The question asks about the number of electrons in the outermost shell of noble gases, excluding helium. This requires knowledge of the electron configurations and properties of noble gases.
C) 8 — All noble gases (Neon, Argon, Krypton, Xenon, Radon, Oganesson) except helium have 8 electrons in their outermost electron shell, which is known as a stable octet configuration.
The question asks to identify the film actress who received the PETA 'Person of the Year' award in 2017. This is a factual recall question related to awards and celebrity recognition for animal welfare.
Correct Option: B) Anushka Sharma was named PETA India's 'Person of the Year' for 2017. She was recognized for her animal advocacy efforts, including promoting animal-friendly fashion and speaking out against animal cruelty.
The question asks to identify an analogous word pair based on the relationship presented in the given pair: "People : Person". This relationship is one of plural to singular. We need to find an option where the first word is the plural form and the second word is the singular form of the same noun.
Correct Option: B) Cacti : Cactus
The relationship in the given pair "People : Person" is Plural : Singular. In option B, "Cacti" is the plural form of "Cactus", establishing the same Plural : Singular relationship.
The question asks to determine which of the natural numbers A, B, C, D, and E are odd. We need to evaluate if the given statements (individually or together) provide enough information to answer this specific question. This is a data sufficiency problem.
A) Neither 1 nor 2 is sufficient to answer the given question. As shown in the step-by-step analysis, neither statement alone, nor both statements together, provide enough information to determine the parity of A, B, C, D, and E.
The shuttlecock is composed of a frustum of a cone and a hemisphere. To find the external surface area, we need to calculate the curved surface area of the frustum and the curved surface area of the hemisphere, and then sum them up. We must be careful not to include the circular base of the frustum that is attached to the hemisphere, nor the top circular surface of the hemisphere.
Since the radius of the hemisphere is \(r = 1\) cm, its height is also 1 cm.
Height of frustum (\(h\)) = Total height - Height of hemisphere
\[ h = 7 \text{ cm} - 1 \text{ cm} = 6 \text{ cm} \]The formula for the slant height of a frustum is:
\[ l = \sqrt{h^2 + (R - r)^2} \]\[ l = \sqrt{6^2 + (2.5 - 1)^2} \]\[ l = \sqrt{36 + (1.5)^2} \]\[ l = \sqrt{36 + 2.25} \]\[ l = \sqrt{38.25} \]\[ l \approx 6.185 \text{ cm} \]The formula for the curved surface area of a frustum is:
\[ CSA_{frustum} = \pi (R + r) l \]\[ CSA_{frustum} = \pi (2.5 + 1) (6.185) \]\[ CSA_{frustum} = \pi (3.5) (6.185) \]\[ CSA_{frustum} \approx 3.14159 \times 3.5 \times 6.185 \]\[ CSA_{frustum} \approx 67.96 \text{ cm}^2 \]The formula for the curved surface area of a hemisphere is:
\[ CSA_{hemisphere} = 2 \pi r^2 \]\[ CSA_{hemisphere} = 2 \pi (1)^2 \]\[ CSA_{hemisphere} = 2 \pi \]\[ CSA_{hemisphere} \approx 2 \times 3.14159 \times 1 \]\[ CSA_{hemisphere} \approx 6.28 \text{ cm}^2 \]Total external surface area = \(CSA_{frustum} + CSA_{hemisphere}\)
\[ \text{Total Area} = 67.96 \text{ cm}^2 + 6.28 \text{ cm}^2 \]\[ \text{Total Area} = 74.24 \text{ cm}^2 \]The calculated value \(74.24 \text{ cm}^2\) is closest to 74.29 cm².
B) 74.29 cm² is the correct answer. The slight difference is due to rounding \(\pi\) and the slant height \(l\).
The problem asks us to count the number of '8's in a given series that satisfy two conditions simultaneously: the '8' must not be divisible by the number immediately to its left, AND it must be completely divisible by the number immediately to its right. We will systematically scan the series, identify each '8', and then check if it meets both criteria.
B) 1 — As per the step-by-step analysis, only one '8' in the series meets both specified conditions.
To solve this problem, we first need to find the original Cost Price (CP) of the item. We are given the Selling Price (SP) with a 10% profit. Once the CP is known, we can calculate the percentage loss if the item were sold at a different price.
We know that the selling price (SP) inclusive of a 10% profit was ₹ 440.
If CP is \(x\), then SP with 10% profit is \(x + 0.10x = 1.10x\).
Given \(\text{SP} = \text{₹} 440\).
\[ 1.10x = 440 \]\[ x = \frac{440}{1.10} \]\[ x = \frac{4400}{11} \]\[ x = 400 \]Therefore, the Cost Price (CP) of the item is ₹ 400.If the item was sold for ₹ 370, and the CP is ₹ 400, there is a loss.
Loss = \(\text{CP} - \text{New SP}\)
Loss = \(400 - 370 = \text{₹} 30\).
Percentage Loss is calculated with respect to the Cost Price.
\[ \text{Percentage Loss} = \left( \frac{\text{Loss}}{\text{CP}} \right) \times 100\% \]\[ \text{Percentage Loss} = \left( \frac{30}{400} \right) \times 100\% \]\[ \text{Percentage Loss} = \left( \frac{3}{40} \right) \times 100\% \]\[ \text{Percentage Loss} = \frac{300}{40}\% \]\[ \text{Percentage Loss} = \frac{30}{4}\% \]\[ \text{Percentage Loss} = 7.5\% \]B) 7.5 — The calculated percentage loss is 7.5%.
The question asks to identify the sport in which Indian athlete Neeraj Chopra won a gold medal at a World Athletics Championship, making him the first Indian to achieve this feat. This is a general knowledge question related to sports achievements.
Correct Option: B) Javelin throw
Neeraj Chopra made history by winning the gold medal in the men's javelin throw event at the 2023 World Athletics Championships in Budapest. This was a landmark achievement as it was India's first-ever gold medal at the World Athletics Championships.
To solve this problem, we need to follow the order of operations, often remembered by the acronym BODMAS/PEMDAS. This means we perform Division and Multiplication before Addition and Subtraction.
B) 464 is the correct answer, as derived by following the order of operations.
The question asks for the term that describes the tendency of an object to resist changes in its state of motion (either rest or uniform velocity). This is a fundamental concept in physics, specifically Newton's First Law of Motion.
Correct Option: D) inertia
Inertia is precisely the property of an object that causes it to resist changes in its state of motion. An object at rest tends to stay at rest, and an object in motion tends to stay in motion with the same velocity, unless acted upon by an external force. This is a direct definition of inertia.