Question

DIRECTIONS for the question: In the following question there is a certain relationship between two given numbers. 3 : 11 :: 7 : ?

• A. 22
• B. 29
• C. 18
• D. 51
• E. 13

Hint:

Try common patterns: • Square + constant • Cube − constant • Multiplication + addition

Answer 1

Answer: (E)

Step 1: Understanding the Concept:
Find a mathematical operation (square, cube, or multiplication) that turns 3 into 11 and apply it to 7.
Step 2: Detailed Explanation:
Relationship for 3 and 11: $3^2 + 2 = 9 + 2 = 11$.
Step 3: Calculation:
Applying the same logic ($x^2 + 2$) to 7: $7^2 + 2 = 49 + 2 = 51$.
Step 4: Final Answer:
The missing number is 51. Thus, the correct option is (d).