At the 2016 convention for Aim Far Motivational Society (AFMS), each AFMS member had the option of inviting just one non-member guest. Attending as the single guest of a member is the only way a non-member would be able to attend the convention. At the 2016 convention, of the AFMS Convention Hall’s seats, 60% were occupied by AFMS members and 10% were occupied by non-member guest. How many seat does the AFMS Convention Hall have?
(1) If 60% of the members who didn’t bring a guest instead had brought one, then the hall would have been 100% full.
(2) The number of empty seats was half the number of the AFMS members present.
Fewer than 48 children were surveyed about their pet preferences. Some of the children prefer foxes, some prefer wolfs, while the remaining prefer vultures. How many of the children surveyed prefer foxes as pets?
(1) The ratio of the number of children who prefer foxes to the number of children who prefer wolfs is 4 to 3.
(2) The ratio of the number of children who prefer foxes to the total number of children surveyed is 5 to 9.
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If x is a positive integer, what is the units digit of x?
(1) The units digit of x/10 = 4
(2) The tens digit of 10x = 5
If A and B are single digit non-zero numbers, what is the product of A and B?
(1) When the two-digit number AB is added to BA, the digits at units, tens and hundreds place in the sum are L, 8 and 1 respectively.
(2) When the two-digit number AB is added to BA, the digits at units place and tens place in the sum differ by 1.
On Christmas, a class teacher gave a gift pack to each student present in a class. Each pack had x chocolates, y biscuits and z toffees. How many students were there in the class?
(1) Each student received chocolates, biscuits and toffees in the ratio 1:2:4.
(2) The class teacher distributed a total of 7 chocolates, 14 biscuits and 28 toffees and the number of students present in the class was more than 1.
What percent of the visitors to a certain zoo were female?
(1) A quarter of the visitors who did not visit the lions cage were male.
(2) Three quarters of the visitors who visited the lions cage were female.
If n and p are positive integers, is the ratio of n to p 2 : 1?
(1) n – p < 0
(2) np = 20
In a garden, the ratio of the number of apples, bananas and cherries is 7:5:2. If the number of cherries is greater than or equal to 5, how many apples are there in the garden?
(1) The sum of the number of cherries and bananas is less than 29
(2) The sum of the number of apples and bananas is less than 37.
What is the result when x is rounded to the nearest hundredth?
(1) When x is rounded to the nearest thousandth the result is 0.455.
(2) The thousandth digit of x is 5.
A teacher distributed a number of candies, cookies, and toffees among the students in the class. How many students were there in the class?
(1) The numbers of candies, cookies, and toffees that each student received were in the ratio 3:4:5, respectively.
(2) The teacher distributed a total of 27 candies, 36 cookies, and 45 toffees