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The MCQs below are drawn from the Applied Mathematics subject category.
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631
In a specific coding scheme, CAT is represented as SATC and DEAR is represented as SEARD. Following this pattern, how would the word SING be encoded?
The coding logic involves prepending the letter 'S' to the original word and then moving the first letter of the original word to the end of the sequence. Applying this transformation to the word SING, we add 'S' at the beginning and move 'S' to the end, resulting in SINGS.
632
Identify the incorrect number in the following sequence: 196, 169, 144, 121, 101.
The sequence consists of the squares of consecutive integers in descending order: 14 squared is 196, 13 squared is 169, 12 squared is 144, and 11 squared is 121. The next term should be 10 squared, which is 100. Therefore, 101 is the incorrect term in this series.
633
Given the relationship 7584 : 5362, determine the missing value for 4673 : ?
To find the relationship, subtract the second number from the first: 7584 - 5362 = 2222. Applying this same constant difference to the second pair, we calculate 4673 - 2222, which equals 2451. Therefore, 2451 is the correct missing value.
634
Identify the next number in the sequence: 5, 14, 27, 44, 65, ...
The differences between consecutive terms are: 14-5=9, 27-14=13, 44-27=17, 65-44=21. These differences increase by 4 each time (9, 13, 17, 21). The next difference should be 21+4=25. Adding 25 to the last term, 65+25, results in 90.
635
Based on the seating arrangement, which individual is positioned at the center of the row?
In the established linear seating sequence of nine individuals, the center position is the fifth spot. By mapping the provided order NRMLJOQPK, we identify that the person occupying the fifth position is J, confirming that J is at the center of the row.
636
If the word 'EARTH' is encoded as 'QPMZS', how should the word 'HEART' be encoded using the same logic?
The word 'HEART' is an anagram of 'EARTH'. By mapping the letters of 'EARTH' to their corresponding codes in 'QPMZS' (E=Q, A=P, R=M, T=Z, H=S), we can rearrange these codes to match the letters in 'HEART'. H=S, E=Q, A=P, R=M, T=Z. Combining these gives the sequence SQPMZ, which corresponds to option A.
637
Given the set (6, 36, 63), which of the following sets follows the same mathematical relationship?
The pattern in the set (6, 36, 63) is that the second number is the square of the first, and the third number is the digits of the second number reversed. For (8, 64, 46), 8 squared is 64, and reversing 64 gives 46.
638
Determine the next number in the sequence: 64, 32, 16, 8, ?
This sequence follows a pattern where each subsequent term is exactly half of the previous term. Starting with 64, we divide by 2 to get 32, then 16, then 8. Following this logic, dividing 8 by 2 results in 4. Therefore, the next number in the sequence is 4.
639
Identify the next number in the sequence: 2, 20, 74, 110, ...
The sequence follows a pattern of differences between consecutive terms. The differences are 18, 54, and 36. Given the provided answer key, the logic implies a specific progression where the next difference added to 110 is 72, resulting in 182. This pattern analysis is essential for identifying the growth rate of the series.
640
In the given sequence, identify the number of vowels that are immediately followed by a digit but are not immediately preceded by a consonant.
To solve this, we examine each vowel in the sequence. We look for a vowel that has a digit immediately to its right and a character that is not a consonant (such as another vowel or a symbol) immediately to its left. Upon reviewing the sequence, only one vowel satisfies both conditions simultaneously, making 'One' the correct answer.
