Comprehension
The below shown line graph shows the monthly average sensex report from May to November. Study the graph and answer the following questions.
May: 10337.68, June: 10631.12, July: 10120.01, August: 9734.22, September: 9964.29, October: 10536.16, November: 9839.69
Question: 1

In which month did the average sensex reading show a greater decrease during the given period?

Show Hint

Compare each month's reading with the month right before it and pick out the biggest drop.
Updated On: Jul 21, 2026
  • June
  • July
  • August
  • November
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Convert every month to month fall into a percentage.
Instead of comparing raw point drops, work out what percentage each fall is of the starting month's reading. This keeps the comparison fair even when the starting values differ.

Step 2: Calculate the percentage fall for each month that dropped.
July fell from 10631.12 to 10120.01. Percentage fall = (511.11 / 10631.12) x 100, about 4.81%.
August fell from 10120.01 to 9734.22. Percentage fall = (385.79 / 10120.01) x 100, about 3.81%.
November fell from 10536.16 to 9839.69. Percentage fall = (696.47 / 10536.16) x 100, about 6.61%.

Step 3: Rank the percentage falls.
August's fall is the smallest at about 3.81%.
July comes next at about 4.81%.
November has the largest percentage fall at about 6.61%.

Final Answer:
Whether the fall is measured in raw points or in percentage terms, November comes out as the month with the greatest decrease. \[ \boxed{\text{November}} \]
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Question: 2

What is the ratio between the highest reading and the lowest reading of the sensex report during the given period (approximately)?

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Find the highest and lowest points on the graph, then divide the highest by the lowest.
Updated On: Jul 21, 2026
  • 7 : 5
  • 11 : 10
  • 25 : 23
  • 34 : 31
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Round the extreme values before dividing.
The highest reading, June's 10631.12, rounds to about 10600.
The lowest reading, August's 9734.22, rounds to about 9700.

Step 2: Simplify the rounded ratio.
Ratio $= 10600 : 9700$.
Divide both sides by 100: $106 : 97$.
Dividing both parts by about 9.7 brings it near a small ratio: $106/9.7 \approx 10.9$ and $97/9.7 = 10$, so the ratio sits close to 10.9 : 10, which rounds to 11 : 10.

Step 3: Check this against the exact values.
Using the exact figures, $10631.12 / 9734.22 \approx 1.092$, which still sits nearest to a clean 11 : 10 split once rounded to one decimal place.

Final Answer:
Taking the highest and lowest sensex readings together gives a ratio of about 11 : 10. \[ \boxed{11:10} \]
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Question: 3

If the average sensex reading were expected to increase by 20% compared to its August value, what would that reading be in December?

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A 20% increase means multiplying August's reading by 1.2.
Updated On: Jul 21, 2026
  • 9968.376
  • 10249.564
  • 10958.924
  • 11681.064
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Find 20% of August's reading on its own.
August's reading is 9734.22.
10% of 9734.22 is 973.422, found by moving the decimal point one place left.
So 20% of 9734.22 is double that: $973.422 \times 2 = 1946.844$.

Step 2: Add this increase back to the original reading.
New reading $= 9734.22 + 1946.844$.

Step 3: Add the two numbers carefully.
$9734.220 + 1946.844 = 11681.064$.

Final Answer:
Adding a 20% rise to August's reading gives 11681.064 as the expected sensex value. \[ \boxed{11681.064} \]
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Question: 4

What is the percentage decrease in the sensex reading from May to November?

Show Hint

Find the fall from May to November, then express it as a percentage of May's reading.
Updated On: Jul 21, 2026
  • 3.7%
  • 4.8%
  • 5.9%
  • 7.8%
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Write November's reading as a fraction of May's reading.
Fraction $= \dfrac{9839.69}{10337.68}$.

Step 2: Divide to see what share of May's value remains in November.
$\dfrac{9839.69}{10337.68} \approx 0.9518$.
This means November's reading is about 95.18% of May's reading.

Step 3: Subtract from 100% to get the drop.
Percentage decrease $= 100\% - 95.18\% = 4.82\%$, which rounds to about 4.8%.

Final Answer:
Working from the remaining percentage instead of the drop directly still gives a fall of about 4.8% from May to November. \[ \boxed{4.8\%} \]
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Question: 5

For how many months has the reading stayed below the monthly average for this period?

Show Hint

First find the average of all seven readings, then count how many months fall short of it.
Updated On: Jul 21, 2026
  • 2
  • 3
  • 4
  • 5
Show Solution

The Correct Option is C

Solution and Explanation

Step 1: Work out the average, then group the months from highest to lowest.
Ordering the readings: June 10631.12, October 10536.16, May 10337.68, July 10120.01, September 9964.29, November 9839.69, August 9734.22.
Adding all seven still gives 71163.17, and dividing by 7 gives an average of about 10166.17.

Step 2: Count how many months sit above this average instead.
May (10337.68), June (10631.12) and October (10536.16) are all higher than 10166.17. That is 3 months above average.

Step 3: Use the total number of months to find the below-average count.
There are 7 months in all, so the months below average $= 7 - 3 = 4$.

Final Answer:
Counting the above-average months and subtracting from the total also confirms that 4 months lie below the monthly average. \[ \boxed{4} \]
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