To find the total number of girls in the row, we can use the formula that relates a person's position from both ends of a row to the total number of people. When a person's position from both the left and right (or any two extremes) is known, the total number of people in the row is the sum of their positions from both ends minus one (because the person themselves is counted twice).
Thus, there are 10 girls in the row.
Correct Option: C) 10
The question asks for the scale used to measure hydrogen ion concentration in a solution. This is a fundamental concept in chemistry, particularly related to acids and bases. We need to identify the correct term for this measurement scale.
Correct Option: A) pH scale — This scale is specifically designed to measure the hydrogen ion concentration in a solution, indicating its acidity or alkalinity.
This is a blood relation problem. To solve it, we need to break down the statement into smaller parts and identify the relationships step-by-step, starting from the speaker's perspective or a key reference point.
Correct Option: D) Paternal Aunt
The question asks to identify the type of forests in India where trees like Tendu, Amaltas, and Bel are commonly found. This requires knowledge of the characteristic flora associated with different forest types in India.
Correct Option: B) Dry deciduous forests are characterized by trees like Tendu, Amaltas, and Bel. These forests are found in areas receiving 70-100 cm of rainfall and experience a prolonged dry season, causing trees to shed their leaves.
To find the time taken for a train to cross a bridge, we need to calculate the total distance the train travels and then use the formula: Time = Distance / Speed. The total distance is the sum of the train's length and the bridge's length. The speed must be converted to consistent units (meters per second).
When a train crosses a bridge, the total distance it must travel is its own length plus the length of the bridge.
\[ \text{Total Distance} (D) = L_T + L_B \ D = 600 \text{ m} + 200 \text{ m} \ D = 800 \text{ m} \]To convert km/h to m/s, multiply by \(\frac{5}{18}\).
\[ \text{Speed} (S) = 72 \text{ km/h} \ S = 72 \times \frac{5}{18} \text{ m/s} \ S = 4 \times 5 \text{ m/s} \ S = 20 \text{ m/s} \]Using the formula Time = Distance / Speed:
\[ \text{Time} (T) = \frac{D}{S} \ T = \frac{800 \text{ m}}{20 \text{ m/s}} \ T = 40 \text{ s} \]Correct Option: D) 40 s
To find the median of a set of numbers, we first need to arrange the numbers in ascending or descending order. Once ordered, the median is the middle value if the count of numbers is odd. If the count is even, the median is the average of the two middle values.
13, 14, 14, 15, 16, 17, 17, 17, 22
Here, \(n = 9\). So, the median is at the \[\left(\frac{9+1}{2}\right)^{\text{th}} = \left(\frac{10}{2}\right)^{\text{th}} = 5^{\text{th}}\] position.
Therefore, the median of the given set of numbers is 16.
A) 16 is the correct median as it is the middle value after arranging the numbers in ascending order.
To solve this problem, we need to follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This means we perform operations in the following order: Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), and Addition and Subtraction (from left to right).
Thus, the value of the expression is 17.
Correct Option: B) 17
The problem states that a number exceeds 25% of itself by 60. We need to find this number. We can set up an algebraic equation to represent this relationship and then solve for the unknown number.
Correct Option: B) 80
The question asks to identify a Mughal monument designed by Ustad Ahmed Lahori and declared a UNESCO World Heritage site in 1983. We need to recall the architects and UNESCO status of the given options.
Correct Option: B) Taj Mahal
The Taj Mahal, located in Agra, India, is an ivory-white marble mausoleum built by the Mughal emperor Shah Jahan in memory of his wife Mumtaz Mahal. Ustad Ahmed Lahori is considered its principal designer. It was inscribed as a UNESCO World Heritage site in 1983, recognized as "the jewel of Muslim art in India and one of the universally admired masterpieces of the world's heritage."
Four fractions have been given, out of which three are alike in some manner and one is different. Select the one that is different from the rest.
\(\frac{62}{15}\)
\(\frac{49}{12}\)
\(\frac{65}{16}\)
\(\frac{37}{9}\)
To find the fraction that is different, we need to identify a common pattern or property among three of the fractions and then find the one that does not follow this pattern. A common approach for such problems is to convert improper fractions to mixed fractions or decimal values, or to look for relationships between the numerator and the denominator.
Let's convert each fraction into a mixed fraction:
Upon converting to mixed fractions, we observe a pattern:
Therefore, option A is different from the rest.
A) \(\frac{62}{15}\) is the different fraction because when \(62\) is divided by \(15\), the remainder is \(2\), whereas for the other three options, the remainder is \(1\) when the numerator is divided by the denominator.