In which one of the following rivers is the Majuli river island situated ?
[amp_mcq option1=”Ganga” option2=”Godavari” option3=”Brahmaputra” option4=”Kaveri” correct=”option3″]
In which one of the following rivers is the Majuli river island situated ?
[amp_mcq option1=”Ganga” option2=”Godavari” option3=”Brahmaputra” option4=”Kaveri” correct=”option3″]
Which one among the following is the place of confluence of the rivers Alaknanda and Bhagirathi ?
[amp_mcq option1=”Vishnuprayag” option2=”Karnaprayag” option3=”Devprayag” option4=”Rudraprayag” correct=”option3″]
Which one among the following is the northernmost located city of India ?
[amp_mcq option1=”Patna” option2=”Kolkata” option3=”Guwahati” option4=”Kohima” correct=”option3″]
Comparing these values, Guwahati has the highest latitude (approximately 26.2° N), making it the northernmost city among the given options.
The idea of Ecological Succession was first formally coined by
[amp_mcq option1=”Charles Darwin.” option2=”Clements.” option3=”Sir A. Tansley.” option4=”Emberlin.” correct=”option2″]
A) Charles Darwin’s work focused on evolution by natural selection, not specifically ecological succession.
C) Sir A. Tansley coined the term “ecosystem” but is not primarily credited with coining the idea of ecological succession itself, although he contributed to ecological thought.
D) Emberlin is not a figure widely recognized for coining the initial formal idea of ecological succession compared to Clements.
Which one among the following is the most important reason for female migration in India ?
[amp_mcq option1=”Work/Employment” option2=”Marriage” option3=”Education” option4=”Business” correct=”option2″]
Which one of the following is a characteristic feature of Market Gardening ?
[amp_mcq option1=”Farms are of very large size.” option2=”Netherlands is an example of Market Gardening.” option3=”It is well-developed in sparsely populated areas of North-West Europe.” option4=”This is practised in the areas where consumers of low income group are located.” correct=”option2″]
Let’s analyze the options:
A) Farms are typically small or medium-sized, not very large, to facilitate intensive cultivation and proximity to markets.
B) The Netherlands is renowned for its highly intensive and technologically advanced horticulture, including greenhouse production of vegetables, flowers, and plants, largely catering to both domestic and international markets. This is a classic example of market gardening (though often referred to more broadly as horticulture).
C) It is well-developed in areas near markets, which are typically densely populated urban centers, not sparsely populated areas.
D) Market gardening focuses on supplying consumers, typically in urban areas, who have the purchasing power to buy relatively higher-cost fresh produce. It’s not primarily targeted at low-income consumers.
Consider a square of side length 2 m. What is the difference of the areas of the circumscribed circle and the inscribed circle (in m²) ?
[amp_mcq option1=”3π/2″ option2=”π/2″ option3=”2π” option4=”π” correct=”option4″]
The circumscribed circle passes through all four vertices of the square. Its diameter is equal to the length of the diagonal of the square.
Diagonal of the square = s * √2 = 2 * √2 m.
Radius of the circumscribed circle (r_circum) = (diagonal)/2 = (2√2)/2 = √2 m.
Area of the circumscribed circle = π * (r_circum)² = π * (√2)² = π * 2 = 2π m².
The difference of the areas = Area of circumscribed circle – Area of inscribed circle
Difference = 2π m² – π m² = π m².
If a shopkeeper sells an item ‘A’ at 20% profit and item ‘B’ at 25% profit, then the total profit made is ₹ 120. If he sells item ‘A’ at 25% profit and item ‘B’ at 20% profit, then the total profit made is ₹ 105. What is the sum of the cost price of items ‘A’ and ‘B’ ?
[amp_mcq option1=”₹ 300″ option2=”₹ 400″ option3=”₹ 500″ option4=”₹ 600″ correct=”option3″]
According to the second condition:
25% profit on A + 20% profit on B = ₹ 105
0.25 * CA + 0.20 * CB = 105 (Equation 2)
We want to find the sum of the cost prices, which is CA + CB.
Adding Equation 1 and Equation 2:
(0.20 * CA + 0.25 * CA) + (0.25 * CB + 0.20 * CB) = 120 + 105
0.45 * CA + 0.45 * CB = 225
0.45 * (CA + CB) = 225
Now, solve for CA + CB:
CA + CB = 225 / 0.45
CA + CB = 225 / (45/100)
CA + CB = 225 * (100/45)
CA + CB = (225/45) * 100
CA + CB = 5 * 100
CA + CB = 500
The sum of the cost price of items ‘A’ and ‘B’ is ₹ 500.
If the LCM and HCF of two positive integers are 18 and 3 respectively, then what is the minimum possible value of their sum ?
[amp_mcq option1=”21″ option2=”15″ option3=”18″ option4=”16″ correct=”option2″]
Since the HCF is 3, both $x$ and $y$ must be multiples of 3. We can write $x = 3a$ and $y = 3b$, where $a$ and $b$ are positive integers.
Substituting these into the product equation:
$(3a)(3b) = 54$
$9ab = 54$
$ab = 6$.
Furthermore, the HCF of $x$ and $y$ is 3, which means HCF$(3a, 3b) = 3 \times \text{HCF}(a, b) = 3$. This implies HCF$(a, b) = 1$, i.e., $a$ and $b$ must be coprime.
We need to find pairs of positive integers $(a, b)$ such that $ab=6$ and HCF$(a, b)=1$.
Possible pairs $(a,b)$ for $ab=6$:
1. (1, 6): HCF(1, 6) = 1. This pair is valid.
If $a=1, b=6$, then $x = 3 \times 1 = 3$ and $y = 3 \times 6 = 18$.
Check: HCF(3, 18) = 3, LCM(3, 18) = 18. Correct.
Sum $x+y = 3 + 18 = 21$.
2. (6, 1): HCF(6, 1) = 1. This pair is valid.
If $a=6, b=1$, then $x = 3 \times 6 = 18$ and $y = 3 \times 1 = 3$.
Check: HCF(18, 3) = 3, LCM(18, 3) = 18. Correct.
Sum $x+y = 18 + 3 = 21$.
3. (2, 3): HCF(2, 3) = 1. This pair is valid.
If $a=2, b=3$, then $x = 3 \times 2 = 6$ and $y = 3 \times 3 = 9$.
Check: HCF(6, 9) = 3, LCM(6, 9) = 18. Correct.
Sum $x+y = 6 + 9 = 15$.
4. (3, 2): HCF(3, 2) = 1. This pair is valid.
If $a=3, b=2$, then $x = 3 \times 3 = 9$ and $y = 3 \times 2 = 6$.
Check: HCF(9, 6) = 3, LCM(9, 6) = 18. Correct.
Sum $x+y = 9 + 6 = 15$.
The possible sums of the two integers are 21 and 15.
The minimum possible value of their sum is 15.
The average marks of 40 students in a class is 59 and after removing the highest mark, the average of the remaining 39 students is 58. What is the highest mark in the class ?
[amp_mcq option1=”98″ option2=”99″ option3=”97″ option4=”100″ correct=”option1″]
After removing the highest mark:
Number of remaining students = 39
Average marks of 39 students = 58
Total marks of 39 students = Average $\times$ Number of students
Total marks (39 students) = $58 \times 39$.
$58 \times 39 = 58 \times (40 – 1) = 58 \times 40 – 58 \times 1 = 2320 – 58 = 2262$.
The highest mark is the difference between the total marks of 40 students and the total marks of the remaining 39 students.
Highest mark = Total marks (40 students) – Total marks (39 students)
Highest mark = $2360 – 2262$
Highest mark = 98.