The question asks for the correct name of a specific grant-in-aid scheme under the Tribal Sub Plan that focuses on improving the living conditions and empowerment of Scheduled Tribes through science and technology (S&T) activities. This requires knowledge of government schemes related to tribal development.
D) Technological Interventions for Tribal Empowerment (TITE) is the correct name of the grant-in-aid scheme under the Tribal Sub Plan that aims at improving living conditions and empowerment of Scheduled Tribes based on sustainable science and technology (S&T) activities/applications. This scheme is implemented by the Ministry of Tribal Affairs.
If 1 is added to each even digit and 2 is subtracted from each odd digit in the number 38572352, what will be the sum of the digits which are second from the left and fourth from the right in the number thus formed?
The problem requires us to modify a given number based on specific rules for its even and odd digits. Then, we need to identify two specific digits in the newly formed number and calculate their sum.
Original Number: The given number is 38572352.
Apply Rules to Digits:
Let's apply these rules digit by digit:
The new number formed is 19353133.
Identify the required digits in the new number:
Calculate the sum:
Sum of the identified digits = \(9 + 3 = 12\).
D) 12 is the correct sum of the second digit from the left (9) and the fourth digit from the right (3) in the newly formed number.
The question asks for the most effective solution to reduce waste production. This relates to the waste management hierarchy, often represented by the "3 Rs" (Reduce, Reuse, Recycle) and sometimes expanded to "5 Rs" (Refuse, Reduce, Reuse, Recycle, Rot/Compost). The effectiveness of these strategies is generally ranked, with prevention at the top.
A) Refuse is the most effective solution because it prevents waste from being produced in the first place. By refusing unnecessary items, single-use plastics, or products with excessive packaging, one directly eliminates the potential for that item to become waste. This is at the top of the waste management hierarchy, as it avoids resource consumption and pollution associated with production, use, and disposal.
This question is based on profit and loss. The shopkeeper buys two articles for a total of Rs. 2,540. Article A is sold at a gain of 15%, while article B is sold at a loss of 25%. The selling price of A is 10% more than the selling price of B. We need to calculate the overall profit or loss percentage.
Let the selling price of article B be Rs. 100x.
Then the selling price of article A is Rs. 110x.
Therefore:
SP(A) : SP(B) = 110 : 100 = 11 : 10
Article A is sold at a gain of 15%.
SP(A) = CP(A) × 115/100
Therefore:
CP(A) = 110x × 100/115
CP(A) = 2200x/23
Article B is sold at a loss of 25%.
SP(B) = CP(B) × 75/100
Therefore:
CP(B) = 100x × 100/75
CP(B) = 400x/3
Total CP = 2200x/23 + 400x/3
Taking the common denominator:
Total CP = (6600x + 9200x)/69
Total CP = 15800x/69
Since the actual total cost price is Rs. 2,540:
15800x/69 = 2540
Therefore:
x = (2540 × 69)/15800
Total SP = 110x + 100x = 210x
Total CP = 15800x/69
Since the total selling price is less than the total cost price, the shopkeeper incurs a loss.
Loss percentage = [(Total CP - Total SP)/Total CP] × 100
= [(15800x/69 - 210x)/(15800x/69)] × 100
= [(15800 - 14490)/15800] × 100
= (1310/15800) × 100
= 8.2911...%
Rounded to one decimal place:
Overall loss = 8.3%
Correct Option: C) Loss, 8.3%
The total selling price is less than the total cost price. The overall loss percentage is approximately 8.2911%, which rounds to 8.3% to one decimal place. Therefore, the correct option is C) Loss, 8.3%.
This problem involves Mendelian genetics, specifically a monohybrid cross. We need to determine the genotypes of the parent plants, the F1 generation, and then the F2 generation after self-pollination. The phenotypic ratio of the F2 generation will help us calculate the number of green-coloured peas.
