An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of 2πn \frac{2\pi}{n} n2π, is identical to the original. Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?
A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K). Which one of the following options displays the color codes that are consistent with the color model?
The figures, I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence as IV?
Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?{Note: The figure shown is representative.}
A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio, and sells them at ₹192 per kg. The cost of variety P is ₹800 for 5 kg. The cost of variety Q is ₹800 for 4 kg. If the person gets an 8% profit, what is the P : Q ratio (by weight)?
Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions:1. P<Q P<Q P<Q2. S>P>T S>P>T S>P>T3. R<T R<T R<TIf integers 1 through 5 are used to construct such a number, the value of P is:
For the clock shown in the figure, ifO* = O Q S Z P R T, andX* = X Z P W Y O Q,then which one among the given options is most appropriate for P*?
A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: (i) The sum of Yellow balls and twice the number of Violet balls is 50. (ii) The sum of Violet and Green balls is 50. (iii) The sum of Yellow and Red balls is 50. (iv) The sum of Violet and twice the number of Red balls is 50.
In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively?