Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
31
Identify the next term in the complex series: 1, 2, 6, 21, 88, ...
Answer:
445
The pattern involves multiplying the previous term by its positional integer and adding that same integer. (1x1)+1=2; (2x2)+2=6; (6x3)+3=21; (21x4)+4=88. The next operation is (88x5)+5 = 440+5 = 445.
32
What will come next in the given series: 2, 2, 4, 6, 10, 16, ...?
Answer:
26
This series functions identically to the Fibonacci sequence, where each term is the sum of the two previous terms, but it starts with 2 and 2. Adding 10 and 16 gives the next logical term, 26.
33
Find the next number in the Fibonacci series: 1, 1, 2, 3, 5, 8, 13, ...
Answer:
21
The Fibonacci sequence operates on the rule that every term (starting from the third) is the sum of the two immediately preceding terms. Therefore, adding the last two terms (8 + 13) provides the next number, which is 21.
34
What comes next in the sequence: 18, 9, 9, 13.5, 27, ...?
Answer:
67.5
Applying the pattern of incrementally increasing multipliers (0.5, 1, 1.5, 2), the final operation to find the next sequence value is multiplying 27 by 2.5. The calculation 27 x 2.5 yields 67.5.
35
Find the missing number in the series: 14, 7, 7, 10.5, 21, ...
Answer:
52.5
The multiplier increases by 0.5 iteratively. Following the pattern of *0.5, *1, *1.5, *2, the next required operation is to multiply the current last term by 2.5. Consequently, 21 x 2.5 = 52.5.
36
What is the next number in the series: 20, 10, 10, 15, 30, ...?
Answer:
75
This pattern functions by multiplying the sequence terms by consecutively increasing values: x0.5, x1, x1.5, x2. The next logical mathematical operation is to multiply 30 by 2.5, returning 75.
37
Identify the next term in the sequence: 16, 8, 8, 12, 24, ...
Answer:
60
The terms are determined by multiplying the previous term by 0.5, 1.0, 1.5, and 2.0 sequentially. Extending this logical progression, the next multiplier is 2.5. Thus, 24 x 2.5 gives 60.
38
Which number completes the series: 12, 6, 6, 9, 18, ...?
Answer:
45
The series rule applies sequential multipliers of 0.5, 1, 1.5, and 2 to the preceding terms. To uncover the next number, we continue the pattern with a multiplier of 2.5, yielding 18 x 2.5 = 45.
39
Find the next number in the series: 6, 3, 3, 4.5, 9, ...
Answer:
22.5
The sequence dictates that each term is multiplied by a steadily increasing value starting from 0.5 and going up in 0.5 increments (0.5, 1, 1.5, 2). Following this rule, the next operation is 9 x 2.5, which equals 22.5.
40
What number comes next: 10, 5, 5, 7.5, 15, ...?
Answer:
37.5
The multipliers applied sequentially are 0.5, 1.0, 1.5, and 2.0. For the next term in the sequence, the multiplier becomes 2.5. Calculating 15 x 2.5 provides the correct answer of 37.5.