If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, and ‘÷’ means ‘×’, what will come in place of the question mark (?) in the following equation?
42 − 7 + 1 ÷ 2 × 35 = ?
This problem involves applying a set of given symbol transformations to a mathematical expression and then evaluating the resulting expression using the standard order of operations (BODMAS/PEMDAS).
The original equation is: \(42 - 7 + 1 \div 2 \times 35 = ?\)
Applying the transformations:
So, the new equation is:
\[ 42 \div 7 - 1 \times 2 + 35 = ? \]BODMAS/PEMDAS stands for Brackets/Parentheses, Orders/Exponents, Division, Multiplication, Addition, Subtraction. Operations are performed from left to right for Division/Multiplication and for Addition/Subtraction.
First, perform Division and Multiplication from left to right:
Division: \(42 \div 7 = 6\)
The equation becomes:
\[ 6 - 1 \times 2 + 35 \]Multiplication: \(1 \times 2 = 2\)
The equation becomes:
\[ 6 - 2 + 35 \]Next, perform Addition and Subtraction from left to right:
Subtraction: \(6 - 2 = 4\)
The equation becomes:
\[ 4 + 35 \]Addition: \(4 + 35 = 39\)
B) 39 — After correctly applying the symbol transformations and following the order of operations (BODMAS/PEMDAS), the expression evaluates to 39.
The 11th Schedule of the Indian Constitution was added in 1992 by the ________ Constitution Amendment Act.
The question asks to identify the Constitution Amendment Act responsible for adding the 11th Schedule to the Indian Constitution in 1992. This requires knowledge of significant constitutional amendments related to local self-governance.
D) 73rd — The 73rd Constitution Amendment Act of 1992 gave constitutional status to Panchayati Raj institutions and added the 11th Schedule, which enumerates 29 functional items for Panchayats.
To find the selling price per kg to earn a 30% profit, we first need to calculate the total cost price of the mixed wheat. This involves finding the total cost of each type of wheat and then summing them up to get the total cost for the total quantity of wheat. Once the total cost price is known, we can calculate the cost price per kg of the mixture. Finally, we apply the 30% profit margin to this cost price per kg to find the required selling price per kg.
Quantity of first wheat = \(30 \text{ kg}\)
Cost per kg of first wheat = \(\text{Rs } 13.65\)
\[ \text{Cost}_1 = 30 \times 13.65 = \text{Rs } 409.50 \]Quantity of second wheat = \(20 \text{ kg}\)
Cost per kg of second wheat = \(\text{Rs } 18.15\)
\[ \text{Cost}_2 = 20 \times 18.15 = \text{Rs } 363.00 \]To earn 30% profit, the selling price (SP) should be 130% of the cost price.
\[ \text{SP per kg} = \text{CP per kg} \times \left(1 + \frac{30}{100}\right) \]\[ \text{SP per kg} = 15.45 \times 1.30 \]\[ \text{SP per kg} = \text{Rs } 20.085 \]Rounding \(20.085\) to the nearest rupee gives \(\text{Rs } 20\).
Correct Option: C) 20
The calculated selling price per kg to earn a 30% profit is Rs 20.085, which rounds to Rs 20.
The following pie-chart shows the population distribution in different States in 2019.
Study the following pie-chart and answer the question based on it.
If the total population of the given states is 44,94,000, and the male-female ratio is 3 : 2 in UP, what was the number of males in UP in the year 2019?
To find the number of males in UP, we need to calculate the population of UP using the pie-chart and then apply the given male-female ratio.
Correct Option: C) 8,35,884
The question asks about the intersection of two parallel lines. To answer this, we need to recall the definition of parallel lines in geometry.
Correct Option: D) no point
Parallel lines, by definition, never intersect. Thus, they do not share any common points.
The question asks to identify the Indian cricketer who surpassed Kapil Dev's record for the highest individual score while batting at number 7 or lower in Test cricket. This requires knowledge of significant Test cricket records and recent performances by Indian players.
D) Ravindra Jadeja — Ravindra Jadeja scored an unbeaten 175 against Sri Lanka in Mohali in March 2022. He batted at number 7 in that innings, thereby breaking Kapil Dev's 36-year-old record for the highest score by an Indian batsman at number 7 or lower in Test cricket.
The question asks to identify the type of workshop named 'Paanumrsh 2022' launched by the Minister of State for Culture and Parliamentary Affairs in Bikaner. This requires knowledge of current affairs related to government initiatives and events.
Correct Option: A) career counselling
The 'Paanumrsh 2022' workshop was specifically designed as a career counselling event to guide students towards careers in museology and archaeology, fields often overlooked but crucial for cultural preservation.
The question asks for the year when the Essential Defence Services Act was passed. This is a factual question related to Indian legislation. To answer this, one needs to recall the specific year of enactment for this particular Act.
Correct Option: A) 2021
By selling an article at \( \frac{7}{12} \) of its actual selling price, Manav incurs a loss of 16%. If he sells it at 80% of its actual selling price, then the profit percentage is:
We are given information about a loss incurred when an article is sold at a fraction of its actual selling price. We need to find the profit percentage if it is sold at a different percentage of its actual selling price. We will use the concepts of Cost Price (CP), Selling Price (SP), loss percentage, and profit percentage.
Correct Option: C) 15.2 %
In a question, groups of numbers/letters are written in their corresponding codes. Then, based on the given conditions, the letters are used to form the final answer.
The following numbers are replaced by their respective letters:
| Number/Digit | 2 | 5 | 8 | 1 | 4 | 7 | 3 | 6 | 9 |
| Code | A | S | D | G | H | J | K | L | R |
Conditions:
1. If the 2nd and last digits are odd, both are replaced with L.
2. If the first digit is odd and the last digit is even, both are replaced with H.
What will be the correct code for 654783?
The problem requires us to encode a given number based on a provided mapping of digits to letters and then apply specific conditions to modify the encoded string. We need to first convert each digit of the number into its corresponding letter and then check if any of the given conditions apply to the resulting code.
B) LLHJDL is the correct code because after converting the digits to letters and applying Condition 1 (as both the 2nd and last digits are odd), the 2nd and last letters are replaced by 'L', resulting in LLHJDL.