NPTEL Week:0 Assignment 0 Answers(Jan 2020-Apr2020) (An Introduction to Programming through C++ )2020

                

               An Introduction To Programming Through C++

IIT Bombay.
ASSIGNMENT 0:

1.What is the greatest common divisor (also called the highest common factor) of 147 and 84?
Ans:  21

I bought 5kg of cauliflower at Rs 50/kg, 3 kg of cabbage at Rs 40/kg, 3kg of capsicum at Rs 60/kg, and 2 kg of peas at Rs 70/kg.

2.What is the total cost in Rupees?
Ans: 690

3.How many multiplications did you need to perform for calculating the total cost ?
Ans: 4

4.How many additions did you need to perform for calculating the total cost?
Ans: 3

5.How many additions would you need to perform for calculating the total cost if I had bought n items?  Give your answer in terms of n, as an expression in n.  Do not put any spaces in your answer.
Ans: n-1
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Next three questions (Q6, Q7 and Q8) are with reference to following description:

Given below is the seating plan for students in a certain class room.

Column 1 Column 2 Column 3

Row 1 Asha          Remo          Mehdi

Row 2 Bhimsen          Talat          Subbalaxmi

Just to clarify the meaning of the table above using examples: Bhimsen sits in Row 2, Column 1, while Mehdi sits in Row 1, Column 3.

Let Name [ i ] [ j ] = name of person sitting in row i and column j. Thus Name [ 2 ] [ 1 ] = Bhimsen, and Name [ 1 ] [ 3 ] = Mehdi.
6.What is Name [2][3]?
Ans: Subbalaxmi

7.Suppose i, j are such that Name[i][j] = Remo. What is the value of i?
Ans: 1

8.What is the value of j?
Ans: 2
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Next three questions (Q9, Q10 and Q11) are with reference to following description:

The corners of a rectangle in the x-y plane have coordinates (10,40), (10,70), (30,40), (30,70)

9.What is the area of the rectangle?
Ans: 600

10.Is the point (20,80) inside the rectangle?
Ans: No

11.If a point strictly inside the rectangle has coordinates (p,q), then which of the following is correct?
Ans: q > 40

12.What is the slope of the tangent to the curve y=x^2 at the point (2,4)?
Ans: 4
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Next three questions (Q13, Q14 and Q15) are with reference to following description:

Suppose x,y,z,w,u are numbers.  Suppose we are given that x > y, y> z, z > w, y > u.

You should determine how consistent the statements given below are with
the facts you know about the numbers. You can classify each statement as one of:
*Always true
*Can be true
*Cannot be true

13.x is the largest.
 Ans: Always true

14.u is the smallest
 Ans: Always true

15.y is the median
 Ans: Cannot be true

16.One thousand numbers are written on a large piece of paper. What method will you adopt to determine the largest one?
 Ans: Just remember the largest number as you scan the numbers starting from the first to the last.

17.Given a positive integer p > 1, however large, which one is a fool proof way of finding out if p is a prime?
 Ans: If p is not divisible by any number from 2 to another number  q such that the square of q is > p, then p is a prime.



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