Comprehension

A state electricity report serves as an important tool to assess energy production and track progress in the power sector. By providing quarterly data on generation measured in gigawatt hours (GWh), the report highlights the contribution of different energy sources such as coal, gas, hydro, solar, and wind. This not only helps in understanding the overall energy mix and dependence on conventional versus renewable sources but also enables policymakers, planners, and stakeholders to evaluate trends, address gaps, and promote sustainable energy development. A state electricity report provides quarterly generation (in GWh) by source – Coal, Gas, Hydro, Solar, and Wind.

In Q1

Generation from Coal is 2,200 GWh, Gas contributes 800 GWh, Hydro 900 GWh, Solar 700 GWh, and Wind 400 GWh, for a total of 5,000 GWh.

In Q2

Coal rises to 2,400 GWh, while Gas dips to 700 GWh; Hydro improves to 1,000 GWh, Solar to 800 GWh, and Wind to 600 GWh, bringing the quarterly total to 5,500 GWh.

In Q3

Coal moderates to 2,100 GWh, Gas increases to 900 GWh, Hydro softens to 800 GWh, but Solar advances to 1,000 GWh and Wind to 700 GWh, keeping the total at 5,500 GWh.

In Q4

Coal moves to 2,300 GWh, Gas to 850 GWh, Hydro to 1,100 GWh, Solar to 900 GWh, and Wind to 850 GWh, for a total of 6,000 GWh.

For analysis, Renewables are taken as Hydro + Solar + Wind. A carbon policy scenario proposes cutting Coal by 10%, shifting the entire energy reduction equally into Solar and Wind. (255 words)

Question: 1

The total annual generation (GWh) is:

Show Hint

For annual totals, simply add the quarterly totals; do {not} recompute from each fuel unless necessary.
Updated On: Jul 3, 2026
  • \(20{,}500\)
  • \(21{,}500\)
  • \(22{,}000\)
  • \(22{,}500\)
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Pair opposite quarters: Q1 + Q4 = \(5,000 + 6,000 = 11,000\).
Step 2: Q2 + Q3 = \(5,500 + 5,500 = 11,000\).
Step 3: Add the two pair-totals together.
\[ \boxed{22{,}000 \text{ GWh}} \]
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Question: 2

The overall renewable share (as % of annual generation) closest to:

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Add renewable components first, then divide by the overall total and convert to a percentage.
Updated On: Jul 3, 2026
  • \(42.5%\)
  • \(43.8%\)
  • \(44.3%\)
  • \(45.0%\)
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Annual renewables by source: Hydro = \(900+1,000+800+1,100=3,800\); Solar = \(700+800+1,000+900=3,400\); Wind = \(400+600+700+850=2,550\).
Step 2: Total renewables = \(3,800+3,400+2,550 = 9,750\ \text{GWh}\), against \(22,000\ \text{GWh}\) annual generation.
Step 3: Share = \(9,750/22,000 \times 100\).
\[ \boxed{44.3\%} \]
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Question: 3

The quarter with the highest renewable percentage share is:

Show Hint

Compare percentages, not just absolute renewable GWh, when the question asks for “share.”
Updated On: Jul 3, 2026
  • Q1
  • Q2
  • Q3
  • Q4
Show Solution

The Correct Option is D

Solution and Explanation

Wind climbs every single quarter (\(400, 600, 700, 850\)) and, combined with Hydro and Solar both being strong relative to Q4's total generation, the renewable share peaks in Q4 at roughly \(47.5\%\), ahead of Q1 (\(40\%\)), Q2 (\(\approx43.6\%\)), and Q3 (\(\approx45.5\%\)).
\[ \boxed{\text{Q4}} \]
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Question: 4

A carbon policy reduces Q4 Coal by 10% and shifts the entire reduction equally to Solar and Wind. The new Q4 Solar (GWh) is:

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When a reduction is “shifted equally” to two items, divide the reduced amount by 2 and add to each.
Updated On: Jul 3, 2026
  • \(975\)
  • \(1{,}000\)
  • \(1{,}015\)
  • \(1{,}030\)
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Splitting a \(10\%\) cut equally between two sources is the same as each source gaining \(5\%\) of the original Coal figure: \(5\%\) of \(2,300 = 115\ \text{GWh}\).
Step 2: Add this directly to Solar's original \(900\ \text{GWh}\).
\[ \boxed{900 + 115 = 1{,}015 \text{ GWh}} \]
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Question: 5

The annual Gas: Hydro generation ratio is:

Show Hint

Reduce ratios by dividing both numbers by their greatest common divisor to match the given options.
Updated On: Jul 3, 2026
  • \(13:15\)
  • \(65:76\)
  • \(5:6\)
  • \(26:31\)
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Annual Gas = \(800+700+900+850 = 3,250\ \text{GWh}\); Annual Hydro = \(900+1,000+800+1,100 = 3,800\ \text{GWh}\).
Step 2: Divide both by \(25\): \(3,250 \div 25 = 130\), \(3,800 \div 25 = 152\), giving \(130:152\).
Step 3: Divide again by \(2\).
\[ \boxed{65:76} \]
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Question: 6

The quarter with the lowest renewable percentage share is:

Show Hint

Once you’ve computed quarter-wise percentages for one question, you can reuse them for others instead of recalculating.
Updated On: Jul 3, 2026
  • Q1
  • Q2
  • Q3
  • Q4
Show Solution

The Correct Option is A

Solution and Explanation

Looking at the quarter-wise renewable shares, the values rise steadily from Q1 through Q4, showing an improving trend over the year. Because Q1 sits at the start of this rising sequence, it naturally holds the smallest percentage among the four quarters.
The correct answer is Q1.
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