Question
If the diameter of a wire is decreased by
10%, by how much percent (approximately) will the length be increased to keep the volume constant ?Solution

Let a=i+j+k, b=2i+j−k, and c=a×b. The angle between c and a is:
The ratio of the cost price of the Blender and Food Processor is 4:3. The marked price of the Blender is 30% higher than its cost price, while the marke...
24.5% of 400 + 528 of 12.5 ÷ 11
Three boxes B1, B2, B3 contain red and green balls in the ratio 1:1, 3:5, and 5:3 respectively. A box is selected at random and a ball is drawn. What is...
Pawan and Raju can finish a task in 12 days when working together. The time required for Qureshi, Raju, and Suresh to complete 74...
Aman bought a goat and a hen, with the goat's cost price being ₹1200 more than the hen's. He sold the hen at a 20% loss and the goat at a 25% profit, ...
A father is currently 3 times as old as his son. In 10 years, the father’s age will be twice that of his son. What are their present ages?
A circle has a radius of 21 cm, and a sector makes an angle of 60° at the center. Find the area of the sector and the length of the arc (use π = 22/7...
Find the mean proportion of 40 and 19.6
The average selling price of mangoes is Rs. 8 (per kg) more than the average selling price of the oranges. The quantity of oranges sold is 25% more than...