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The MCQs below are drawn from the Applied Mathematics subject category.
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621
Which of the following expressions correctly indicates that R is the daughter of T?
To represent R as the daughter of T, the expression must establish a lineage where T is the parent and R is the female child. Option D provides the correct symbolic sequence to define this specific familial relationship based on the provided logic.
622
Find the missing term X in the following numerical sequence: 462, 420, 380, X, 306.
We observe the differences between consecutive terms: 462 - 420 = 42, 420 - 380 = 40. The differences are decreasing by 2 each time. Following this pattern, the next difference should be 38. Therefore, X = 380 - 38 = 342. To verify, the next difference should be 36, and 342 - 36 = 306, which matches the final term in the sequence.
623
What is the traditional role associated with Brahma in Hindu mythology?
In Hindu mythology, the Trimurti consists of three deities: Brahma, Vishnu, and Shiva. Brahma is traditionally revered as the creator of the universe, while Vishnu is the preserver and Shiva is the destroyer. Based on this theological classification, the correct description for Brahma is the creator, which corresponds to option C provided in the list.
624
Given that P is the son of Q, Q and R are sisters, T is the mother of R, and S is the son of T, which statement is true?
Since Q and R are sisters and T is their mother, T is also the mother of Q. S is the son of T, making S the brother of Q. Because P is the son of Q, S is the brother of P's mother, which defines S as P's maternal uncle.
625
If the word BE QUICK is encoded as ZC OSGAI, what is the code for the last letter of the third word in the sentence I LOVE MY COUNTRY?
The cipher shifts each letter two positions backward in the alphabet. The third word in the sentence is MY. The last letter is Y. Shifting Y two positions backward (Y to X to W) results in W.
626
When the letters of the word 'BRAKES' are rearranged in alphabetical order, how many letters remain in their original positions?
The original word is B-R-A-K-E-S. Arranging these letters alphabetically results in A-B-E-K-R-S. Comparing the two sequences: B vs A, R vs B, A vs E, K vs K, E vs R, S vs S. The letters K and S occupy the same positions in both the original and the sorted list, totaling two letters.
627
If colors are renamed as follows: White is blue, blue is red, red is yellow, yellow is green, green is black, black is violet, and violet is orange, what is the color of human blood?
Human blood is naturally red. According to the provided substitution code, 'red' is referred to as 'yellow'. Therefore, in this specific coding system, the color of human blood is identified as yellow.
628
In the sequence '1 9 2 6 5 9 3 8 3 9 3 2 5 9 2 9 3 4 8 2 6 9 8', how many instances of the digit 9 are not immediately preceded by 5, but are immediately followed by either 2 or 3?
To solve this, we examine each occurrence of the digit 9. We exclude any 9 that has a 5 immediately before it. Among the remaining 9s, we count only those followed by a 2 or a 3. Following this systematic check of the provided string, we find that exactly one instance satisfies all the specified criteria.
629
Find the next number in the sequence: 2, 7, 27, 107, 427, ?
The sequence follows a pattern where the difference between consecutive terms increases by a factor of 4. Specifically, the differences are 5, 20, 80, and 320. The next difference is 320 multiplied by 4, which is 1280. Adding 1280 to 427 gives 1707.
630
Determine the next number in the sequence: 2, 7, 5, 5, 8, 3, 11, ...
This sequence is composed of two interleaved patterns. The first pattern (odd positions) is 2, 5, 8, 11, which increases by 3 each time. The second pattern (even positions) is 7, 5, 3, which decreases by 2 each time. Following this logic, the next term is the 8th position, which follows the second pattern: 3 minus 2 equals 1.
