We Also Provide SYNOPSIS AND PROJECT. Contact www.kimsharma.co.in for best and lowest cost solution or Email: amitymbaassignment@gmail.com Call: +91 82907-72200 (Call/WhatsApp) or +91 88003-52777 (WhatsApp Only) 1 What is A.P. and G.P. series. Explain with 2 examples for each? 2 Solve the following linear equations by using Gauss eliminatin method: x+2y+z =7; x+3z=11; 2x-3y=1. 3 If the roots of the equation x2+ax-b=0 differ by unity, prove that a2 +4b-1=0. 4 What is a Matrix? Explain any three types of it. 5 Of the 100 boarders of a hostel 80 drink tea, 40 drink coffee and 25 drink tea and coffee both. How many of them drink neither tea nor coffee? 6 If nP5 : nP3 = 2:1, then find the value of n. 7 solve xy =yx, x=2y 8 Prove that nCr = nCn-r We Also Provide SYNOPSIS AND PROJECT. Contact www.kimsharma.co.in for best and lowest cost solution or Email: amitymbaassignment@gmail.com Call: +91 82907-72200 (Call/WhatsApp) or +91 88003-52777 (WhatsApp Only) Case study: The total cost C(x) associated with producing and marketing x units of an item is given by: C(x) = 0.005x3 - 0.02x2 + 30x +3000. From this information, solve the following s: Q.No 1: Find total cost when output is 4 units. Answer: Q.No 2: Find average cost of output of 10 units. Answer: Q.No 3: Find marginal cost when output is 3 units. Answer: 1. (am)n =… (A): amn (B): am+n (C): am-n (D): am 2. Express v72 = 6v2 in logarthmic form. (A): 1/2= log72 6v1 (B): 1/2= 6v1 (C): 1/2= log72 6v2 (D): 1/2= log72 6v3 3. Rational and irrational numbers together are called-------. (A): whole numbers (B): real numbers (C): prime numbers (D): none 4. Express log4 4 =1 in exponential form. (A): 41=4 (B): 41=5 (C): 41=6 (D): 41=7 5. solve x2-x-56=0 (A): 5,6 (B): -7, 8 (C): -7, 9 (D): -7, 10 6. v2 is an example of ------ (A): whole numbers (B): natural numbers (C): prime numbers (D): irrational numbers 7. If two rows or columns of a determinant are identical, the value of the determinant is ----. (A): 0 (B): 1 (C): -1 (D): 2 8. In number system 1,2,3,4 …… are (A): whole numbers (B): natural numbers (C): prime numbers (D): functional numbers 9. ¦4¦= … (A): 1 (B): 2 (C): 3 (D): 4 10. (-a)(-b) =… (A): ab (B): -ab (C): a(-b) (D): (-a)b 11. x +3 is a polynomial in x of degree---. (A): 1 (B): 2 (C): 3 (D): 4 12. Integrate the function x sinx (A): sinx- x cosx (B): sin x (C): cos x (D): sec x - cosec x 13. The 5th and the 12th terms of an A.P. series are 14 and 25 respectively. Find the common difference. (A): 1 (B): 2 (C): 3 (D): 4 14. Which term of the following series is 575? 4.5,9,18…. (A): 7th (B): 8th (C): 9th (D): 10th 15. A null set is also called-----. (A): singleton set (B): none set (C): subset (D): void set 16. Find the sum of the series 1+5+25+125….upto fifth terms. (A): 781 (B): 700 (C): 125 (D): 625 17. If A = {a,b}, B ={ b,c} then A?B= … (A): {0} (B): {a,b,c} (C): {a,b} (D): b,c} 18. Find the value of 10C3 (A): 120 (B): 10 (C): 30 (D): 3 19. Find the value of 6P4 (A): 6 (B): 4 (C): 24 (D): 360 20. If A= {1,2} and B={3,7}, then AnB= … (A): {1,2} (B): {3} (C): {7} (D): f 21. How many permutations could be made from the word 'Calcutta' ? (A): 5440 (B): 5000 (C): 5040 (D): 6040 22. In how many ways a committee of 5 can be selected out of 8 persons. (A): 5 (B): 8 (C): 56 (D): 40 We Also Provide SYNOPSIS AND PROJECT. Contact www.kimsharma.co.in for best and lowest cost solution or Email: amitymbaassignment@gmail.com Call: +91 82907-72200 (Call/WhatsApp) or +91 88003-52777 (WhatsApp Only) 23. Find the minimum value of the function 2x2-x3 . (A): at x=0 is 0 (B): at x=0 is 1 (C): at x=0 is 2 (D): at x=0 is 3 24. In coordinate geometary, how many quadrants are there? (A): 1 (B): 2 (C): 3 (D): 4 25. The ------ of a point is the path through which a point passes under certain given conditions. (A): locus (B): point (C): origin (D): 0 26. Solve the equation 25x2= 16 (A): x= ±2/5 (B): x= ±4/5 (C): x= 5 (D): x= ±4 27. Find the value of 7P4 ÷ 8P3 (A): 2.5 (B): 7.5 (C): 3.5 (D): 9.6 28. The value of (81).5 is … (A): 3 (B): 6 (C): 27 (D): 9 29. If a set contains a finite/limited number of elements then it is called a ------. (A): finite set (B): limit (C): singleton set (D): null set 30. A -------is a straight line with number units positive, zero and negative. (A): directed line (B): locus (C): positive slope (D): negative slope 31. If A = {1,2,3}, B ={2,3,4} then A-B =? (A): {0} (B): {1} (C): {2,3} (D): {3,4} 32. If two sets A and B are such that they donot have any common element then the sets A and B are called ------. (A): finite set (B): disjoint sets (C): singleton set (D): null set 33. In how many ways the letters of the word 'Daughter' can be arranged keeping the vowels together? (A): 4320 (B): 1223 (C): 1234 (D): 3000 33. If all the elements of a matrix are zero then it is called a ------. (A): empty matrix (B): diagonal matrix (C): null matrix (D): none 34. While adding matrices, (A+B)+C = … (A): ABC (B): A+BC (C): AB+C (D): A+(B+C) 35. Find the average value of the function over the given interval. f(x) = 4 - x on [0, 4] (A): 8 (B): 2 (C): 4 (D): 16 36. cos (-x) = … (A): Cos x (B): Cos 3x (C): sin (-x) (D): none of the above 37. Let V = {0,1,2,3,4,5,6,7,8,9}. Find (ø?V)nø (A): {0,1,2,3,4,5} (B): {0,2,4,6,8} (C): ø (D): {3,5,7} 38. If y= xx , find dy/dx (A): x (B): 1+logx (C): xx(1+logx) (D): logx 39. If U = {1,2,3,…..8,9} be the universal set. A = {1,2,3,4}. Find A' (A): {1,2,3,4,} (B): {2,3,4} (C): {5,6,7,8,9} (D): ø We Also Provide SYNOPSIS AND PROJECT. Contact www.kimsharma.co.in for best and lowest cost solution or Email: amitymbaassignment@gmail.com Call: +91 82907-72200 (Call/WhatsApp) or +91 88003-52777 (WhatsApp Only)