Question

In the following question there is a certain relationship between two given numbers on one side of : and one number is given on another side of : while another number is to be found from the given alternatives, having the same relation with this number as the numbers of the given pair have. Choose the correct alternative: 6 : 43 : : 4 : ?

• A. 4
• B. 5
• C. 29
• D. 88
• E. 21

Hint:

For number analogies, try common operations: square, cube, multiplication, addition, subtraction. Test the pattern on the given pair before applying to the second.

Answer 1

The Correct Option is C

Step 1: Find the relationship between 6 and 43.
Step 2: $6^2 = 36$, $36 + 7 = 43$. Or $6 \times 7 + 1 = 43$, or $6 \times 6 + 7 = 43$. Try $6^2 + 7 = 43$.
Step 3: Apply the same relationship to 4: $4^2 + 7 = 16 + 7 = 23$. Not in optionss.
Step 4: Try $6 \times 7 + 1 = 43$, then $4 \times 7 + 1 = 29$. This works and 29 is an options.
Step 5: Check other possibilities: $6^3 - 173 = 216 - 173 = 43$, too complex.
Step 6: Final Answer: 29.