# CDS Exam 2016 Mathematics Sample Paper Part – 8

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78. At a grocery store, the number of per day sold processed fruits cans in 15 days are 50,70,60,40. 30, 20, 5, 150, 55, 75, 65, 45. 35, 25, 52 then the outliers in observations are

(A) 50, 150

(B) 5, 150

(C) 25, 70

(D) 150

The following scores were obtained by eleven footballers in a goal-shoot competition: 5 3 6 8 7 8 3 1 1 6 3 2

79. The modal score was

(A) 3

(B) 6

(C) 8

(D) 11

80. The median scare was

(A) 3

(B) 6

(C) 8

(D) 11

81. The range of a sample gives an indication of the

(A) way in which the values duster about a particular point

(B) number of observations bearing the same value

(C) maximum variation in the sample

(D) degree to which the mean value differs from its expected value.

82. The range of a sample gives an indication of the

(A) way in which the values cluster about a particular point

(B) number of observations bearing the same value

(C) maximum variation in the sample

(D) degree to which the mean value differs from its expected value.

83, If a - b = 3 and a^{2} + b^{2} = 29, find the value of ab

(A) 10

(B) 1.2

(C) 15

(D) 18

84. The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts.

If one wants to buy 12 shirts, how much shall he have to pay?

(A) Rs. 1200

(B) Rs .2400

(C) Rs. 4800

(D) Cannot be determined

85. Free notebooks w re distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distrusted?

(A) 256

(B) 432

(C) 512

(D) 640

86. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time. Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 f bars per minute. If they continue traveling at these rates, then at which floor will their paths cross?

(A) 19

(B) 28

(C) 30

(D) 37

87. A train 125m long passes a man, running at 5 km/hr in the same the direction in which the train is going, in 10 seconds. The speed of the train is:

(A) 45km/hr

(B) 50Km/hr

(C) 54Km/hr

(D) 55km/hr

88. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

(A) 1:3

(B) 3:2

(C) 3:4

(D) None of these

89. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3:5?

(A) 4 liters, 8 liters

(B) 6 liters, 6 liters

(C) 5 liters, 7 liters

(D) 7 liters, 5 liters

90. A bag œntans4 white, 5 red and 6 blue bals. Three balisare drawn at random from the bag. The

probablity that aH of them are red, is:

(A) 1/22

(B)3/22

(C)2/91

(D)2/77