Difficulty: Medium
Correct Answer: 315360000 sec
Explanation:
Introduction:
Time-conversion questions often appear in aptitude tests to check basic arithmetic and unit conversion skills. Here we are asked to compute the total number of seconds in 10 years, assuming each year has 365 days. This involves converting years to days, days to hours, hours to minutes, and minutes to seconds.
Given Data / Assumptions:
 Number of years = 10. Each year is assumed to have 365 days (ignoring leap years). 1 day = 24 hours. 1 hour = 60 minutes. 1 minute = 60 seconds.
Concept / Approach:
 The basic idea is to convert years to days, then multiply by 24 to get hours, multiply by 60 to get minutes, and again by 60 to get seconds. In formula form: Total seconds = years * days-per-year * 24 * 60 * 60. We must perform the multiplication carefully to avoid arithmetic errors.
Step-by-Step Solution:
 Step 1: Convert years to days. 1 year = 365 days. 10 years = 10 * 365 = 3650 days. Step 2: Convert days to hours. 1 day = 24 hours. 3650 days = 3650 * 24 hours. 3650 * 24 = 3650 * (20 + 4) = 3650 * 20 + 3650 * 4 = 73000 + 14600 = 87600 hours. Step 3: Convert hours to minutes. 1 hour = 60 minutes. 87600 hours = 87600 * 60 minutes = 5,256,000 minutes. Step 4: Convert minutes to seconds. 1 minute = 60 seconds. 5,256,000 minutes = 5,256,000 * 60 seconds. 5,256,000 * 60 = 315,360,000 seconds. Therefore, total seconds in 10 years = 315,360,000 seconds.
Verification / Alternative check:
 We can use a compact formula directly: Seconds in 1 year = 365 * 24 * 60 * 60 = 31,536,000. Seconds in 10 years = 10 * 31,536,000 = 315,360,000 seconds. This matches the previous result exactly.
Why Other Options Are Wrong:
 31523500 sec and 315354000 sec: These values are close but result from incorrect multiplications or misplacing zeros. 315423000 sec: Slight overestimation, likely from using 366 days somewhere or miscalculating. 314496000 sec: This corresponds to 9.98 years or using 364 days per year, which is not the assumption given.
Common Pitfalls:
 Many candidates slip by forgetting a factor of 10 when scaling up from 1 year to 10 years or by mis-multiplying 365 by 24. Keeping track of zeros carefully and breaking the multiplication into simpler parts helps avoid mistakes.
Final Answer:
 There are 315,360,000 seconds in 10 years under the given assumption.
Discussion & Comments