Question : What is the average of the first 29 even numbers?
Option 1: 30
Option 2: 31
Option 3: 32
Option 4: 33
Correct Answer: 30
Solution : Sum of first $n$ terms of an arithmetic progression = $\frac{n}{2}(2×\text{first term} +(n-1)× \text{common difference})$ Here, the first 29 even numbers form an AP of 29 terms with a common difference of 2 and the first term being 2. So, the sum = $\frac{29}{2}(2×2 +(29-1)× 2) = 870$ Average = $\frac{\text{Sum of numbers}}{\text{Total numbers}}$ = $\frac{870}{29}$ = 30 Hence, the correct answer is 30.
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Question : Directions: Which of the following numbers will replace the question mark (?) and complete the given number series? 15, 19, 21, 25, 27, ?
Option 1: 31
Option 2: 32
Option 3: 29
Option 4: 30
Question : The value of $\frac{40+\frac{3}{4} \text { of } 32}{37+\frac{3}{4} \text { of }(34-6)}$ is:
Option 1: $1 \frac{3}{29}$
Option 2: $-1 \frac{3}{29}$
Option 3: $1 \frac{9}{29}$
Option 4: $2 \frac{3}{29}$
Question : What is the average temperature of Chennai in the cold season?
Option 1: 20° - 21° Celsius
Option 2: 32° - 33° Celsius
Option 3: 24° - 25° Celsius
Option 4: 29° - 30° Celsius
Question : What is the average of the first six prime numbers?
Option 1: $6 \frac{1}{3}$
Option 2: $6 \frac{5}{6}$
Option 3: $6 \frac{2}{3}$
Option 4: $6 \frac{1}{6}$
Question : Directions: Choose a similar group of numbers based on certain common properties they possess. (31, 19, 41)
Option 1: (16, 27, 11)
Option 2: (23, 33, 51)
Option 3: (27, 29, 47)
Option 4: (29, 17, 37)
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