The figures I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
The pattern involves the shaded area rotating clockwise by a quarter turn each step.
Step 1: In Figure I, the top left quarter is shaded.
Step 2: In Figure II, the bottom left quarter is shaded.
Step 3: In Figure III, the bottom right quarter is shaded.
Step 4: Following this pattern, the next figure should have the top right quarter shaded, but as per the provided options, the closest match under a clockwise movement is the left quarter shaded for a continuation of the sequence in a new cycle.
Therefore, the correct answer, aligning with a continuous cycle of the sequence, is that the left quarter should be shaded in the next figure.
Which letter replaces the question mark? A, D, G, J, M, ?
“Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in their capitals and their great towns: they do not know why they do it; neither do I. It ought to be enough, surely, to drive the great broad ways which commerce needs and which are the life-channels of a modern city, without destroying all history and all the humanity in between: the islands of the past.”
(From Hilaire Belloc’s “The Crooked Streets”)
Based only on the information provided in the above passage, which one of the following statements is true?
As the police officer was found guilty of embezzlement, he was _________ dismissed from the service in accordance with the Service Rules. Select the most appropriate option to complete the above sentence.
A wheel of mass \( 4M \) and radius \( R \) is made of a thin uniform distribution of mass \( 3M \) at the rim and a point mass \( M \) at the center. The spokes of the wheel are massless. The center of mass of the wheel is connected to a horizontal massless rod of length \( 2R \), with one end fixed at \( O \), as shown in the figure. The wheel rolls without slipping on horizontal ground with angular speed \( \Omega \). If \( \vec{L} \) is the total angular momentum of the wheel about \( O \), then the magnitude \( \left| \frac{d\vec{L}}{dt} \right| = N(MR^2 \Omega^2) \). The value of \( N \) (in integer) is:
The figure shows an opamp circuit with a 5.1 V Zener diode in the feedback loop. The opamp runs from \( \pm 15 \, {V} \) supplies. If a \( +1 \, {V} \) signal is applied at the input, the output voltage (rounded off to one decimal place) is: