MCQ
Four Operations and Fractions MCQ - Practice Questions with Answers
Solve 9 Four Operations and Fractions questions for RAS/RPSC preparation.
Practice questions
Q1How many distinct factors does the number 24 have, when all positive whole-number factors from one up to twenty-four are listed?
List the factors of 24 by pairing: 1 and 24, 2 and 12, 3 and 8, 4 and 6. That gives the set 1, 2, 3, 4, 6, 8, 12, 24, which has eight distinct values. So 24 has eight factors, matching option A.
Q2Read four statements about division of whole numbers at the primary stage and identify the one that is correct. Statement 1: Dividing any non-zero whole number by zero gives zero as the quotient. Statement 2: When the dividend is smaller than the divisor, the quotient is always more than one. Statement 3: In long division, the remainder must always be smaller than the divisor. Statement 4: Division and multiplication are unrelated operations and should be taught separately without linking them.
In long division, the remainder is always strictly smaller than the divisor; otherwise the quotient could be increased by one and the divisor could be subtracted again. Statement 3 captures this rule, so it is correct. The other statements violate division-by-zero conventions, the dividend-smaller-than-divisor case, and the well-known division-multiplication inverse link.
Q3Consider the following statements about the lowest common multiple (LCM) of two whole numbers. Statement 1: The lowest common multiple of two numbers is divisible by each of those numbers. Statement 2: The lowest common multiple of two co-prime numbers is the product of the two numbers. Statement 3: The lowest common multiple of two numbers can be smaller than each individual number. Statement 4: For any two whole numbers, the product of their highest common factor and lowest common multiple equals the product of the two numbers. Which combination of statements is correct?
Statement 1 is true because every common multiple, including the smallest, must be divisible by each number. Statement 2 holds because co-prime numbers share no factor besides one, so their product is the smallest common multiple. Statement 4 is the standard product rule learners meet in Class V. Statement 3 is wrong: a common multiple is at least as large as the bigger of the two numbers, never smaller. So the correct combination is 1, 2 and 4.
Q4A primary teacher writes the addition fact 247 + 168 on the board and asks Class III learners to find the sum. Which value is correct?
Add the ones first: 7 + 8 = 15, write 5 carry 1. Tens: 4 + 6 + 1 = 11, write 1 carry 1. Hundreds: 2 + 1 + 1 = 4. The sum is 415, which is option A.
Q5Arrange the following four fractions in strictly increasing order: one-half, two-thirds, three-fourths, five-eighths. Choose the correct order.
Convert each fraction using a common denominator of twenty-four: one-half equals twelve-twentyfourths, two-thirds equals sixteen-twentyfourths, three-fourths equals eighteen-twentyfourths, and five-eighths equals fifteen-twentyfourths. Sorting the numerators in increasing order gives twelve, fifteen, sixteen, eighteen, which corresponds to one-half, five-eighths, two-thirds, three-fourths. So option C is correct.
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More questions
6Match each fraction in List I with its correct description in List II. List I: (1) seven-fourths, (2) three-eighths, (3) four-fourths, (4) two-and-one-third. List II: (P) proper fraction, (Q) improper fraction, (R) mixed number, (S) fraction equal to one whole. Choose the correct matching.
7A Class V learner is asked to find the highest common factor of 36 and 48 using prime factorisation. Which value is the correct highest common factor (HCF)?
8Read the assertion and the reason about subtraction at the primary stage and choose the correct option. Assertion: When subtracting 502 from 800, the learner must regroup across a zero in the tens place. Reason: The minuend has a zero in the tens column, so the borrowing has to come from the hundreds digit before the tens can lend to the ones.
9Consider the following two statements about adding fractions at the primary stage. Statement 1: When two like fractions are added, only the numerators are added and the common denominator is kept the same. Statement 2: When two unlike fractions are added, the denominators are added together to form the new denominator and the numerators are added to form the new numerator. Which is correct?