The problem requires us to interchange two mathematical operators in the given incorrect equation to make it balanced. We need to test each option by substituting the operators and then evaluating the expression using the BODMAS/PEMDAS rule.
The given equation is: \(16 - 24 \times 2 \div 10 + 104 = 0\)
Let's test each option:
A) When \(\div\) and \(\times\) are interchanged, the equation becomes \(16 - 24 \div 2 \times 10 + 104\). Evaluating this gives:
\[ 16 - 12 \times 10 + 104 \]\[ 16 - 120 + 104 \]\[ -104 + 104 = 0 \]This balances the equation.
The question asks for the minimum number of nurses needed by the hospital. We need to determine which statements provide enough information to calculate this number. The minimum number of nurses depends on the hospital's operational requirements, such as the number of shifts, the number of wards, and the nurse-to-patient/ward ratio per shift.
Using this information, we can calculate the total number of nurses needed:
\[ \text{Nurses per shift} = \text{Number of wards} \times \text{Nurses per ward per shift} \]\[ \text{Nurses per shift} = 13 \times 2 = 26 \text{ nurses} \]
Since there are 3 shifts, and assuming different nurses are needed for each shift to cover the 24-hour period, the total minimum number of nurses required by the hospital would be:
\[ \text{Total nurses} = \text{Nurses per shift} \times \text{Number of shifts} \]
\[ \text{Total nurses} = 26 \times 3 = 78 \text{ nurses} \]
Since we can calculate a definitive number using Statements I and II, these two statements together are sufficient to answer the question.
D) Both statements I and II are sufficient. As shown in the step-by-step analysis, combining the information from Statement I (number of shifts) and Statement II (number of wards and nurses per ward per shift) allows for the direct calculation of the total minimum number of nurses required by the hospital.
The question asks to complete an analogy. The first part of the analogy, "Rice : Carbohydrate", establishes a relationship where the food item (Rice) is primarily known for a specific nutrient (Carbohydrate). We need to find a nutrient that Sprouts are primarily known for to complete the second part of the analogy.
B) Protein — Sprouts, particularly legume sprouts, are an excellent source of plant-based protein. The sprouting process enhances their nutritional value, including protein content, making them a popular choice for health-conscious individuals and vegetarians/vegans. Therefore, just as rice is primarily associated with carbohydrates, sprouts are primarily associated with protein.
The question asks for the full form of the acronym WWF. This is a general knowledge question related to international organizations and their common abbreviations. Recalling the full name of the prominent conservation organization WWF is key to answering this question.
Correct Option: C) World Wildlife Fund
The acronym WWF primarily stands for the World Wildlife Fund. Although its official name is "World Wide Fund for Nature" since 1986, it continues to operate as "World Wildlife Fund" in the United States and Canada, and this is the name by which it is most commonly known globally, especially in competitive exams.
The question asks to identify the type of scam a 'Ponzi' scheme refers to. This requires knowledge of what a Ponzi scheme is and its primary characteristic.
Correct Option: B) investment
The question asks for the definition of 'absolute zero' in degrees Celsius. Absolute zero is the lowest possible temperature at which a substance has minimum internal energy. This concept is fundamental in thermodynamics and is the starting point of the Kelvin temperature scale.
A) minus 273°C — This is the widely accepted value for absolute zero when expressed in degrees Celsius, derived from the Kelvin scale where 0 K equals -273.15°C, often rounded to -273°C.
The question asks to identify the island that is NOT part of the Lakshadweep archipelago. This requires knowledge of the major islands comprising Lakshadweep and distinguishing them from islands belonging to other Indian island groups.
Correct Option: C) Neil
Neil Island is a part of the Andaman and Nicobar Islands, located in the Bay of Bengal. Lakshadweep, on the other hand, is an archipelago of islands in the Arabian Sea.
To determine which statement is NOT true, we need to establish the relative costs of mangoes, apples, and jackfruits based on the given information. We will assign variables to the cost of each fruit and form equations to find their relationships.
Let \(M\) be the cost of one mango, \(A\) be the cost of one apple, and \(J\) be the cost of one jackfruit.
From the first statement: "The cost of six mangoes is equal to the cost of four apples."
\[ 6M = 4A \]Dividing both sides by 2, we get:
\[ 3M = 2A \]From this, we can express \(M\) in terms of \(A\):
\[ M = \frac{2}{3}A \]Since \(\frac{2}{3} < 1\), it means \(M < A\). So, a mango is cheaper than an apple.
From the second statement: "The cost of eight apples is equal to the cost of two jackfruits."
\[ 8A = 2J \]Dividing both sides by 2, we get:
\[ 4A = J \]This means \(J = 4A\). Since \(4 > 1\), it means \(J > A\). So, a jackfruit is costlier than an apple.
Now let's compare \(M\) and \(J\). We know \(M = \frac{2}{3}A\) and \(J = 4A\).
Clearly, \(J\) is much larger than \(M\).
So, the order of cost from cheapest to costliest is: Mango (\(M\)), Apple (\(A\)), Jackfruit (\(J\)).
Let's evaluate each option:
From \(M = \frac{2}{3}A\), we know \(M < A\). So, a mango is indeed not as costly as an apple (it's cheaper). This statement is TRUE.
From \(J = 4A\), we know \(A < J\). So, an apple is cheaper than a jackfruit. This statement is TRUE.
We established \(M < A\) and \(A < J\). Therefore, \(M < A < J\). This means jackfruit is the costliest. This statement is TRUE.
From \(M = \frac{2}{3}A\), we know \(A > M\). This means an apple IS costlier than a mango. So, the statement "An apple is not as costly as a mango" is FALSE.
Correct Option: D) An apple is not as costly as a mango.
This problem involves work and time, where the efficiency of men and women is given. We need to convert all workers to a single unit (either men or women) to calculate the total work and then determine the time taken for a different group to complete half of that work.
Correct Option: A) 25
The question asks for the approximate duration in days a Russian priest took to fly solo around the world in an air balloon in July 2016, setting a new record. This tests general knowledge about significant world records and events.
B) 11 days. Fedor Konyukhov, a Russian Orthodox priest and adventurer, completed his solo circumnavigation of the world in a hot air balloon in July 2016. He set a new record by completing the journey in 11 days and 6 hours, breaking the previous record of 13 days set by Steve Fossett in 2002.