Question : The heights of six people are given as 6 feet 6 inches, 6 feet, 5 feet 8 inches, 6 feet 2 inches, 6 feet 4 inches, and 5 feet 10 inches, respectively. Find the average height of these six people.
Option 1: 6 feet 4 inches
Option 2: 6 feet
Option 3: 6 feet 1 inch
Option 4: 6 feet 6 inches
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Correct Answer: 6 feet 1 inch
Solution : The heights of six people are given as 6 feet 6 inches, 6 feet, 5 feet 8 inches, 6 feet 2 inches, 6 feet 4 inches, and 5 feet 10 inches. Sum of heights = 6 feet 6 inches + 6 feet + 5 feet 8 inches + 6 feet 2 inches + 6 feet 4 inches + 5 feet 10 inches = 34 feet + 30 inches = 36 feet + 6 inches Average = $\frac{\text{Sum of given numbers}}{\text{Total number}}=\frac {\text{36 feet + 6 inches}}{6} = \text{6 feet 1 inch}$ Hence, the correct answer is 6 feet 1 inch.
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Question : If p : q : r = 2 : 5 : 3 and r : s = 6 : 5, then what is the value of p : q : r : s?
Option 1: 4 : 12 : 7 : 3
Option 2: 4 : 10 : 6 : 5
Option 3: 6 : 5 : 8 : 10
Option 4: 8 : 12 : 7 : 8
Question : The lengths, the breadths, and the volumes of two cuboids are in the ratios of 4 : 5, 3 : 4, and 2 : 3, respectively. What is the ratio of their heights?
Option 1: 3 : 5
Option 2: 10 : 9
Option 3: 8 : 15
Option 4: 2 : 3
Question : The average of prime numbers between 1 and 20 is:
Option 1: $9$
Option 2: $9\frac{5}{8}$
Option 3: $10\frac{1}{8}$
Option 4: $8$
Question : Directions: By interchanging the given two numbers (not digits) which of the following equations will not be correct? 5 and 6
Option 1: 6 × 8 – 5 × 4 = 16
Option 2: 5 × 2 – 4 + 6 = 13
Option 3: 5 – 3 × 6 + 4 = –3
Option 4: 6 – 5 + 2 = 1
Question : If the ratio of the volumes of two cylinders is 6 : 5 and the ratio of their heights is 5 : 24, then what is the ratio of their radii?
Option 1: 12 : 7
Option 2: 5 : 6
Option 3: 1 : 2
Option 4: 12 : 5
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