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Percentages
What is 5 percent of 5?
Explanation and memory cue
“5 percent” means 5/100. So 5% of 5 = (5/100)×5 = 25/100 = 0.25, which matches option A.
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Percentages
What is 5 percent of 5?
“5 percent” means 5/100. So 5% of 5 = (5/100)×5 = 25/100 = 0.25, which matches option A.
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Number Series
Find the odd one out in the following sequence: 2, 5, 10, 17, 26, 37, 50, 64.
The pattern in the sequence is: add 3, 5, 7, 9, 11, 13, and 15 to each previous number. The last number should be 65 (50 + 15), not 64. Therefore, 64 is the odd one out.
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Time and Work
A tailor had a number of shirt pieces to cut from rolls of fabric. He cut each roll of equal length into 10 pieces, making 45 cuts per minute. How many rolls would be cut in 24 minutes?
To cut one roll into 10 pieces, the tailor needs 9 cuts per roll. In 24 minutes at 45 cuts per minute, he makes 24 × 45 = 1080 cuts. 1080 cuts ÷ 9 cuts per roll = 120 rolls.
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Number Series
Find the missing number in the sequence: 16, 33, 65, 131, 261, ___?
The pattern in the sequence is that each number is multiplied by 2 and then 1 is added: 16×2+1=33, 33×2-1=65, 65×2+1=131, 131×2-1=261, 261×2+1=523. Thus, the missing number is 523.
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Percentages
What number is 25% of 150?
25% of 150 is calculated as (25/100) × 150 = 37.5. Therefore, the correct answer is 37.5.
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Order Of Operations
In a computer spreadsheet, what is the value of the formula (7-3) × (1+6) / 4?
The formula (7-3) × (1+6) / 4 evaluates as follows: (7-3) = 4, (1+6) = 7, so 4 × 7 = 28, then 28 / 4 = 7. Therefore, the correct answer is 7, which corresponds to option A.
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History Of Algebra
“Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wa’l-muqābala” was written by: _ _ _ _ _ _ _ _?
"Al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wa’l-muqābala" (The Compendious Book on Calculation by Completion and Balancing) was written by Al-Khwarizmi, who is considered the father of algebra. This work laid the foundations for algebra as a discipline.
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Mathematical Awards
The 'Ciprian Foias Prize' is associated with which field?
The Ciprian Foias Prize is awarded in the field of Mathematics, recognizing outstanding contributions in this area. Ciprian Foias was a renowned mathematician, and the prize named after him honors achievements in mathematical research.
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Geometry
A right-angled prism has how many faces?
A right-angled prism, commonly known as a rectangular prism or cuboid, has 6 faces. These include the top, bottom, front, back, and two side faces.
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Geometry
Who is known as the Father of Geometry?
Euclid is known as the Father of Geometry because of his foundational work 'Elements,' which systematically organized the principles of geometry.