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
Show solution
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
Show solution
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 double 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 double, sold 800 units.
Correct Answer:
A
— 800
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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
Show solution
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 bar graph shows the distribution of expenses across different departments, which department had the highest expense?
A.
Marketing
B.
Research
C.
Production
D.
Sales
Show solution
Solution
The bar graph indicates that Production had the highest expense among the departments.
Correct Answer:
C
— Production
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Q. If the bar graph shows the number of students enrolled in various courses, which course had the highest enrollment?
A.
Mathematics
B.
Science
C.
Literature
D.
Art
Show solution
Solution
The bar graph indicates that Science had the highest enrollment among the courses.
Correct Answer:
B
— Science
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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 base of a triangle is 10 cm and the height is 5 cm, what is the area of the triangle? (2022)
A.
25 cm²
B.
50 cm²
C.
15 cm²
D.
30 cm²
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Solution
Area = (1/2) * base * height = (1/2) * 10 * 5 = 25 cm².
Correct Answer:
A
— 25 cm²
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Q. If the base-2 number 1101 is converted to base-10, what is the result?
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Solution
To convert from base-2 to decimal, calculate 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 8 + 4 + 0 + 1 = 13.
Correct Answer:
A
— 13
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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)^3, what is the coefficient of x^2?
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Solution
The coefficient of x^2 in the expansion of (x + 2)^3 is given by C(3, 2) * 2^1 = 3 * 2 = 6.
Correct Answer:
C
— 12
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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
Show solution
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 (3x - 2)^4, what is the constant term?
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Solution
The constant term occurs when x^0, which is the term with k = 4: C(4, 4)(-2)^4 = 16, thus the constant term is -16.
Correct Answer:
B
— -81
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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 boiling point of water is 100°C, what is the corresponding temperature in Kelvin? (2021)
A.
273 K
B.
373 K
C.
400 K
D.
450 K
Show solution
Solution
Temperature in Kelvin (K) = °C + 273 = 100 + 273 = 373 K.
Correct Answer:
B
— 373 K
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Q. If the budget deficit of a country is $50 billion and the total budget is $500 billion, what percentage of the budget is the deficit?
A.
5%
B.
10%
C.
15%
D.
20%
Show solution
Solution
Percentage of deficit = (50 / 500) * 100 = 10%.
Correct Answer:
B
— 10%
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Q. If the budget deficit of a government is $50 billion and it plans to reduce it by 20% next year, what will be the new budget deficit?
A.
$40 billion
B.
$45 billion
C.
$50 billion
D.
$60 billion
Show solution
Solution
New budget deficit = 50 billion * (1 - 0.20) = 50 billion * 0.80 = $40 billion.
Correct Answer:
A
— $40 billion
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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
Show solution
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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