Question

Q.7: Find the missing terms in multiple of 3: 3, 6, 9, __, 15

A. 10

B. 11

C. 12

D. 13

Answer 1

The answer is 'C. 12.'

Multiples

• Multiples refer to the products of a number when it is multiplied with consecutive numbers. Alternatively, when a number divided with the divisor gives zero as the remainder, the number is said to be the multiple of the divisor.

• In the given question, the multiples of 3 have been listed. The first three multiples are the answers, which we get by multiplying three by 1, 2, and 3. After the blank, we have the fifth multiple of three.

• Thus, the fourth multiple is missing. When we multiply three and four, we get the result of 12. Thus, option c will be the answer. Twelve will be placed in the missing blank.

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Answer 2

Answer:

• A multiple is the outcome of multiplying an integer (not a fraction) by a certain number. The multiples of the whole number are determined by eliminating the product of counting values and whole numbers

The sequence is an A.P. with a first term of three and a common difference of three.  Let the given sequence include n terms. Then,

the 4th term

3 * n = multiple of 3.

n = 1,2,3,4,5,...

3*1 = 3

3*2 = 6

3*3 = 9

3*4 = 12

3*5 = 15

n=4

∴Thus, there are 4th terms in the provided sequence.

⇒Multiples of three include: 3, 6, 9, 12, 15, 18, 21, 24, 27, and thirty.

Therefore, 12 is missing numbers in the given sequence.