The question asks about the basic concept of Montessori education. To answer this, one needs to understand the core principles and philosophy behind the Montessori method, which emphasizes child-led learning and development.
D) Self-discovery through experiment. This option accurately describes the fundamental principle of Montessori education, where children are given the freedom and tools to explore, experiment, and learn independently, fostering self-reliance and a deep understanding of concepts.
The question asks about Robert Dahl's concept of "polyarchy." To answer this, one needs to understand Dahl's definition and the key characteristics he attributed to this form of government, which he saw as a more realistic and achievable form of democracy.
These features imply that citizens can influence policy through both electoral processes (voting, running for office) and through organized group activities (forming associations, expressing opinions, accessing diverse information).
D) People act both through the electoral system and the group process
Robert Dahl's concept of polyarchy emphasizes that in large, modern states, democracy is best understood as a system where power is dispersed among various groups and institutions. Citizens influence policy not only by voting in elections (electoral system) but also by participating in various interest groups, social movements, and other associations (group process). This dual mechanism ensures that diverse interests can be articulated and represented, preventing any single elite from dominating completely.
(8)\( \frac{2}{3} \) = ?
The problem asks us to evaluate the expression \(8^{\frac{2}{3}}\). This involves understanding fractional exponents. A fractional exponent of the form \(a^{\frac{m}{n}}\) can be interpreted as the \(n\)-th root of \(a\) raised to the power of \(m\), or as the \(n\)-th root of \(a^m\). That is, \(a^{\frac{m}{n}} = (\sqrt[n]{a})^m = \sqrt[n]{a^m}\).
Thus, \(8^{\frac{2}{3}} = 4\).
C) 4 is the correct answer because, as calculated, \(8^{\frac{2}{3}} = 4\).
Ms. Kavitha borrowed Rs.950 at 6% per annum simple interest. What amount will she pay to clear her debt after 4 years?
To find the total amount Ms. Kavitha will pay, we first need to calculate the simple interest accrued over 4 years. Then, we add this interest to the principal amount she borrowed.
Correct Option: C) 1,178
To divide a total amount in a given ratio, first find the sum of the ratio parts. Then, determine the value of one ratio unit by dividing the total amount by the sum of the ratio parts. Finally, multiply this unit value by each part of the ratio to find the respective shares.
The given ratio is 1:5:8:9.
\[ \text{Sum of ratio parts} = 1 + 5 + 8 + 9 = 23 \]The total amount to be divided is Rs. 368.
\[ \text{Value of one ratio unit} = \frac{\text{Total amount}}{\text{Sum of ratio parts}} = \frac{368}{23} \]\[ \text{Value of one ratio unit} = 16 \]Multiply the value of one ratio unit (16) by each part of the ratio.
So, the amounts are Rs. 16, Rs. 80, Rs. 128, and Rs. 144.
C) 16, 80, 128 & 144 — This option correctly lists the amounts calculated by dividing Rs. 368 in the ratio 1:5:8:9.
Which of the following is a probe to the Kuiper belt bodies?
Voyager 1
Van Allen Probe
New Horizons
Pioneer 11
The question asks to identify the space probe specifically designed and sent to study Kuiper Belt Objects. We need to recall the primary missions of the given probes.
C) New Horizons is the correct answer. The New Horizons mission was launched by NASA in 2006 with the primary goal of studying Pluto and its moons, and then continuing on to explore other Kuiper Belt Objects (KBOs). It successfully performed a flyby of Pluto in 2015 and then of Arrokoth (a KBO) in 2019, making it the only probe to directly explore objects in the Kuiper Belt.
This question asks for the scientific principle behind raisins swelling when soaked in water. This phenomenon involves the movement of water across a semi-permeable membrane, driven by differences in solute concentration.
Correct Option: A) Osmosis is the net movement of water molecules across a selectively permeable membrane from a region of higher water concentration (lower solute concentration) to a region of lower water concentration (higher solute concentration).
The question asks for the host city of the 2014 Commonwealth Games. This is a factual question related to major international sporting events. Candidates should recall the venues of recent Commonwealth Games.
Correct Option: D) The 2014 Commonwealth Games were held in Glasgow, Scotland, United Kingdom. This event took place from 23 July to 3 August 2014.
Rotational symmetry refers to the number of times a figure looks exactly the same when rotated around its center by less than 360 degrees. We need to find how many times a rectangle maps onto itself during a full rotation.
C) 2 — A rectangle has rotational symmetry of order 2 because it looks identical to its original position after a 180-degree rotation and again after a 360-degree rotation (which is the starting position).
This problem can be solved by using the fundamental relationship between the product of two numbers, their Least Common Multiple (LCM), and their Highest Common Factor (HCF). The relationship states that for any two positive integers, the product of the numbers is equal to the product of their LCM and HCF.
Correct Option: D) 25