Question : Rewa has some hens and some goats. If the total number of animal heads is 100 and the total number of animal feet is 348, then what is the total number of goats with Rewa?
Option 1: 76
Option 2: 74
Option 3: 55
Option 4: 80
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Correct Answer: 74
Solution : As per fact hens and goats each have one head, 2 legs, and 4 legs respectively. Let the number of hens be $x$. ⇒ Number of goats be $y$. According to the question, $x + y = 100$---(1) [Total heads = 100] Also $2x + 4y = 348$---(2) [total feets = 348] ⇒ $x+2y=174$ From equation 1, we can write, ⇒ $100-y+2y=174$ ⇒ $y = 74$ Hence, the correct answer is 74.
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Question : A man has some hens and some cows. If the total number of heads of both is 50 and the number of feet of both is 142, then the number of cows is:
Option 1: 21
Option 2: 25
Option 3: 27
Option 4: 29
Question : If the sum of 40% of a number and 30% of the same number is 70, then the number is:
Option 1: 200
Option 2: 100
Option 3: 150
Option 4: 125
Question : The number of students in a class has increased by 20% and the number has now become 66. Initially, the number was:
Option 1: 45
Option 2: 50
Option 4: 60
Question : Direction: The ratio of the number of girls to the number of boys in a town is 90%. If the total number of boys and girls in the town is 190, how many girls are in the town?
Option 1: 100
Option 2: 110
Option 3: 90
Question : The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then, the total number of students in the three classes before the increase is:
Option 1: 95
Option 2: 76
Option 3: 100
Option 4: 114
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