(a) Kumar takes 2 hours to travel 70 km. How much distance will he travel in 8 hours? (b) The cost of uniforms for 24 students is 6,000. How many students can get uniform for 72,000? (5 + 5)
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An Urn contains 3 Yellow and 4 Green balls. Find the probability distribution of the number of Green balls in three draws when a ball is drawn at random with replacement. Also find its mean and variance. (10)
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The probability that a girl will be selected for admission in a medical college is 0.21. The probability that she will be selected for admission in an engineering college is 0.26 and the probability that she will be selected in both is 0.12. (a) Find the probability that she will be selected in atleast one of the two colleges. (b) Find the probability that she will be selected either in a medical college only or in an engineering college only. (15)
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(a) The difference between two numbers is 5 and the difference between their squares is 75, find the larger number. (7½) (b) The area of a trapezium is 160 cm2. If its parallel sides are in ratio 2 : 3 and the perpendicular distance between them is 16 cm, find the smaller of parallel sides. (7½)
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