Question
If 25 is added to the numerator of a fraction and its
denominator is multiplied by 10, the value of the fraction increases by 35%. What is the numerator of the original fraction?Solution
Let the original fraction be = x/y According to the question, (x + 25)/(y x 10) = (x/y) x (135/100) (x + 25)/10y = (27x/20y) Or, 270xy = 20xy + 500y Or, 250xy = 500y Or, x = 2 So, numerator of the original fraction = 2
- The Anti-Defection Law was introduced through which Constitutional Amendment Act?
- Which Governor-General during British rule initiated the appointment of Indians as judges?
Match the following committees with their domain of work:
Which Indian state's residents are exempt from paying income tax due to specific constitutional provisions?
Who authored the book Anandmath, which inspired the Indian freedom movement with the song Vande Mataram?
- Cilia are small hair-like structures found in the human body. Which system of the body do they belong to?
Which ancient city in Uttar Pradesh is known as the oldest continuously inhabited city in the world?
Which observance is held annually on the first Tuesday of May?
Where is the World Para Athletics Championships 2025 held?
- Match the algae classes with their common names:
Column A (Class) :
i. Chlorophyceae
ii. Phaeophyceae
iii. Rhodophyceae
iv. Cyanophyceae