Q. If the bar graph indicates a steady increase in the sales of oranges from January to December, what can be inferred about consumer preferences?
A.
Oranges are becoming less popular.
B.
Consumer preferences for oranges are stable.
C.
Oranges are gaining popularity.
D.
Sales data is inconsistent.
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Solution
The steady increase in sales suggests that consumer preferences for oranges are indeed gaining popularity.
Correct Answer: C — Oranges are gaining popularity.
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Q. If the bar graph indicates that the sales of all fruits increased by 10% in 2023, what can be inferred about the market trend? (2023)
A.
Market is declining
B.
Market is stable
C.
Market is growing
D.
Market is volatile
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Solution
An increase in sales across all fruits suggests a growing market trend.
Correct Answer: C — Market is growing
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Q. If the bar graph indicates that the sales of all fruits increased in 2022, what can be inferred about consumer behavior? (2022)
A.
Consumers are buying less fruit
B.
Consumers are buying more fruit
C.
Consumers are indifferent to fruit
D.
Consumers prefer processed fruit
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Solution
An increase in sales suggests that consumers are buying more fruit.
Correct Answer: B — Consumers are buying more fruit
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Q. If the bar graph indicates that the sales of avocados doubled from 2021 to 2022, what does this imply? (2021)
A.
Avocados are losing popularity
B.
Avocados are becoming more popular
C.
Sales data is misleading
D.
Avocados have stable sales
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Solution
Doubling sales implies that avocados are becoming more popular among consumers.
Correct Answer: B — Avocados are becoming more popular
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Q. If the bar graph indicates that the sales of bananas increased by 50% from 2021 to 2022, what were the sales in 2021 if they were 600 units in 2022? (2021)
A.
400
B.
300
C.
500
D.
600
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Solution
If bananas increased by 50%, then 600 units in 2022 represents 150% of the 2021 sales, which means 2021 sales were 400 units.
Correct Answer: A — 400
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Q. If the bar graph indicates that the sales of Dates increased by 50% from 2021 to 2022, what was the sales figure for 2021 if it was 300 units in 2022? (2021)
A.
150 units
B.
200 units
C.
250 units
D.
300 units
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Solution
If the sales increased by 50%, then the sales figure for 2021 was 200 units.
Correct Answer: B — 200 units
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Q. If the bar graph indicates that the sales of oranges increased by 20% from 2021 to 2022, what can be inferred about the trend? (2021)
A.
Sales are declining
B.
Sales are stable
C.
Sales are increasing
D.
Sales are unpredictable
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Solution
An increase of 20% indicates a positive trend in sales for oranges.
Correct Answer: C — Sales are increasing
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Q. If the bar graph indicates that the sales of product Y were consistently higher than product Z throughout the year, what conclusion can be drawn?
A.
Product Y is more popular than product Z.
B.
Product Z is gaining popularity.
C.
Sales data is unreliable.
D.
Both products have equal sales.
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Solution
The consistent higher sales of product Y compared to product Z suggest that product Y is more popular.
Correct Answer: A — Product Y is more popular than product Z.
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Q. If the bar graph represents the average temperatures of different cities, which city has the highest average temperature?
A.
City X
B.
City Y
C.
City Z
D.
City W
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Solution
The bar graph shows that City X has the highest average temperature.
Correct Answer: A — City X
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Q. If the bar graph shows a sharp decline in the sales of strawberries in 2022, what could be a possible reason? (2022)
A.
Increased competition
B.
Higher prices
C.
Poor weather conditions
D.
All of the above
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Solution
All listed factors could contribute to a decline in sales.
Correct Answer: D — All of the above
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Q. If the bar graph shows that the sales of all fruits are projected to increase in 2023, what should a business consider? (2023)
A.
Reducing production
B.
Increasing marketing efforts
C.
Maintaining current stock
D.
Focusing on one fruit only
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Solution
Increasing marketing efforts would be beneficial to capitalize on the projected sales increase.
Correct Answer: B — Increasing marketing efforts
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Q. If the bar graph shows that the sales of all fruits except for pears increased, what can be inferred about pears?
A.
Pears are not selling well
B.
Pears are the most popular fruit
C.
Pears have stable sales
D.
Pears are increasing in sales
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Solution
The information suggests that pears are not selling well compared to the other fruits.
Correct Answer: A — Pears are not selling well
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Q. If the bar graph shows that the sales of grapes were twice that of cherries, and cherries sold 400 units, how many units of grapes were sold?
A.
800
B.
600
C.
400
D.
200
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Solution
If cherries sold 400 units, then grapes, being twice that, sold 800 units.
Correct Answer: A — 800
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Q. If the bar graph shows that the sales of Kiwis were 30% of the total sales of all fruits, what does this imply?
A.
Kiwis are the least popular
B.
Kiwis have a significant market share
C.
Kiwis are not selling well
D.
Kiwis are the most sold fruit
Show solution
Solution
Having 30% of total sales indicates that Kiwis have a significant market share.
