BHU MSC Maths Sample Question Paper

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Here I am giving you sample question paper for MSC mathematics entrance examination organized by banaras hindu university below :

Let G be a group of order 147. For any a ∈ G , a ≠ e , the number of solutions of x2 = a is
A) 49
B) one
C) three
D) zero

In the ring Z [i ] , where Z is the ring of integers, the element 1 − i
A) is both irreducible as well as prime
B) is neither irreducible nor prime
C) is irreducible but not prime
D) is prime but not irreducible

If one root of the equation x3 – 13x4 + 15x + 189 = 0 exceeds the other by 2, then all the roots are
(A) 7, 9 and 3
(B) -7, -9 and -3
(C) 7, 9 and –3
(D) -7, -9 and 3

Two forces 13 kg.wt. and 3√3 kg.wt. act on a particle at an angle θ and equal to a resultant force of 14 kg.wt., then the angle between the forces is
(A) 45°
(B) 30°
(C) 60°
(D) 90°

Let W1 and W2 be subspaces of dimensions 5 and 4 respectively of a vector space V of dimension 6.
Then dim (W1 ∩ W2) is
(A) Zero
(B) one
(C) at most two
(D) at least three

BHU MSC Maths Sample Question Paper




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