Q. In 2023, which country became the first to achieve 100% renewable energy? (2023)
A.
Germany
B.
Denmark
C.
Costa Rica
D.
Iceland
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Solution
Costa Rica became the first country to achieve 100% renewable energy in 2023.
Correct Answer: C — Costa Rica
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Q. In 2023, which country hosted the G20 summit? (2023)
A.
India
B.
Italy
C.
Indonesia
D.
Germany
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Solution
India hosted the G20 summit in 2023, focusing on global economic recovery.
Correct Answer: A — India
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Q. In 2023, which country was the largest producer of solar energy? (2023)
A.
USA
B.
Germany
C.
China
D.
India
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Solution
China remains the largest producer of solar energy in 2023.
Correct Answer: C — China
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Q. In 2023, which technology was highlighted as a major advancement in renewable energy? (2023)
A.
Hydrogen Fuel Cells
B.
Nuclear Fusion
C.
Solar Panels
D.
Wind Turbines
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Solution
Hydrogen Fuel Cells were highlighted as a major advancement in renewable energy in 2023.
Correct Answer: A — Hydrogen Fuel Cells
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Q. In a bag containing 3 red, 2 blue, and 5 green balls, what is the probability of drawing a blue ball?
A.
1/5
B.
1/4
C.
1/10
D.
1/2
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Solution
Total balls = 3 + 2 + 5 = 10. Probability of drawing a blue ball = Number of blue balls / Total balls = 2/10 = 1/5.
Correct Answer: B — 1/4
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Q. In a bag of 10 balls, 4 are red and 6 are blue. What is the probability of picking a red ball?
A.
2/5
B.
4/10
C.
3/5
D.
1/2
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Solution
Probability = Number of red balls / Total balls = 4/10 = 2/5.
Correct Answer: B — 4/10
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Q. In a balanced Wheatstone bridge, if R1 = 10Ω, R2 = 15Ω, and R3 = 5Ω, what is the value of R4?
A.
7.5Ω
B.
10Ω
C.
15Ω
D.
20Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (15 * 5) / 10 = 7.5Ω.
Correct Answer: A — 7.5Ω
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Q. In a balanced Wheatstone bridge, if R1 = 10Ω, R2 = 5Ω, and R3 = 15Ω, what is the value of R4?
A.
7.5Ω
B.
10Ω
C.
12.5Ω
D.
20Ω
Show solution
Solution
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (5 * 15) / 10 = 7.5Ω.
Correct Answer: C — 12.5Ω
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Q. In a balanced Wheatstone bridge, the potential difference across the galvanometer is:
A.
Equal to the supply voltage.
B.
Zero.
C.
Equal to the resistance of the galvanometer.
D.
Equal to the potential difference across R1.
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Solution
In a balanced Wheatstone bridge, the potential difference across the galvanometer is zero.
Correct Answer: B — Zero.
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Q. In a balanced Wheatstone bridge, what is the potential difference across the galvanometer?
A.
Equal to the supply voltage
B.
Zero
C.
Equal to the resistance
D.
Depends on the resistances
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Solution
In a balanced Wheatstone bridge, the potential difference across the galvanometer is zero.
Correct Answer: B — Zero
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Q. In a balanced Wheatstone bridge, what is the relationship between the resistances R1, R2, R3, and R4?
A.
R1/R2 = R3/R4
B.
R1 + R2 = R3 + R4
C.
R1 * R4 = R2 * R3
D.
R1 - R2 = R3 - R4
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Solution
In a balanced Wheatstone bridge, the ratio of the resistances in one arm equals the ratio in the other arm, hence R1/R2 = R3/R4.
Correct Answer: A — R1/R2 = R3/R4
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Q. In a bar graph representing the number of books read by students in a month, if Student A read 15 books, Student B read 10 books, Student C read 20 books, and Student D read 5 books, who read the most books? (2023)
A.
Student A
B.
Student B
C.
Student C
D.
Student D
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Solution
Student C read the most books with a total of 20.
Correct Answer: C — Student C
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Q. In a bar graph, if the height of the bar for product X is twice that of product Y, and product Y's bar is 5 cm tall, how tall is product X's bar? (2023)
A.
5 cm
B.
10 cm
C.
15 cm
D.
20 cm
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Solution
If product Y is 5 cm, then product X, being twice that, is 10 cm.
Correct Answer: B — 10 cm
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Q. In a base 3 system, what is the representation of the decimal number 5? (2023)
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Solution
In base 3, the decimal number 5 is represented as '12' (1*3^1 + 2*3^0 = 3 + 2 = 5).
Correct Answer: B — 21
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Q. In a base 6 number system, what is the decimal equivalent of the number '54'?
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Solution
'54' in base 6 = 5*6^1 + 4*6^0 = 30 + 4 = 34.
Correct Answer: C — 34
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Q. In a base-3 number system, what is the product of '10' and '11'?
A.
