Q. What is the product of the roots of the equation x² - 7x + 10 = 0? (2023)
Solution
The product of the roots is given by c/a = 10/1 = 10.
Correct Answer:
A
— 10
Learn More →
Q. What is the product of the roots of the equation x² - 8x + 15 = 0? (2022)
Solution
The product of the roots is given by c/a = 15/1 = 15.
Correct Answer:
A
— 15
Learn More →
Q. What is the product of the roots of the polynomial P(x) = x^2 - 7x + 10?
Solution
The product of the roots of a quadratic polynomial ax^2 + bx + c is given by c/a, which is 10/1 = 10.
Correct Answer:
A
— 10
Learn More →
Q. What is the product of the roots of the quadratic equation 2x² + 3x - 5 = 0?
-
A.
-2.5
-
B.
2.5
-
C.
-1.5
-
D.
1.5
Solution
The product of the roots is given by c/a. Here, -5/2 = -2.5.
Correct Answer:
A
— -2.5
Learn More →
Q. What is the product of the roots of the quadratic equation 3x^2 - 12x + 9 = 0? (2023)
Solution
The product of the roots is given by c/a = 9/3 = 3.
Correct Answer:
A
— 1
Learn More →
Q. What is the product of the roots of the quadratic equation x^2 - 7x + 10 = 0? (2023)
Solution
Using Vieta's formulas, the product of the roots is c/a = 10/1 = 10.
Correct Answer:
A
— 10
Learn More →
Q. What is the product of the roots of the quadratic equation x² - 5x + 6 = 0? (2019)
Solution
The product of the roots of ax² + bx + c = 0 is c/a. Here, product = 6/1 = 6.
Correct Answer:
A
— 6
Learn More →
Q. What is the product when propan-2-one reacts with iodine in the presence of a base?
-
A.
Iodoform
-
B.
Bromoform
-
C.
Chloroform
-
D.
No reaction
Solution
Propan-2-one reacts with iodine in the presence of a base to form iodoform (CHI3).
Correct Answer:
A
— Iodoform
Learn More →
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%
Solution
The IMF projects India's economic growth rate to be around 6.5% for the year 2024.
Correct Answer:
C
— 6.5%
Learn More →
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%
Solution
The projected fiscal deficit of India for the year 2023 is around 5.5%.
Correct Answer:
C
— 5.5%
Learn More →
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
Solution
The projected population of India by the end of 2023 is approximately 1.4 billion.
Correct Answer:
A
— 1.4 billion
Learn More →
Q. What is the projection of vector a = (3, 4) onto vector b = (1, 0)?
Solution
Projection = (a · b / |b|^2) * b = (3*1 + 4*0) / 1^2 * (1, 0) = 3 * (1, 0) = (3, 0).
Correct Answer:
A
— 3
Learn More →
Q. What is the projection of vector A = (3, 4) onto vector B = (1, 2)?
Solution
Projection = (A . B / |B|^2) * B = (3*1 + 4*2) / (1^2 + 2^2) * (1, 2) = 11/5 * (1, 2) = (2.2, 4.4).
Correct Answer:
B
— 3
Learn More →
Q. What is the projection of vector A = 3i + 4j onto vector B = 1i + 2j?
Solution
Projection = (A · B / |B|^2) * B = (11 / 5) * (1i + 2j) = 2.5.
Correct Answer:
A
— 2.5
Learn More →
Q. What is the projection of vector A = 3i + 4j onto vector B = 2i + 0j?
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
Learn More →
Q. What is the projection of vector A = 3i + 4j onto vector B = 2i + 2j?
Solution
Projection = (A · B / |B|^2) * B = (14 / 8) * (2i + 2j) = (7/4)(2i + 2j) = 3.5i + 3.5j.
Correct Answer:
A
— 5
Learn More →
Q. What is the projection of vector A = 3i + 4j onto vector B = i + j? (2020)
Solution
proj_B(A) = (A · B / |B|^2)B = ((3*1 + 4*1) / (1^2 + 1^2))(i + j) = (7/2)(i + j) = 3.5.
Correct Answer:
C
— 5
Learn More →
Q. What is the projection of vector A = 6i + 8j onto vector B = 2i + 2j?
Solution
Projection of A onto B = (A · B / |B|^2) * B = ((6*2 + 8*2) / (2^2 + 2^2)) * (2i + 2j) = (28/8)(2i + 2j) = 7i + 7j.
