Question

Observe pattern A and pattern B in the given table and read the following statements.

$$\begin{array}{ccccc}\text{Pattern A}& 3& 6& 9& 12\\ \text{Pattern B}& 30& 60& 90& 120\end{array}$$
Statement 1: Each term in pattern A is twice the previous term.
Statement 2: Each term in pattern B is 30 more than the previous term.
Statement 3: Each term in pattern B is 27 more than the corresponding term in pattern A.
Statement 4: Each term in pattern B is 10 times the corresponding term in pattern A.

Which of the following statements is/are correct?

• A. Statement 1 only
• B. Statements 1, 2, and 3
• C. Statements 2 and 4
• D. Statements 1, 2, and 4

Answer 1

The correct option is C Statements 2 and 4

Statement 1: Each term in pattern A is twice the previous term. This statement is not true for all of the terms in pattern A. For example, 9 is not twice of 6.
Statement 2: Each term in pattern B is 30 more than the previous term. This statement is true for all of the terms in pattern B. .



Statement 3: Each term in pattern B is 27 more than the corresponding term in pattern A. This statement is not true for all of the corresponding terms. For example, 60 is not 27 more than 6.

Statement 4: Each term in pattern B is 10 times the corresponding term in pattern A. This statement is true for all of the corresponding terms.


Hence, statements 2 and 4 are correct.