MBA/MCA Entrance Test - October - 2011 - ANUCDE

134. Let N denote the set of positive integers the relation ≤ n N is
(1) an equivalence relation (2) reflexive but not symmetric
(3) symmetric but not reflective (4) neither reflexive nor symmetric
135. If P and Q are two statements then the symbolic form of “p” and not “q” is
(1) p ∧ q (2) p ∨ q (3) p ∧ q (4) p ∨ q
136. If p and q are two statements a tautology among the following is
(1) p ∨ ( q)
(2) p ∧ ( q)
(3) ( p)
∧ q (4) p ∧ q
137. { x ∈ R : x −1
= 3}=
———————.
(1) { x ∈ R : − 2 < x < y}
(2) { x ∈ R : − 2 ≤ x ≤ y}
(3) {− 2, 4}
(4) {− 1, 0, 1, 2, 3}
138. The number of solutions of x − 7| x|
+ 12 = 0 is
2
(1) 1 (2) 2 (3) 3 (4) 4
x
139. lim =
x → 0
1 + x − 1 − x
(1) 1/2 (2) 1 (3) 2 (4) 0
d
140. { x
3 + sin x}
=
dx
(1) 3 x
2 + sin x (2) 3 x + cos x (3) 3 x
2 + cos x (4) x cos x
2 +
141. In a distribution of 6, 4, 8, 3 occur with frequencies 4, 2, 5, 7 respectively then
the arithmetic mean is
(1) 5 (2) 5.25 (3) 6 (4) 6.25
142. The mean and median of a unimodal grouped data are 72.5 and 73.9
respectively. The mode is
(1) 66.7 (2) 77.6 (3) 67.6 (4) 76.7
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MB/MCCET 2011