The question asks to identify the incorrect pairing of a Public Sector Undertaking (PSU) with its year of establishment. To answer this, we need to recall the founding years of the given PSUs.
Based on the above, the pairing for Damodar Valley Corporation is incorrect.
B) Damodar Valley Corporation in 1958. This statement is incorrect because the Damodar Valley Corporation was established in 1948.
The question pertains to the legislative procedure for Money Bills in the Indian Parliament, specifically the role and powers of the Rajya Sabha (Council of States) concerning such bills. Understanding the constitutional provisions related to Money Bills is crucial.
Correct Option: B) 14
As per Article 109(1) of the Indian Constitution, the Rajya Sabha must return a Money Bill to the Lok Sabha within 14 days of its receipt. If it fails to do so, the bill is deemed to have been passed by both Houses.
To solve this problem, we need to understand what "percentage of" means mathematically. "Percentage of" translates to multiplication after converting the percentage to a decimal or a fraction. We will convert 75% to its decimal equivalent and then multiply the two values.
Convert percentage to decimal:
A percentage can be converted to a decimal by dividing it by 100.
\[ 75\% = \frac{75}{100} = 0.75 \]Interpret the phrase "75% of 75%":
The word "of" in mathematics usually implies multiplication. So, "75% of 75%" means \( 75\% \times 75\% \).
Perform the multiplication:
Substitute the decimal equivalent of 75% into the expression:
\[ 0.75 \times 0.75 \]Now, multiply these two decimal numbers:
\[ 0.75 \times 0.75 = 0.5625 \]Therefore, 75% of 75% is equal to 0.5625.
D) 0.5625
The question asks to identify the founder of Himachal Pradesh. This requires knowledge of the political history and key figures involved in the formation and early administration of the state of Himachal Pradesh.
Correct Option: D) Dr. Yashwant Singh Parmar is widely regarded as the founder of Himachal Pradesh. He was instrumental in the formation of the state and served as its first Chief Minister, playing a crucial role in its political and administrative development.
Which of the following is equal to 3.14 × 106 ?
The problem asks us to convert a number expressed in scientific notation (or standard form) into its expanded decimal form. This involves understanding how multiplication by powers of 10 affects the position of the decimal point.
D) 3140000 is the correct expanded form of \(3.14 \times 10^6\).
The question asks to identify an open-source operating system used for managing computer hardware and software. We need to evaluate each given option based on whether it is an operating system and if it is open source.
Correct Option: C) Linux is an open-source operating system that manages computer hardware and software.
This is an analogy question where we need to find the relationship between the first pair of words and apply the same relationship to the second pair to find the missing word.
Correct Option: A) Cure
We are given the mean, range, and the difference between the two smallest numbers for a set of three numbers. We need to find the greatest of these three numbers. We will set up equations based on the given information and solve them simultaneously.
Let the three numbers in ascending order be \(a\), \(b\), and \(c\). So, \(a < b < c\).
Mean of the three numbers: The mean is given as 53. The formula for the mean is the sum of the numbers divided by the count of numbers.
\[ \frac{a + b + c}{3} = 53 \] \[ a + b + c = 53 \times 3 \] \[ a + b + c = 159 \quad \text{(Equation 1)} \]Range of the data set: The range is the difference between the greatest and the smallest number. It is given as 28.
\[ c - a = 28 \quad \text{(Equation 2)} \]Difference between the two smallest numbers: The two smallest numbers are \(a\) and \(b\). Their difference is given as 8.
\[ b - a = 8 \quad \text{(Equation 3)} \]Express \(b\) and \(c\) in terms of \(a\): From Equation 3, we get \(b = a + 8\). From Equation 2, we get \(c = a + 28\).
Substitute these expressions into Equation 1:
\[ a + (a + 8) + (a + 28) = 159 \] \[ 3a + 36 = 159 \] \[ 3a = 159 - 36 \] \[ 3a = 123 \] \[ a = \frac{123}{3} \] \[ a = 41 \]Find \(b\) and \(c\): Using \(a = 41\): \(b = a + 8 = 41 + 8 = 49\) \(c = a + 28 = 41 + 28 = 69\)
The three numbers are 41, 49, and 69. The greatest of these numbers is \(c = 69\).
Correct Option: D) 69
Select the Venn diagram that best represents the relationship between the classes:
Birds, Sparrow, Pigeon
To determine the correct Venn diagram, we need to understand the hierarchical relationship between the classes: Birds, Sparrow, and Pigeon. Sparrows and pigeons are both types of birds, but they are distinct from each other.
Correct Option: A) The diagram shows a large circle representing "Birds" with two separate circles inside it, representing "Sparrow" and "Pigeon." This accurately reflects the relationship where both sparrows and pigeons are distinct types of birds.
The question asks to identify which of the given options is NOT one of the three main parts in which the Government of India's accounts are kept. This requires knowledge of the constitutional provisions regarding government funds.
B) Cooperative fund — The term "Cooperative fund" does not refer to one of the three main constitutional funds or accounts of the Government of India. While cooperative societies exist and may have their own funds, it is not a central government account in the same way as the Consolidated Fund, Public Account, or Contingency Fund.
