Find the value of 5068 ÷ 37 × 4 (use the standard order of operations and choose the closest integer option if needed).

Introduction / Context:
This numerical question checks your ability to handle division followed by multiplication using the standard order of operations. Since the division does not yield an exact integer, it also tests your skill in approximating to the nearest reasonable integer option, which is a common requirement in aptitude tests.

Given Data / Assumptions:

• Expression: 5068 ÷ 37 × 4.
• Division and multiplication have the same precedence and are evaluated from left to right.
• The answer choices are whole numbers, so an approximate integer value is expected.

Concept / Approach:
We first perform the division 5068 ÷ 37 to obtain a decimal value. Then we multiply this by 4. Because 37 is not a factor of 5068, the division does not simplify to a neat integer, so we round the result to the nearest whole number at an appropriate stage to match the answer choices. Working step by step prevents confusion between the operations.

Step-by-Step Solution:
Compute 5068 ÷ 37. This is approximately 137.027 (since 37 × 137 = 5069, which is very close to 5068).Now multiply the approximate quotient by 4: 137.027 × 4 ≈ 548.108.The closest integer to 548.108 is 548.Among the options given, 548 matches this approximate value and is therefore the best choice.

Verification / Alternative check:
Check 37 × 548 ÷ 4 to see how close we are to 5068. First compute 37 × 548 = 20276.Divide by 4: 20276 ÷ 4 = 5069, which differs from 5068 by only 1.This confirms that our earlier quotient estimate for 5068 ÷ 37 was very close to 137 and that 548 is a reasonable rounded result for the entire expression.

Why Other Options Are Wrong:
625 would require the approximate value of 5068 ÷ 37 ÷ 4 or some other misordering of operations, and does not fit the left-to-right evaluation of the given expression.214 is far too small and suggests that either the division result was miscomputed or that the multiplication by 4 was omitted.745 is too large and would correspond to overestimating 5068 ÷ 37 significantly.

Common Pitfalls:
A common mistake is to rearrange the expression as 5068 ÷ (37 × 4), which gives a completely different and much smaller result.Another pitfall is to round the division too coarsely at an early stage, leading to a final approximation that does not match any option well.

Final Answer:
Evaluating 5068 ÷ 37 × 4 and rounding to the nearest integer, the value is best represented by 548.