Karan spent half of his pocket money to buy a pair of shoes. He spent half the remaining for a book. He also spent half the remaining to buy a gift. He was left with ₹ 350. With how much money he started his shopping?
A small tank is $\frac{2}{5}$ full of water. The water is then poured into a large empty tank which has a capacity which is twice that of the small tank. What fraction of the large tank is filled with water?
In the picture shown, there is a glass of water. The glass was completely full of water in the beginning. Ravi drank some portion of it. The glass now looks as shown. Ravi says, "he drank more than half of water". While his mother says, "he drank only half". Who is right here?
Assertion (A) : Half of a number is obtained by dividing it by 2. Reason (R) : The fractions $\frac{x}{y}$ and $\frac{y}{x}$ are multiplicative inverse of each other.
A
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).
C
Assertion (A) is true but Reason (R) is false,
D
Assertion (A) is false but Reason (R) is true.
Answer
Correct option: B.
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) : The sum of two fractions is always a fraction. Reason (R) : For two fractions $\frac{a}{b}$ and $\frac{c}{d}$, we have $\frac{a}{b}+\frac{c}{d}=\frac{a d+b c}{b d}$
A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
B
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).