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The following industrial processes produce ethanol.

Hydration of ethene: C2H4(g) + H2O(g) =C2H5OH(l)

Fermentation of glucose: C6H12O6(aq) = 2C2H5OH(aq) + 2CO2(g)

(a) What is the atom economy by mass of the fermentation process?

A) 25.6%

B) 46.0%

C) 51.1%

D) 92.0%


Fiona has recently started acrylic painting and she is planning to order a few canvases and paints from an online stationery shop. The price of each 10 x 10 sized canvas is 120 tk and the price of each 25 ml paint tube is 75 tk. Depending on the total amount ordered from the shop, she will get some discounts. The table below shows the discount she will get on her total amount.


Total Amount (TK) Discount (TK)

0 - 299 No Discount

300 - 499 10

500 - 749 20

750 - 999 50

>= 1000 150

Write a python program and take two inputs from the user. The first input will be the number of canvases and the second input will be the number of paint tubes ordered. Based on the price of each item, calculate the total amount that Fiona needs to pay including the discount.


Let T:R^n--> R^m be a linear transformation and let ( v1,v2,....v3) be a linearly dependent set. Show that the set ( T (v1),T(v2),....T(vn))is also necessarily linearly dependent.


Construct the truth table of (p \land \lnot q) \lor \lnot (q \land r) \lor (r \land p)


Use truth tables to prove that (p \land \lnot q) \lor \lnot (q \land r) \lor (r \land p) \iff p \lor \lnot q \lor \lnot r

Construct a binary tree using the following 20,19,22,15,12,10,9,7,24,26,23,29,28,25

Given the two-factor product in, Q = 150L0.5K

0.5, wage rate of labour equals to 50 and rental 

cost of capital equals to 40.

Determine the amounts of labour and capital that will minimize the cost of producing 1118 

units of output.



Using Indifference curve analysis, show how price effect of a commodity is decomposed into 

income effect and substitution effect.



Write the Python code of a program that reads an integer, and prints the integer if it is NOT a multiple of 2 OR NOT a multiple of 5.

find the sum and product of eigenvalues of the matrix

[1 2 3

-1 2 1

1 1 1 ]


Mr. Vijay, a retired government servant, is considering investing his money in two proposals. He wants to choose the one that has higher average net present value and lower standard deviations. The relevant data are given below. Can you help him choosing the proposal?

Proposal A

Net present value (NPV) Chance of the possible outcome of NPV

1559 0.30

5662 0.40

9175 0.30


Proposal B

Net present value (NPV) Chance of the possible outcome of NPV

-10050 0.30

5812 0.40

20584 0.30



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