Mathematics
Assertion: The product of two proper fractions is less than each of the fractions. Reason: For any two fractions and , we have, . 1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A). 2. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A). 3. Assertion (A) is true but Reason (R) is false. 4. Assertion (A) is false but Reason (R) is true.
Related Questions
Write true (T) or false (F):
(i) In an improper fraction, the numerator is always greater than the denominator.
(ii) The product of two proper fractions can be an improper fraction.
(iii) Any improper fraction is always greater than any proper fraction.
(iv) Every unit fraction is equal to 1.
(v) The reciprocal of a proper fraction is an improper fraction.
(vi) The product of two proper fractions is always greater than each of the two proper fractions.
(vii) There exists a fraction whose multiplicative inverse is equal to the fraction itself.
(viii) The product of a proper fraction and and an improper fraction is always less than the improper fraction.
Assertion: Reciprocal of an improper fraction is a proper fraction.
Reason: Reciprocal is also known as multiplicative inverse.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.