This question asks us to identify implicit assumptions behind a statement made by a headmistress. We need to analyze the statement and determine what underlying beliefs or intentions must be true for the statement to make sense or be effective.
Correct Option: A) Only I is implicit
The introduction of storytelling sessions is a common method to cultivate a love for stories and reading among children. It is a very direct and logical assumption that the headmistress, by introducing such sessions, intends to encourage children to engage with stories, which includes reading them.
A man has five resistors, each of value \( \frac{1}{5} \) Ω. The value of the maximum resistance obtained by connecting them in series will be:
To obtain the maximum possible resistance from a given set of resistors, they should be connected in series. When resistors are connected in series, their individual resistances add up to give the total equivalent resistance.
To achieve the maximum resistance, the resistors must be connected in series.
When resistors are connected in series, the equivalent resistance \(R_{\text{eq}}\) is the sum of individual resistances:
\[ R_{\text{eq}} = R_1 + R_2 + R_3 + R_4 + R_5 \]Since all resistors have the same value, this can be simplified to:
\[ R_{\text{eq}} = n \times R \]Substitute the given values into the formula:
\[ R_{\text{eq}} = 5 \times \frac{1}{5} \ \Omega \] \[ R_{\text{eq}} = 1 \ \Omega \]Correct Option: D) 1 Ω
The question asks to identify the common name for the elements in Group 18 of the periodic table. This requires knowledge of the periodic table's group classifications.
Correct Option: B) Noble gases
The problem asks us to find the next letter in a given series. This is a common type of question in competitive exams that tests pattern recognition and logical reasoning. We need to identify the rule or pattern governing the sequence of letters.
A) W is the correct option because, following the alternating pattern of +4 and +3 in letter positions, the letter after T (20th position) should be the 23rd letter, which is W.
The question asks to identify the youngest girl in the world to have successfully climbed both Mount Everest and Mount Elbrus. This requires knowledge of notable mountaineering achievements and the individuals associated with them.
Correct Option: B) Malavath Poorna
What is the momentum of an object of mass \( \frac{m}{2} \) moving with a velocity of 2v?
To find the momentum of an object, we use the fundamental formula for momentum, which is the product of its mass and velocity. We will substitute the given values of mass and velocity into this formula.
Momentum (\(p\)) is defined as the product of an object's mass (\(m\)) and its velocity (\(v\)).
\[ p = m \times v \]Let the new momentum be \(p'\).
\[ p' = m' \times v' \] \[ p' = \left( \frac{m}{2} \right) \times (2v) \]The '2' in the numerator and the '2' in the denominator cancel each other out.
\[ p' = mv \]Correct Option: D) mv
The question asks to identify the Indian chess master who won the 2018 Tal Memorial Rapid Chess tournament in Moscow. This is a factual question related to sports achievements, specifically in chess.
In 2018, the legendary Indian Grandmaster Viswanathan Anand won the Tal Memorial Rapid Chess tournament held in Moscow.
D) Viswanathan Anand — Viswanathan Anand, often referred to as "Vishy," is a five-time World Chess Champion and one of India's most celebrated athletes. He won the 2018 Tal Memorial Rapid Chess tournament in Moscow, defeating Hikaru Nakamura in the final.
This problem involves tracking movement in different directions and calculating the final displacement from the starting point. We can visualize the path taken by Nikita and then use geometry to find the shortest distance between the start and end points.
Point C is 1 km North of O. Point D is 2 km South of C. Therefore, the distance of D from O is the difference between the southward movement from C and the northward position of C from O.
\[ \text{Distance from O} = \text{Distance (C to D)} - \text{Distance (O to C)} \]\[ \text{Distance from O} = 2 \text{ km} - 1 \text{ km} \]\[ \text{Distance from O} = 1 \text{ km} \]So, Nikita is 1 km South of her starting point.
A) 1 km is the correct distance from her starting point.
Choose the best suitable Venn diagram for the following classes:
Pen, Computer, Paper
To determine the best Venn diagram for the classes 'Pen', 'Computer', and 'Paper', we need to assess their relationships. These items are distinct and do not overlap in function or category.
Correct Option: B) Three separate circles representing Pen, Computer, and Paper.
This problem involves setting up and solving a system of linear equations based on the given ratios of ages at two different points in time. We will use a variable to represent a common multiplier for the initial ratio and then form an equation using the future ratio.
Let the present age of Naresh be \(N\) and the present age of Suparna be \(S\).
According to the problem, the ratio of their present ages is \(7:3\). So, we can write:
\[ \frac{N}{S} = \frac{7}{3} \]This implies that we can express their present ages in terms of a common multiplier, say \(x\). So,
\[ N = 7x \]\[ S = 3x \]Three years from now, their ages will be \(N+3\) and \(S+3\).
The ratio of their ages three years from now will be \(2:1\). So,
\[ \frac{N+3}{S+3} = \frac{2}{1} \]Substitute the expressions for \(N\) and \(S\) from step 3 into the equation from step 5:
\[ \frac{7x+3}{3x+3} = \frac{2}{1} \]Cross-multiply to solve for \(x\):
\[ 1 \times (7x+3) = 2 \times (3x+3) \]\[ 7x+3 = 6x+6 \]Rearrange the terms to find \(x\):
\[ 7x - 6x = 6 - 3 \]\[ x = 3 \]The question asks for the current age of Naresh. Using the expression from step 3:
\[ N = 7x \]\[ N = 7 \times 3 \]\[ N = 21 \]C) 21 years. This is the current age of Naresh calculated from the given ratios.
