To solve this problem, we need to compare the original positions of the letters in the given word with their positions after arranging them in alphabetical order. We will then count how many letters maintain their original position.
Correct Option: A) Two
The question asks to identify the specific program launched by the Ministry of Electronics and Information Technology (MeitY) in 2021 to support early-stage startups. We need to recall the various government initiatives related to startups and their respective launching ministries and years.
D) SAMRIDH
SAMRIDH (Startup Accelerators of MeitY for Product Innovation, Development & Growth) was launched by the Ministry of Electronics and Information Technology (MeitY) in August 2021. Its objective is to create a conducive platform for Indian software product startups to enhance their products and secure investments, thereby addressing the challenges faced by startups in the early stages of product development and scaling. The program aims to provide financial assistance, mentorship, and market access to selected startups.
The selling price of 10 books is equal to the cost price of 15 books. Find the loss or gain percentage.
\( \frac{100}{3} \) % Gain
\( \frac{100}{3} \) % Loss
50% Loss
50% Gain
To find the loss or gain percentage, we need to establish a relationship between the selling price (SP) and cost price (CP) of a single book. We are given a relationship between the selling price of 10 books and the cost price of 15 books. From this, we can find the ratio of SP to CP for one book, and then calculate the percentage gain or loss.
Set up the given equation:
Let \(\text{CP}\) be the cost price of one book and \(\text{SP}\) be the selling price of one book.
According to the problem statement, the selling price of 10 books is equal to the cost price of 15 books. This can be written as:
\[ 10 \times \text{SP} = 15 \times \text{CP} \]Find the ratio of SP to CP:
Rearrange the equation to find the ratio \(\frac{\text{SP}}{\text{CP}}\):
This means that for every \(2\) units of cost price, the selling price is \(3\) units. Since \(\text{SP} > \text{CP}\), there is a gain.
Calculate the gain:
Gain is given by \(\text{SP} - \text{CP}\).
Let \(\text{CP} = 2x\) and \(\text{SP} = 3x\) for some value \(x\).
\[ \text{Gain} = 3x - 2x = x \]Calculate the gain percentage:
The gain percentage is calculated using the formula:
Substitute the values:
\[ \text{Gain Percentage} = \frac{x}{2x} \times 100\% \] \[ \text{Gain Percentage} = \frac{1}{2} \times 100\% \] \[ \text{Gain Percentage} = 50\% \]Thus, there is a 50% gain.
D) 50% Gain. The calculation shows a 50% gain, as the selling price is higher than the cost price.
The diagram below shows a part of the human alimentary canal. Which process is taking place and how?
Digestion, due to rhythmic contraction and relaxation of muscular walls
Peristalsis, due to rhythmic contraction and relaxation of muscular walls
Digestion, due to enzymes present
Peristalsis, due to enzymes present
The diagram depicts a section of the human alimentary canal, specifically the oesophagus, showing the movement of food. The question asks us to identify the process occurring in this part of the digestive system.
Correct Option: B) Peristalsis, due to rhythmic contraction and relaxation of muscular walls
This problem involves determining the direction of the magnetic force on charged particles (protons and electrons) moving in a magnetic field. We will use the right-hand rule for positive charges (protons) and the left-hand rule for negative charges (electrons) or adjust the right-hand rule for electrons. The magnetic force on a charged particle is given by the Lorentz force formula: \(\vec{F} = q(\vec{v} \times \vec{B})\).
Correct Option: C) east, west
The question asks for the location where the Lokrang Utsav is celebrated. This requires knowledge of Indian cultural festivals and their associated states.
Correct Option: B) The Lokrang Utsav is a significant cultural festival held annually in Bhopal, Madhya Pradesh. It aims to preserve and promote the tribal and folk traditions of India, featuring dance, music, art, and crafts from various states.
The given series is a numerical sequence. We need to identify the pattern or relationship between consecutive numbers to find the next term in the series.
Correct Option: A) 30000 is the correct answer because each number in the series is 10 times the previous number.
To identify an indirect tax, we need to understand the fundamental difference between direct and indirect taxes. Direct taxes are levied on income or wealth, where the burden cannot be shifted. Indirect taxes are levied on goods and services, and their burden can be shifted from the person who pays the tax to the final consumer.
D) Goods and Services Tax — GST is a classic example of an indirect tax because its burden is ultimately borne by the final consumer, even though it is collected at various stages of production and distribution.
To find the total volume of the toy, we need to calculate the volume of the cube and the volume of the cuboid separately, and then add them together. The formula for the volume of a cube is \( \text{side}^3 \) and for a cuboid is \( \text{length} \times \text{width} \times \text{height} \).
Correct Option: C) 205 cm³
The problem requires us to find which pair of numbers, when interchanged in the given equation, makes the equation mathematically correct. We need to apply the BODMAS/PEMDAS rule (Order of Operations) for each option after interchanging the numbers and check if the equation holds true.
The given equation is: \(3 \times 5 + 20 \div 8 - 17 = 11\)
If we interchange 5 and 8, the equation becomes:
\[ 3 \times 8 + 20 \div 5 - 17 \]Now, we apply the BODMAS rule:
Since \(11 = 11\), this option makes the equation correct.
Correct Option: A) 5 and 8
Interchanging 17 and 3, the equation becomes:
\[ 17 \times 5 + 20 \div 8 - 3 \]Applying BODMAS:
Since \(84.5 \neq 11\), this option is incorrect.
Interchanging 8 and 17, the equation becomes:
\[ 3 \times 5 + 20 \div 17 - 8 \]Applying BODMAS:
Since \(8.176 \neq 11\), this option is incorrect.
Interchanging 5 and 17, the equation becomes:
\[ 3 \times 17 + 20 \div 8 - 5 \]Applying BODMAS:
Since \(48.5 \neq 11\), this option is incorrect.