To multiply decimal numbers, we first multiply them as whole numbers, ignoring the decimal points. Then, we count the total number of decimal places in the original numbers and place the decimal point in the product accordingly.
The product is \(14.65552\).
A) \(14.65552\) is the correct product obtained by multiplying \(121.12\) by \(0.121\).
Identify the water harvesting structure shown below.
This question involves identifying a traditional water harvesting structure based on the given diagram. Understanding the key features of each option will help in selecting the correct answer.
Correct Option: A) Khadin System
To find the Compound Interest (CI), we can first calculate the Amount (A) using the compound interest formula and then subtract the Principal (P) from it. Alternatively, we can calculate the interest for each year separately and add them up.
The formula for the amount \(A\) when interest is compounded yearly is:
\[ A = P \left(1 + \frac{R}{100}\right)^n \]Compound Interest (\(CI\)) = Amount (\(A\)) - Principal (\(P\))
\[ CI = A - P \] \[ CI = 11897.60 - 11000 \] \[ CI = 897.60 \]To solve this problem, we need to compare the position of each letter in the original word with its position after the letters are arranged in alphabetical order. We will list the original word, then sort its letters alphabetically, and finally, compare the positions to find letters that remain unchanged.
The given word is 'CONFIRM'.
C O N F I R M
1 2 3 4 5 6 7
The letters are C, O, N, F, I, R, M.
Arranging them alphabetically gives: C, F, I, M, N, O, R.
C F I M N O R
1 2 3 4 5 6 7
Only the letter 'C' at position 1 remained in the same position.
Therefore, only one letter's position remained unchanged.
Correct Option: B) One
The letter 'C' is the only letter that maintains its position when the letters of 'CONFIRM' are arranged alphabetically.
This problem involves tracking movements in different directions. We need to visualize Aditya's path and determine his final position relative to his starting point. We can use a coordinate system or simply draw the path to find the net displacement and direction.
B) 20 m, East. As calculated in the step-by-step analysis, point X is 20 m to the east of point Y.
Which was the theme state in the 35th Surajkund Crafts Fair held in March-April 2022?
The question asks for the theme state of the 35th Surajkund Crafts Fair held in March-April 2022. This is a factual question related to current affairs and general knowledge about cultural events in India. Identifying the correct theme state requires recalling specific details about the event.
Correct Option: C) Jammu and Kashmir was the theme state for the 35th Surajkund Crafts Fair held in March-April 2022. This choice aimed to showcase the rich cultural heritage and crafts of the region.
To determine the number of electrons in the outermost shell of Oxygen, we need to recall its atomic number and then write its electronic configuration based on Bohr's model or the Aufbau principle. The atomic number tells us the total number of electrons in a neutral atom, and the electronic configuration distributes these electrons into different shells (K, L, M, etc.).
B) 6, L — Oxygen has 6 electrons in its outermost L shell.
To simplify the given algebraic expression, we need to combine like terms. Like terms are terms that have the same variables raised to the same powers. We will group the terms with \(x^3\), \(x^2\), \(x\), and constant terms separately and then perform the indicated operations.
\(x^3 - 3x^2 + 9x - 12 - x^3 - 7x^2 - 8x - 16\)
Identify terms with \(x^3\), \(x^2\), \(x\), and constant terms.
Perform the addition or subtraction for each group of like terms.
Combine the results from step 3.
\(0 - 10x^2 + x - 28 = -10x^2 + x - 28\)
C) \(-10x^2 + x - 28\) is the correct simplification of the given expression.
The question asks to identify the blood group known as the 'Universal Donor'. This concept is fundamental to understanding blood transfusions and is based on the presence or absence of specific antigens on red blood cells and antibodies in the plasma.
B) O is correct because individuals with blood group O have red blood cells that lack both A and B antigens. This means their red blood cells will not be recognized as foreign by the antibodies present in the plasma of recipients with A, B, or AB blood types, making it safe for transfusion to any ABO blood group.
The question asks about the total number of Fundamental Duties in the Indian Constitution. This is a direct factual question related to the Indian Polity section of competitive exams. One needs to recall the provisions related to Fundamental Duties.
Correct Option: B) 11. There are currently 11 Fundamental Duties in the Indian Constitution, listed under Article 51A in Part IV A.