B) Around 125. Based on the Mendelian monohybrid cross, approximately 1/4 of the F2 generation will exhibit the recessive trait (green colour).
Simplify the given expression:
(y−z)3+(z−x)3+(x−y)3
3(x−y)(y−z)(x−z)
3(x−y)(y−z)(z+x)
(x−y)(y−z)(z−x)
3(x−y)(y−z)(z−x)
The problem asks us to simplify the algebraic expression \((y-z)^3 + (z-x)^3 + (x-y)^3\). This can be solved by recognizing a specific algebraic identity related to the sum of cubes.
Let \(A = y-z\), \(B = z-x\), and \(C = x-y\).
First, let's find the sum \(A+B+C\):
\[ A+B+C = (y-z) + (z-x) + (x-y) \]\[ A+B+C = y-z+z-x+x-y \]\[ A+B+C = (y-y) + (-z+z) + (-x+x) \]\[ A+B+C = 0+0+0 \]\[ A+B+C = 0 \]We know a special algebraic identity: If \(A+B+C = 0\), then \(A^3 + B^3 + C^3 = 3ABC\).
Since we found that \(A+B+C = 0\) for our given terms, we can apply this identity:
\[ (y-z)^3 + (z-x)^3 + (x-y)^3 = 3(y-z)(z-x)(x-y) \]Comparing this result with the given options, we can see which one matches.
D) The simplified expression is \(3(x-y)(y-z)(z-x)\). Our derived expression is \(3(y-z)(z-x)(x-y)\). Since multiplication is commutative, these are equivalent. Thus, option D is correct.
To find the percentage increase in pay, we first need to calculate the actual increase in pay. Then, we divide this increase by the original pay and multiply by 100 to express it as a percentage.
Correct Option: B) 16%
The question asks to identify the statement that is NOT necessarily true regarding the properties of diagonals in different quadrilaterals. We need to recall the definitions and properties of parallelograms, rectangles, kites, and rhombuses.
C) The diagonals of a kite bisect each other. This statement is NOT necessarily true. In a kite, only one diagonal (the longer one) bisects the other (the shorter one). The shorter diagonal does not bisect the longer one unless the kite is also a rhombus (which is a special case of a kite where all sides are equal, making it a square if angles are \(90^\circ\)).
If ‘−’ means ‘+’, ‘+’ means ‘×’, ‘×’ means ‘÷’, and ‘÷’ means ‘−’, what will come in place of the question mark (?) in the following equation?
3 ÷ 8 × 2 + 1 − 5 =?
This problem involves symbol substitution and then evaluating the resulting arithmetic expression. We need to replace the given mathematical symbols with their new meanings and then apply the order of operations (BODMAS/PEMDAS) to find the correct answer.
The original equation is: \(3 \div 8 \times 2 + 1 - 5 = ?\)
Applying the symbol changes:
So, the new equation is: \(3 - 8 \div 2 \times 1 + 5 = ?\)
BODMAS stands for Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction. Operations of the same precedence (like division and multiplication, or addition and subtraction) are performed from left to right.
The equation is: \(3 - 8 \div 2 \times 1 + 5\)
First, perform Division:
\[ 8 \div 2 = 4 \]The equation becomes: \(3 - 4 \times 1 + 5\)
Next, perform Multiplication:
\[ 4 \times 1 = 4 \]The equation becomes: \(3 - 4 + 5\)
Finally, perform Addition and Subtraction from left to right:
\[ 3 - 4 = -1 \]The equation becomes: \(-1 + 5\)
\[ -1 + 5 = 4 \]B) 4 is the correct answer after applying the symbol changes and following the order of operations.
A combination reaction is a type of chemical reaction in which two or more reactants combine to form a single product. We need to analyze each given reaction to determine if it fits this definition.
Based on the analysis, reactions (ii) and (iii) are combination reactions.
A) ii and iii are the reactions that represent combination reactions, as they involve two or more reactants combining to form a single product.