The question asks to identify the legal advisor to the State Government. This requires knowledge of the constitutional positions and their roles in the Indian legal system, specifically distinguishing between central and state-level legal authorities.
Correct Option: D) Advocate-General
The Advocate-General is the highest law officer in the state. Article 165 of the Indian Constitution provides for the appointment of the Advocate-General for each state. The Governor appoints a person who is qualified to be appointed as a Judge of a High Court to be the Advocate-General for the State. The Advocate-General's duty is to give advice to the State Government upon such legal matters, and to perform such other duties of a legal character, as may from time to time be referred or assigned to him by the Governor.
The refractive index of a given transparent medium is 1.5. What will be the speed of light in that medium?
2 × 108 m/sec
4.5 × 108 m/sec
3 × 108 m/sec
0.5 × 108 m/sec
The problem asks us to calculate the speed of light in a transparent medium given its refractive index. We will use the fundamental formula relating the refractive index, the speed of light in vacuum, and the speed of light in the medium.
Correct Option: A) \(2 \times 10^8 \text{ m/sec}\) is the calculated speed of light in the given medium.
The question asks to identify the specific sports event hosted by India in Mumbai, Navi Mumbai, and Pune starting from January 20, 2022. This requires knowledge of major international sports events and their hosting locations and dates.
Correct Option: C) AFC Women's Asian Cup
Two types of cell divisions, A and B, are shown in the figure below. Which option provides the correct answer for:
i. Types of cell division
ii. When and where does division B take place?
i. A - Meiosis, B - Mitosis; Meiosis takes place in reproductive cells for the formation of gametes
i. A - Mitosis, B - Meiosis; Meiosis takes place in reproductive cells for the formation of gametes
i. A and B - Meiosis; Meiosis takes place in body cells for growth
i. A - Mitosis, B - Meiosis; Meiosis takes place in body cells for growth
To determine the correct option, we need to identify the types of cell division shown in the diagrams and understand where and when each type occurs.
Correct Option: B) i. A - Mitosis, B - Meiosis; Meiosis takes place in reproductive cells for the formation of gametes
The problem asks us to identify letters in a given series that satisfy two conditions simultaneously: they must be immediately preceded by a number and immediately followed by a symbol. We need to scan the series from left to right and check each letter against these conditions.
C) 3. There are three letters (U, Y, E) in the series that are immediately preceded by a number and immediately followed by a symbol.
The problem presents a coding-decoding scenario where words are transformed into coded forms. We need to identify the underlying pattern or rule used for this transformation and then apply it to a new word. The pattern usually involves shifts in alphabetical positions, reversals, or other logical operations.
| Original Letter | Position | Coded Letter | Position | Difference |
|---|---|---|---|---|
| A | 1 | F | 6 | \(6 - 1 = 5\) |
| C | 3 | S | 19 | \(19 - 3 = 16\) |
| A | 1 | J | 10 | \(10 - 1 = 9\) |
| D | 4 | H | 8 | \(8 - 4 = 4\) |
| E | 5 | D | 4 | \(4 - 5 = -1\) |
| M | 13 | E | 5 | \(5 - 13 = -8\) |
| Y | 25 | B | 2 | \(2 - 25 = -23\) or \(2 + 26 - 25 = 3\) (circular) |
D) AVRIWVB is the correct option, derived by reversing the word 'ATTEMPT' to 'TPMETTA' and then applying the shifts \(+7, +6, +5, +4, +3, +2, +1\) to each letter respectively.
To calculate the simple interest, we use the formula for simple interest: \[\text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100}\], where P is the principal amount, R is the rate of interest per annum, and T is the time in years.
The formula for simple interest is:
\[ \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \]Rani will pay Rs 28,000 as simple interest after 2 years.
D) Rs 28,000 is the correct amount of simple interest calculated using the given principal, rate, and time.
This is a syllogism problem. We will use Venn diagrams to represent the given statements and then check which conclusions logically follow from these diagrams. We need to consider the statements as true, even if they contradict common knowledge.
Combining these, we get a nested structure: Copies are inside Readers, and Readers are inside Scrolls. The Pamphlets circle overlaps with the Copies circle.
Conclusions II, III, and IV follow. Conclusion I does not follow.
A) Only conclusions II, III, and IV follow. This matches our analysis that conclusions II, III, and IV are logically derived from the given statements, while conclusion I is not.
This is a syllogism problem. We will use Venn diagrams to represent the given statements and then evaluate each conclusion based on these diagrams. We need to find conclusions that logically follow from the statements.
This means the set of Tigers is entirely contained within the set of Lions. We can draw a smaller circle for Tigers inside a larger circle for Lions.
This means the set of Cats and the set of Lions are mutually exclusive. Their circles do not overlap at all. Since Tigers are inside Lions, this also implies that no cat is a tiger.
This means there is an overlap between the set of Jaguars and the set of Cats. We draw two overlapping circles for Jaguars and Cats.
From statement 2, "No cat is a lion." From statement 3, "Some jaguars are cats." This means the portion of jaguars that are cats cannot be lions. However, the remaining portion of jaguars (those that are not cats) might or might not be lions. There is no definite information to conclude that "Some jaguars are lions." This conclusion does not logically follow.
From statement 2, "No cat is a lion." Since all tigers are lions (statement 1), it implies no cat is a tiger. From statement 3, "Some jaguars are cats." This means the jaguars that are cats cannot be tigers. However, the jaguars that are not cats could potentially be tigers. We cannot definitively conclude "No jaguar is a tiger." This conclusion does not logically follow.
From statement 3, "Some jaguars are cats." Let's call this group of jaguars \(J_C\). From statement 2, "No cat is a lion." This means that any animal that is a cat cannot be a lion. Since \(J_C\) are cats, it logically follows that \(J_C\) cannot be lions. Therefore, "Some jaguars (specifically, those that are cats) are not lions." This conclusion logically follows.
D) Only conclusion III follows.
This problem involves the division algorithm, which states that for any integers \(a\) (dividend) and \(b\) (divisor) with \(b > 0\), there exist unique integers \(q\) (quotient) and \(r\) (remainder) such that \(a = bq + r\), where \(0 \le r < b\). We need to find the dividend (\(a\)) given the divisor, quotient, and remainder.
B) 126035 is the correct number obtained by applying the division algorithm with the calculated divisor, quotient, and given remainder.