Q.1 Tea worth Rs 126 per kg and Rs 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 153 per kg the price of the third variety per kg will be:

Q.2 The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle (6th) number is:

Q.3 There are 30 students in a class. The average age of the first 10 students is 12.5 years. The average age of the next 20 students is 13.1 years. The average age of the whole class is:

Q.4 A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed that of A. The cost of paint A per litre is Rs. 8 more than that of paint B. If the trader sells the entire mixture for Rs. 264 and makes a profit of 10%, then the highest possible cost of paint B, in Rs. per litre, is

Q.5 In an apartment complex, the number of people aged 51 years and above is 30 and there are at most 39 people whose ages are below 51 years. The average age of all the people in the apartment complex is 38 years. What is the largest possible average age, in years, of the people whose ages are below 51 years?

Q.6 Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio

Q.7 The batting average (BA) of a test batsman is computed from runs scored and innings played— completed innings and incomplete innings (not out) in the following manner: r1 = number of runs scored in completed innings n1 = number of completed innings r2 = number of runs scored in incomplete innings n2 = number of incomplete innings. (r1 + r2 ) BA = n1 To better assess a batsman’s accomplishments, the ICC is considering two other measures MBA1 and MBA2 defined as follows: MBA1 = r1 + n2 + max [0, (r2 ? r1) ] n1 n1 n2 n1 (r1 + r2 ) MBA2 = (n1 + n2 ) Based on the information provided which of the following is true?

Q.8 The batting average (BA) of a test batsman is computed from runs scored and innings played— completed innings and incomplete innings (not out) in the following manner: r1 = number of runs scored in completed innings n1 = number of completed innings r2 = number of runs scored in incomplete innings n2 = number of incomplete innings. (r1 + r2 ) BA = n1 To better assess a batsman’s accomplishments, the ICC is considering two other measures MBA1 and MBA2 defined as follows: MBA1 = r1 + n2 + max [0, (r2 ? r1) ] n1 n1 n2 n1 (r1 + r2 ) MBA2 = (n1 + n2 ) An experienced cricketer with no incomplete innings has a BA of 50.The next time he bats, the innings is incomplete and he scores 45 runs. It can be inferred that:

Q.9 A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The 7 average of the remaining numbers is 35 17 . What was the number erased?

Q.10 Three math classes: X, Y, and Z, take an algebra test. The average score in class X is 83. The average score in class Y is 76. The average score in class Z is 85. The average score of all sudents in classes X and Y together is 79. The average score of all students in classes Y and Z together is 81. What is the average for all the three clalsses?