For the following questions answer them individually
If the LCM of the first 110 natural numbers is N, then find the LCM of the first 115 natural numbers.
A shopkeeper is selling a gift packet of fruits in which he is mixing apples and mangoes. The packet contains total of 12 kg fruits at an average rate of ₹100 per kg. In the packet there are 8 kg of apples at the rate of ₹90 per kg, while there are 4 kg of mangoes at the rate of ₹X per kg. Find the value of ‘X’.
Note: All other charges are to be ignored for packing.
The total surface area of a sphere is 2217 6 cm$$^2$$. The diameter of the sphere is:
(use $$\pi = \frac{22}{7}$$)
A sum of money becomes Rs.4,900 in 3 years and Rs.6,400 in 5 years on compound interest, compounded annually. Find the rate of interest p.a.
If 12 men can build a wall 60 metres long in 5 days, then what length of a similar wall can be built by 24 men in 2 days?
Ramesh was receiving two offers on a book with a marked price of ₹800. Either two successive discounts of 20% each, or two successive discounts of 30% and 10%. How much more must Ramesh have saved if he chose the superior scheme over the other?
The profit percentage made on an item sold for Rs.1,920 is equal to the loss percentage made on selling the same item for Rs.1,280. What should the item be sold for in order to make a 25% profit?
When the price of a Bluetooth earphone is increased by 12%, its sale(number of Bluetooth earphones) is reduced by 20%. What is the net impact on its revenue?
An electronic shop is giving 20% discount on the purchase of any electronic device having price ₹80,000 or above, 16% discount on the items priced between ₹50,000 and ₹79,999, 10% discount on items ranging from ₹20,000 to ₹49,999, and 3% discount on purchase of any mobile accessories such as mobile covers, earphones, chargers, etc. As per terms and conditions, all these discounts are independent and are offered only on the basis of price range. Ajay bought a mobile of price ₹40,000, a laptop of ₹90,000, and a mobile cover of ₹400. How much total discount did he get?
In 90 litres of a mixture of milk and water, the ratio of milk and water is 4 : 1. How much water should be added in the mixture so that the ratio of milk to water becomes 3 : 1?