The question asks to identify which of the given Indian states is NOT among the top 5 in terms of forest cover area. To answer this, one needs to recall or refer to the latest India State of Forest Report (ISFR) data, which provides statistics on forest cover in various states.
A) Punjab is not among the top 5 states in India in terms of forest cover area. Its forest cover is significantly lower than the states listed in the top 5.
The problem deals with similar triangles. A key property of similar triangles is that the ratio of their areas is equal to the square of the ratio of their corresponding sides, medians, or altitudes. In this case, we are given the corresponding altitudes.
B) 64 : 121. This is derived directly from the property that the ratio of the areas of similar triangles is the square of the ratio of their corresponding altitudes.
The problem asks us to identify the odd one out from a given set of four words. This is a classification-based question where we need to find a common characteristic among three items and identify the one that does not share that characteristic.
B) Loom — A loom is a machine used for weaving thread or yarn into textiles. This is related to the textile industry, not agriculture.
Find the value of cos37° sec143° + sin34° cosec146°
The problem requires us to evaluate a trigonometric expression involving angles in different quadrants. We will use trigonometric identities for complementary and supplementary angles to simplify the expression. Specifically, we will use the identities: \(\sec(180^\circ - \theta) = -\sec\theta\) and \(\csc(180^\circ - \theta) = \csc\theta\).
Consider the first term: \(\cos37^\circ \sec143^\circ\).
We know that \(\sec(180^\circ - \theta) = -\sec\theta\). Let \(\theta = 180^\circ - 143^\circ = 37^\circ\).
So, \(\sec143^\circ = \sec(180^\circ - 37^\circ) = -\sec37^\circ\).
Substitute this back into the first term:
\[ \cos37^\circ \sec143^\circ = \cos37^\circ (-\sec37^\circ) \]\[ = -\cos37^\circ \sec37^\circ \]Since \(\sec\theta = \frac{1}{\cos\theta}\), we have \(\cos\theta \sec\theta = 1\).
Therefore, the first term simplifies to:
\[ -\cos37^\circ \sec37^\circ = -1 \]Now consider the second term: \(\sin34^\circ \csc146^\circ\).
We know that \(\csc(180^\circ - \theta) = \csc\theta\). Let \(\theta = 180^\circ - 146^\circ = 34^\circ\).
So, \(\csc146^\circ = \csc(180^\circ - 34^\circ) = \csc34^\circ\).
Substitute this back into the second term:
\[ \sin34^\circ \csc146^\circ = \sin34^\circ (\csc34^\circ) \]Since \(\csc\theta = \frac{1}{\sin\theta}\), we have \(\sin\theta \csc\theta = 1\).
Therefore, the second term simplifies to:
\[ \sin34^\circ \csc34^\circ = 1 \]Finally, add the simplified terms:
\[ \cos37^\circ \sec143^\circ + \sin34^\circ \csc146^\circ = -1 + 1 = 0 \]D) 0 — The expression simplifies to \(-1 + 1 = 0\).
Study the given pattern carefully and select the number that can replace the question mark (?) in the third figure.
To solve this pattern-based question, we need to identify the relationship between the numbers in the stars and the numbers in the boxes below them.
Therefore, the number that replaces the question mark is 2.
Correct Option: D) 2
To find the number of prime integers between 109 and 121 (inclusive), we need to list all integers in this range and then check each one for primality. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Correct Option: C) 2
Which schedule of the Indian constitution contains the list of states and union territories and their territories?
The question asks to identify the schedule of the Indian Constitution that lists states, union territories, and their territorial jurisdictions. This requires knowledge of the various schedules and their contents.
Correct Option: B) 1st. The First Schedule of the Indian Constitution lists the names of the States and Union Territories and defines their territorial limits.
The question asks to identify the winner of the Sultan Azlan Shah Hockey tournament in 2019. This requires knowledge of the results of major international hockey tournaments.
Correct Option: D) South Korea won the Sultan Azlan Shah Hockey tournament in 2019 by defeating India in the final.
To find the number of smaller cubes that can be formed by melting a larger cuboid, we need to understand that the total volume of the material remains constant. Therefore, the volume of the cuboid will be equal to the sum of the volumes of all the smaller cubes. We can find the volume of the cuboid and the volume of one small cube, then divide the former by the latter to get the number of cubes.
The dimensions of the cuboid are given as length \(L = 24 \text{ cm}\), breadth \(B = 16 \text{ cm}\), and height \(H = 16 \text{ cm}\).
The volume of a cuboid is given by the formula:
\[ V_{\text{cuboid}} = L \times B \times H \]\[ V_{\text{cuboid}} = 24 \text{ cm} \times 16 \text{ cm} \times 16 \text{ cm} \]\[ V_{\text{cuboid}} = 24 \times 256 \text{ cm}^3 \]\[ V_{\text{cuboid}} = 6144 \text{ cm}^3 \]The side of the small cube is given as \(s = 8 \text{ cm}\).
The volume of a cube is given by the formula:
\[ V_{\text{cube}} = s^3 \]\[ V_{\text{cube}} = (8 \text{ cm})^3 \]\[ V_{\text{cube}} = 8 \times 8 \times 8 \text{ cm}^3 \]\[ V_{\text{cube}} = 512 \text{ cm}^3 \]The number of cubes can be found by dividing the volume of the cuboid by the volume of one small cube:
\[ \text{Number of cubes} = \frac{V_{\text{cuboid}}}{V_{\text{cube}}} \]\[ \text{Number of cubes} = \frac{6144 \text{ cm}^3}{512 \text{ cm}^3} \]\[ \text{Number of cubes} = 12 \]D) 12 — As calculated, 12 cubes of side 8 cm can be formed from the given cuboid.
The question asks to identify the incorrect combination of a state/union territory and the number of Members of the Legislative Assembly (MLAs) in its Vidhan Sabha. This requires knowledge of the legislative assembly strengths of various Indian states and union territories.
Let's check each option:
Comparing these facts with the given options, we find that the combination for Delhi is incorrect.
B) Delhi-50 — The Vidhan Sabha of Delhi has 70 members, not 50. Therefore, this combination is incorrect.