Consider the following alphanumeric series with powers:
A1, C3, E5, G7, __, __, I9, __,K11, M13, __
Based on the observed pattern, complete the series by selecting the correct options:
Step 1 (Read the joint pattern of letters and exponents).
Look at the letters: \(A, C, E, G, \ldots\) — they increase by skipping one letter each time (\(+2\) positions in the alphabet). So the letter sequence must be: \[ A,\ C,\ E,\ G,\ {I},\ {K},\ M,\ {O},\ {Q},\ldots \]
Step 2 (Match the exponents).
The powers are \(1,3,5,7,\ldots\) — consecutive odd numbers, which also equal each letter’s alphabetical index: \(A=1,\ C=3,\ E=5,\ G=7,\ I=9,\ K=11,\ M=13,\ O=15,\ Q=17\).
Step 3 (Fill the blanks).
Thus the full series is: \[ A^{1},\ C^{3},\ E^{5},\ G^{7},\ {I^{9}},\ {K^{11}},\ I^{9}\ (\text{already given later}),\ {O^{15}},\ K^{11}\ (\text{given}),\ M^{13},\ {Q^{17}}. \] Interpreting the intended progression (ignoring the out-of-place repeats provide(d), the correct two missing terms at the end after \(M^{13}\) are \({O^{15},\ Q^{17}}\).
Step 4 (Compare with options).
None of the options \((a)\ N^{15},P^{17;\ }(b)\ H^{9},J^{11;\ }(c)\ Q^{15},S^{17;\ }(d)\ I^{9},K^{11}\) matches \({O^{15}, Q^{17}}\).
\[ {\text{O}^{15},\ \text{Q}^{17}\ \text{(not listed among the options)}} \]
Which letter replaces the question mark? A, D, G, J, M, ?
Given the statements:
1. All smartphones are devices.
2. Some devices are expensive.
Conclusions:
I. Some expensive things are smartphones.
II. All smartphones are expensive. Select the correct conclusions:
Consider the following information:
Set A: Animals that can fly
Set B: Birds
Set C: Animals that live in water
Using Venn diagrams, represent the relationships between these sets and answer the question. Which region(s) in the Venn diagram represents animals that can fly and also live in water?
Arrange the following words in lexicographical (dictionary) order from highest to lowest:
1. Elephant
2. Banana
3. Apple
4. Cherry
A trader marked up shirts by 40%, offered a 20% discount during a sale, and sold each for 234. Find the number of shirts he purchased.
In a collection of coins, the ratio of the number of 2-rupee coins to 5-rupee coins to 1-rupee coins is \(3 : 4 : 5\). If the total value of these coins is Rs. 18.75, how much money is represented by the 5-rupee coins?