MCQ
Numbers and Number System MCQ - Practice Questions with Answers
Solve 9 Numbers and Number System questions for RAS/RPSC preparation.
Practice questions
Q1Arrange the following numbers in ascending order as a Class IV learner would after comparing place values: 8,063 ; 8,036 ; 8,603 ; 8,360.
All four numerals share the same thousands digit 8, so a Class IV learner moves to the hundreds place to compare. The hundreds digits are 0, 0, 3 and 6 respectively. Within the same hundreds digit, the tens place is checked next, and only after that the ones place. Working position by position gives the order 8,036 then 8,063 then 8,360 then 8,603. That sequence matches option C and matches the standard ascending comparison taught in primary mathematics.
Q2Match the Roman numeral in List I with its Hindu-Arabic value in List II that a Class V learner should know. List I: (a) IX, (b) XL, (c) VI, (d) XC. List II: (1) 90, (2) 9, (3) 6, (4) 40. Choose the correct match.
Class V learners apply two rules in Roman numerals: a smaller numeral placed before a larger one is subtracted, and a smaller numeral placed after a larger one is added. So IX is 10 minus 1 equals 9, XL is 50 minus 10 equals 40, VI is 5 plus 1 equals 6, and XC is 100 minus 10 equals 90. The matching pairs are therefore a-2, b-4, c-3, d-1, which is option B. The other options shuffle these pairs and would teach an incorrect rule.
Q3A primary teacher hears one learner say, ten is the largest one-digit number. Which of the following is the most accurate response that also clears the misconception?
Whether a number is a one-digit number depends on how many digits its standard Hindu-Arabic numeral uses. The numerals from 0 to 9 each use exactly one digit, so the largest one-digit number is 9. The numeral for ten uses two digits, the digit 1 in the tens column and the digit 0 in the ones column, so ten is a two-digit number. The teacher response should explicitly point this out so the learner sees the digit count, not just the spoken word, decides the category.
Q4How many distinct factors does the number 24 have, as a Class V learner would list using the divisibility rules introduced in primary mathematics?
A factor of 24 is any whole number that divides 24 with no remainder. Pairing factors helps a Class V learner not miss any: 1 multiplied by 24 gives 24, 2 multiplied by 12 gives 24, 3 multiplied by 8 gives 24, and 4 multiplied by 6 gives 24. Listing both numbers from each pair gives 1, 2, 3, 4, 6, 8, 12 and 24, which is eight distinct factors. Forgetting 1 or 24, or forgetting the pair partner of 8 or 12, leads to the smaller counts in the other options.
Q5Consider the following numbers between 11 and 30: 12, 15, 17, 21, 22, 25, 27, 28. How many of these are odd numbers as understood by a Class V learner?
Class V learners check the ones digit to decide if a number is odd. A number whose ones digit is 1, 3, 5, 7 or 9 is odd, while a number ending in 0, 2, 4, 6 or 8 is even. From the given list, the odd numbers are 15, 17, 21, 25 and 27, which makes five odd numbers. The remaining three numbers 12, 22 and 28 end in 2 or 8 and are therefore even.
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More questions
6Examine the following two statements about prime and composite numbers as introduced at the Class V level. Statement 1: The number 1 is neither prime nor composite, since a prime number must have exactly two distinct factors and 1 has only one factor. Statement 2: The number 9 is a prime number because it is odd and not divisible by 2. Which of the following is correct?
7A teacher is helping a Class III learner build the concept of place value using bundles of ten sticks. Which of the following statements about her teaching choice is INCORRECT?
8Assertion (A): A teacher of Classes I to V should treat zero as a digit with full status when introducing the place value system, and not as nothing or empty space. Reason (R): Zero acts as a place-holder so that 207 is read as two hundred seven and not as twenty-seven, which is essential for primary learners to read multi-digit numerals correctly. Choose the correct option.
9In the number 4,57,308 written in the Indian place value system, what is the place value of the digit 5?