The question asks about the significance of pipelining in CPU architecture. Pipelining is a technique used to improve CPU performance. We need to identify the option that best describes its primary function and benefit.
D) Executes multiple instructions simultaneously by overlapping stages. This option correctly defines pipelining as a technique that improves CPU performance by allowing different stages of multiple instructions to be processed concurrently, thereby increasing the instruction throughput.
To find the missing number in the series, we need to identify the pattern or relationship between consecutive terms. This often involves looking at the differences between numbers, or differences of differences (second-order differences).
Therefore, the missing number in the series is 129.
D) 129 — The pattern involves a constant second-order difference of 6. Following this pattern, the next term is 129.
The problem asks us to identify a triad that follows the same pattern as the two given triads: QT-OR-MP and XA-VY-TW. We need to analyze the letter positions in the alphabet for each pair within the triads to find the underlying rule.
C) TW-RU-PS — This triad follows the pattern: each pair has a difference of +3 between its letters, and the first letters of the pairs (T, R, P) decrease by 2, as do the second letters (W, U, S).
The question asks for the location of the field demonstration of the DRDO's DEW Mk-II(A) system in 2025. This is a factual question related to defense technology and its testing sites in India. Candidates should recall recent news or official announcements regarding DRDO's activities.
Correct Option: C) Kurnool is the correct answer as it is the designated location for the field demonstration of the DRDO's DEW Mk-II(A) system in 2025.
To solve this problem, we need to track Chetan's movements on a 2D plane. We can assign coordinates to his starting point and then update his position after each turn and drive. Finally, we calculate the net displacement from the starting point (Y) to the final point (Z) to determine the shortest distance and direction required to return to Y.
Correct Option: D) 79 km towards the east
The problem asks us to identify the letter-cluster that does not follow the same pattern as the others, based on the English alphabetical order. We need to find the positional values of the letters in each cluster and look for a consistent mathematical or sequential relationship between them.
Let's assign numerical positions to the letters:
Now let's analyze each option:
From the analysis, options A, B, and D all follow the pattern where the second letter is 3 positions after the first, and the third letter is 5 positions before the second. Option C, however, follows a pattern where the second letter is 3 positions after the first, but the third letter is 4 positions before the second.
C) QTP — This letter-cluster follows the pattern \((+3, -4)\), which is different from the \((+3, -5)\) pattern observed in the other three clusters.
Which Indian Constitutional Amendment Act has decreased the Fundamental Rights from seven to six?
35th Constitutional Amendment Act
76th Constitutional Amendment Act
44th Constitutional Amendment Act
42nd Constitutional Amendment Act
The question asks about the Constitutional Amendment Act that reduced the number of Fundamental Rights from seven to six. This involves identifying which amendment removed a specific right from the list of Fundamental Rights.
Correct Option: C) 44th Constitutional Amendment Act
The 44th Constitutional Amendment Act of 1978 removed the Right to Property (Article 31) from the list of Fundamental Rights. It was then made a legal right under Article 300A. This change reduced the number of Fundamental Rights from seven to six.
The question asks for the title of Suzanne Collins' novel scheduled for publication in 2025. This is a factual recall question related to contemporary literature and popular culture, often appearing in general knowledge sections of competitive exams.
Correct Option: B) Sunrise on the Reaping
This is the confirmed title of Suzanne Collins' new novel, a prequel to "The Hunger Games" series, scheduled for release on March 18, 2025. The story will revisit the 50th Hunger Games, also known as the Second Quarter Quell.
What is the median of the following distribution?
| Class | 120-170 | 170-220 | 220-270 | 270-320 | 320-370 |
| Frequency | 18 | 34 | 17 | 13 | 22 |
To find the median of a grouped frequency distribution, we first need to calculate the cumulative frequencies. Then, we determine the median class using the formula for the median position. Finally, we apply the median formula for grouped data.
Calculate Cumulative Frequencies:
| Class Interval | Frequency (\(f\)) | Cumulative Frequency (\(cf\)) |
|---|---|---|
| 120-170 | 18 | 18 |
| 170-220 | 34 | \(18 + 34 = 52\) |
| 220-270 | 17 | \(52 + 17 = 69\) |
| 270-320 | 13 | \(69 + 13 = 82\) |
| 320-370 | 22 | \(82 + 22 = 104\) |
Find the Total Number of Observations (\(N\)):
The total number of observations is the sum of all frequencies, which is the last cumulative frequency.
\[ N = \sum f = 104 \]Determine the Median Position:
The median position is given by \(\frac{N}{2}\).
\[ \frac{N}{2} = \frac{104}{2} = 52 \]Identify the Median Class:
The median class is the class interval where the cumulative frequency is just greater than or equal to the median position (\(52\)). In this case, the cumulative frequency \(52\) corresponds exactly to the class interval 170-220. So, the median class is 170-220.
Apply the Median Formula for Grouped Data:
The formula for the median (\(M\)) of grouped data is:
\[ M = L + \left( \frac{\frac{N}{2} - cf}{f} \right) \times h \]Substitute these values into the formula:
\[ M = 170 + \left( \frac{52 - 18}{34} \right) \times 50 \]\[ M = 170 + \left( \frac{34}{34} \right) \times 50 \]\[ M = 170 + 1 \times 50 \]\[ M = 170 + 50 \]\[ M = 220 \]B) 220
The volume (in cm³) of a wire of diameter 6 cm and length 56 m is:
Take π = \( \frac{22}{7} \)
The problem asks for the volume of a wire, which can be considered a cylinder. We are given the diameter and length of the wire. The volume of a cylinder is calculated using the formula \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height (or length in this case). We need to ensure all units are consistent before calculation, converting meters to centimeters.
The diameter is in centimeters, and the length is in meters. To find the volume in cubic centimeters, we must convert the length from meters to centimeters.
We know that \( 1 \text{ m} = 100 \text{ cm} \).
\[ h = 56 \text{ m} = 56 \times 100 \text{ cm} = 5600 \text{ cm} \]The radius \( r \) is half of the diameter \( d \).
\[ r = \frac{d}{2} = \frac{6 \text{ cm}}{2} = 3 \text{ cm} \]The volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]Substitute \( \pi = \frac{22}{7} \), \( r = 3 \text{ cm} \), and \( h = 5600 \text{ cm} \) into the formula:
\[ V = \frac{22}{7} \times (3 \text{ cm})^2 \times 5600 \text{ cm} \]\[ V = \frac{22}{7} \times 9 \text{ cm}^2 \times 5600 \text{ cm} \]\[ V = 22 \times 9 \times \frac{5600}{7} \text{ cm}^3 \]\[ V = 22 \times 9 \times 800 \text{ cm}^3 \]\[ V = 198 \times 800 \text{ cm}^3 \]\[ V = 158400 \text{ cm}^3 \]Correct Option: A) 1,58,400
The calculated volume of the wire is \( 1,58,400 \text{ cm}^3 \).