Major Competitive Exams
Q. What is the product of the roots of the polynomial P(x) = x^2 - 7x + 10?
Show solution
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 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
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
Show solution
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 fiscal deficit of India for the year 2023? (2023)
A.
4.5%
B.
5.0%
C.
5.5%
D.
6.0%
Show solution
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 projection of vector a = (3, 4) onto vector b = (1, 0)?
Show solution
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)?
Show solution
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 = i + j? (2020)
Show solution
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 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
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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
Show solution
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 the 'Slide Show' tab in PowerPoint? (2023)
A.
To edit slides
B.
To add transitions
C.
To present the slides
D.
To insert images
Show solution
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 galvanometer in a Wheatstone bridge?
A.
To measure voltage
B.
To measure current
C.
To detect the balance condition
D.
To provide power
Show solution
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 using a DNA ligase in genetic engineering? (2023)
A.
To cut DNA
B.
To amplify DNA
C.
To join DNA fragments together
D.
To degrade RNA
Show solution
Solution
DNA ligase is an enzyme that joins DNA fragments together, which is essential for creating recombinant DNA molecules in genetic engineering.
Correct Answer: C — To join DNA fragments together
Learn More →
Q. What is the purpose of using a promoter in a recombinant DNA molecule? (2021)
A.
To initiate DNA replication
B.
To enhance the stability of the DNA
C.
To drive the expression of the inserted gene
D.
To facilitate DNA repair
Show solution
Solution
A promoter is a DNA sequence that initiates transcription of a particular gene, driving the expression of the inserted gene in a recombinant DNA molecule.
Correct Answer: C — To drive the expression of the inserted gene
Learn More →
Q. What is the purpose of using a selectable marker in genetic engineering? (2023)
A.
To enhance gene expression
B.
To identify successfully transformed cells
C.
To increase DNA stability
D.
To promote cell division
Show solution
Solution
Selectable markers are genes that confer resistance to antibiotics or other substances, allowing researchers to identify cells that have successfully taken up the recombinant DNA.
Correct Answer: B — To identify successfully transformed cells
Learn More →
Q. What is the purpose of using a vernier caliper? (2019)
A.
To measure mass
B.
To measure temperature
C.
To measure length with high precision
D.
To measure volume
Show solution
Solution
A vernier caliper is used to measure lengths with high precision.
Correct Answer: C — To measure length with high precision
Learn More →
Q. What is the purpose of using CRISPR technology in biotechnology? (2023)
A.
To clone organisms
B.
To edit genes
C.
To produce vaccines
D.
To sequence DNA
Show solution
Solution
CRISPR technology is primarily used for gene editing, allowing precise modifications to DNA.
Correct Answer: B — To edit genes
Learn More →
Q. What is the purpose of using linking words in a text? (2023)
A.
To confuse the reader
B.
To enhance the visual appeal
C.
To connect ideas smoothly
D.
To increase word count
Show solution
Solution
Linking words are used to connect ideas smoothly, improving the coherence of the text.
Correct Answer: C — To connect ideas smoothly
Learn More →
Q. What is the purpose of using restriction enzymes in genetic engineering? (2023)
A.
To cut DNA at specific sites
B.
To amplify DNA
C.
To sequence DNA
D.
To repair DNA
Show solution
Solution
Restriction enzymes are used to cut DNA at specific sequences, which is essential for cloning and genetic engineering.
Correct Answer: A — To cut DNA at specific sites
Learn More →
Q. What is the quorum required for a Lok Sabha session? (2023)
A.
One-fourth of the total strength
B.
One-third of the total strength
C.
Half of the total strength
D.
One-fifth of the total strength
Show solution
Solution
The quorum required for a Lok Sabha session is one-fourth of the total strength.
Correct Answer: A — One-fourth of the total strength
Learn More →
Q. What is the radius of a circle if the area is 154 square units? (2023)
A.
7 units
B.
14 units
C.
11 units
D.
10 units
Show solution
Solution
Area = πr²; 154 = 22/7 * r²; r² = 154 * 7/22 = 49; r = 7 units.
Correct Answer: A — 7 units
Learn More →
Q. What is the radius of a circle if the circumference is 31.4 m? (2020)
A.
5 m
B.
10 m
C.
15 m
D.
20 m
Show solution
Solution
Circumference = 2πr; 31.4 = 2πr; r = 31.4/(2π) ≈ 5 m.
Correct Answer: A — 5 m
Learn More →
Q. What is the radius of a circle if the diameter is 14 cm? (2021)
A.
7 cm
B.
14 cm
C.
21 cm
D.
28 cm
Show solution
Solution
Radius is half of the diameter. Therefore, radius = 14 cm / 2 = 7 cm.
Correct Answer: A — 7 cm
Learn More →
Q. What is the radius of the circle given by the equation (x - 1)² + (y + 4)² = 16?
Show solution
Solution
The radius is the square root of 16, which is 4.
Correct Answer: A — 4
Learn More →
Q. What is the range of human hearing in Hertz?
A.
20 Hz to 20 kHz
B.
20 kHz to 20 MHz
C.
1 Hz to 100 kHz
D.
10 Hz to 10 kHz
Show solution
Solution
The typical range of human hearing is from 20 Hz to 20 kHz.
Correct Answer: A — 20 Hz to 20 kHz
Learn More →
Q. What is the range of human hearing in terms of frequency?
A.
20 Hz to 20 kHz
B.
20 kHz to 20 MHz
C.
1 Hz to 100 kHz
D.
100 Hz to 10 kHz
Show solution
Solution
The typical range of human hearing is from 20 Hz to 20 kHz.
Correct Answer: A — 20 Hz to 20 kHz
Learn More →
Q. What is the range of sin^(-1)(x)?
A.
[-π/2, π/2]
B.
[-1, 1]
C.
[0, π]
D.
[-π, π]
Show solution
Solution
The range of sin^(-1)(x) is [-π/2, π/2].
Correct Answer: A — [-π/2, π/2]
Learn More →
Showing 12571 to 12600 of 17824 (595 Pages)