Reference no: EM131111470
1 )
Let f(x) = x - |x| then f1 (x) = 1
(Note : [x] denotes the greatest integer less than or equal to x)
A ∀x∈ R
B ∀x∈R - {0}
C ∀x∈R-Z
D ∀x∈R - {1}
2)
limn→∞ nCr (m/n)r (1 - m/n )n-r equals
A e-m mr
B mr/r!
C mre-m/r!
D e-rrm/m!
3)
Integration of cotx/1 + sin square x
4)
Consider f(x) = x2/|x|, x ≠ 0,
= 0, x = 0
A f(x) is discontinuous every where
B f(x) is continuous every where
C f' (x) exists for all x in (-1, 1)
D f' (x) exists for all x in (-2, 2)
5) (√(42 + (√(42 + (√42+...)) =
A 7
B -6
C 5
D 4
6) If the position vector of a point P is r→: = xi^ + yj^ + zk^, where x, y, z∈N and α- is a vector given by α→ = i^ + j^ + k^, then the total number of possible positions of point P for which r→.α→ = 10.
A 36
B 72
C 66
D 100
7) Question :
A person is to count 4500 currency notes. Let an denote the number of notes he counts in the nth minute. If a1 = a2 = ...... = a10 = 150 and a10, a11,...... are in A.P with common difference (-2), then the time taken by him to count all notes is
A 34 minutes
B 125 minutes C 135 minutes
D 24 minutes
8) Question:
The product of n consecutive natural numbers is always divisible by
A 4n!
B 3n!
C 2n!
D n!
9)
The number of ways in which the candidates A1, A2 A10 can be ranked if Al is always above A2 is
A 9! 2!
B 9!
C 10!/2
D 10!
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