Q. If the average of five numbers is 20, what is their total sum? (2023)
A.
80
B.
100
C.
120
D.
140
Show solution
Solution
Average = Total Sum / Number of Items. Therefore, Total Sum = Average × Number of Items = 20 × 5 = 100.
Correct Answer:
A
— 80
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Q. If the average of five numbers is 30, what is the sum of those numbers? (2023)
A.
120
B.
150
C.
180
D.
200
Show solution
Solution
Sum of the numbers = Average × Number of items = 30 × 5 = 150.
Correct Answer:
A
— 120
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Q. If the average of five numbers is 60, what is the total of these numbers?
A.
300
B.
250
C.
350
D.
400
Show solution
Solution
The total of the five numbers is calculated as average * number of items = 60 * 5 = 300.
Correct Answer:
A
— 300
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Q. If the average of three consecutive integers is x, what is the value of x? (2023)
A.
x-1
B.
x
C.
x+1
D.
x+2
Show solution
Solution
Let the integers be (x-1), x, and (x+1). Their average is (x-1 + x + x+1) / 3 = x.
Correct Answer:
B
— x
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Q. If the average of three numbers is 20 and one of the numbers is 30, what is the average of the other two numbers?
Show solution
Solution
Total of three numbers = 3 * 20 = 60. Sum of the other two numbers = 60 - 30 = 30. Average of the other two = 30 / 2 = 15.
Correct Answer:
D
— 25
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Q. If the average of two numbers is 30 and one of the numbers is 20, what is the other number?
Show solution
Solution
Let the two numbers be a and b. (a + b) / 2 = 30. If a = 20, then 20 + b = 60, hence b = 40.
Correct Answer:
D
— 40
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Q. If the average of two numbers is 40 and one of the numbers is 30, what is the other number? (2023)
Show solution
Solution
Let the other number be x. The average is (30 + x) / 2 = 40. Solving gives x = 50.
Correct Answer:
B
— 60
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Q. If the average velocity of a river increases from 2 m/s to 4 m/s, how does the discharge change if the width remains constant?
A.
Doubles
B.
Halves
C.
Remains the same
D.
Increases by 50%
Show solution
Solution
Discharge is directly proportional to velocity. If velocity doubles, discharge also doubles.
Correct Answer:
A
— Doubles
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Q. If the azimuthal quantum number l = 1, what is the shape of the orbital?
A.
Spherical
B.
Dumbbell
C.
Double dumbbell
D.
None of the above
Show solution
Solution
The azimuthal quantum number l = 1 corresponds to p orbitals, which have a dumbbell shape.
Correct Answer:
B
— Dumbbell
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Q. If the balance length of a potentiometer is 50cm for a cell of unknown emf, and the potential gradient is 4 V/m, what is the emf of the cell?
Show solution
Solution
The emf is calculated as V = potential gradient × length = 4 V/m × 0.5 m = 2 V.
Correct Answer:
B
— 4V
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Q. If the balancing length of a potentiometer is found to be 40 cm for a cell of emf 2V, what is the potential gradient if the total length of the wire is 100 cm?
A.
5 V/m
B.
2 V/m
C.
4 V/m
D.
3 V/m
Show solution
Solution
The potential gradient is V/L = 2V/0.4m = 5 V/m.
Correct Answer:
A
— 5 V/m
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Q. If the bar graph illustrates the number of books sold by genre, which genre had the least sales?
A.
Fiction
B.
Non-Fiction
C.
Science
D.
History
Show solution
Solution
The bar graph shows that History had the least sales among the listed genres.
Correct Answer:
D
— History
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Q. If the bar graph illustrates the number of books sold by genre, which genre saw the least sales?
A.
Fiction
B.
Non-Fiction
C.
Science
D.
History
Show solution
Solution
The bar graph shows that History had the least sales compared to the other genres.
Correct Answer:
D
— History
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Q. If the bar graph indicates a 20% increase in orange sales from 2021 to 2022, what was the percentage of orange sales in 2021 if it was 1200 units in 2022? (2021)
A.
1000
B.
800
C.
600
D.
1200
Show solution
Solution
If orange sales increased by 20%, then 1200 units is 120% of the 2021 sales, which means 2021 sales were 1000 units.
Correct Answer:
A
— 1000
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Q. If the bar graph indicates a 20% increase in the sales of oranges 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
Show solution
Solution
A 20% increase indicates a positive trend in sales for oranges.
Correct Answer:
C
— Sales are increasing
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Q. If the bar graph indicates a drop in sales for a specific product, what could be a possible reason?
A.
Increased competition
B.
Higher demand
C.
Improved marketing
D.
Seasonal trends
Show solution
Solution
A drop in sales could be attributed to increased competition in the market.
Correct Answer:
A
— Increased competition
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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.
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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 bananas increased by 50% from 2021 to 2022, and the sales in 2021 were 600 units, what were the sales in 2022? (2021)
A.
900
B.
800
C.
700
D.
600
Show solution
Solution
A 50% increase on 600 units results in 300 additional units, making the total 900 units in 2022.
Correct Answer:
A
— 900
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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
Show solution
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
Show solution
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.
Show solution
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
Show solution
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
Show solution
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
Show solution
Solution
If cherries sold 400 units, then grapes, being double, sold 800 units.
Correct Answer:
A
— 800
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