The above-mentioned pie graph represents the expenditure of publishing houses in Karnataka. The central angle of the sector corresponding to the promotion cost is _______.
The pie chart represents various expenditures of publishing houses in Karnataka, with each sector corresponding to a different cost. To find the central angle of the sector corresponding to the promotion cost, we need to use the percentage given for promotion and apply it to the total degrees in a circle, which is 360°.
Correct Option: B) 36°
This problem involves setting up equations based on the given information about Rajeev's earnings for different durations of work. We need to find the value of the holiday by comparing the total compensation for 7 weeks and 5 weeks of work.
The value of the holiday is Rs. 1,075.
A) Rs. 1,075 is the correct value for the holiday, as calculated by setting up and solving the system of equations.
To find the shares of A, B, and C in the profit, we need to calculate the ratio of their equivalent investments over the period of one year. The profit is distributed in the ratio of (Investment \(\times\) Time). Since C joined after 4 months, their investment period will be shorter.
B) The calculated shares are A = Rs. 20,736, B = Rs. 25,920, and C = Rs. 5,184, which matches option B.
The question asks to identify the plant group commonly known as algae. This requires knowledge of the classification of the plant kingdom.
Correct Option: D) Thallophyta is the group of plants that are commonly called algae because they have a simple, undifferentiated plant body (thallus) and are mostly aquatic.
The question asks to identify the primary organ responsible for sperm production in the male reproductive system. This requires knowledge of the basic anatomy and function of male reproductive organs.
C) Testes — The testes (singular: testis) are the primary male reproductive organs. They are responsible for two main functions: producing male hormones (androgens, primarily testosterone) and producing sperm through a process called spermatogenesis. Spermatogenesis occurs within the seminiferous tubules located inside the testes.
The question asks to identify the statement that is NOT true for a base. We need to recall the characteristic properties of bases and compare them with the given options.
Based on the analysis, option C is the statement that is NOT true for a base.
Correct Option: C) Reacts with metals and bicarbonates to produce H₂O, CO₂ and salt
Find the next figure in the given series.
Problem Figures:
Answer Figures:
To solve this problem, observe the pattern in the sequence of figures. Each figure consists of a square with a dot and an arrow. The direction of the arrow and position of the dot follow a specific pattern.
Based on this pattern, the correct figure is option C, where the dot is at the bottom and the arrow points upward.
Correct Option: C) The dot is at the bottom, and the arrow points upward.
This question asks us to identify implicit assumptions in a given statement. An implicit assumption is something that is taken for granted or understood without being explicitly stated. We need to analyze each assumption to see if it is absolutely necessary for the statement to make sense or be logically valid.
Correct Option: A) Neither I nor II is implicit.
To find the wavelength of the wave, we need to use the fundamental relationship between wave speed, frequency, and wavelength. First, calculate the frequency of the wave from the given number of waves passing a point in a specific time. Then, use the formula \(\text{Speed} = \text{Frequency} \times \text{Wavelength}\) to find the wavelength.
Since the speed is given in meters per second (m/s), we need to convert the time from minutes to seconds.
\[ \text{Time} = 1 \text{ minute} = 1 \times 60 \text{ seconds} = 60 \text{ s} \]Frequency is defined as the number of waves passing a point per unit time.
\[ f = \frac{\text{Number of waves}}{\text{Time}} = \frac{600 \text{ waves}}{60 \text{ s}} = 10 \text{ Hz} \]The relationship between wave speed (\(v\)), frequency (\(f\)), and wavelength (\(\lambda\)) is given by:
\[ v = f \times \lambda \]We need to find the wavelength (\(\lambda\)), so rearrange the formula:
\[ \lambda = \frac{v}{f} \]Which pattern will the given transparent sheet resemble when it is folded at the dotted line?
To solve this problem, we need to visualize how the transparent sheet will look when folded along the dotted line. This involves understanding the symmetry and orientation of the shapes on the sheet.
Correct Option: B) The circle 'O' is correctly positioned on the right side, aligned with the diagonal line.