This question tests the fundamental understanding of current behavior in series circuits. In a series circuit, there is only one path for the current to flow. This principle dictates how current behaves throughout the circuit.
A) remains the same — In a series circuit, the current has only one path to flow. Therefore, the magnitude of the current is identical at every point throughout the circuit, across each resistor, and through the connecting wires. This is a fundamental characteristic of series connections.
Study the pattern of the following figures and decide which figure will be the next one.
To determine the next figure in the sequence, we need to identify the pattern or rule governing the transformation of symbols in the given figures.
Correct Option: C) The pattern of symbols matches the expected transformation.
The question asks to identify the first internationally recognized film made in a Himachali dialect that won an award at the International Borrego Springs Film Festival in California, USA, in 2017. This requires specific knowledge about Himachali cinema and its international accolades.
Upon research, the film "Saanjh" (meaning 'Dusk' or 'Evening') is known to be the first film made in the Himachali dialect (specifically, the Kangri dialect) to gain international recognition. It won the Best Feature Film award at the International Borrego Springs Film Festival in California, USA, in 2017. The film was directed by Ajay Saklani.
D) Saanjh — "Saanjh" is indeed the first film made in a Himachali dialect (Kangri) to achieve international recognition, winning the Best Feature Film award at the International Borrego Springs Film Festival in California, USA, in 2017. This matches all the criteria mentioned in the question.
The question asks to identify India's indigenously designed and developed long-range subsonic cruise missile. This requires knowledge of various missile systems developed by India and their characteristics.
Correct Option: D) Nirbhay
The question asks to identify the recipient of the Dadasaheb Phalke Award for the year 2016. This requires knowledge of the history of this prestigious award in Indian cinema.
Correct Option: C) K. Vishwanath
To find the value of 'n', we will use the formula for the combined average of two groups. The combined average is calculated by dividing the total sum of scores of both groups by the total number of members in both groups.
Define variables for the first group:
Calculate the total sum of scores for the first group:
The sum of scores for the first group (\(S_1\)) is given by \(N_1 \times M_1\).
\[ S_1 = 12 \times 10 = 120 \]Define variables for the second group:
Calculate the total sum of scores for the second group:
The sum of scores for the second group (\(S_2\)) is given by \(N_2 \times M_2\).
\[ S_2 = n \times 12 = 12n \]Define the combined average:
The combined average of both groups (\(M_{\text{combined}}\)) = 11.2
Apply the combined average formula:
The combined average is the total sum of scores divided by the total number of members:
\[ M_{\text{combined}} = \frac{S_1 + S_2}{N_1 + N_2} \]Substitute the known values into the formula:
\[ 11.2 = \frac{120 + 12n}{12 + n} \]Solve the equation for n:
Multiply both sides by \((12 + n)\):
\[ 11.2 \times (12 + n) = 120 + 12n \]Distribute 11.2 on the left side:
\[ (11.2 \times 12) + (11.2 \times n) = 120 + 12n \] \[ 134.4 + 11.2n = 120 + 12n \]Subtract \(11.2n\) from both sides:
\[ 134.4 = 120 + 12n - 11.2n \] \[ 134.4 = 120 + 0.8n \]Subtract 120 from both sides:
\[ 134.4 - 120 = 0.8n \] \[ 14.4 = 0.8n \]Divide by 0.8:
\[ n = \frac{14.4}{0.8} \] \[ n = \frac{144}{8} \] \[ n = 18 \]Correct Option: A) 18
This is a blood relation problem. We need to establish the relationships between Surya, Kiran, and Sharda based on the given statements and then determine how Sharda is related to Kiran.
Correct Option: B) Daughter — Based on the analysis, Kiran is the only child of Surya, and Sharda is Surya's granddaughter. This implies that Sharda must be the child of Kiran. Therefore, Sharda is Kiran's daughter.
How many triangles are there in this figure?
To find the total number of triangles in the given figure, we need to systematically count all possible triangles, including both smaller and larger ones formed by combining smaller triangles.
Thus, the total number of triangles in the figure is 20.
Correct Option: D) 20
The question asks to identify the essential element required for the synthesis of thyroxine. This is a direct knowledge-based question related to human physiology and nutrition, specifically concerning the thyroid gland and its hormones.
B) Iodine — Iodine is a crucial trace element that is absolutely essential for the synthesis of thyroid hormones, including thyroxine. The thyroid gland actively absorbs iodide from the blood to incorporate it into thyroglobulin, a precursor protein, to form T3 and T4.