Correct Answer: B — Kiwis have a significant market share
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Q. If the bar graph shows that the sales of product X increased by 20% from Q1 to Q2, what can be inferred about its market performance?
A.
Product X is losing market share.
B.
Product X is performing well in the market.
C.
Product X's sales are stagnant.
D.
Product X's sales are declining.
Show solution
Solution
An increase of 20% in sales indicates that Product X is performing well in the market.
Correct Answer: B — Product X is performing well in the market.
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Q. If the bar graph shows that the sales of strawberries doubled from 2021 to 2022, what was the sales figure in 2021 if it was 150 units in 2022? (2021)
A.
75 units
B.
100 units
C.
125 units
D.
200 units
Show solution
Solution
If sales doubled to 150 units in 2022, then the sales in 2021 were 75 units.
Correct Answer: A — 75 units
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Q. If the bar graph shows that the sales of strawberries were equal to the combined sales of blueberries and raspberries, what can be concluded?
A.
Strawberries are the best-selling fruit
B.
Blueberries and raspberries have low sales
C.
Strawberries have high sales
D.
Sales data is inaccurate
Show solution
Solution
The equality suggests that strawberries have high sales, matching the combined sales of the other two fruits.
Correct Answer: C — Strawberries have high sales
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Q. If the bar graph shows the average temperatures of four cities, which city had the highest average temperature?
A.
City X
B.
City Y
C.
City Z
D.
City W
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Solution
City Y had the highest average temperature as indicated by the tallest bar in the graph.
Correct Answer: B — City Y
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Q. If the base of a number system is increased by 1, how does the representation of the number '10' change?
A.
It remains the same
B.
It becomes 11
C.
It becomes 1
D.
It becomes 2
Show solution
Solution
In base 'b', '10' represents 'b'. In base 'b+1', it becomes '11'.
Correct Answer: B — It becomes 11
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Q. If the Binomial Theorem is applied to (x + 1)^n, what is the sum of the coefficients of the expansion?
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Solution
The sum of the coefficients in the expansion of (x + 1)^n is found by substituting x = 1, which gives 2^n.
Correct Answer: D — 2^n
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Q. If the Binomial Theorem is applied to (x + 2)^4, what is the term containing x^2?
A.
12x^2
B.
24x^2
C.
36x^2
D.
48x^2
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Solution
The term containing x^2 is C(4,2) * x^2 * 2^2 = 6 * x^2 * 4 = 24x^2.
Correct Answer: B — 24x^2
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Q. If the Binomial Theorem is applied to (x + y)^4, what is the term containing x^2y^2?
A.
6x^2y^2
B.
4x^2y^2
C.
8x^2y^2
D.
12x^2y^2
Show solution
Solution
The term containing x^2y^2 in the expansion of (x + y)^4 is given by 4C2 * x^2 * y^2 = 6x^2y^2.
Correct Answer: A — 6x^2y^2
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Q. If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in the expansion?
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Solution
The number of terms in the expansion of (a + b)^n is n + 1, so for n = 7, there will be 8 terms.
Correct Answer: C — 8
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Q. If the Binomial Theorem is used to expand (x + 1/x)^6, what is the term containing x^0?
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Solution
The term containing x^0 occurs when k = 3, which gives 6C3 * 1^3 * (1/x)^3 = 20.
Correct Answer: B — 20
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Q. If the capacitance in an AC circuit is increased, what happens to the capacitive reactance? (2023)
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
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Solution
Capacitive reactance XC = 1/(ωC). If capacitance C increases, XC decreases.
Correct Answer: B — It decreases
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Q. If the capacitance of a capacitor is doubled while keeping the charge constant, what happens to the potential difference across it? (2020)
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
Show solution
Solution
Capacitance C is defined as C = Q/V. If C is doubled and Q remains constant, then V must halve to maintain the equation.
Correct Answer: B — It halves
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Q. If the capacitance of a parallel plate capacitor is C, what will be the capacitance if the distance between the plates is doubled? (2020)
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Solution
The capacitance C of a parallel plate capacitor is given by C = εA/d. If the distance d is doubled, the new capacitance will be C/2.
Correct Answer: A — C/2
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Q. If the center of a circle is at (0, 0) and it passes through the point (3, 4), what is the equation of the circle?
A.
x² + y² = 25
B.
x² + y² = 12
C.
x² + y² = 7
D.
x² + y² = 16
Show solution
Solution
The radius is 5 (distance from (0,0) to (3,4)), so the equation is x² + y² = 5² = 25.
Correct Answer: A — x² + y² = 25
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Q. If the center of a circle is at (0, 0) and it passes through the point (3, 4), what is the radius of the circle?
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Solution
The radius is the distance from the center to the point, which is √(3² + 4²) = √25 = 5.
Correct Answer: A — 5
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Q. If the chance of contracting a disease is 1 in 500, what is the percentage chance of not contracting the disease? (2023)
A.
99.8%
B.
99.9%
C.
98.5%
D.
97.5%
Show solution
Solution
The chance of not contracting the disease = 1 - (1/500) = 499/500 = 0.998 = 99.8%.
Correct Answer: B — 99.9%
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