Number Sums and Series

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24 Multiples of 8 = 8, 16, 24 Least common multiple = 24 24 × 1 = 24, 24 × 2 = 48, 24 × 3 = 72, 24 × 4 = 96 24 + 48 + 72 + 96 = 240

Place value of 4 = 40000 Face value of 9 = 9 Sum = 40009

Second number = 235647 Fourth number = 256479 Sum = 492126

Cumulative, sum and grand are associated with total. Partial is the odd word out.

The SUM function in Excel and other spreadsheet software adds all specified numerical arguments together. It can handle individual numbers (SUM(5, 10, 15)) or cell ranges (SUM(A1:A10)) and is one of the most commonly used functions.

Let three consecutive positive even integers are (a – 2), a, (a + 2), their sum is 3a. As a is the middle number and is an even integer. So the sum must be divisible by 6. Out of given choices, choice (3) is not a multiple of 6.

Let three consecutive positive integers are (a – 1), a, (a + 1), their sum is 3a. As a is the middle number and is an integer. So the sum must be divisible by 3. Out of given choices only choice (1) is a multiple of 3.

Let 5 consecutive integers are X - 2, X - 1, X , X + 1 and X + 2. Their sum is 5X. So 5X= 350 which means X is 70 which is the middle number.

Let a = k, b = 2k and c = 3k Then, k + 2k + 3k = 66 Also, 6k = 66 Or k = 11 Therefore, a = 11, b = 22, c = 33 Also, (a + b)(a + c) = (11 + 22)(11 + 33) = 33 x 44 = 1452

It is the correct answer. 

The sum of numbers from 1 to n is given by the formula n(n+1)/2. For n=50: 50×51/2 = 1275. This is a standard arithmetic progression sum.

Suppose the five consecutive odd numbers are X, X + 2, X + 4, X + 6 and X + 8. Then, X + 4 + X + 8 = 150 X = 69 So, D = X + 6 = 69 + 6 = 75

7 + 8 = 15

9 and 10 9 + 10 = 19

5 and 15 5 + 15 = 20