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1. What must be the value of m so that the line -3x+4y-5 = 0 is perpendicular to the line 2mx-3y+4=0?








2. Each student of the school Z is a member of either club X or club Y, but not both. If each club has some international students, is the ratio of the number of domestic students to the number of international students greater for club X than for school Z? (1) The ratio of the number of domestic students to the number of international students is less for Class Y than school Z. (2) More than half of the domestic students of school Z are members of club X and more than half of the international students of school Z are members of club Y.








3. If n is a positive integer, what is the remainder when n3-n is divided by 24? (1) n can be divided by 8 (2) n is greater than 3








4. IF a and b both different two digit numbers and a - b= 11x, is x an integer? (1) The tens digit and units digit of a are the same. (2) a + b is a multiple of 11








5. In a football match, the 'golden' team was trailing by 2 goals with 5 minutes remaining.Did the ''golden' team win the match ? (1) Glen, the 'golden' team striker, scored 3 goals in the last 5min of the match. (2) Silver team the other team in the match had scored a total of 3 goals in the match when 5min were remaining in the match








6. What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?








7. A shampoo Manufacturer A developed a machine that can produce X million bottles of Shampoo bottles per hour. At the same time, a competitor B developed a rival machine that can produce Y million bottles per hour. Was the number of bottles produced per hour by Manufacturer A greater than three times the number of bottles produced by Manufacturer B. 1) On a per-hour basis, A produced 1 million more bottles than B. 2) B can produce between 400,000 and 1.4 million bottles per hour.








8. If a, b, c, and d are the digits of the four-digit number N, a positive integer, what is the remainder when N is divided by 9? 1. a + b + c + d = 22 2. N + 5 is divisible by 9








9. Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.55 ?








10. Four students were added to the dance class. Would the teacher be able to divide her students evenly into a dance team/s of 8? (1) If 12 students were added the teacher could put everyone in team of 8 without any leftovers (2) The number of students in the class is currently not divisible by 8







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