Find the fourth proportional to the numbers 60, 48, 30.
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ASF Inspector PAST PAPER SOLVED 2024 PDF Batch 1 ASF PAST PAPER SOLVED 2026 Mathematics McqsMathematics Mcqs
Ali is younger than Zia by 10 years. If 5 years back their ages were in the ratio 1:2, how old is Zia?
Let Zia's current age be Z. Ali's age is Z-10. Five years ago, their ages were (Z-15) and (Z-5). The ratio (Z-15)/(Z-5) = 1/2, which solves to Z=25. Options A and B are incorrect calculations.
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4 + 4.44 + 44.4 + 4.04 + 444 = ?
Adding the numbers: 4.00 + 4.44 + 44.40 + 4.04 + 444.00 equals 500.88. Careful alignment of decimal points during addition is crucial to avoid errors. Options A, B, and D result from incorrect summation.
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If the given value is 16a + 16b = 48. What is the average of a and b?
Given 16a + 16b = 48, divide by 16 to get a + b = 3. The average of a and b is (a + b) / 2. Substituting the value, the average is 3 / 2. Other options are intermediate steps or incorrect final averages.
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If an alloy contains copper and silver in the ratio 3:7, then the percentage quantity of silver in the alloy is:
The ratio of copper to silver is 3:7, meaning there are 3 parts copper and 7 parts silver, totaling 10 parts. The fraction of silver is 7/10. To find the percentage, multiply by 100%, which gives 70%. Options A and C are incorrect percentages.
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A mixture contains 12% copper. How many kg of mixture is required to get 69 kg of copper?
To determine the total quantity of mixture required, we need to understand that the 69 kg of copper represents 12% of the total mixture. Let 'X' be the total mass of the mixture in kg. The problem can be set up as a simple percentage equation: 12% of X = 69 kg.
To solve for X, we convert the percentage to a decimal: 0.12. So, the equation becomes 0.12 * X = 69. Dividing both sides by 0.12 gives us X = 69 / 0.12. Performing this calculation, X = 575 kg. Therefore, 575 kg of the mixture is required to obtain 69 kg of copper. Options (A) 424 kg and (C) 828 kg are incorrect as they do not satisfy the given percentage relationship, likely resulting from miscalculations or incorrect application of the percentage concept.
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The mean of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, the correct mean is:
The correct mean is calculated by adjusting the total sum for the wrongly recorded items and then dividing by the total number of items.
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Factorization of the expression y^2 + y-6 is?
- (y+2)(y-3)
- (y+3)(y-2)
- (y+3)(x-4)
- None
Explanation
To factorize the expression y^2 + y – 6, we need to find two numbers whose product is -6 and whose sum is 1 (the coefficient of the middle term).
These numbers are 3 and -2, so we can write:
y^2 + y – 6 = (y + 3)(y – 2)
Three candidates in an election received 1136, 7636, and 11628 votes respectively. What percentage of total votes did the winning candidate get?
The correct answer is (A) 57%. To determine the percentage of total votes the winning candidate received, we first need to calculate the total number of votes cast. Summing the votes for all three candidates: 1136 + 7636 + 11628 = 20400 votes. The winning candidate is the one with the highest number of votes, which is 11628. To find the percentage, we divide the winning candidate's votes by the total votes and multiply by 100: (11628 / 20400) * 100 = 0.57 * 100 = 57%. Options like 60% or 76.4% are incorrect as they do not reflect the actual vote distribution based on the given numbers. This calculation demonstrates the clear majority obtained by the leading candidate in this election.
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The civil war (1992-2002) is also known as the black decade.
A) Tajikistan
(B) Algerian
(C) Sudanese
(D) None of these
The correct answer is (B) Algerian
The Algerian civil war (1992-2002) is also known as the Black Decade.
It was a period of intense violence.
It was conflict between the government and Islamist insurgents (11 January 1992 to 8 February 2002)
If the coordinates of a point are (-5, 0), then it lies in:
A point with a y-coordinate of 0, such as (-5, 0), always lies on the X-axis. Quadrants are defined by non-zero x and y values, making options A, B, and C incorrect for this specific coordinate.
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The range of the probability of each event lies between:
- a. 0 & 0.5
- b. 0 & 1
- c. 0.8 & 2
- d. 0 & 3
What is the average of the numbers: 0, 0, 4, 10, 5 and 5?
The correct answer is 4, based on the unstated problem's specific requirements or calculation. Options 5, 2, and 3 are incorrect as they do not fulfill the conditions implied by the question.
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The sides of a triangle are in the ratio 3:4:5. If the perimeter is 24 cm, what is the length of the longest side?
The correct answer is 10 cm, likely representing a specific dimension or result in a geometric problem. Options 6 cm, 8 cm, and 12 cm are incorrect as they do not match the calculated or given value.
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Simplify ( 2^3 * 3^2 ):
The correct answer is 72, which is the result of the implied mathematical operation or sequence. Options 12, 18, and 24 are incorrect because they do not align with the problem's specific calculation or pattern.
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The average of the first five prime numbers is:
The correct answer is 5.6. This value is the accurate response based on the underlying problem, making options 5.4, 5.5, and 5.7 incorrect alternatives. The specific calculation or fact supports 5.6 as the sole correct choice.
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The sum of the deviations of the variable Y from its mean is always equal to:
The correct answer is Zero. This value accurately represents the outcome or state described by the question, rendering Negative, Same, and One as incorrect options. The problem's conditions specifically lead to a zero result.
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Which formula represents compound interest?
- P(1 + rt)
- P (P x r x t)
- P(1 + r/n)^(nt)
- P + (P x r x t)
Expand 4ab.
- a² + b²
- a² – b²
- (a + b)² – (a – b)²
- (a + b)² + (a – b)²