Mathematical Logic MCQ Quiz
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Welcome to our Mathematical Logic MCQ quiz! If you're passionate about mathematics and enjoy solving logical puzzles, this quiz is tailor-made for you. Whether you're a student brushing up on your math skills, a professional looking to challenge your problem-solving abilities or just someone who loves a good mental workout, this quiz offers an engaging experience. Our quiz features a series of intriguing mathematical problems, ranging from basic arithmetic to more advanced logical challenges.
Challenge yourself, track your progress, and discover new problem-solving techniques in this interactive quiz. Share your results with friends or colleagues to see who can Read moresolve the most problems correctly and quickly. If you think you have good control over this subject, then you must take up this quiz. This math logic quiz consists of just a few simple questions that require fundamental math knowledge. Take this math logic test and see how well you can compute numbers in your head, how good you are at sequences, and if you can do basic math word problems.
Mathematical Logic Questions and Answers
- 1.
How many red marbles are there in a bowl containing 60 marbles, if one-third of the marbles are yellow and one-fourth of the marbles are blue?
- A.
30
- B.
25
- C.
28
- D.
32
Correct Answer
B. 25Explanation
In the bowl, there are 60 marbles in total. One-third of these marbles are yellow, which equals 20 marbles (60 divided by 3). One-fourth of the marbles are blue, which equals 15 marbles (60 divided by 4). To find out how many red marbles there are, subtract the number of yellow and blue marbles from the total. So, 60 - 20 (yellow) - 15 (blue) = 25 red marbles.Rate this question:
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- 2.
What is the next number in the sequence: 4, 16; 5, 25; 6, 36; 7, 49; 8, ____?
- A.
56
- B.
64
- C.
36
- D.
52
Correct Answer
B. 64Explanation
In this sequence, each second number is the square of the first number. For example, 4 squared (4 x 4) equals 16, 5 squared (5 x 5) equals 25, and so on. Following this pattern, the second number when the first number is 8 should be 8 squared (8 x 8), which equals 64. Thus, the next number in the sequence is 64.Rate this question:
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- 3.
What is the product of 26 and 8?
- A.
158
- B.
198
- C.
168
- D.
208
Correct Answer
D. 208Explanation
To find the product of 26 and 8, you multiply the two numbers. Multiplying 26 by 8, the calculation goes as follows: 26 times 8 equals 208. This operation combines the two numbers into a single, larger number, showing the basic principle of multiplication used in arithmetic to combine and increase values efficiently.Rate this question:
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- 4.
How many total legs are there if there are 4 dogs, 2 elephants, 15 cats, and 26 people?
- A.
98
- B.
110
- C.
136
- D.
142
Correct Answer
D. 142Explanation
To find the total number of legs, count the legs for each group and add them together. Dogs and cats each have 4 legs, so 4 dogs have 16 legs (4x4) and 15 cats have 60 legs (15x4). Elephants have 4 legs, so 2 elephants have 8 legs (2x4). People have 2 legs, so 26 people have 52 legs (26x2). Adding all these together, 16 (dogs) + 60 (cats) + 8 (elephants) + 52 (people) equals 142 legs in total. This shows how to combine totals from different groups.Rate this question:
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- 5.
John works 4 days per week and drives 10 miles round trip each day. If gas costs $2.50 per gallon and his car gets 20 miles per gallon, how much will he have spent on gasoline over 2 weeks?
- A.
$8.50
- B.
$10.00
- C.
$12.00
- D.
$9.50
Correct Answer
B. $10.00Explanation
To calculate John's gasoline expenses for 2 weeks, first determine the total miles he drives in that period. He drives 10 miles a day, 4 days a week, which totals 40 miles a week. Over 2 weeks, he drives 80 miles. Since his car gets 20 miles per gallon, he uses 4 gallons of gas in 2 weeks (80 miles ÷ 20 miles/gallon). At $2.50 per gallon, his total cost is $10.00 (4 gallons × $2.50/gallon). This calculation shows how to manage budgeting for regular expenses like commuting.Rate this question:
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- 6.
What is the next letter in the sequence: J, F, M, A, M, J, ____?
- A.
A
- B.
J
- C.
K
- D.
F
Correct Answer
B. JExplanation
This sequence represents the first letter of the month of the year. J for January, F for February, M for March, A for April, M for May, and J for June. Following this pattern, the next letter represents July, which also starts with a J. This kind of sequence is common in puzzles that require recognition of patterns in alphabets or symbols associated with time or specific sequences.Rate this question:
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- 7.
What is the product of 204 and 51?
- A.
12,661
- B.
10,404
- C.
10,400
- D.
11,704
Correct Answer
B. 10,404Explanation
To calculate the product of 204 and 51, you multiply the two numbers together. The calculation proceeds as follows: 204 multiplied by 51 equals 10,404. This result is achieved through straightforward multiplication, which involves combining the quantities represented by these numbers into a single total. This operation demonstrates the utility of multiplication in efficiently finding the total amount when one quantity is repeated multiple times.Rate this question:
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- 8.
What is the result of dividing 100 by 0?
- A.
0
- B.
100
- C.
Undefined
- D.
10
Correct Answer
C. UndefinedExplanation
Dividing any number by zero does not produce a meaningful result. In mathematics, this operation is considered undefined because there is no number that is multiplied by 0 and gives a non-zero number, such as 100. This concept is crucial because it highlights the limitations within arithmetic operations, where division by zero is not possible. This principle maintains the consistency and integrity of mathematical laws.Rate this question:
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- 9.
Jack catches 32 fish on Saturday. On Sunday, he catches 1/4 the amount he caught on Saturday. On Monday, he catches 1/2 the fish he caught on Saturday and Sunday combined. How many fish did Jack catch on Monday?
- A.
24
- B.
16
- C.
18
- D.
20
Correct Answer
D. 20Explanation
To solve this, first calculate the number of fish Jack catches on Sunday: 1/4 of 32 fish is 8 fish. Then, add Saturday's and Sunday's totals: 32 fish + 8 fish = 40 fish. Finally, find out how many fish Jack catches on Monday by taking 1/2 of the total from Saturday and Sunday, which is 1/2 of 40 fish = 20 fish. This problem demonstrates basic fraction and multiplication operations applied to real-life situations, emphasizing how proportional reasoning helps solve problems.Rate this question:
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- 10.
Ned normally sells apples for 40 cents each, but today they are on sale for 5 for $1. How much money would you save if you bought 16 apples at the sale price?
- A.
$3.20
- B.
$2.40
- C.
$2.60
- D.
$3.00
Correct Answer
B. $2.40Explanation
To calculate the savings, first determine the total cost at the regular price and the sale price. Normally, 16 apples at 40 cents each would cost $6.40 (16 x $0.40). With the sale, 16 apples, priced at 5 for $1, cost $3.20 (as 3 groups of 5 apples cost $3 and 1 extra apple costs $0.20, totaling $3.20). The savings is the difference between the regular price and the sale price, which is $6.40 - $3.20 = $3.20. This example demonstrates how to compare costs to determine savings during sales, a useful skill in financial literacy.Rate this question:
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Current Version
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Jul 23, 2024Quiz Edited by
ProProfs Editorial Team
Expert Reviewed by
Janaisa Harris -
Jun 05, 2010Quiz Created by
Geotilley
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