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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'HSST MATHEMATICS - JUNIOR - NCA' And exam conducted in the year 2018. And Question paper code was '057/2018/OL'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.
^-{€^(0` }
8:-{` €^ (0, €^ (` }
©-{ €^ (` }
D:-None of these
Correct Answer:- Option-B
Question84:-If (8, b, c, x) is the hyper geometric series, then’ lim_(b->00)* F(a, b, a, റാഗ് ) is
A:-(1+x)*(a)”
B:-log(1 + x)
02000”
D:-sin x
Correct Answer:- Option-C
Question85:-If *P_(n)(x)’is the Legendre Polynomial, then *P_(n)(-1)° is
-1)*(n)
Correct Answer:- Option-C
Question86:-The equation *U_(xxxx_)+x*(2)U_(yy) = 0 is
A:-elliptic
B:-parabolic
C:-hyperbolic
D:-none of these
Correct Answer:- Option-A
Question87:-If a, b, c are three constants such that ‘U_(x)’ = a, ‘U_(y) = b and ` (| (2)` = c with u(x, y, z) = 0 at
(0, 0, 0); then U(1, 0, 0) is
Ava
B:-b
0:
D:-none of these
Correct Answer:- Option-A
Question88:-If 0 < s < 1, then ‘int_0*00(x*(s-1))/(1+x)dx° is
A:~beta’ (1, 5)
B:-‘beta’ (1- s, 1)
C:-beta’ (1- s,s)
D:-divergent
Correct Answer:- Option-C
Question89:-The Laplace transform L {* (sin omegat)/(t)’ } is
` 001^ (-1)((5)/ (4) `
(07608)/(5” (2)--0176687(2))`
:-` (5)/(5^ (2)+0171602 ^ (2))`
D:-none of these
Correct Answer:- Option-A
Question90:-Which of the following is a periodic function on *RR* ?
A:-x -[x]
B:-x
C:-[x]
D:-none of these
Correct Answer:- Option-A
Question91:-A velocity field is given by 0 = xi + (y + t) j. Then the stream line for this field at t = 2 is
A--circle
B:-ellipse
C:-hyperbola
D:-rectangular hyperbola
Correct Answer:- Option-D
Question92:-Consider the fuzzy sets A and 8 on X = [0,`(01)/(2)` ] where A(x) = sin x and B(x) = cos x. Then 0.8 — cut of
۸۰۸۸۰8 5ا
“لطم “يم
B:-X