The problem asks for the total weight of 10 cartons of mangoes, given that each carton weighs the same. We need to determine if Statement 1, Statement 2, or both are sufficient to find this total weight. To find the total weight of 10 cartons, we first need to determine the weight of a single carton.
Let \(W\) be the weight of one carton of mangoes in kg.
The question asks for the total weight of 10 cartons, which is \(10W\).
Statement 1 says: "One third of each box’s weight is 12 kg."
Statement 2 says: "Total weight of 6 boxes is 72 kg more than the total weight of 4 boxes."
Both Statement 1 and Statement 2 individually provide enough information to calculate the weight of one carton, and consequently, the total weight of 10 cartons.
Correct Option: D) Either of the statements 1 or 2 is sufficient
This question tests logical reasoning, specifically the ability to identify implicit assumptions from a given statement. An assumption is something taken for granted or accepted as true without proof. We need to analyze what must be true for the Panchayat chief's statement to make sense.
B) Both assumptions I and II are implicit. Both the depletion of water levels and the need for maintenance of water bodies are logical preconditions or contributing factors to an impending "water crisis" as described by the Panchayat chief.
The question asks about the state of matter where particles have the maximum kinetic energy. This relates to the fundamental properties and energy levels of particles in different states of matter.
D) Plasma. Plasma is formed at extremely high temperatures where atoms are ionized, leading to particles (ions and electrons) having very high kinetic energy and moving at extremely high speeds. This makes the kinetic energy of particles in plasma maximum compared to solids, liquids, and gases.
Read the statements and conclusions below.
Statements:
No cats are lions
All lions are majestic animals
Conclusions:
1. All majestic animals are lions
2. Some majestic animals are lions
3. No majestic animal is cat
Which conclusion follows from the statements?
Only conclusion 1 follows
Only conclusion 3 follows
All the conclusions follow
Only conclusion 2 follows
This problem involves analyzing logical statements and conclusions, a common type of question in competitive exams. We will use Venn diagrams to visually represent the relationships described in the statements and then evaluate each conclusion based on these diagrams.
Correct Option: D) Only conclusion 2 follows
The question asks about the purpose of the Government of India's 'rent a roof' policy. This policy is a specific initiative related to a broader national goal. We need to identify which national initiative it supports.
Correct Option: B) To Promote Solar Power Generation
Who won the Golden Glove Award at the 2018 FIFA World Cup event?
Rui Patricio
Hugo Lloris
Thibaut Courtois
Fernando Muslera
The question asks to identify the winner of the Golden Glove Award at the 2018 FIFA World Cup. This requires knowledge of the individual awards given at major sporting events.
Correct Option: C) Thibaut Courtois
The question involves the principle of inclusion and exclusion. We are given the numbers of customers who bought orange, red, and blue dresses. Since some customers bought more than one type of dress, adding the individual counts would count those customers multiple times. We need to subtract the extra counts to determine how many distinct customers bought at least one dress.
Identify the given information:
Calculate the total of the individual counts:
\[ 15+15+20=50 \]This total includes customers who were counted more than once because they bought multiple types of dresses.
Calculate the number of customers who bought exactly two types:
Three customers bought at least two types of dresses, including two customers who bought all three types.
Therefore, the number who bought exactly two types is:
\[ 3-2=1 \]Calculate the extra counts:
A customer who bought exactly two types is counted twice, so one extra count must be removed.
A customer who bought all three types is counted three times, so two extra counts must be removed.
Therefore:
\[ \text{Extra counts}=(1\times1)+(2\times2) \] \[ =1+4=5 \]Calculate the number of distinct customers:
Subtract the extra counts from the total:
\[ 50-5=\boxed{45} \]Therefore, 45 customers bought at least one dress from the store.
Correct Option: D) 45 — The total of the individual counts is 50. Among the three customers who bought at least two types of dresses, two bought all three types, leaving one who bought exactly two types. The total number of extra counts is \(1+4=5\). Subtracting these from 50 gives 45 distinct customers. Hence, Option D is the correct answer.
A) 25: This is incorrect because the correct adjustment for customers counted more than once gives 45 distinct customers, not 25.
B) 39: This is incorrect because the total number of extra counts is 5. Subtracting 5 from 50 gives 45, not 39.
C) 40: This is incorrect because 40 would require subtracting 10 extra counts. However, the given information accounts for only 5 extra counts.
What is the lateral mirror image of LATE?
To determine the lateral mirror image of the word "LATE", we need to visualize how the word would appear if reflected in a vertical mirror placed at its side.
Correct Option: B) "ΓΛ┴Ǝ"
To determine the face value of 'x' such that the number x3208 is divisible by 3, we need to apply the divisibility rule for 3. The divisibility rule states that a number is divisible by 3 if the sum of its digits is divisible by 3.
If \(x = 5\), the number becomes 53208. The sum of its digits is \(5 + 3 + 2 + 0 + 8 = 18\). Since 18 is divisible by 3, the number 53208 is divisible by 3. Therefore, the face value of x can be 5.
The question asks to identify the State Election Commission that decided to print voter lists in Urdu in January 2017. This requires knowledge of specific decisions made by various State Election Commissions around that time.
Correct Option: D) Uttar Pradesh