Institute of Chartered Financial Analysts of India (ICFAI) University 2003 B.Sc Mathematics semestar - Question Paper
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Sample Paper -2004
Mathematics
part – A
1. Write a quadratic formula whose roots are 3+?3 and 3-?3.
2. Show that any positive odd integer is of the form 4q+1 or 4+3, where q is a few integer.
3. If tanB = ¾, and A+B = 90?, then obtain the value of cotA.
4. If the zeros of the polynomial f(x) =x3-3x2+x+1 are (a-b) , a and (a+b) obtain the value of and b.
5. A cylinder, a cone and a hemi-sphere have equal base and identical height. What is the ratio of their volumes?
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6. Give an example of polynomial p(x), g(x), q(x) and r(x), satisfying
P(x) = g(x).q(x) + r(x), deg r(x) = 0
7. A die is thrown once. What is the probability of getting an even prime number?
8. Find the 20th term of the sequence -2, 0, 2, four ------------.
9. Find the perimeter of the sector whose base radius is 14 cm and central angle is 120?.
10. For what value of ‘k’ the subsequent pair of linear equations has infinitely many solutions?
10x + 5y – (k-5) = 0 and 20x + 10y – k = 0.
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part – B
11. Express sin 52? + cos 67? in terms of trigometric ratios of angles ranging from 0? and 45?. ‘OR’
Sin (A+B) =1/2 and cos (A+B) =1/2, 0?B, obtain A and B.
12. How many 3 digit numbers are divisible by 7?
13. Find the values of y for which the distance ranging from the points A (-3, 2) and B (4, y) is 7.
14. ABC is a triangle right angled at A and AD?BC. Show that AC2 = BC.CD.
15. Two dice are thrown once. What is the probability that the sum of the 2 numbers appearing on the top of the dice is less than or equal to 12?
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part – C
16. While covering a distance of 30km Ajeet takes 2hrs more than Amit. If Ajeet doubles his pace, he would take1hour less than Amit. obtain the ratio of their walking.
‘OR’
A number consists of 2 digits, the difference of digits is 3.If four times the number is equal to seven times the number found on reversing digits. obtain the number.
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