20. JUlve using quadratic formula: 9x2 - 9(a + b)x + (2a+ 5ab + 2b
27.300 apples are distributed equally among a certain number of students. Had ther
students, each would have received one apple less. Find the number of students.
28. Two dice are thrown simultaneously. Find the probability of getting
(i) 6 as the product.
Sum of the numbers on the two faces are neither 9 nor 11.
29. At a fete, cards bearing 5 to 400, one on each card, are put in a box. Each player
at random and that card is not replaced. If the selected card bears a number whi
square of an even number, the player wins a prize.
(i) What is the probability that the first player wins a prize?
(ii) What is the probability that the second player wins a prize if the first pl
30. A bag contains 5 red balls and some blue balls. If the probability of drawing a
that of a red ball, find the number of blue balls in the bag.
31. Write the number of zeroes at the end of the number whose prime factorization
22 x 53 x 32 x 17
32. Prove that 2 +3V3 is an irrational number.
33. Can two numbers have 18 as their HCF and 380 as their LCM. Give reason
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