#1
19th September 2014, 01:28 PM
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ISI B.Math. Sample Paper
Will you please provide the question paper for the ISI B.Math. exam ?
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#2
20th September 2014, 10:20 AM
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Re: ISI B.Math. Sample Paper
Here is the list of few questions of ISI B.Math. exam which you are looking for . ISI B.Math. Sample Papers 1. Let x; y; z be non-zero real numbers. Suppose ®; ¯; ° are complex numbers such that j®j = j¯j = j°j = 1. If x+y+z = 0 = ®x+¯y+°z, then prove that ® = ¯ = °. 2. Let c be a ¯xed real number. Show that a root of the equation x(x + 1)(x + 2) ¢ ¢ ¢ (x + 2009) = c can have multiplicity at most 2. Determine the number of values of c for which the equation has a root of multiplicity 2. 3. Let 1; 2; 3; 4; 5; 6; 7; 8; 9; 11; 12; ¢ ¢ ¢ be the sequence of all the positive integers which do not contain the digit zero. Write fang for this se- quence. By comparing with a geometric series, show thatPn 1 an < 90. 4. Find the values of x; y for which x2 + y2 takes the minimum value where (x + 5)2 + (y ¡ 12)2 = 142. 5. Let p be a prime number bigger than 5. Suppose, the decimal expan- sion of 1=p looks like 0:a1a2 ¢ ¢ ¢ ar where the line denotes a recurring decimal. Prove that 10r leaves a remainder of 1 on dividing by p. 6. Let a; b; c; d be integers such that ad ¡ bc is non-zero. Suppose b1; b2 are integers both of which are multiples of ad ¡ bc. Prove that there exist integers simultaneously satisfying both the equalities ax + by = b1; cx + dy = b2. 7. Compute the maximum area of a rectangle which can be inscribed in a triangle of area M. 8. Suppose you are given six colours and, are asked to colour each face of a cube by a di®erent colour. Determine the di®erent number of colourings possible. 9. Let f(x) = ax2 + bx + c where a; b; c are real numbers. Suppose f(¡1); f(0); f(1) 2 [¡1; 1]. Prove that jf(x)j • 3=2 for all x 2 [¡1; 1]. 10. Given odd integers a; b; c, prove that the equation ax2 + bx + c = 0 cannot have a solution x which is a rational number. |
#3
23rd May 2015, 12:57 PM
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Re: ISI B.Math. Sample Paper
I am looking for Sample Question Papers of Indian Statistical Institute (ISI) B.Math Exam so please provide me the same for preparation?
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#4
23rd May 2015, 01:02 PM
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Re: ISI B.Math. Sample Paper
Here I am providing you Sample Question Papers of Indian Statistical Institute (ISI) B.Math Exam for your preparation. Paper Pattern: Course consists of both core subjects and the electives. Core Subjects: Physics Algebra Geometry Computer Elective Subjects: Topology Statistics Computation etc Sample Question Papers of ISI B.Math Exam: ISI B.Math Exam Question Paper 1 more papers detail atteched pdf files; |