Teachers and students of class X of a school had gone to Nandan Kannan for study tour.
After visiting different places of Nandan Kannan, lastly, they visited bird’s sanctuary and
deer park. Rohan is a clever boy and keen observer. He put the question to his friends “ How
many birds are there and how many deer are there (at particular time) in Nandan Kannan?”
Rahul’s friend, Nishith gave the correct answer as follows: ‘Nishith answered that total
animals have 1000 eyes and1400 legs.’
1. If x and y be the number of birds and deer respectively, what is the equation of total
number of eyes?
a) x + y = 1000 b) x + y = 500 c) x − y = 1000 d) x − y = 500
2. What is the equation of total number of legs?
a) 2x + y = 70 b) x + 2y = 500 c) x + 2y = 700 d) 2x − y = 500
3. How many birds are there in the Zoo?
a) 1000. b) 5000. c) 300 d) 200
4. How many deer are there in the Zoo?
a) 500 b)200 c)300 d)700
5. Total number of animals (birds and deer) is :
a) 1000 b)700 c)500 d)300
Answers
1) If x and y be the number of birds and deer respectively, what is the equation of total number of eyes ?
a) x + y = 1000 b) x + y = 500 c) x − y = 1000 d) x − y = 500
Answer :-
→ Total eyes = 1000
so,
→ 2x + 2y = 1000
→ 2(x + y) = 1000
→ x + y = 500 (b) (Ans.) -------- Eqn.(1)
2. What is the equation of total number of legs ?
a) 2x + y = 70 b) x + 2y = 500 c) x + 2y = 700 d) 2x − y = 500
Answer :-
→ Total legs = 1400
so,
→ 2x + 4y = 1400
→ 2(x + 2y) = 1400
→ x + 2y = 700 (c) (Ans.) ------- Eqn.(2)
3. How many birds are there in the Zoo ?
a) 1000. b) 5000. c) 300 d) 200
Answer :-
subtracting both Equations we get,
→ (x + 2y) - (x + y) = 700 - 500
→ x - x + 2y - y = 200
→ y = 200
putting value of y in Eqn.(1)
→ x + 200 = 500
→ x = 300 = Total birds (c) (Ans.)
4. How many deer are there in the Zoo ?
a) 500 b)200 c)300 d)700
Answer :- (b) 200 deer .
5. Total number of animals (birds and deer) is :
a) 1000 b)700 c)500 d)300
Answer :- (c) 500 animals .
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https://brainly.in/question/24178769
1) x + y = 500
2) x + 2y = 700
3) 200
4) 300