The question asks for the location where SPIC Limited commissioned India's first and largest captive floating solar power plant in March 2022. This is a factual question related to current affairs and infrastructure development in India.
Correct Option: D) Thoothukudi is the correct answer because SPIC Limited's captive floating solar power plant was commissioned there in March 2022.
The question gives two sets of numbers, (11, 24, 57) and (7, 39, 60), and asks for the option that follows the same relationship. We need to find a rule that connects the three numbers in both given sets, using whole numbers only, and then check each option against it.
Identify the given information:
Find the rule using the first set:
Multiply the first number by 3 and add the second number:
\[ 11\times3+24=33+24 \] \[ =57 \]This gives the third number.
Check the rule with the second set:
\[ 7\times3+39=21+39 \] \[ =60 \]The rule holds. So, the rule is:
\[ \text{Third number}=3\times\text{First number}+\text{Second number} \]Apply the rule to each option:
Therefore, only (15, 41, 86) follows the same rule.
Correct Option: D) (15, 41, 86) — In each set, the third number equals three times the first number plus the second number. For (15, 41, 86), 15 × 3 + 41 = 86. Hence, Option D is the correct answer.
A) (17, 58, 91): This is incorrect because 17 × 3 + 58 = 109, not 91.
B) (14, 25, 43): This is incorrect because 14 × 3 + 25 = 67, not 43.
C) (12, 55, 19): This is incorrect because 12 × 3 + 55 = 91, not 19.
When identical cubes are placed adjacent to each other, their volumes add up. The problem asks for the total volume of the new solid formed by placing six equal cubes next to each other. We first calculate the volume of a single cube and then multiply it by the number of cubes.
B) \(2058 \text{ cm}^3\)
The total volume of the new solid formed by placing six cubes, each of side \(7 \text{ cm}\), adjacent to each other is \(2058 \text{ cm}^3\).
When light travels from one medium to another, it undergoes refraction. Refraction is the bending of light as it passes from a medium of one optical density to another. This phenomenon is governed by changes in the light's properties.
Correct Option: D) Its speed
When light passes from water to air, it moves from an optically denser medium to an optically rarer medium. This causes its speed to increase. The change in speed is the fundamental reason for refraction.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
Some markers are pens.
Some pens are colours.
Some colours are wax.
Conclusions:
(I) Some colours are markers.
(II) Some pens are wax.
Only conclusion (I) follows.
Both conclusion (I) and conclusion (II) follow.
Only conclusion (II) follows.
Both conclusion (I) and conclusion (II) do not follow.
This is a syllogism problem. We need to analyze the given statements and determine which conclusions logically follow. We can use Venn diagrams to visualize the relationships between the categories (markers, pens, colours, wax) and check the validity of the conclusions. Remember that in syllogisms, we must assume the statements are true, even if they contradict common knowledge, and only draw conclusions that are definitively implied by the statements.
D) Both conclusion (I) and conclusion (II) do not follow.
In what time will a sum of Rs 6,400 amount to Rs 7,168 at 6% simple interest per annum?
To find the time taken for a sum to amount to a certain value at a given simple interest rate, we first calculate the simple interest earned. Then, using the formula for simple interest, we can determine the time period.
Simple Interest is the difference between the Amount and the Principal.
\[ \text{SI} = \text{Amount} - \text{Principal} \]Substituting the given values:
\[ \text{SI} = 7168 - 6400 = 768 \]The formula for Simple Interest is:
\[ \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \]We need to find T. Rearranging the formula for T:
\[ \text{T} = \frac{\text{SI} \times 100}{\text{P} \times \text{R}} \]Substitute the calculated SI and the given P and R values:
\[ \text{T} = \frac{768 \times 100}{6400 \times 6} \]Simplify the expression:
\[ \text{T} = \frac{76800}{38400} \]Perform the division:
\[ \text{T} = 2 \text{ years} \]C) 2 years
What is the term used for the interest rate that changes during the repayment period of a loan?
Drifting rate
Variable rate
Floating rate
Buoyant rate
The question asks for the specific term used to describe an interest rate that changes over the loan repayment period. This is a common concept in finance and banking.
Correct Option: C) Floating rate
In a certain code language, “PURPLE” is written as “VQQSFM” and “YELLOW” is written as “FZMMXP”. How will “VIOLET” be written in the same code language?
The question gives two coding examples: "PURPLE" is written as "VQQSFM" and "YELLOW" is written as "FZMMXP". We need to find the rule that changes each word into its code and then apply the same rule to "VIOLET".
Identify the given information:
Find the pattern using PURPLE:
Split PURPLE into pairs: PU | RP | LE.
Swap the letters in each pair: UP | PR | EL.
Move each letter one step forward: U→V, P→Q | P→Q, R→S | E→F, L→M.
This gives VQ | QS | FM = VQQSFM.
Check the pattern with YELLOW:
Pairs: YE | LL | OW. Swapped: EY | LL | WO.
Move each letter one step forward: FZ | MM | XP.
This gives FZMMXP. The rule holds.
Apply the rule to VIOLET:
Pairs: VI | OL | ET. Swapped: IV | LO | TE.
Move each letter one step forward: I→J, V→W | L→M, O→P | T→U, E→F.
Therefore, VIOLET is written as JWMPUF.
Correct Option: A) JWMPUF — The word is split into pairs, the letters in each pair are swapped, and each letter is moved one step forward. VI | OL | ET becomes JW | MP | UF. Hence, Option A is the correct answer.
B) JMWPFU: This is incorrect because the letters are shifted correctly but not arranged in swapped pairs; this code cannot be obtained from the given rule.
C) AMFUPW: This is incorrect because this code cannot be obtained from the given rule.
D) XMPWUF: This is incorrect because this code cannot be obtained from the given rule.
The question asks to identify the first Indian to win a medal at the IBSA Judo Grand Prix in 2022. This requires knowledge of specific sports achievements and current affairs related to Indian athletes.
Correct Option: B) Kapil Parmar became the first Indian to win a medal at the IBSA Judo Grand Prix in 2022. He secured a bronze medal in the men's 60 kg J2 category at the event held in Nur-Sultan, Kazakhstan.
The question asks to identify the gaseous waste product generated during photosynthesis. Recall the overall chemical equation for photosynthesis to determine the reactants and products.
Correct Option: A) Oxygen is the gaseous byproduct released into the atmosphere during photosynthesis, which is essential for most aerobic life forms.