Direction (Q. 1-5) : Following table shows the percentage marks scored by seven students in six different subjects. Maximum marks of each paper are 80.

Students

P_{1}

P_{2}

P_{3}

P_{4}

P_{5}

P_{6}

A

58.75%

78.75%

81.25%

82.5%

77.5%

76.25%

B

63.75%

60%

65%

88.75%

83.75%

85%

C

68.75%

71.25%

58.75%

83.75%

55%

67.5%

D

52.5%

76.25%

63.75%

61.25%

58.75%

66.25%

E

85%

78.75%

70%

73.75%

67.5%

76.25%

F

87.5%

90%

77.5%

71.25%

73.75%

76.25%

G

81.25%

72.5%

87.5%

70%

81.25%

93.75%

What is the total marks scored by A in all six subjects ?

Two trains start at the same lime from two stations A and B and proceed towards each other at speeds of 30 kmh-' and 25 kmlr1 respectively. When they meet, the difference between the distances travelled by these two trains is 40 km. What is the distance between A and B ?

A tank is normally filled in 18 hours but due to a leak in the bottom, it takes 3 hours more to fill completely. If the tank is filled completely, in what time will the leak empty it completely ?

1/4 of a commodity is sold at 25% profit 1/8 of it is sold at 40% profit and the remaining at 30% profit. If the total profit is Rs. 240, what is the value of the commodity ?

without any restriction, 11 persons can sit in 11! ways, If we take all the girls together as one, the total number of persons will be 7 + 1 = 8, who can sit in 8! ways and the four girls can sit in 4! ways among themselves. So, when all the girls sit together the number of ways = 8! x 4!

When they don't sit together, the total number of ways = 111 - 8! x 4!

A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ?

Two red balls can be selected from four red balls in ^{4}C_{2} = 6 ways. and the third ball can be selected from the remaining 13 balls in ^{13}C_{1} = 13 ways.