Which of the following options bears the closest resemblance to the question figure?
Question Figure
Option Figures
To solve this question, we need to identify which option figure closely resembles the question figure. We will analyze the arrangement and orientation of shapes within each figure.
Correct Option: D) The arrangement and orientation of shapes match the question figure.
The question asks to identify the recipient of the National Kalidas Samman award in 2018. This requires knowledge of prominent awards and their recipients in the field of arts and culture in India.
Correct Option: A) Anjolie Ela Menon was awarded the National Kalidas Samman in 2018 for her outstanding contributions to visual arts.
The chemical formula of Iron (III) oxide is _______.
The question asks for the chemical formula of Iron (III) oxide. To determine the correct formula, we need to understand the valencies (oxidation states) of the elements involved and apply the criss-cross method for forming ionic compounds.
Correct Option: D) Fe₂O₃ is the chemical formula for Iron (III) oxide, also known as ferric oxide.
The question asks to identify the "odd man out" from a given list of elements: Si, P, Ge, and As. This type of question usually requires classifying the elements based on their properties or position in the periodic table.
C) P is the odd man out because Silicon (Si), Germanium (Ge), and Arsenic (As) are all metalloids, whereas Phosphorus (P) is a non-metal.
The given sequence is periodic. We need to find the sum of the first 2007 terms. We can identify the repeating pattern, calculate the sum of one cycle, and then determine how many full cycles and remaining terms are present in 2007 terms.
Identify the repeating pattern: The sequence is \(1, 2, 3, 4, 1, 2, 3, 4, \dots\). The repeating block is \((1, 2, 3, 4)\).
Calculate the sum of one repeating block: The sum of one block is \(1 + 2 + 3 + 4 = 10\).
Determine the number of terms in one block: There are 4 terms in each repeating block.
Divide the total number of terms by the block length: We need the sum of 2007 terms. Divide 2007 by 4 to find the number of full blocks and the remaining terms.
\[ 2007 \div 4 \]\[ 2007 = 4 \times 501 + 3 \]This means there are 501 full blocks and 3 remaining terms.Calculate the sum of the full blocks: Since each block sums to 10, the sum of 501 full blocks is:
\[ 501 \times 10 = 5010 \]Identify and sum the remaining terms: The 3 remaining terms are the first three terms of the repeating block, which are \(1, 2, 3\). Their sum is:
\[ 1 + 2 + 3 = 6 \]Calculate the total sum: Add the sum of the full blocks and the sum of the remaining terms.
\[ \text{Total sum} = 5010 + 6 = 5016 \]B) 5016 is the correct sum of the first 2007 terms of the sequence.
Rs 1,125 invested for 3 months gave an interest of Rs 27. What was the simple rate of interest per annum?
This problem requires calculating the simple annual rate of interest given the principal amount, the interest earned, and the time period. We will use the simple interest formula and convert the time from months to years.
Identify the given values:
Convert the time from months to years:
Since the interest rate is required per annum, the time must be expressed in years.
Recall the simple interest formula:
The formula for simple interest is:
Rearrange the formula to solve for the rate (R):
\[ \text{R} = \frac{\text{I} \times 100}{\text{P} \times \text{T}} \]Substitute the values into the formula:
\[ \text{R} = \frac{27 \times 100}{1125 \times \frac{1}{4}} \]Calculate the rate:
\[ \text{R} = \frac{2700}{\frac{1125}{4}} \]\[ \text{R} = \frac{2700 \times 4}{1125} \]\[ \text{R} = \frac{10800}{1125} \]\[ \text{R} = 9.6 \% \]Thus, the simple rate of interest per annum is 9.6%.
Correct Option: B) 9.6%
The question asks to identify the Union Ministry responsible for launching a nationwide training programme for Elected Women Representatives (EWRs) of Panchayats. To answer this, one needs to know which ministry is primarily concerned with the empowerment and development of women, especially in local governance.
Correct Option: C) Ministry of Women and Child Development
Find the odd one out.
To find the odd one out, we need to identify the common characteristic among the symbols and see which one does not fit.
Correct Option: B) The multiplication sign is the odd one out as it represents a different operation compared to the others.
The question asks for the location of 'The Gateway of India'. This is a direct factual question about a prominent landmark in India. Recalling general knowledge about major Indian cities and their famous monuments will help identify the correct location.
Correct Option: D) Mumbai
The Gateway of India is a historic monument located in Mumbai, Maharashtra. It is one of the city's most iconic structures and a major tourist attraction, overlooking the Arabian Sea.
A mobile when sold at a gain of 6% yields Rs 870 more than when it is sold at a loss of 6%. What is the cost price of the mobile phone?
This problem involves calculating the cost price of a mobile phone based on the difference in selling prices when sold at a gain and at a loss. We will set up equations for the selling price in both scenarios and use the given difference to find the cost price.
Let the Cost Price (CP) of the mobile phone be \(P\).
When the mobile is sold at a gain of 6%, the Selling Price (SP1) is:
\[ \text{SP1} = P + 0.06P = 1.06P \]When the mobile is sold at a loss of 6%, the Selling Price (SP2) is:
\[ \text{SP2} = P - 0.06P = 0.94P \]According to the problem, the difference between SP1 and SP2 is Rs 870. So,
\[ \text{SP1} - \text{SP2} = 870 \]Substitute the expressions for SP1 and SP2 into the equation:
\[ 1.06P - 0.94P = 870 \]Simplify the equation:
\[ (1.06 - 0.94)P = 870 \]\[ 0.12P = 870 \]Solve for \(P\):
\[ P = \frac{870}{0.12} \]\[ P = \frac{870}{\frac{12}{100}} \]\[ P = \frac{870 \times 100}{12} \]\[ P = \frac{87000}{12} \]Perform the division:
\[ P = 7250 \]Therefore, the cost price of the mobile phone is Rs 7,250.
Correct Option: A) 7,250