The question asks to identify the cricketer whose record Ravichandran Ashwin broke to become the fastest to 300 Test wickets in terms of matches played. This requires knowledge of cricket records, specifically the fastest bowlers to reach the 300-wicket milestone in Test cricket.
Correct Option: C) Dennis Lillee
Which of the following will give a terminating decimal?
\(\frac{3}{36}\)
\(\frac{6}{36}\)
\(\frac{12}{36}\)
\(\frac{9}{36}\)
A rational number (a fraction) will result in a terminating decimal if, when the fraction is reduced to its simplest form, the prime factorization of its denominator contains only the primes 2 and/or 5. Otherwise, it will be a non-terminating, repeating decimal.
D) \(\frac{9}{36}\) results in a terminating decimal because its simplified form is \(\frac{1}{4}\), and the prime factorization of the denominator (4) is \(2^2\), which contains only the prime factor 2.
The question asks to identify the incorrect statement about solids from the given options. We need to recall the fundamental properties of solids to evaluate each statement.
Based on the evaluation, statement B is the incorrect one.
B) Solids have indefinite shape.
This statement is incorrect because solids possess a definite shape due to the strong intermolecular forces holding their particles in fixed positions. They do not conform to the shape of their container.
The question asks about the storage form of carbohydrates in plants when they are not immediately used. We need to identify the specific molecule plants use for long-term carbohydrate storage.
Correct Option: C) Starch — Plants store excess carbohydrates, primarily glucose, in the form of starch. Starch is a complex carbohydrate (polysaccharide) composed of many glucose units linked together. It serves as an energy reserve for the plant, which can be broken down into glucose when energy is required.
The question asks to identify the director of the highest-grossing Indian film "Bahubali" (as of 2018). This requires knowledge of prominent Indian film directors and their famous works.
The "Bahubali" franchise, consisting of "Baahubali: The Beginning" (2015) and "Baahubali 2: The Conclusion" (2017), was directed by S. S. Rajamouli. Both films achieved significant commercial success, with "Baahubali 2: The Conclusion" becoming the highest-grossing Indian film at the time of its release and maintaining that status for a period.
D) SS Rajamouli is the acclaimed director behind the "Bahubali" film series, which includes "Baahubali: The Beginning" and "Baahubali 2: The Conclusion." The latter became the highest-grossing Indian film as of 2018.
To determine the work done, we need to consider the definition of work in physics, which involves force and displacement. Specifically, we'll examine the angle between the gravitational force acting on the moon and its instantaneous displacement as it orbits the Earth.
Correct Option: C) Zero
The question asks about the relationship described by the second equation of motion. We need to recall the standard kinematic equations and identify what physical quantities each equation relates.
The three fundamental equations of motion (also known as kinematic equations for constant acceleration) are:
First Equation of Motion: Relates final velocity, initial velocity, acceleration, and time.
\[ v = u + at \]
Where:
Second Equation of Motion: Relates displacement (change in position), initial velocity, acceleration, and time.
\[ s = ut + \frac{1}{2}at^2 \]
Where:
Third Equation of Motion: Relates final velocity, initial velocity, acceleration, and displacement.
\[ v^2 = u^2 + 2as \]
From the second equation, \(s = ut + \frac{1}{2}at^2\), we can see that it directly provides a relationship between displacement (position) and time, along with initial velocity and acceleration.
Correct Option: B) Position and time
The second equation of motion, \(s = ut + \frac{1}{2}at^2\), directly relates the displacement (\(s\), which represents the change in position) of an object to the time (\(t\)) it has been moving, given its initial velocity (\(u\)) and constant acceleration (\(a\)).
A) Position and velocity — This relationship is primarily given by the third equation of motion (\(v^2 = u^2 + 2as\)), which relates final velocity, initial velocity, and displacement, or by integrating the velocity function with respect to time.
C) Velocity and acceleration — While acceleration is the rate of change of velocity, and the first equation (\(v = u + at\)) relates velocity, acceleration, and time, the second equation does not primarily focus on the direct relationship between velocity and acceleration alone.
D) Velocity and time — This relationship is explicitly given by the first equation of motion (\(v = u + at\)), which describes how velocity changes over time due to constant acceleration.
The question asks to identify the Deputy Chief Minister of Bihar as of February 2018. This requires knowledge of political officeholders during that specific period.
Correct Option: A) Sushil Kumar Modi was the Deputy Chief Minister of Bihar as of February 2018. He assumed this role in July 2017 after the formation of the new government with the BJP and held it until November 2020.
To find the selling price of the toy, we first need to calculate the profit amount based on the given profit percentage and the cost price. Then, we add this profit to the cost price to get the selling price.
The cost price of the toy is given as ₹66.
\[ \text{CP} = \text{₹}66 \]The profit percentage is given as 15%.
\[ \text{Profit Percentage} = 15\% \]The profit amount is 15% of the cost price.
\[ \text{Profit Amount} = \text{Profit Percentage} \times \text{CP} \] \[ \text{Profit Amount} = 0.15 \times 66 \] \[ \text{Profit Amount} = \text{₹}9.90 \]The selling price is the sum of the cost price and the profit amount.
\[ \text{SP} = \text{CP} + \text{Profit Amount} \] \[ \text{SP} = 66 + 9.90 \] \[ \text{SP} = \text{₹}75.90 \]Alternatively, the selling price can be calculated directly using the formula:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \] \[ \text{SP} = 66 \times \left(1 + \frac{15}{100}\right) \] \[ \text{SP} = 66 \times (1 + 0.15) \] \[ \text{SP} = 66 \times 1.15 \] \[ \text{SP} = \text{₹}75.90 \]Correct Option: C) ₹75.90
The question asks us to determine which conclusion(s) logically follow from the given statement: "Weight is also a force." We need to recall the definitions and units of force and weight in physics.
D) Only conclusion 1 follows.