The question asks for the key difference between striated and smooth muscle cells. This requires understanding the fundamental characteristics and functions of these muscle types.
D) Smooth muscles cannot contract at will, while voluntary muscles contract at will. This statement accurately describes a primary difference: smooth muscles are involuntary, and striated (voluntary) muscles are under conscious control.
The question asks to identify the Indian state where the Venuban Vihara Buddhist Monastery is located. This requires knowledge of significant cultural and religious sites in India, particularly in the North Eastern region.
Correct Option: D) Tripura is the correct answer. The Venuban Vihara Buddhist Monastery is situated in Kunjaban, near Agartala, the capital of Tripura. It is one of the oldest and most revered Buddhist monasteries in the state, housing a metal idol of Lord Buddha.
The question asks us to evaluate two statements regarding the force on a current-carrying conductor in a magnetic field. We need to recall the principles governing this force, specifically how its direction is determined and how it changes with the reversal of the magnetic field.
D) Only (b) is correct because Fleming's left-hand rule is used to determine the direction of the force on a current-carrying conductor in a magnetic field.
The question asks for the actual growth rate achieved during India's First Five-Year Plan against its target. This requires recalling specific historical economic data related to India's Five-Year Plans.
C) 3.6 % — The First Five-Year Plan achieved a growth rate of 3.6% against a target of 2.1%, making it a successful plan in terms of economic growth.
This problem involves rates of work, specifically filling a tank. We can solve it by assigning variables to the time taken by each pipe and then using the concept that the sum of individual rates equals the combined rate. The rate is the reciprocal of the time taken to complete the work.
Let \(T_S\) be the time taken by the slower pipe to fill the tank alone (in minutes).
Let \(T_F\) be the time taken by the faster pipe to fill the tank alone (in minutes).
According to the problem, one pipe can fill a tank three times as fast as another pipe. This means the faster pipe takes one-third the time of the slower pipe. So, we can write the relationship:
\[ T_F = \frac{T_S}{3} \]The rate of the slower pipe is \(\frac{1}{T_S}\) tank per minute.
The rate of the faster pipe is \(\frac{1}{T_F}\) tank per minute. Substituting \(T_F = \frac{T_S}{3}\), the rate of the faster pipe is \[\frac{1}{\frac{T_S}{3}} = \frac{3}{T_S}\] tank per minute.
Together, the two pipes can fill the tank in 32 minutes. Their combined rate is \(\frac{1}{32}\) tank per minute.
The sum of their individual rates equals their combined rate:
\[ \frac{1}{T_S} + \frac{3}{T_S} = \frac{1}{32} \]Combine the terms on the left side:
\[ \frac{1+3}{T_S} = \frac{1}{32} \]\[ \frac{4}{T_S} = \frac{1}{32} \]Solve for \(T_S\):
\[ T_S = 4 \times 32 \]\[ T_S = 128 \]Therefore, the slower pipe alone will be able to fill the tank in 128 minutes.
D) 128 is the correct answer. The slower pipe takes 128 minutes to fill the tank alone.
This problem involves analyzing statements and conclusions based on logical reasoning, often represented using Venn diagrams. We need to determine which conclusions logically follow from the given statements, assuming the statements are true.
Correct Option: D) Only conclusion II follows.
The question asks for the location of the main research station of the ICAR–Indian Institute of Horticultural Research (IIHR). This is a factual question requiring knowledge of the locations of prominent agricultural research institutions in India.
Correct Option: B) Bengaluru is the correct location for the main research station of the ICAR–Indian Institute of Horticultural Research.
The question asks about the location of India's first medical city, 'Indrayani Medicity', which was scheduled to be set up in March 2022. This is a current affairs question requiring knowledge of recent developments in India's healthcare infrastructure.
Correct Option: A) Maharashtra
India's first medical city, 'Indrayani Medicity', was planned to be set up in Pune, Maharashtra. The Maharashtra Industrial Development Corporation (MIDC) was tasked with developing this project on 300 acres of land in the Khed tehsil of Pune district. It aims to attract investments of around Rs 10,000 crore and create 10,000 jobs.
The problem provides two conditions: the sum of two numbers \(x\) and \(y\), and their product. We need to find the pair of numbers that satisfy both conditions. We can either solve this algebraically by forming a quadratic equation or by testing the given options against the conditions.
Understand the given conditions:
Method 1: Algebraic Solution
From the first equation, we can express \(y\) in terms of \(x\):
\(y = 18 - x\)
Substitute this into the second equation:
\[x(18 - x) = 77\] \[18x - x^2 = 77\]Rearrange into a standard quadratic equation:
\[x^2 - 18x + 77 = 0\]Factor the quadratic equation. We need two numbers that multiply to 77 and add up to -18. These numbers are -7 and -11.
\[(x - 7)(x - 11) = 0\]This gives two possible values for \(x\):
\[x = 7 \quad \text{or} \quad x = 11\]If \(x = 7\), then \(y = 18 - 7 = 11\).
If \(x = 11\), then \(y = 18 - 11 = 7\).
So, the pair of numbers is (7, 11) or (11, 7).
Method 2: Testing the Options
We will check each option to see if it satisfies both \(x + y = 18\) and \(x \cdot y = 77\).
Only Option B satisfies both conditions.
B) 11 and 7. When \(x = 11\) and \(y = 7\), their sum is \(11 + 7 = 18\) and their product is \(11 \cdot 7 = 77\). Both conditions are met.
The problem asks us to modify a given set of three-letter words by changing each letter to the next letter in the English alphabetical order. After this transformation, we need to count how many of the newly formed words contain no vowels. The vowels in the English alphabet are A, E, I, O, U.
Correct Option: D) Two