APPLIED MATHEMATICS XI CBSE Final Exam 21-22
APPLIED MATHEMATICS XI CBSE Final Exam 21-22
APPLIED MATHEMATICS XI CBSE Final Exam 21-22
In a library 25 students are reading books. It was found that 15 students are reading
Mathematics, 12 reading Physics, and 11 students are reading Chemistry. If 5 students are
reading both Mathematics and Chemistry, 9 students reading Physics and Mathematics and
4 students reading Physics and Chemistry and 3 students are reading all three subjects.
On the basis of the above information answer the following question:
(5) The number of students reading only chemistry book?
(a) 4 (b) 5 (c) 6 (d) 8
(6) The number of students reading only one subject?
(a) 12 (b) 10 (c) 11 (d) 9
(7) The number of students reading at least one subject?
(a) 23 (b) 32 (c) 20 (d) 21
(8) If the total time taken to read chemistry book is 14 hrs, then how many hours were devoted to
read only chemistry book by those students who are reading only chemistry book?
(a) 84 (b) 90 (c) 70 (d) 75
In a class of few students, teacher give students few code and ask them question related to
those codes. Codes are # $ @: Dust is harmful; @!%: harmful object kill; #*%: Dust can
kill; 123: DOG; 59:For; 547:Lungs
On the basis of this information, teacher ask following questions:
(9) What is the code for Dust in this language?
(a) # (b) $ (c) ! (d) @
(10) What is the code for kill in this code language?
(a) # (b) % (c) ! (d) @
(11) What is the code for Dust kill DOG?
(a) # @123 (b) # % 123 (c) $% 123 (d) #$ 123
(12) What is the code for “Dust is harmful For Lungs”
(a) #$ @ 59 547 (b) # $ 59 @ 547 (c) # $ ! 59 547 (d) # ! @ 59 547
(10) If in an A.P. 7th term is 9 and 9th term is 7, then find 16th term.
(11) The first terms of G.P is 2 and sum to infinity is 6, find common ratio.
3. Average salary of all the 50 employees including 5 officers of a company is Rs.850. If the average
salary of the officer is Rs.2500. Find the average salary of the remaining staff of company.
7. Let A = {1,2,3,4}, B = {1,4,9,16,25} and R be a relation defined from A and B as, R = {(x,y) : x A, y
B and y = x2}
(i) Depict this relation using arrow diagram.
(ii) Find domain of R.
(iii) Find range of R.
(iv) Write co-domain of R.
Q.5] Answer the following Question [5 Marks each =15]
1. (i) A rectangular grassy plot is 112m by 78m. It has a gravel path 2.5m wide all around it on the
inside. Find the area of the path and the cost of constructing it at 2 per square metre?
(ii) Semi-circular lawn are attached to all the edges of a rectangular field measuring 42 m x 35
m. Find the total area of fields.
2. In a group of 500 persons, 300 take tea, 150 take coffee, 250 take cold drink, 90 take tea and
coffee, 110 take tea and cold drink, 80 take coffee and cold drink and 50 take all the three
drinks.
(i) Find the number of persons who take none of the three drinks.
(ii) Find the number of persons who take only tea.
(iii) Find the number of persons who take coffee and cold drink but not tea.
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