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A zoo consists of only Tigers and Lions. The number of tigers in a zoo is three times the number of lions. Which one of the following numbers cannot represent the total number of animals in the zoo?
- a)48
- b)42
- c)44
- d)40
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A zoo consists of only Tigers and Lions. The number of tigers in a zoo...
Solution:
Let the number of lions in the zoo be 'L' and the number of tigers be '3L'.
Total number of animals in the zoo = L + 3L = 4L
We need to check which number among the given options cannot be expressed in the form 4L.
a) 48 = 4 x 12
b) 42 = 4 x 10.5
c) 44 = 4 x 11
d) 40 = 4 x 10
We can see that option (b) 42 cannot be expressed in the form 4L. Hence, the correct answer is option (b).
Conclusion: The total number of animals in the zoo is always a multiple of 4. Option (b) 42 cannot be expressed in the form 4L, and hence it cannot represent the total number of animals in the zoo.
Let the number of lions in the zoo be 'L' and the number of tigers be '3L'.
Total number of animals in the zoo = L + 3L = 4L
We need to check which number among the given options cannot be expressed in the form 4L.
a) 48 = 4 x 12
b) 42 = 4 x 10.5
c) 44 = 4 x 11
d) 40 = 4 x 10
We can see that option (b) 42 cannot be expressed in the form 4L. Hence, the correct answer is option (b).
Conclusion: The total number of animals in the zoo is always a multiple of 4. Option (b) 42 cannot be expressed in the form 4L, and hence it cannot represent the total number of animals in the zoo.
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Community Answer
A zoo consists of only Tigers and Lions. The number of tigers in a zoo...
Let the number of lions = x
We know that the number of tigers in a zoo is three times the number of lions. Hence, the number of tigers = 3x.
Then, x + 3x = 4x = total number of animals.
Thus the total number of animals is a number that must be divisible by 4.
Here, 42 is the only number which is not divisible by 4.
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