The area of a triangle is 85 cm² and its base is 5 cm. Find the height of the triangle corresponding to this given base.
3 kg of apples and 4 kg of oranges cost ₹210, and 5 kg of apples and 2 kg of oranges cost ₹175. Find the cost of 1 kg of apples.
Find the mode for the following data of student ages:
16, 17, 15, 17, 16, 15, 14, 14, 13, 17, 13, 12, 12, 16, 10, 14, 17, 10, 11.
A sum was invested at a certain rate of simple interest per annum for 8 years. Had it been invested at a rate of simple interest per annum that is 8% higher than the rate at which the sum had been actually invested, it would have fetched ₹4,000 more as interest at the end of the 8-year period. What was the sum invested?
While packing birthday caps for a party in packs of 8 or 10, one cap was always left out. How many caps were there if there were more than 250 but less than 300 caps in the lot?
If the length I of a room is reduced by 10% and breadth b is increased by 10%, then find the positive change in its perimeter.
Mohan, Meena and Madhav enter into a partnership investing ₹3,000, ₹2,000 and ₹5,000 respectively. Find their respective shares in the annual profit of ₹5,600 in the given order of the names mentioned here
The base of the right-angled triangle is 3 m greater than its height. If its hypotenuse is 15 m, then find its area.
A pipe can fill an empty tank in 15 hours, but due to a leakage at the bottom, it is filled in 20 hours. If the tank is full, how long will the leakage take to empty it if no other entry or exit point in the tank is open?
A and B can do a piece of work in 28 days and 35 days, respectively. They work on alternate days starting with A till the work gets completed. How long (in days) would it take A and B to complete the work?
ഒരു ഡിറ്റർമിനന്റിന്റെ ഏതെങ്കിലും ഒരു വരിയിലെയോ നിരയിലെയോ എല്ലാ അംഗങ്ങളെയും k എന്ന സ്ഥിര സംഖ്യ കൊണ്ട് ഗുണിച്ചാൽ ഡിറ്റർമിനന്റിന്റെ വില
ഒരു ഡിറ്റർമിനന്റിന്റെ ഏതെങ്കിലും രണ്ടു വരികളോ അല്ലെങ്കിൽ രണ്ട നിരകളോ പരസ്പരം മാറ്റുകയാണെങ്കിൽ ഡിറ്റർമിനിന് എന്ത് സംഭവിക്കും?
One pipe can fill the tank in 20 min while another pipe can empty it in 60 min. If both the pipes are operated together, how long will it take to fill the tank completely?
Raghav's average earning per month in the first three months of a year was ₹45,000. In April, his earning was % more than the average earning in the first three months. If his average earning per month for the whole year is ₹45,300, then what will be Raghav's average earning (in) per month from May to December?
An article is marked 50% above its cost price. If the shopkeeper gives two successive discounts of 10% and 25%, and still earns a profit of ₹15, then the cost price of the article is:
Sankar and Vishnu work alternately in a tailoring shop on an order of stitching 21 suits. Sankar starts the work, stitches 3 suits in two days, and takes a break, during which Vishnu stitches 3 suits in three days, and then takes a break. This pattern is repeated till all the 21 suits are stitched. How many days did it take the duo to complete the work?
Five solid cubes, each of volume 216 cm³, are joined end to end in a linear manner only (single row arrangement) to form a cuboid. What is the lateral surface area (in cm²) of the cuboid?
P is any point inside the rectangle ABCD. If PA = 27 cm, PB = 21 cm, PC = 6 cm, then the length PD (in cm) is equal to:
The area of a square is 900 cm². Its perimeter is equal to the perimeter of a regular hexagon. What is the area (in cm²) of the hexagon?
Three numbers x ≤ y ≤ z which are co-prime to each other are such that the product of the first two numbers is 143 and that of the last two numbers is 195. The sum of the three numbers is________
If I is subtracted from each odd digit and 2 is added to each even digit in the number 9345712, what will be difference between the largest and smallest digits thus formed?