Q. What is the primary role of chloroplasts in plant cells?
A.
Energy production
B.
Photosynthesis
C.
Cell division
D.
Respiration
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Solution
Chloroplasts are the organelles in plant cells where photosynthesis occurs, converting light energy into chemical energy.
Correct Answer:
B
— Photosynthesis
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Q. What is the primary role of red blood cells?
A.
To fight infections
B.
To transport oxygen
C.
To clot blood
D.
To produce hormones
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Solution
Red blood cells are primarily responsible for transporting oxygen from the lungs to the body's tissues.
Correct Answer:
B
— To transport oxygen
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Q. What is the primary role of xylem in plants? (2022)
A.
Transport of nutrients
B.
Transport of water
C.
Photosynthesis
D.
Storage of food
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Solution
Xylem is responsible for the transport of water and dissolved minerals from the roots to the rest of the plant.
Correct Answer:
B
— Transport of water
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Q. What is the primary source of energy for the Earth's climate system?
A.
The Moon
B.
The Sun
C.
Geothermal energy
D.
Nuclear energy
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Solution
The primary source of energy for the Earth's climate system is the Sun.
Correct Answer:
B
— The Sun
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Q. What is the primary source of energy in a balanced diet?
A.
Proteins
B.
Carbohydrates
C.
Fats
D.
Vitamins
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Solution
Carbohydrates are the primary source of energy in a balanced diet, providing 4 calories per gram.
Correct Answer:
B
— Carbohydrates
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Q. What is the primary state of matter in the Earth's outer core? (2019)
A.
Solid
B.
Liquid
C.
Gas
D.
Plasma
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Solution
The outer core is in a liquid state, composed mainly of molten iron and nickel.
Correct Answer:
B
— Liquid
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Q. What is the primary state of matter that has a definite shape and volume?
A.
Gas
B.
Liquid
C.
Solid
D.
Plasma
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Solution
Solids have a definite shape and volume due to closely packed particles.
Correct Answer:
C
— Solid
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Q. What is the primary use of aluminum in construction?
A.
Electrical wiring
B.
Structural components
C.
Piping
D.
Insulation
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Solution
Aluminum is widely used in structural components due to its strength-to-weight ratio.
Correct Answer:
B
— Structural components
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Q. What is the probability of a person being diagnosed with a disease if the prevalence of the disease in a population is 2% and the test for the disease has a sensitivity of 90% and a specificity of 95%? (2021)
A.
0.018
B.
0.020
C.
0.090
D.
0.095
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Solution
Using Bayes' theorem, P(Disease|Positive) = (P(Positive|Disease) * P(Disease)) / P(Positive). Here, P(Positive) = P(Positive|Disease) * P(Disease) + P(Positive|No Disease) * P(No Disease). Calculating gives approximately 0.018.
Correct Answer:
A
— 0.018
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Q. What is the probability of a person being infected with a disease if the prevalence of the disease in a population is 2%? (2021)
A.
0.02
B.
0.5
C.
0.1
D.
0.03
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Solution
The prevalence of the disease is given as 2%, which can be expressed as a probability of 0.02.
Correct Answer:
A
— 0.02
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Q. What is the probability of drawing a heart from a standard deck of cards? (2022)
A.
1/4
B.
1/13
C.
1/52
D.
3/52
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Solution
There are 13 hearts in a deck of 52 cards. Probability = 13/52 = 1/4.
Correct Answer:
A
— 1/4
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Q. What is the probability of rolling a sum of 7 with two six-sided dice? (2022)
A.
1/6
B.
1/12
C.
1/36
D.
5/36
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Solution
The combinations to get a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 ways. Total outcomes = 36. Probability = 6/36 = 1/6.
Correct Answer:
D
— 5/36
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Q. What is the process by which plants lose water vapor called? (2019)
A.
Transpiration
B.
Evaporation
C.
Condensation
D.
Photosynthesis
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Solution
Transpiration is the process where water vapor is lost from the plant, primarily through stomata in the leaves.
Correct Answer:
A
— Transpiration
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Q. What is the process by which plants lose water vapor through small openings in their leaves called? (2019)
A.
Transpiration
B.
Evaporation
C.
Condensation
D.
Photosynthesis
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Solution
Transpiration is the process of water vapor loss from plant leaves, which helps in nutrient transport and temperature regulation.
Correct Answer:
A
— Transpiration
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Q. What is the process by which plants lose water vapor to the atmosphere?
