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.

MCQS

Practice Questions

Practice with answers, explanations, and exam-focused revision notes.

390987 MCQs Page 32766

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.

Session Progress 0 / 0 Solved
Reveal answers to start tracking your session progress!
327651
If 10% of x is the same as 20% of y, then x : y is equal to:
327652
The ratio of two numbers is 3 : 8, and their difference is 115. The larger number is:
327653
In a mixture of 45 liters, the ratio of milk and water is 4 : 1. How much water must be added to make the mixture ratio 3 : 2?
327654
Seats for Mathematics, Physics, and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50%, and 75% respectively. What will be the ratio of increased seats?
327655
The ratio of the present ages of a mother and daughter is 7 : 1. Four years ago, the ratio of their ages was 19 : 1. What will be the mother's age four years from now?
327656
A box contains Rs. 56 in the form of coins of one rupee, 50 paise, and 25 paise. The number of 50 paise coins is double the number of 25 paise coins and four times the number of one rupee coins. How many 50 paise coins are there?
327657
A, B, and C enter into a partnership. A invests 3 times as much as B, and B invests two-thirds of what C invests. At the end of the year, the profit earned is Rs. 6600. What is B's share?
327658
If 0.75x = 0.5y, then x : y is:
327659
A sum of Rs. 427 is to be divided among A, B, and C such that 3 times A's share, 4 times B's share, and 7 times C's share are all equal. Find the share of C.
327660
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?