Question

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

• A. June
• B. July
• C. August
• D. November
• A. 7 : 5
• B. 11 : 10
• C. 25 : 23
• D. 34 : 31
• A. 9968.376
• B. 10249.564
• C. 10958.924
• D. 11681.064
• A. 3.7%
• B. 4.8%
• C. 5.9%
• D. 7.8%
• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

The Correct Option is D

Step 1: Find the change from one month to the next.
Look at each pair of neighbouring months and see whether the sensex reading went up or down.
May to June: 10337.68 to 10631.12, a rise of 293.44 points.
June to July: 10631.12 to 10120.01, a fall of 511.11 points.
July to August: 10120.01 to 9734.22, a fall of 385.79 points.
August to September: 9734.22 to 9964.29, a rise of 230.07 points.
September to October: 9964.29 to 10536.16, a rise of 571.87 points.
October to November: 10536.16 to 9839.69, a fall of 696.47 points.

Step 2: Pick out only the months where the reading fell.
Three months show a fall compared to the month before: July (511.11), August (385.79) and November (696.47).
The other months, June, September and October, show a rise, so they cannot answer a question about a decrease.

Step 3: Compare the size of each fall.
July's fall is 511.11 points.
August's fall is 385.79 points, the smallest of the three.
November's fall is 696.47 points, bigger than both July and August.

Final Answer:
November shows the greatest decrease in the average sensex reading, a drop of 696.47 points from October. \[ \boxed{\text{November}} \]

Answer 2

Step 1: Find the highest and the lowest readings on the graph.
Scan all seven monthly values: May 10337.68, June 10631.12, July 10120.01, August 9734.22, September 9964.29, October 10536.16, November 9839.69.
The highest reading is in June at 10631.12.
The lowest reading is in August at 9734.22.

Step 2: Set up the ratio and divide.
Ratio of highest to lowest \( = \dfrac{10631.12}{9734.22} \).
Dividing gives about 1.092, so the highest reading is roughly 1.09 times the lowest reading.

Step 3: Match this to a simple round ratio.
A value of about 1.09 to 1.10 can be written as 11 : 10, since \( \dfrac{11}{10} = 1.1 \), close to our computed value once rounded to one decimal place.
This is the simplest, roundest match among the choices offered, which fits what the question means by "approximately".

Final Answer:
The ratio of the highest reading to the lowest reading is approximately 11 : 10. \[ \boxed{11:10} \]

Answer 3

Step 1: Note the reading the increase is based on.
The question builds on August's reading, which is 9734.22 from the graph.

Step 2: Apply a 20% increase.
A 20% increase means the new value is 120% of the original value.
New reading \( = 9734.22 \times \dfrac{120}{100} \).

Step 3: Carry out the multiplication.
\( 9734.22 \times 1.2 = 11681.064 \).
Break it down: \( 9734.22 \times 1 = 9734.22 \), and \( 9734.22 \times 0.2 = 1946.844 \).
Adding these, \( 9734.22 + 1946.844 = 11681.064 \).

Final Answer:
The expected sensex reading after a 20% increase over August is 11681.064. \[ \boxed{11681.064} \]

Answer 4

Step 1: Note the starting and ending readings.
May's reading is 10337.68, and November's reading is 9839.69. Since November is lower, this is a decrease.

Step 2: Find the actual drop in value.
Decrease \( = 10337.68 - 9839.69 = 497.99 \).

Step 3: Convert the drop into a percentage of the starting value.
Percentage decrease \( = \dfrac{497.99}{10337.68} \times 100 \).
\( \dfrac{497.99}{10337.68} \approx 0.04817 \).
\( 0.04817 \times 100 = 4.817\% \), which rounds to about 4.8%.

Final Answer:
The sensex reading fell by approximately 4.8% from May to November. \[ \boxed{4.8\%} \]

Answer 5

Step 1: Add up all seven monthly readings.
May 10337.68, June 10631.12, July 10120.01, August 9734.22, September 9964.29, October 10536.16, November 9839.69.
Sum \( = 10337.68 + 10631.12 + 10120.01 + 9734.22 + 9964.29 + 10536.16 + 9839.69 = 71163.17 \).

Step 2: Divide by the number of months to get the average.
Average \( = \dfrac{71163.17}{7} \approx 10166.17 \).

Step 3: Compare each month's reading with this average.
May 10337.68 is above average.
June 10631.12 is above average.
July 10120.01 is below average, since it is less than 10166.17.
August 9734.22 is below average.
September 9964.29 is below average.
October 10536.16 is above average.
November 9839.69 is below average.

Step 4: Count the months that fell below the average.
The below-average months are July, August, September and November, which makes 4 months in total.

Final Answer:
The sensex reading stayed below the monthly average in 4 of the 7 months. \[ \boxed{4} \]