A.
Transpiration
B.
Evaporation
C.
Condensation
D.
Precipitation
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Solution
Transpiration is the process through which water vapor is lost from the plant to the atmosphere, primarily through stomata.
Correct Answer:
A
— Transpiration
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Q. What is the product of the first five prime numbers? (2023)
A.
30
B.
60
C.
210
D.
120
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Solution
The first five prime numbers are 2, 3, 5, 7, and 11. Their product is 2 × 3 × 5 × 7 × 11 = 2310.
Correct Answer:
C
— 210
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Q. What is the product of the reaction between hydrochloric acid (HCl) and sodium hydroxide (NaOH)? (2022)
A.
Sodium chloride and water
B.
Sodium chloride and hydrogen
C.
Hydrogen and oxygen
D.
Sodium and water
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Solution
The reaction between HCl and NaOH produces sodium chloride (NaCl) and water (H2O).
Correct Answer:
A
— Sodium chloride and water
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Q. What is the product of the reaction between hydrochloric acid and sodium bicarbonate? (2022)
A.
Sodium chloride
B.
Carbon dioxide
C.
Water
D.
All of the above
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Solution
The reaction produces sodium chloride, carbon dioxide, and water: HCl + NaHCO3 → NaCl + CO2 + H2O.
Correct Answer:
D
— All of the above
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Q. What is the product of the reaction between sodium (Na) and chlorine (Cl2)? (2019)
A.
NaCl
B.
NaCl2
C.
Na2Cl
D.
Na2Cl2
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Solution
Sodium reacts with chlorine to form sodium chloride (NaCl).
Correct Answer:
A
— NaCl
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Q. What is the product of the roots of the equation 2x^2 - 8x + 6 = 0?
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Solution
The product of the roots of the equation ax^2 + bx + c = 0 is given by c/a. Here, c = 6 and a = 2, so the product is 6/2 = 3.
Correct Answer:
A
— 3
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Q. What is the product of the roots of the equation x² - 4x + 3 = 0? (2021)
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Solution
The product of the roots is given by c/a = 3/1 = 3.
Correct Answer:
A
— 3
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Q. What is the product of the roots of the equation x² - 7x + 10 = 0? (2023)
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Solution
The product of the roots is given by c/a = 10/1 = 10.
Correct Answer:
A
— 10
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Q. What is the product of the roots of the quadratic equation 3x^2 - 12x + 9 = 0? (2023)
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Solution
The product of the roots is given by c/a = 9/3 = 3.
Correct Answer:
A
— 1
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Q. What is the product of the roots of the quadratic equation x^2 - 7x + 10 = 0? (2023)
Show solution
Solution
Using Vieta's formulas, the product of the roots is c/a = 10/1 = 10.
Correct Answer:
A
— 10
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Q. What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (2019)
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Solution
The product of the roots of ax² + bx + c = 0 is c/a. Here, product = 6/1 = 6.
Correct Answer:
A
— 6
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Q. What is the projected economic growth rate for India in 2024 according to the IMF? (2024)
A.
5.5%
B.
6.0%
C.
6.5%
D.
7.0%
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Solution
The IMF projects India's economic growth rate to be around 6.5% for the year 2024.
Correct Answer:
C
— 6.5%
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Q. What is the projected fiscal deficit of India for the year 2023? (2023)
A.
4.5%
B.
5.0%
C.
5.5%
D.
6.0%
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Solution
The projected fiscal deficit of India for the year 2023 is around 5.5%.
Correct Answer:
C
— 5.5%
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Q. What is the projected population of India by the end of 2023? (2023)
A.
1.4 billion
B.
1.5 billion
C.
1.6 billion
D.
1.3 billion
Show solution
Solution
The projected population of India by the end of 2023 is approximately 1.4 billion.
Correct Answer:
A
— 1.4 billion
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Q. What is the projection of vector A = 3i + 4j onto vector B = 1i + 2j?
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Solution
Projection = (A · B / |B|^2) * B = (11 / 5) * (1i + 2j) = 2.5.
Correct Answer:
A
— 2.5
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Q. What is the projection of vector A = 3i + 4j onto vector B = 2i + 0j?
Show solution
Solution
Projection of A onto B = (A · B / |B|^2)B. A · B = 6, |B|^2 = 4. Projection = (6/4)(2i) = 3i.
Correct Answer:
A
— 6
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