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Fixed Effects, Random Effects, and Multilevel Modeling MCQs

Prepare for Fixed Effects, Random Effects, and Multilevel Modeling MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

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Practice Questions

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390987 MCQs Page 32770

Topic Notes: Statistics

These notes summarize the key preparation context before you attempt the MCQs. Review the topic focus, then practice the questions below with answers and explanations.

Quick Overview

Practice Statistics MCQs to prepare for CSS, PMS, FPSC, PPSC, SPSC, KPPSC, BPSC, NTS, and university entry tests in Pakistan. This section covers key theoretical concepts, syllabus topics, and repeated past paper questions related to Statistics.

Topic-Wise Breakdown
Structured subject modules organized by difficulty and exam frequency.
Verified Answer Keys
Detailed explanations cross-referenced with standard textbooks and commission keys.
Complete Coverage
Covers fundamental definitions, advanced problem-solving, and recent exam trends.

How to Prepare Statistics MCQs for Competitive Exams

Review each sub-topic systematically. Start with fundamental concepts, practice multiple-choice question sets under timed conditions, and note down questions you missed in your revision tracker. Select a specific topic from the list below to begin practice.

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327691
In a library, 20% of books are in Hindi, 50% of the remaining in English, and 30% of the remaining in French. The remaining 6300 books are regional. Total books?
327692
A man gave 30% of his money to his wife, 40% of the remainder to his son, and the remaining Rs 4200 to his daughter. Find the total money he had.
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If the numerator of a fraction is increased by 20% and the denominator is decreased by 10%, the fraction becomes 16/21. What was the original fraction?
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A vessel contains 60 liters of pure milk. 6 liters are drawn and replaced by water. This is repeated once more. What percentage of original milk is left?
327695
10% of a mixture of sand and cement is sand. If 10 kg of sand is added to 40 kg of the mixture, what is the new percentage of sand?
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A sphere's radius is increased by 10%. Its volume increases by?
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If the radius of a cylinder is decreased by 50% and height increased by 50%, what is the change in volume?
327698
The length and breadth of a rectangle are increased by 20% and 25% respectively. The percentage increase in area is?
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The side of a square increases by 10%. The percentage increase in its perimeter is?
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A solution of salt and water contains 5% salt by weight. If 20 liters of water evaporates and the solution now contains 15% salt, find the original quantity of solution.