Mathematics Subject Test Preparation

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1. If

${\Huge F(x)=\int_0^{x^2}e^{-t^2}dt }$

for all positive $x$ , then $F'(x)=?$
$(A) \quad 2x$
$(B) \quad 2x^4$
$(C) \quad 2xe^{x^{4}}$
$(C) \quad 2xe^{-x^{4}}$

2. What is the number of roots of the polynomial

${\huge P(x)=4x^5-16x^4+4x^3+50x^2-20x-40 }$

(A) 2
(B) 3
(C) 4
(D) 5

3. Reciprocal of the “Curvature” is called?
(A) Radius of curvature
(B) Centre of curvature
(C) Evolute
(D) Involute

4. For what value of ‘A’ the function
is continuous?
(A) 2
(B) 3
(C) 4
(D) 5

5. If f(0) = 1 , f(1) = 4 and f (x) = f(x – 2) + 6 for all integers x > 1, then f(71) = ?
(A) 209
(B) 210
(C) 211
(D) 212

ANSWERS: MATHEMATICS SUBJECT TEST PREPARATION
1. D
2. D
3. A
4. B
5. C