Q. What is the sum of the roots of the equation 2x² - 4x + 1 = 0? (2023)
Solution
The sum of the roots is given by -b/a = 4/2 = 2.
Correct Answer:
A
— 2
Learn More →
Q. What is the sum of the roots of the equation 3x^2 - 12x + 9 = 0?
Solution
Using Vieta's formulas, the sum of the roots is -(-12)/3 = 4.
Correct Answer:
B
— 4
Learn More →
Q. What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
Solution
The sum of the roots is given by -b/a = -12/3 = -4.
Correct Answer:
A
— -4
Learn More →
Q. What is the sum of the roots of the equation f(x) = x^2 - 5x + 6?
Solution
The sum of the roots of ax^2 + bx + c = 0 is -b/a. Here, sum = 5.
Correct Answer:
A
— 5
Learn More →
Q. What is the sum of the roots of the equation x^2 - 4x + 3 = 0?
Solution
The sum of the roots is given by -b/a = 4/1 = 4.
Correct Answer:
D
— 4
Learn More →
Q. What is the sum of the roots of the equation x² - 5x + 6 = 0? (2022)
Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer:
A
— 5
Learn More →
Q. What is the sum of the roots of the quadratic equation 2x^2 - 3x + 1 = 0?
Solution
The sum of the roots is given by -b/a = 3/2.
Correct Answer:
B
— 3/2
Learn More →
Q. What is the sum of the roots of the quadratic equation 2x^2 - 4x + 1 = 0?
Solution
The sum of the roots of a quadratic equation ax^2 + bx + c = 0 is given by -b/a. Here, it is -(-4)/2 = 2.
Correct Answer:
A
— 2
Learn More →
Q. What is the sum of the roots of the quadratic equation 2x^2 - 8x + 6 = 0?
Solution
The sum of the roots is given by -b/a = 8/2 = 4.
Correct Answer:
B
— 4
Learn More →
Q. What is the sum of the roots of the quadratic equation f(x) = x^2 - 5x + 6?
Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer:
A
— 5
Learn More →
Q. What is the sum of the roots of the quadratic equation x^2 - 4x + 3 = 0?
Solution
The sum of the roots is given by -b/a = 4/1 = 4.
Correct Answer:
D
— 4
Learn More →
Q. What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?
Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer:
A
— 5
Learn More →
Q. What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?
Solution
The sum of the roots is given by -b/a = 7/1 = 7.
Correct Answer:
C
— 7
Learn More →
Q. What is the sum of the squares of the roots of the equation x^2 - 5x + 6 = 0?
Solution
The sum of the squares of the roots is given by (sum of roots)^2 - 2(product of roots). Here, sum = 5, product = 6. So, 5^2 - 2*6 = 25 - 12 = 13.
Correct Answer:
B
— 19
Learn More →
Q. What is the summary of the article on renewable energy sources?
-
A.
Renewable energy sources are expensive and inefficient.
-
B.
The transition to renewable energy is essential for sustainability.
-
C.
Fossil fuels are still the best energy option.
-
D.
Renewable energy sources are only beneficial in developed countries.
Solution
The article emphasizes the importance of transitioning to renewable energy for sustainable development, making this the main summary.
Correct Answer:
B
— The transition to renewable energy is essential for sustainability.
Learn More →
Q. What is the summary of the article on the benefits of a plant-based diet? (2023)
-
A.
Plant-based diets are expensive and hard to maintain.
-
B.
Plant-based diets can lead to better health and environmental sustainability.
-
C.
Plant-based diets are only beneficial for weight loss.
-
D.
Plant-based diets are not suitable for athletes.
Solution
The article outlines various health benefits and environmental advantages of adopting a plant-based diet, summarizing its positive impact.
Correct Answer:
B
— Plant-based diets can lead to better health and environmental sustainability.
Learn More →
Q. What is the supreme law of the land in India? (2020)
-
A.
The Constitution of India
-
B.
The Indian Penal Code
-
C.
