Question : A and B have some toffees. If A gives one toffee to B, they will have an equal number of toffees. If B gives one toffee to A, the number of toffees with A is double the number with B. The total number of toffees with A and B is:
Option 1: 12
Option 2: 10
Option 3: 14
Option 4: 15
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Correct Answer: 12
Solution : Let the number of toffees with A and B be x and y respectively. According to the question: Case 1. x – 1 = y + 1 ⇒ x = y + 2...............(equation 1) Case 2. x + 1 = 2(y – 1) ⇒ x – 2y = –3....................(equation 2) Putting the value of x, we get: 2 + y – 2y = –3 ⇒ y = 5 Putting the value of y in equation 1, we get: x = 5 + 2 = 7 Total toffees = 5 + 7 = 12 Hence, the correct answer is 12.
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Question : Out of the total toffees, $\frac{1}{10}$ are wasted. 35% of the rest are given to S and $\frac{1}{8}$ of the total are given to N. If the toffees with N are 10 more than the wasted toffees, how many toffees were given to S?
Option 1: 126
Option 2: 150
Option 3: 110
Option 4: 135
Question : If A is equal to 20% of B and B is equal to 25% of C, then what percentage of C is equal to A?
Option 1: 10
Option 2: 15
Option 3: 5
Option 4: 20
Question : A, B, and C can finish a work in 15 days working alternately in the same order. The efficiency of A is the same as that of B and the efficiency of C is equal to that of A. In how many days will the work be finished if they work alternately in the order C, A, and B?
Option 2: 14
Option 3: 15
Option 4: 16
Question : If the three numbers in the ratio 3 : 2 : 5 such that the sum of the squares is equal to 1862, then which number is the middle one?
Option 1: 16
Option 3: 13
Question : If one of the interior angles of a regular polygon is $\frac{15}{16}$ times of one of the interior angles of a regular decagon, then find the number of diagonals of the polygon.
Option 1: 20
Option 3: 2
Option 4: 35
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