Convert fraction \( \frac{625}{8} \) into decimal number:
To convert a fraction into a decimal number, we perform division. The numerator is divided by the denominator. In this case, we need to divide 625 by 8.
Divide 625 by 8:
The division is complete when the remainder is 0.
B) 78.125 is the correct decimal equivalent of \( \frac{625}{8} \).
The question asks to identify the specific Hindi award received by Surendra Verma. This requires knowledge of prominent literary awards in India and their recipients, particularly for the year 2016.
Correct Option: A) Vyas Samman 2016. Surendra Verma was awarded the 26th Vyas Samman in 2016 for his novel 'Kaatna Shami Ka Vriksha Padma Pankhuri Ki Dhar Se', published in 2010. The Vyas Samman is given annually by the K.K. Birla Foundation for an outstanding literary work in Hindi authored by an Indian citizen published in the last 10 years.
The above bar graph shows the production of three grains P, Q, R in four states A, B, C, D. What is the percentage (up to one decimal place) of state B in the total production of grain R?
To find the percentage of state B in the total production of grain R, we need to calculate the proportion of grain R produced in state B relative to the total production of grain R in all states.
Correct Option: B) 37.5
Complete the following series using the correct letters given in the alternatives.
VE, TG, RI, _____, NM
The problem presents a series of two-letter combinations. To complete the series, we need to identify the pattern in how the letters change from one combination to the next. We will analyze the progression of both the first and second letters independently.
Correct Option: D) PK — The first letter decreases by 2 positions in the alphabet, and the second letter increases by 2 positions in the alphabet.
The question asks for the location of the Chinnaswamy Cricket Ground. This is a factual question related to general knowledge about famous sports venues in India.
Correct Option: B) Bangalore
The question asks to evaluate the correctness of two statements regarding the speed of sound in different mediums at a specific temperature (25°C). This requires knowledge of typical sound speeds in common substances.
A) Only A is correct. This aligns with our analysis that statement A is true and statement B is false.
The problem involves calculating the number of coins of a specific denomination given the total value of coins and the percentage distribution of different coin types. We will set up an equation based on the total value, considering the number of coins of each denomination as a percentage of the total number of coins.
Let the total number of coins be \(N\).
Calculate the percentage of each coin type:
Rs. 5 coins: 40% of \(N = 0.4N\)
Rs. 10 coins: 20% of \(N = 0.2N\)
Rs. 2 coins: 30% of \(N = 0.3N\)
Rs. 1 coins: The remaining percentage. Total percentage is 100%. So, \(100\% - (40\% + 20\% + 30\%) = 100\% - 90\% = 10\%\). Thus, Rs. 1 coins: \(0.1N\)
Formulate an equation for the total value of the coins:
The total value is Rs. 940.
\[ (0.4N \times 5) + (0.2N \times 10) + (0.3N \times 2) + (0.1N \times 1) = 940 \]Simplify the equation:
\[ 2N + 2N + 0.6N + 0.1N = 940 \]\[ 4.7N = 940 \]Solve for \(N\), the total number of coins:
\[ N = \frac{940}{4.7} \]\[ N = \frac{9400}{47} \]\[ N = 200 \]Calculate the number of Rs. 5 coins:
Number of Rs. 5 coins = 40% of \(N\)
\[ \text{Number of Rs. 5 coins} = 0.4 \times 200 \]\[ \text{Number of Rs. 5 coins} = 80 \]Correct Option: A) 80
Find the odd one:
To find the odd one out, we need to analyze the patterns in each option and identify which one does not follow the common pattern.
The common pattern in options B, C, and D is that the lines inside the circles are aligned consistently (either all horizontal or all diagonal in the same direction). However, in option A, the lines are not aligned consistently, making it the odd one out.
Correct Option: A) Option A is the odd one out due to inconsistent line alignment.
The question asks to identify the crop for which Uttar Pradesh was the leading producer as of 2018. This requires knowledge of agricultural statistics in India.
Correct Option: D) Sugarcane is the correct answer. Uttar Pradesh has historically been and continues to be the largest producer of sugarcane in India. This is due to favorable climatic conditions, fertile soil, and extensive irrigation facilities in the state, along with a well-established sugar industry.
This question tests the understanding of how a fuse works in an electrical circuit. A fuse is a safety device designed to protect electrical circuits from overcurrent. Its primary function is to melt and break the circuit when the current exceeds a certain safe limit, thereby preventing damage to appliances or fire hazards.
Correct Option: C) The fuse will melt if the current exceeds 8A
This statement accurately describes the function of a fuse. When the current in the circuit surpasses the fuse's rated value (8A in this case), the fuse wire will heat up and melt, breaking the circuit and protecting the electrical system.