[{"role": "user", "content": "Problem 1.    A cycled from P to Q at 10 kmph and returned at the rate of 9 kmph. B cycled both ways at 12 kmph. In the whole journey B took 10 minutes less than A. Find the distance between P and Q.\nChoose from the following options:    (A)1.75km (B)2.75km (C)3.75km (D)4.75km (E)5.75km\n"}, {"role": "assistant", "content": "Explanation for Problem 1:   A -time = d/10 + d/9 = 19d/90 hours\\nB -time = 2d/12 = d/6 hours\\n10 min = 1/6 hours\\nThus 19d/90 - d/6 = 1/6\\n(19d-15d)/90 = 1/6\\n4d/90 = 1/6\\nthus d= 15/4 km = 3.75km\nThe answer is therefore C"}, {"role": "user", "content": "Problem 2.    In a poll of 45,000 dentists, only 30 percent responded; of these, 20 percent claimed to prefer Toothpaste A. How many of the dentists who responded did not claim a preference for Toothpaste A?\nChoose from the following options:    (A)2,200 (B)2,640 (C)6,160 (D)8,800 (E)10,800\n"}, {"role": "assistant", "content": "Explanation for Problem 2:   Find those who responded to the poll -\\n45000 x 3/10 = 4500 x 3 = 13500\\nFind those who responded who do not prefer toothpaste A -\\n13500 x 8 / 10 = 1350 x 8 = 10800\nThe answer is therefore E"}, {"role": "user", "content": "Problem 3.    In a shipment of 120 machine parts, 5 percent were defective. In a shipment of 80 machine parts, 10 percent were defective. For the two shipments combined, what percent of the machine parts were defective?\nChoose from the following options:    (A)6.5% (B)7.0% (C)7.5% (D)8.0% (E)8.5%\n"}, {"role": "assistant", "content": "Explanation for Problem 3:   5% of 120 is 6\\n10% of 80 is 8\\nAs the question says two shipments combined, we have to add the defective as well as total shipments.\\n8+6/120+80 = 15/200 = 7.5%\nThe answer is therefore C"}, {"role": "user", "content": "Problem 4.    In recent Malta elections, in a particular constituency, 100,000 votes were cast and each vote was cast for\neither Candidate A or Candidate B. If candidate A has won by 500 votes, what percent of the 100,000 votes\nwere cast for Candidate A?\nChoose from the following options:    (A)50.05% (B)50.25% (C)50.5% (D)51% (E)52.5%\n"}, {"role": "assistant", "content": "Explanation for Problem 4:   Difference of 500 means A got 250 votes above the midway...\\nSo A got 100,000/2 +250=50250...\\n% = 50250*100/100000=50.25%\nThe answer is therefore B"}, {"role": "user", "content": "Problem 5.    In 4 years, NAME_1's father will be double NAME_1's age then. Two years ago, while his mother was twice his age that time. If NAME_1 is going to be 32 years old  In your response, capitalize a few words to stress main points. Please limit the number of words with all capital letters to less than 3.
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