Correct Answer:
A
— 8
Learn More →
Q. What is the purpose of a demodulator in a communication system?
-
A.
To encode the signal for transmission
-
B.
To convert the modulated signal back to its original form
-
C.
To amplify the received signal
-
D.
To filter out unwanted frequencies
Solution
A demodulator's purpose is to convert the modulated signal back to its original baseband form for further processing.
Correct Answer:
B
— To convert the modulated signal back to its original form
Learn More →
Q. What is the purpose of a galvanometer in a Wheatstone bridge?
-
A.
To measure voltage
-
B.
To measure current
-
C.
To detect the balance condition
-
D.
To provide power
Solution
A galvanometer is used to detect the balance condition in a Wheatstone bridge by indicating zero current when balanced.
Correct Answer:
C
— To detect the balance condition
Learn More →
Q. What is the purpose of a graphics card in a computer? (2023)
-
A.
To manage system memory
-
B.
To enhance audio output
-
C.
To render images and videos
-
D.
To connect to the internet
Solution
A graphics card is designed to render images and videos, providing better visual performance for gaming and graphic design.
Correct Answer:
C
— To render images and videos
Learn More →
Q. What is the purpose of antivirus software? (2020)
-
A.
To speed up the computer
-
B.
To protect against malware
-
C.
To manage files
-
D.
To connect to the internet
Solution
Antivirus software is designed to protect a computer from malware and other security threats.
Correct Answer:
B
— To protect against malware
Learn More →
Q. What is the purpose of device drivers in an operating system? (2023)
-
A.
To manage user accounts
-
B.
To control hardware devices
-
C.
To provide internet connectivity
-
D.
To enhance software performance
Solution
Device drivers are software components that allow the operating system to communicate with hardware devices.
Correct Answer:
B
— To control hardware devices
Learn More →
Q. What is the purpose of highlighting while reading?
-
A.
To make the text colorful
-
B.
To identify important information
-
C.
To distract from the text
-
D.
To summarize the text
Solution
Highlighting is used to identify important information in the text for easier reference later.
Correct Answer:
B
— To identify important information
Learn More →
Q. What is the purpose of memory management in an operating system?
-
A.
To manage CPU scheduling
-
B.
To allocate and deallocate memory space
-
C.
To handle input/output operations
-
D.
To manage file systems
Solution
Memory management is responsible for allocating and deallocating memory space to processes.
Correct Answer:
B
— To allocate and deallocate memory space
Learn More →
Q. What is the purpose of pre-natal care? (2021)
-
A.
To ensure the health of the mother and fetus
-
B.
To promote breastfeeding
-
C.
To encourage early delivery
-
D.
To prevent STIs
Solution
Pre-natal care is aimed at ensuring the health of both the mother and the developing fetus during pregnancy.
Correct Answer:
A
— To ensure the health of the mother and fetus
Learn More →
Q. What is the purpose of the 'Slide Show' tab in PowerPoint? (2023)
-
A.
To edit slides
-
B.
To add transitions
-
C.
To present the slides
-
D.
To insert images
Solution
The Slide Show tab in PowerPoint is used to present the slides.
Correct Answer:
C
— To present the slides
Learn More →
Q. What is the purpose of the examples provided in the passage? (2023)
-
A.
To illustrate the author's personal experiences.
-
B.
To support the main argument with evidence.
-
C.
To distract from the main topic.
-
D.
To provide historical context.
Solution
The examples serve to reinforce the author's argument by providing concrete evidence, thus supporting option 1.
Correct Answer:
B
— To support the main argument with evidence.
Learn More →
Q. What is the purpose of the galvanometer in a Wheatstone bridge?
-
A.
To measure voltage
-
B.
To measure current
-
C.
To detect the balance condition
-
D.
To provide power
Solution
The galvanometer is used to detect the balance condition by indicating the current flow.
Correct Answer:
C
— To detect the balance condition
Learn More →
Q. What is the purpose of the second paragraph?
-
A.
To provide background information
-
B.
To present a counterargument
-
C.
To conclude the discussion
-
D.
To introduce a new topic
Solution
The second paragraph offers background information that sets the stage for the main argument.
Correct Answer:
A
— To provide background information
Learn More →
Showing 20641 to 20670 of 28492 (950 Pages)
