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The MCQs below are drawn from the Pure Mathematics subject category.
Showing 601–610
of 718 MCQs
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601
In a class, N is 5th from the start and S is 8th from the end. If T is 6 positions after N and sits exactly between N and S, what is the total number of students in the class?
N is 5th from the start. T is 6 positions after N, so T is 11th from the start. Since T is the midpoint between N (5th) and S, we calculate S's position: (5 + S) / 2 = 11, which means S is 17th from the start. With S being 8th from the end, the total is 17 + 8 - 1 = 24 students.
602
In a row of boys, A is 13th from the left and 11th from the right. D is 17th from the right. What is D's position from the left?
First, calculate the total number of boys in the row using A's position: (13 + 11) - 1 = 23 boys. Since D is 17th from the right, his position from the left is calculated by subtracting his right-side rank from the total and adding one: (23 - 17) + 1 = 7th position from the left.
603
If the word 'ROAST' is encoded as 'PQYUR', how would the word 'SLOPPY' be encoded using the same logic?
The encoding pattern involves shifting letters alternately. For 'ROAST' to 'PQYUR', the shifts are -2, +2, -2, +2, -2. Applying this same alternating shift pattern to 'SLOPPY': S-2=Q, L+2=N, O-2=M, P+2=R, P-2=N, Y+2=A. This results in the code QNMRNA.
604
Which individual possesses the same combination of compulsory and optional subjects as F?
Upon reviewing the subject distribution for each individual, it is observed that while E shares the same set of subjects as F, the roles of compulsory and optional subjects are reversed. Since no other individual matches the specific configuration of compulsory and optional subjects held by F, the correct conclusion is that none of the listed options are valid.
605
If the word ORGANISATION is represented as CBDWLQJWYQCL and OPERATION as CXFBWYQCL, determine the coded representation for SEPARATION.
By analyzing the letter-to-letter mapping provided in the examples for ORGANISATION and OPERATION, we can deduce the specific substitution pattern used for each character. Applying this consistent logic to the word SEPARATION, we map each letter to its corresponding code, which results in the sequence JFXWBWYQCL as indicated in the provided answer key.
606
In a given sequence, which element is located sixth to the left of the eighteenth element from the left?
To find the position, subtract the leftward shift from the initial position. The eighteenth element from the left minus six positions equals the twelfth element from the left. By counting through the sequence, the twelfth element is identified as 8. This logic holds for any ordered linear arrangement of elements.
607
In a given sequence, how many numbers are immediately preceded by a consonant and immediately followed by a symbol?
To solve this, we scan the sequence for the pattern [Consonant][Number][Symbol]. By identifying elements that fit this specific criteria, we find two instances where a number is flanked by a consonant on the left and a symbol on the right.
608
Given a sequence, if all elements following the middle element are reversed, which element is located at the seventh position to the right of the twelfth element from the left?
By identifying the middle element of the sequence and reversing the subsequent portion, we can determine the new positions. Counting twelve places from the left end identifies the reference point, and moving seven positions to the right from there leads to the element 'T' as specified in the problem.
609
Identify the next number in the following sequence: 5, 3, 6, 2, 7, 1, ?
This sequence consists of two interleaved series. The first series starts at 5 and increases by 1 each time (5, 6, 7, ...). The second series starts at 3 and decreases by 1 each time (3, 2, 1, ...). Following the pattern of the first series, the next term after 7 must be 8.
610
In a specific code, '3a, 2b, 7c' means 'truth is eternal', '7c, 9a, 8b, 3a' means 'enmity is not eternal', and '9a, 4d, 2b, 8b' means 'truth does not perish'. Which code represents 'enmity'?
By comparing the phrases, we identify that 'is' and 'eternal' correspond to '3a' and '7c'. In the second phrase, 'enmity is not eternal', the remaining codes are '9a' and '8b'. Since '9a' appears in the third phrase 'truth does not perish', it must mean 'not'. Thus, '8b' represents 'enmity'.
