This is a linear arrangement puzzle. We need to determine the exact seating position of each of the six friends based on the given clues. We will start with the most definitive clue and build the arrangement step-by-step.
B) Esha is at the extreme right, as determined by the step-by-step arrangement.
The brightness of a bulb is directly proportional to the power it dissipates. When bulbs are connected in parallel to an electric source, the voltage across each bulb is the same. We need to determine which bulb dissipates the most power to find the brightest one.
D) Brightness of bulb C is the maximum. This is correct because bulb C has the highest power rating (75 W), and in a parallel connection, all bulbs receive the same voltage, so the one with the highest power rating will dissipate the most power and thus be the brightest.
The Highest Common Factor (HCF) of a set of numbers is the largest positive integer that divides each of the numbers without leaving a remainder. If the HCF of 64, 48, and \(y\) is 8, it means that 8 must be a factor of 64, 48, and \(y\). Consequently, \(y\) must be a multiple of 8. We will check each option to see which one is NOT a multiple of 8, or if it is a multiple of 8, whether including it would change the HCF to something other than 8.
If \(y = 96\):
The question asks to identify the economic concept that measures the slope of an indifference curve. An indifference curve represents combinations of two goods that provide a consumer with the same level of satisfaction or utility. Its slope indicates the rate at which a consumer is willing to substitute one good for another while maintaining the same utility level.
Correct Option: D) marginal rate of substitution — The marginal rate of substitution (MRS) is the rate at which a consumer is willing to trade one good for another while maintaining the same level of utility. This rate is represented by the absolute value of the slope of the indifference curve.
The problem requires us to evaluate a given mathematical expression after interchanging specific arithmetic operators. We need to apply the new operators to the original numbers and then follow the BODMAS/PEMDAS rule for the order of operations.
The final value of the expression is 111.
C) 111 is the correct answer, as derived from applying the operator interchanges and then following the order of operations.
In a code language, ‘hay in the sack’ is written as ‘it fn en ho’, ‘the sack is full’ is written as ‘en ho go bu’ and ‘the hay is full’ is written as ‘en bu fn go’. What is the code for the word ‘sack’ in that language?
This is a coding-decoding problem where we need to find the code for a specific word by comparing common words and their corresponding codes across different statements. We will identify common words in the given phrases and their common codes to deduce the code for each word.
Six persons, Pratik, Ansh, Rajesh, Shivam, Tanu and Ujma, travelled in different months of the same year, viz. January, February, March, April, May and June. Pratik travelled in March. Only one person travelled between Pratik and Ujma. No one travelled between Tanu and Ansh. Ansh travelled in one of the months after Tanu. More than two persons travelled between Ansh and Rajesh. Ansh travelled in one of the months before Rajesh.
Who among them travelled in June?
This is a logical reasoning problem involving sequencing people's travel months based on given clues. We need to deduce the travel schedule for each person and identify who travelled in June.
List the months and persons:
Months: January, February, March, April, May, June
Persons: Pratik, Ansh, Rajesh, Shivam, Tanu, Ujma
Clue 1: Pratik travelled in March.
This fixes Pratik's position:
Month Person January February March Pratik April May June
Clue 2: Only one person travelled between Pratik and Ujma.
Since Pratik is in March, Ujma must be in May (March --> April --> May). If Ujma were in January, there would be two people between them (February, March).
Month Person January February March Pratik April May Ujma June
Clue 3: No one travelled between Tanu and Ansh.
This means Tanu and Ansh travelled in consecutive months.
Clue 4: Ansh travelled in one of the months after Tanu.
Combining with Clue 3, this means Tanu travelled immediately before Ansh.
Clue 5: Ansh travelled in one of the months before Rajesh.
Clue 6: More than two persons travelled between Ansh and Rajesh.
This means there are at least three persons between Ansh and Rajesh. For example, if Ansh is in January, Rajesh cannot be in April (2 persons between them). Rajesh must be in May or June.
Applying Clues 3, 4, 5, 6:
We need two consecutive empty slots for Tanu and Ansh. The available slots are (January, February) and (April, May - but May is Ujma). So, Tanu and Ansh must be in January and February respectively.
Month Person January Tanu February Ansh March Pratik April May Ujma June
Now, let's check Clues 5 and 6. Ansh is in February. Rajesh must be after Ansh. More than two persons travelled between Ansh (February) and Rajesh. The months between February and June are March, April, May. There are three persons (Pratik, unknown, Ujma) between February and June. So, Rajesh must be in June.
Month Person January Tanu February Ansh March Pratik April Shivam May Ujma June Rajesh
The only remaining person is Shivam, and the only remaining month is April. So, Shivam travelled in April.
Final Arrangement:
Month Person January Tanu February Ansh March Pratik April Shivam May Ujma June Rajesh
Answer the question: Who among them travelled in June?
From the final arrangement, Rajesh travelled in June.
C) Rajesh — Based on the step-by-step deduction, Rajesh travelled in June.
The question asks to identify a political right from the given options. To answer this, we need to understand the distinction between political rights, civil rights, and fundamental freedoms.
Correct Option: A) The Right to vote is a direct means for citizens to participate in the governance of their country, making it a clear example of a political right.
The problem presents a number series, and we need to find the missing term. We will analyze the pattern between consecutive numbers to identify the rule governing the series.
Thus, the missing number in the series is 351.
D) 351 is the correct answer because it follows the established pattern of alternating multiplication by 3 and subtraction of 9.
The question asks about the difference between two successive members in a homologous series. A homologous series is a series of organic compounds with the same functional group but with each successive member differing by a constant unit. We need to identify this constant unit.
A) –CH₂– is the correct answer because two successive members in any homologous series (e.g., alkanes, alkenes, alcohols) always differ by one methylene (\(–CH_2–\)) group.