#1
14th March 2016, 03:45 PM
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MBA Maths By Amiya
Hi I would like to have the questions on the Mathematics Subject for practice which are provided by 3E learning Institute?
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#2
14th March 2016, 03:45 PM
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Re: MBA Maths By Amiya
the questions on the Mathematics Subject for practice which are provided by 3E learning Institute are as given below: 1. Mom demanded you to purchase 10 fruits of exactly 3 different types. Then how many different ways you can full fill her demand from a fruit market where you found 12 different types of fruits enough to full fill demand of a village. a. Infinite b. 12c3 c. 12c3*12c2 d. 12c3*9c2 e. NoT Sol: a+b+c = 10 => 9c2*12c3 2. In how many ways we can arrange 20 people on a regular decagon such that people are sitting on the vertex and middle of the sides a. 19! b. 19!/2 c.2*19! d. None of these Ans : 2*19! 3. There are how many times digit 5 come, if we write number from 189 to 5004 (including both) a. 1460 b. 1462 c.1466 d. None of these 0000 to 4999 5 at unit place - 5*10*10 = 500 5 at 10th place - 5*10*10 = 500 5 at 100th place - 5*10*10 = 500 5 from 0000 to 4999 = 500+500+500 = 1500 000 - 199 5 at unit place - 2*10 = 20 5 at 10th place - 2*10 = 20 189 - 199 5comes only 1 place 5000-5004 = 5 Total number of 5 = [0000 to 4999] - [000-199] + [189-199] +5 = 1500 - 40 +1 +5 = 1466 4. Total number of integral ordered pair solution of a*b*c=1001^2 a. 27 b. 27c3 c. 216 d.864 e. NoT Sol 864 a*b*c=1001^2 = 7^2*11^2*13^2 Required solution = (4C2)^3(3c0+3c1) 5. There are how many four digits numbers are in which all digits are prime and when we add 5 in the number the resultant numbers also have all prime digits. a. 64 b. 70 c. 76 d.80 e. NoT Sol: 2,3,5,7 If last digit 2 , then total no = 4*4*4 = 64 If last digit is 7 and second last digit is 2 , = 4*4 = 16 Total =80 6. In how many different way one a put 12 different rings in his 5 fingers of one hand such that each finger should have minimum 2 ring. a. 12! b. 6P2*12! c. 6c4*12! d.12!/(4!)^3 e. NoT Sol:[c] a+b+c+d+e= 12 with minimum two condition, 6c2*12! 7. Total number of odd positive integral solution of a+b+c+d <12 a. 16c4 b. 2^5 c. 11c3 d.12c4 e. NoT Sol: [b] a+b+c+d <12 a+b+c+d <=11 => a+b+c+d+e <=11 (2m+1)+ (2n+1)+ (2k+1)+ (2l+1)+(2j+1) <=11 (2m)+ (2n)+ (2k)+ (2l)+(2j) <=6 (m)+ (n)+ (k)+ (l)+(j) <=3 So total number of odd solutions = 7c4 8. Coefficient of x^2*y^3*z in (1-x-y-z)^20 a. 20!/[(14!)*(2!)*(2!)] b. 20!/[(14!)*(2!)*(3!)] c. - 3*20!/[(14!)*(3!)^2] d. None of these Sol: [b] distribution of powers 20!/[(14!)*(2!)*(3!)] 9.How many terms of ((13)^(0.5)*x - (3y)^(0.2)*y)^100 has integral coefficient a. 20 b. 10 c. 11 d. 100 e. None of these Sol: [c] 2a + 5b = 100 , total 11 non negative integral solution. 0. If w+ 5x + 5y + 5z = N has 165 non negative integral solution then what is the value of Max(N) a. 50 b. 45 c. 49 d. 44 d. none of these Sol: 5*9 -1 = 44 |
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