MAT - 3rd December, 2006 Samples Questions Samples questions and answers that appeared in MA Section: Q1 There are 4 boys and 3 girls. What is the probability the boys and girls sit alternately? Ans 1/35 Q2 Two trains are 2 kms apart. Speed of one train is 20m/s and the other train is running at 30 m/s . Lengths of the trains are 200 and 300m. In how much time do the trains cross each other? Ans 50 seconds Q3 A& B are two players. They need to select one number from 1 to 25. If both the players select the same numbers they will win the prize. What is the probability of not winning in a single trial? Ans 24/25 Q4 Four different integers are in increasing AP such that one number is equal to sum of the squares of the other three numbers. Ans –1,0,1,2 Q5 A train runs first half of the distance at 40 km/hr and the remaining half at 60 km/hr. What is the average speed for the entire journey? Ans 48km/hr Q6 In a company there were 75 % skilled employees and the remaining unskilled. 80% of the skilled and 20% of the unskilled were permanent. If the temporary employees were 126 find the total number of employees. Ans 360 Q7 A person sells a horse at 12.5% loss. If he sells for 92.5 more, he will have a profit of 6%. What is the CP? Ans 500 Q8 One tap takes 15 min to fill, another tap takes 12 min to fill and the third tap can empty in 20 min. In how much time the tank would be full. Ans 10 min Q9 Three mixtures of water and milk are in the ratio 6:7, 5:9, 8:7. What would be the ratio if they were mixed together? Ans: None of the options were correct. The right answer would be data insufficient. Q10. Two trains are separated by 200km. One leaves at 6:00 am from Delhi and reaches Merrut at 10:00 am. Another train leaves from Merrut at 8:00 am and reaches Delhi at 11:30 am. At what time two trains meet each other? Ans 8:56 am Q11 If the height of the triangle decreases by 40% and the breadth increases by 40%. Then the effect on the area is Ans 16% decrease. Q12

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