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y=x³logx ; d²y/dx²=
f(x) = x³-3x²+2x-1 എന്ന ഏകദത്തിന്ടെ x=2 എന്ന ബിന്ദുവിലെ അവകലജം ഏത് ?
y=x²+3x+2 ; d²y/dx²=
A company earns a profit (in ₹) that is distributed among the company's three partners in the ratio of 10 : 4 : 13. If the difference between the smallest and the largest shares is ₹30545, the total profit (in ₹) of the company is:
A gardener has 1826 red flowers and 2486 yellow flowers. He wants to arrange them into the largest possible equal groups such that each group has the same number of red and yellow flowers. What is the maximum number of flowers in each group?
Find the compound interest on ₹80,000 at 10% per annum for 2 years, compounded annually.
A can do a piece of work in 10 days. B can do it in 15 days. With the assistance of C, they completed the work in 2 days. C alone can do it in ______________days.
A shopkeeper sold his goods at half the list price and thus lost 14%. If he had sold them at the listed price, his gain percentage would be _____.
P can do a piece of work in 48 days, which Q can do in 18 days. Q worked at it for 15 days. P can finish the remaining work in:
Find the largest number which divides 203, 359, 437 and 593 leaving remainder 8 in each case
On an item with marked price ₹180, 15% discount and a cashback of ₹25 is offered. The selling price of the item is ₹_____.
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The dimensions of a rectangular solid are 41 cm × 40 cm × 9 cm. What is its surface area (in cm²)?
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Two banks, A and B, offered loans at 3.5% and 6% per annum, respectively. David borrowed an amount of ₹480000 from each bank. Find the positive difference between the amounts of simple interest paid to the two banks by David after 4 years.
Abhay and Bharat can complete a certain piece of work in 17 and 10 days, respectively, They started to work together, and after 3 days, Bharat left. In how many days will Abhay complete the remaining work?
An amount of ₹50,000 would become ₹_______ at 20% per annum compound interest, compounded annually, in 4 years.
The average of first 103 even numbers is
After 63 litres of petrol was poured into an empty storage tank, it was still 1% empty. How much petrol (in litres, rounded off to two decimal place) must be poured into the storage tank in order to fill it?
A shopkeeper allows his customers 8% off on the marked price of goods and still gets a profit of 19.6%. What is the actual cost of an article marked ₹5,200?
There are 9306 students in a school and the ratio of boys to girls in the school is 41 : 25, then find the number of boys in school
In a race, an athlete covers a distance of 372 m in 186 sec in the first lap. He covers the second lap of the same length in 62 sec. What is the average speed (in m/sec) of the athlete?
A 275 m long train overtakes a man moving at a speed of 6 km/h (in same direction) in 45 seconds. How much time (in seconds) will it take this train to completely cross another 280 m long train, moving in the opposite direction at a speed of 26 km/h?
A merchant permits a 24% discount on his advertised price and then makes a profit of 20%. What is the advertised price on which he gains ₹76?
Find the area (in cm²) of a rhombus whose diagonals are of lengths 47 cm and 48 cm.
Nirmal bought 52 books for Rs 1130 from one shop and 47 books for Rs 900 from another. What is the average price (in Rs) he paid per book ?
A number 30000 is increased successively by 10%, 20% and 30%. Find the overall increase in percentage.
A man riding on a bicycle at a speed of 21 km/h crosses a bridge in 6 minutes. Find the length of the bridge?
A 646 m long train crosses a man walking at a speed of 4.5 km/h in the opposite direction in 24 seconds. What is the speed (in km/h) of the train?
Find the surface area of a sphere whose diameter is equal to 88 cm
2% of 5% of a number is what percentage of that number?
A milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 40%. Find the percentage of water in the mixture (rounded to one decimal place).
How many numbers up to 310 are divisible by 8?
In what ratio should sugar costing ₹84 per kg be mixed with sugar costing ₹59 per kg so that by selling the mixture at ₹73.7 per kg, there is a profit of 10%?
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Evaluate: 41 - [36 - {48 ÷ 2 - (6 - 12 ÷ 2) ÷ 2}]
The sum of 8 numbers is 804. Find out the average.
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(2,-6) , (5,4), (K,4) എന്നിവ മൂലകളായ ഒരു ത്രികോണത്തിന്റെ പരപ്പളവ് 35 ചതുരശ്ര യൂണിറ്റ് ആണെങ്കിൽ K യുടെ വിലയെന്ത് ?
A 6 ദിവസത്തിൽ ഒരു ജോലി പൂർത്തിയാക്കാൻ കഴിയുകയും B 9 ദിവസங்களில் സ്ഥിരം ജോലി പൂർത്തിയാക്കാൻ കഴിയുകയും ചെയ്യുന്നു. ഇരുവരും ചേർന്ന് ഈ ജോലിയെ പൂർത്തിയാക്കാൻ എത്ര ദിവസം എടുക്കും?
എ, ബി എന്നിവർ ചേർന്ന് ഒരു പണി 12 ദിവസം കൊണ്ടു വര്സിക്കുന്നു. ബി, സി 15 ദിവസവും, എ, സി 20 ദിവസവും കൊണ്ട്. എ, ബി, സി മൂന്ന് പേരും ചേർന്ന് പണി നടത്തി തികയ്ക്കാൻ എത്ര ദിവസം?
A solid sphere of diameter 6 cm is melted and then cast into cylindrical wire of radius 0.3 cm. Find the length of the wire.
Abhay and Bharat can complete a certain piece of work in 9 and 11 days, respectively, They started to work together, and after 3 days, Bharat left. In how many days will Abhay complete the remaining work?
The monthly incomes of two friends Amit and Gopal, are in the ratio 5 : 7 respectively and each of them saves ₹72000 every month. If the ratio of their monthly expenditure is 2 : 3, find the monthly income of Amit(in ₹).

Which of the following numbers is the greatest of all?

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What is the rate percentage per annum if ₹4,800 amounts to ₹5,043 in 2 years when interest is compounded yearly?
A 250 m long train overtakes a man moving at a speed of 7 km/h (in same direction) in 36 seconds. How much time (in seconds) will it take this train to completely cross another 415 m long train, moving in the opposite direction at a speed of 82 km/h?
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The sum of 10 numbers is 276. Find their average.
A bus travelling at 55 km/h completes a journey in 8 hours. At what speed will it have to cover the same distance in 20 hours?