100
B.
110
C.
101
D.
111
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Solution
'10' in base 3 is 3 and '11' is 4. Their product is 12, which is '110' in base 3.
Correct Answer: A — 100
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Q. In a base-4 number system, what is the decimal equivalent of the number '132'?
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Solution
'132' in base 4 is calculated as 1*4^2 + 3*4^1 + 2*4^0 = 16 + 12 + 2 = 30.
Correct Answer: B — 12
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Q. In a base-4 system, what is the sum of the numbers '12' and '21'?
A.
33
B.
33 in base-4
C.
33 in base-10
D.
30 in base-4
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Solution
The sum of '12' and '21' in base-4 is '30' in base-4.
Correct Answer: D — 30 in base-4
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Q. In a base-5 number system, what is the sum of '34' and '21'?
A.
100
B.
110
C.
120
D.
130
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Solution
In base-5, '34' is 3*5 + 4 = 19 and '21' is 2*5 + 1 = 11. Their sum is 30, which is '100' in base-5.
Correct Answer: A — 100
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Q. In a base-5 numeral system, what is the decimal equivalent of the number 243?
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Solution
The base-5 number 243 converts to decimal as 2*5^2 + 4*5^1 + 3*5^0 = 50 + 20 + 3 = 73.
Correct Answer: B — 61
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Q. In a base-5 numeral system, what is the representation of the decimal number 10?
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Solution
In base-5, the decimal number 10 is represented as 20.
Correct Answer: A — 20
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Q. In a base-5 numeral system, which of the following digits is not valid?
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Solution
In a base-5 numeral system, valid digits are 0, 1, 2, 3, and 4; thus, 5 is not valid.
Correct Answer: D — 5
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Q. In a base-6 number system, what is the product of '12' and '3'?
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Solution
'12' in base-6 is 1*6 + 2 = 8. '3' is 3. Their product is 8*3 = 24, which is '42' in base-6.
Correct Answer: C — 42
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Q. In a basketball game, a player scores 15 points in the first half and 20 points in the second half. What is the player's average score per half? (2020)
A.
15
B.
17.5
C.
20
D.
18
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Solution
Total points scored = 15 + 20 = 35. Average score per half = 35 / 2 = 17.5.
Correct Answer: B — 17.5
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Q. In a basketball tournament, if Team X scores 80 points and Team Y scores 75 points, which statement is true?
A.
Team Y played better than Team X.
B.
Team X won the game.
C.
The game ended in a tie.
D.
Team Y had a higher average score.
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Solution
Since Team X scored more points than Team Y, Team X won the game.
Correct Answer: B — Team X won the game.
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Q. In a binary solution of A and B, if component A has a higher vapor pressure than component B, what can be inferred about the solution?
A.
It will show positive deviation from Raoult's Law.
B.
It will show negative deviation from Raoult's Law.
C.
It will have a lower boiling point than pure A.
D.
It will have a higher boiling point than pure B.
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Solution
If component A has a higher vapor pressure than component B, the solution will show positive deviation from Raoult's Law.
Correct Answer: A — It will show positive deviation from Raoult's Law.
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Q. In a binary solution of A and B, if the mole fraction of A is 0.6, what is the mole fraction of B?
A.
0.4
B.
0.6
C.
1.0
D.
0.2
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Solution
The mole fraction of B can be calculated as 1 - mole fraction of A = 1 - 0.6 = 0.4.
Correct Answer: A — 0.4
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Q. In a binary solution of A and B, if the vapor pressure of A is 80 mmHg and that of B is 40 mmHg, what is the total vapor pressure when both are present?
A.
40 mmHg
B.
80 mmHg
C.
120 mmHg
D.
100 mmHg
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Solution
The total vapor pressure is the sum of the partial pressures: P_total = P_A + P_B = 80 mmHg + 40 mmHg = 120 mmHg.
Correct Answer: D — 100 mmHg
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Q. In a binary solution of A and B, if the vapor pressure of A is 80 mmHg and that of B is 40 mmHg, what is the total vapor pressure of the solution if the mole fraction of A is 0.75?
A.
60 mmHg
B.
70 mmHg
C.
80 mmHg
D.
90 mmHg
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Solution
Total vapor pressure = P_A + P_B = (0.75 * 80) + (0.25 * 40) = 60 + 10 = 70 mmHg.
Correct Answer: D — 90 mmHg
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Q. In a binary solution of A and B, if the vapor pressure of pure A is 150 mmHg and pure B is 50 mmHg, what is the total vapor pressure when the mole fraction of A is 0.4?
A.
90 mmHg
B.
120 mmHg
C.
150 mmHg
D.
100 mmHg
Show solution
Solution
Total vapor pressure = (X_A * P_A^0) + (X_B * P_B^0) = (0.4 * 150) + (0.6 * 50) = 60 + 30 = 90 mmHg.
Correct Answer: B — 120 mmHg
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