Directions : Study the following table carefully and answer the questions that follow: (Bank P.O., 2011) Semester Fees (In ₹ thousands) For Five Different Courses In 6 Different Years | Years | B.Tech | M.Sc. | B.Ed. | M.Phil | Diploma | |---|---|---|---|---|---| | 2005 | 11.5 | 5.8 | 7.5 | 4.7 | 1.8 | | 2006 | 14.5 | 6.4 | 11.6 | 5.8 | 3.2 | | 2007 | 20.0 | 10.2 | 13.9 | 8.6 | 4.8 | | 2008 | 22.2 | 14.6 | 15.8 | 12.7 | 5.6 | | 2009 | 35.8 | 17.7 | 18.5 | 25.1 | 12.5 | | 2010 | 50.7 | 20.9 | 22.6 | 18.9 | 14.9 | What was the difference between the total semester fee charged for Diploma course over the years together and the fee charged for B.Tech Course in the year 2009 ?
Aptitude
Numbers
Difficulty: Medium
Choose an option
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A₹ 8500
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B₹ 8000
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C₹ 6500
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D₹ 7000
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ENone of these
Answer
Correct Answer: ₹ 7000
Explanation
### Concept & Basic Arithmetic
This question requires summing a column of data, identifying a single specific data point, and finding their absolute difference. The final result must be scaled by the unit multiplier (thousands).
### Step-by-Step Solution
1. **Calculate Diploma Total:** Sum all values in the Diploma column.
$$ 1.8 + 3.2 + 4.8 + 5.6 + 12.5 + 14.9 = 42.8 $$
2. **Identify B.Tech 2009 Fee:** Look up the value for B.Tech in the year 2009.
$$ \text{Value} = 35.8 $$
3. **Calculate Difference:** Subtract the B.Tech fee from the Diploma total.
$$ 42.8 - 35.8 = 7.0 $$
4. **Convert to Actual Currency:** Multiply by $1000$.
$$ 7.0 \times 1000 = 7000 $$
### Exam Strategy & Shortcut
Instead of summing all Diploma fees completely and then subtracting, you can keep a running tally and subtract $35.8$ at the end, or look at the unit digits. $8+2+8+6+5+9 = 38$ (ends in $.8$). $35.8$ also ends in $.8$. Therefore, the difference must end in $.0$. The integer difference is $42 - 35 = 7$. $7.0 \times 1000 = 7000$.
### Common Pitfall
Misreading the table by summing the B.Tech column instead of pulling the single 2009 value, or vice versa for the Diploma column. Always read multi-part conditions carefully.
### Final Answer
Therefore, the correct answer is **₹ 7000**.