Mathematics Assignment
Mathematics Assignment
Mathematics Assignment
: Mathematics
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INSTRUCTIONS
a) Students are required to submit all three assignment sets.
ASSIGNMENT
Assignment A
Assignment B
Assignment C
DETAILS
Five Subjective Questions
Three Subjective Questions + Case Study
40 Objective Questions
b)
c)
d)
e)
MARKS
10
10
10
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Assignment C
Assignment A
Marks 10
Answer all questions.
1.
Find three numbers in A.P. such that their sum is 27 and the sum of their squares is 341..
2. A firm invests Rs.10, 000 in a business which has a net return of Rs.500 per year. An investment of
Rs.20, 000 would yield a net return of Rs.2000 per year. What is the linear relationship between
investment and net return? What would be the annual return on an investment of Rs.12, 000?
3. The ratio of income of two persons is 9:7 and the ratio of their expenditures is 4:3.If each of them
manages to save Rs 2000 per month, find their monthly incomes.
4.
log y x
log z ( y 3 )
log x 3 z 2
5. Discuss the nature of roots of a Quadratic Equation. What is the Restriction imposed on
2
ax +bx+c=0 to be a quadratic also solve
x2
6x
x2
6x
Mathematics
Assignment B
Marks 10
Answer all questions.
1. Relation gives fundamentals of Function, how? Provide example to show that every function is a
relation but converse is not true.
2. Integrate following w.r.t x
x 2 e x dx
3. Find the derivative of the following with respect to x,
3x 2 5 x
7x 4
4. An automobile company uses three types of steel S1, S2 and S3 .For producing three types of cars
c1, c2 , c3. Steel Requirements (in tons) for each type of car are given below:
Type of car
Types
of
Steel
C1
C2
C3
S1
S2
S3
Determine the number of cars of each type which can be produced using 29, 13 and 16 tons of steel
of three types respectively.
Mathematics
Assignment C
Marks 10
Answer all questions.
Tick mark () the most appropriate Answers
1. If a merchant offers a discount of 40% on the marked price of his goods and thus ends up selling
at cost price, what was the % mark up?
a) 28.57%
b) 40%
c) 66.66%
d) 58.33%
2. One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and
receives Rs. 120 and a shirt. Then find the price of the shirt.
a) Rs. 80
b) Rs. 100
c) Rs. 120
d) Cannot be determined
3. A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may
get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35
lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder
daughter get at the time of the will?
a) Rs. 17.5 lakhs
b) Rs. 21 lakhs
c) Rs. 15 lakhs
d) 20
4. What will be Rs.1500 amount in three years if it is invested in 20% p.a. compound interest,
interest being compounded annually?
a) 2400
b) 2592
c) 2678
d) 2540
5. In an election contested by two parties, Party D secured 12% of the total votes more than Party
R. If party R got 132,000 votes, by how many votes did it lose the election?
a) 300,000
b) 168000
c) 3600
d) 24000
6. If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of
profit or loss that the merchant makes?
a) 20% Profit
b) 25% Loss
c) 25% Profit
d) 33.33% Loss
7. (17)
3.5
x (17) = 17
a) 2.29
b) 2.75
c) 4.25
d) 4.5
8. The average weight of a class of 24 students is 36 kgs . When the weight of the teacher is also
included, the average weight increases by 1kg. What is the weight of the teacher?
a) 60 kgs
b) 61 kgs
c) 37 kgs
d) None
(x - y)
9. If 3
(x + y)
= 27 and 3
a) 0
b) 4
c) 2
d) 6
150
(10)
146
a) 1000
b) 10000
c) 100000
d)
11. (0.04)
-1.5
10
=?
a) 25
b) 125
c) 250
d)
625
a) Euler
b) Universal
c) Hamilton
d) None of these
a) log10 10 = 1
b) log (2 + 3) = log (2 x 3)
c) log10 1 = 0
d) log (1x 2 x 3) = log 1 + log 2 + log 3
14. If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
a) 2.870
b) 2.976
c) 3.876
d) 3.912
15. log 10 (-1) =?
a) 0
b) 1
c) 10
d) Not Defined
a) 699/301
b) 1000/301
c) 0.3010
d) 0.6990
17. Father is aged three times more than his son Ronit. After 8 years, he would be two and a half
times of Ronit's age. After further 8 years,
a) 2 times
b) 2.5 times
c) 11/4 times
d) 3 times
a) 2 roots
b) 3 root
c) n roots
d) none
19.
g
a)
b)
g
c) g
d) none
0/0 is---
a) 0
b) 1
c) Meaningless
d) none
a) 15
b) 8
c) 10
d) 5
22. Sum of first n terms of a series is 5n2 + 2n, and then its second term is----
a) 15
b) 16
c) 17
d) None
23. Sum of first n terms of a series is 5n2 + 2n, then its second term is----
a) 15
b) 16
c) 17
d) None
24. Sum of infinite number of terms in G.P. with first term a and common ratio r is ---a) a/r
b) r/a
c) a/(1-r)
d) None
2
a) G.P.
b) A.P.
c) A.P. & G.P. both
d) Can not say
-1
1/x
d) None
-1
opposite Function
d) None
0
d) None
-1
34. x dx =
n+1
+ C,
a) for all
b) for all n = 1
c) for all n = 0
d) None of the above
35.
dx =
a) log x + C
b) log (1/x) + C
c) 1
d) None of the above