1st PUC Mathematics Series-3

Q.21 In a competition, a school awarded medals in different categories, 36 medals in
dance, 12 medals in dramatics and 18 in music. If these medals went to a total of 45
students and only 4 students got medals in all the three categories, How many did
receive medals in exactly two of the categories?

Q.22 Among 200 ppl, 56% like strawberry, 44% like apple, and 40% like raspberry. IF
30% of people like both strawberry and apple, what is the LARGEST possible
number of people who like raspberry but do not like either strawberry or apple?

Q.23 A marketing firm determined that, of 200 households surveyed, 80 used neither
Brand A nor Brand B soap, 60 used only Brand A soap, and for every household
that used both brands of soap, 3 used only Brand B soap. How many of the 200
households surveyed used both brands of soap?

Q.24 There are 230 students. 80 play football, 42 play soccer and 12 play rugby. 32 play
exactly 2 sports and 4 play all three. How many students play none?

Q.25 . If y = cos x, then what is the maximum value of y?

Q.26 What is the period of the trigonometric function given by f(x) = 2 sin(5 x)?

Q.27 What is the amplitude of the function f(x) = -3cos(πx)?

Q.28 Which of the following functions has the greatest period?

Q.29 What is the range of the function f(x) = - 4 cos(2x - 3)?

Q.30 What is the phase shift of the function f(x) = 7sin(2x - π / 3)?