To find out how many times the digit 5 appears in numbers from 1 to 100, we need to count its occurrences in the units place and the tens place separately.
The digit 5 appears in the units place for the following numbers:
There are 10 such numbers.
The digit 5 appears in the tens place for the following numbers:
There are 10 such numbers.
Add the occurrences from the units place and the tens place. Note that the number 55 has been counted twice (once for the units place and once for the tens place), so we do not need to make any further adjustments. The total count is simply the sum of occurrences in each position.
\[ \text{Total occurrences} = \text{Occurrences in units place} + \text{Occurrences in tens place} \]Total occurrences \( = 10 + 10 = 20 \).
Therefore, the digit 5 occurs 20 times in the numbers from 1 to 100.
C) 20 is the correct answer because the digit 5 appears 10 times in the units place (5, 15, ..., 95) and 10 times in the tens place (50, 51, ..., 59), making a total of 20 occurrences.
The question asks about the type of energy a body possesses specifically because it is in motion. We need to recall the definitions of different forms of energy.
Correct Option: A) Kinetic energy is the energy possessed by an object due to its motion. If a body is in motion, it must have some velocity (\(v \neq 0\)), and therefore, it will possess kinetic energy.
To find the cost of half a kg of vegetables, we first need to determine the cost of 1 kg of vegetables. Once we have the cost per kg, we can easily calculate the cost for half a kg.
Given Information:
Calculate the cost of \(1 \text{ kg}\) of vegetables:
If \(2.5 \text{ kg}\) costs \(\text{Rs. } 120\), then the cost of \(1 \text{ kg}\) can be found by dividing the total cost by the total quantity:
\[ \text{Cost per kg} = \frac{\text{Total Cost}}{\text{Total Quantity}} \]\[ \text{Cost per kg} = \frac{120}{2.5} \]\[ \text{Cost per kg} = \frac{120}{\frac{5}{2}} \]\[ \text{Cost per kg} = 120 \times \frac{2}{5} \]\[ \text{Cost per kg} = \frac{240}{5} \]\[ \text{Cost per kg} = \text{Rs. } 48 \]Calculate the cost of half a kg of vegetables:
Half a kg is \(0.5 \text{ kg}\). Now multiply the cost per kg by \(0.5 \text{ kg}\):
\[ \text{Cost of } 0.5 \text{ kg} = \text{Cost per kg} \times 0.5 \]\[ \text{Cost of } 0.5 \text{ kg} = 48 \times 0.5 \]\[ \text{Cost of } 0.5 \text{ kg} = 48 \times \frac{1}{2} \]\[ \text{Cost of } 0.5 \text{ kg} = \text{Rs. } 24 \]C) 24
The problem asks us to identify the relationship between the given pair "Yarn : Fabric" and then find an alternative pair that exhibits a similar relationship. The relationship is one of a raw material or basic component to a finished product or structure made from that component.
Correct Option: C) Metal : Sword
Metal is the raw material from which a sword is made, just as yarn is the raw material from which fabric is made.
The question asks for the specific year when Kailash Satyarthi and Malala Yousafzai jointly received the Nobel Peace Prize. This requires knowledge of significant historical events related to the Nobel Peace Prize.
Correct Option: C) 2014
Kailash Satyarthi and Malala Yousafzai were jointly awarded the Nobel Peace Prize in 2014. Satyarthi was recognized for his work against child labor and for promoting children's right to education in India, while Yousafzai was honored for her struggle for the right of all children to education in Pakistan.
The question asks for the name of the ISRO spacecraft launched to study the Sun. This is a factual question related to India's space missions. Recalling the names of major ISRO missions, especially those related to solar studies, is key.
B) Aditya — ISRO's mission to study the Sun is named Aditya-L1. 'Aditya' means Sun in Sanskrit, making it a fitting name for a solar observation mission. The mission was indeed planned around the 2019-20 timeframe, though its actual launch occurred later.
The question asks to identify the first woman president of the Indian National Congress (INC) in pre-Independent India. This requires knowledge of the history of the INC and its presidents.
Correct Option: C) Annie Besant — Annie Besant was the first woman to become the president of the Indian National Congress. She presided over the Calcutta session of the INC in 1917.
The question asks for the year when the Right To Information (RTI) Act came into effect in India. This is a factual question related to Indian legislation and governance. To answer this, one needs to recall the specific year of the enactment of the RTI Act.
Correct Option: B) 2005
To find the middle number of three consecutive even numbers whose sum is given, we can represent the numbers algebraically. Since they are consecutive even numbers, they differ by 2. We can set up an equation and solve for the numbers.
D) 14 is the middle number.