1 } and B= {2 k :k ∈ { 1,2,3 , ….100 } }. The sum of all the elements of A ∩ B is (a) 5264 (b) 5260 (c) 5280 (d) 5296 3. If f ( x )=log 2
(a) ( f ( x ) ) (b) 2 f ( x )
1+ x ( 1−x ), then f ( 1+2 xx ) is equal to 2
3
(b) ( f ( x ) ) (d) 3 f ( x )
{}
{}
4 x +3 2 2 2 , x ≠ and ( fof ) ( x )=g ( x ) ,where g : R− → R− , then 6 x−4 3 3 3 ( gogog ) ( 4 ) is equal to −19 19 (a) (b) 20 20 (c) -4 (d) 4
4. If f ( x )=
5. If
cos 4 α sin 4 α + 2 =1 then sin 4 α +sin 4 β is equal to 2 cos β sin β
KEE’26 Model Question Paper
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