The Directive Principles of State Policy
-
D.
The Fundamental Rights
Solution
The Constitution of India is the supreme law of the land, providing the framework for political principles, procedures, and powers.
Correct Answer:
A
— The Constitution of India
Learn More →
Q. What is the surface area of a cube with a side length of 5 cm? (2021)
-
A.
50 cm²
-
B.
75 cm²
-
C.
100 cm²
-
D.
125 cm²
Solution
Surface area = 6 * (side)² = 6 * (5)² = 6 * 25 = 150 cm².
Correct Answer:
C
— 100 cm²
Learn More →
Q. What is the surface area of a cylinder with radius 3 cm and height 5 cm?
-
A.
54π cm²
-
B.
30π cm²
-
C.
36π cm²
-
D.
18π cm²
Solution
Surface Area = 2πr(h + r) = 2π × 3 cm × (5 cm + 3 cm) = 54π cm².
Correct Answer:
A
— 54π cm²
Learn More →
Q. What is the surface area of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?
-
A.
22 cm²
-
B.
24 cm²
-
C.
26 cm²
-
D.
28 cm²
Solution
Surface Area = 2(lw + lh + wh) = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 52 cm²
Correct Answer:
B
— 24 cm²
Learn More →
Q. What is the symbol for Gold?
Solution
The symbol for Gold is Au.
Correct Answer:
A
— Au
Learn More →
Q. What is the synonym of 'abundant'?
-
A.
scarce
-
B.
plentiful
-
C.
meager
-
D.
insufficient
Solution
'Abundant' means plentiful or existing in large quantities. Therefore, the synonym is 'plentiful'.
Correct Answer:
B
— plentiful
Learn More →
Q. What is the synonym of 'Benevolent'?
-
A.
Malevolent
-
B.
Kind
-
C.
Cruel
-
D.
Selfish
Solution
'Kind' is synonymous with 'Benevolent', which means well-meaning and kindly.
Correct Answer:
B
— Kind
Learn More →
Q. What is the synonym of 'brave'? (2020)
-
A.
Cowardly
-
B.
Fearful
-
C.
Courageous
-
D.
Timid
Solution
'Courageous' is a synonym of 'brave', both describing someone who shows courage.
Correct Answer:
C
— Courageous
Learn More →
Q. What is the synonym of 'calm'?
-
A.
Agitated
-
B.
Tranquil
-
C.
Nervous
-
D.
Excited
Solution
'Tranquil' is a synonym of 'calm'.
Correct Answer:
B
— Tranquil
Learn More →
Q. What is the synonym of 'candid'?
-
A.
deceitful
-
B.
honest
-
C.
reserved
-
D.
secretive
Solution
'Candid' means truthful and straightforward; frank.
Correct Answer:
B
— honest
Learn More →
Q. What is the synonym of 'difficult'? (2023)
-
A.
Simple
-
B.
Challenging
-
C.
Easy
-
D.
Clear
Solution
'Challenging' is a synonym of 'difficult', as both imply something that requires effort to overcome.
Correct Answer:
B
— Challenging
Learn More →
Q. What is the synonym of 'elated'?
-
A.
depressed
-
B.
joyful
-
C.
angry
-
D.
anxious
Solution
'Elated' means in high spirits; extremely happy and excited.
Correct Answer:
B
— joyful
Learn More →
Q. What is the synonym of 'fast'?
-
A.
Quick
-
B.
Slow
-
C.
Leisurely
-
D.
Lethargic
Solution
'Quick' is a synonym of 'fast'.
Correct Answer:
A
— Quick
Learn More →
Q. What is the synonym of 'Fragile'?
-
A.
Sturdy
-
B.
Weak
-
C.
Robust
-
D.
Durable
Solution
'Weak' is synonymous with 'Fragile', indicating something that is easily broken.
Correct Answer:
B
— Weak
Learn More →
Showing 21421 to 21450 of 28266 (943 Pages)
