Mathematics
Statement I: Karishma earns a monthly salary of ₹50,000. She donates ₹5000 to charity and spends ₹6000 for groceries. The reciprocal of the fraction corresponding to her savings is .
Statement II: As , therefore, and are reciprocals of each other.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Fractions
3 Likes
Answer
According to Statement I,
Total salary = ₹50,000.
Total spent = 5000 + 6000 = ₹11,000.
Savings = 50,000 - 11,000 = ₹39,000.
Fraction of savings = .
Reciprocal of = .
∴ Statement I is true.
According to Statement II, two numbers are reciprocals of each other if their product is 1.
.
So, and are reciprocals of each other.
∴ Statement II is true.
Both Statement I and Statement II are true.
Hence, option 3 is the correct option.
Answered By
2 Likes
Related Questions
Statement I: is a mixed fraction.
Statement II: A natural number added to a proper fraction forms an improper fraction.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Statement I: An orchard has a total area of 1000 m2. Given that 200 m2 of the orchard has been used for mango trees, 500 m2 has been used for apple trees and the remaining area is unused. The fraction of the orchard that is unused is .
Statement II: All natural numbers can be written as improper fractions.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
State whether the following statements are true (T) or false (F):
(i) The fraction lies between 2 and 3
(ii) To find an equivalent fraction to a given fraction, we may add or subtract the same (non-zero) number to its numerator and denominator.
How many natural numbers are there between 102 and 112? What fraction of them are prime numbers?