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ഒരേ ക്രമമുള്ള 2 സമമിത മാട്രിക്സുകളാണ് A ,B എന്നിവ എങ്കിൽ AB-BA എന്നത് :
ഒരു ന്യൂന സമമിത മാട്രിക്സ് ആയ A-യുടെ കർണ രേഖ അംഗങ്ങളുടെ തുക :
In what ratio should sugar costing ₹10 per kg be mixed with sugar costing ₹61 per kg so that by selling the mixture at ₹31.5 per kg, there is a profit of 26%?
The population of a village increases at the rate of 25 per thousand annually. If the present population is 84050, what was the population two years ago?
Two banks, A and B, offered loans at 3.5% and 6% per annum, respectively. Shivam borrowed an amount of ₹460000 from each bank. Find the positive difference between the amounts of simple interest paid to the two banks by Shivam after 3 years positive difference (in ₹) .
Rishi can do a piece of work in 8 hours. Shan can do it in 12 hours. With the assistance of Veer, they completed the work in 3 hours. In how many hours can Veer alone do it?
The LCM of two numbers is 72. Their ratio is 3 : 4. Find the sum of the numbers.
Find the surface area of a sphere whose diameter is equal to 30 cm.
In covering a distance of 72 km, Amit takes 5 hours more than Vinay. If Amit doubles his speed, then he would take 7 hour less than Vinay. Amit's speed is:
In a race, an athlete covers a distance of 402 m in 134 sec in the first lap. He covers the second lap of the same length in 67 sec. What is the average speed (in m/sec) of the athlete?
Three partners invested in a business in the ratio 4:3:1. They invested their capitals for 9 months, 2 months and 11 months, respectively. What was the ratio of their profits?
A bus travelling at 99 km/h completes a journey in 14 hours. At what speed will it have to cover the same distance in 18 hours?
The monthly incomes of two friends Nirmal and Rakesh, are in the ratio 5 : 7 respectively and each of them saves ₹93000 every month. If the ratio of their monthly expenditure is 1 : 3, find the monthly income of Nirmal(in ₹).
x സൂചക സംഖ്യ 2 ആയ ബിന്ദുവിൽ y=x³-x+1 എന്ന വക്രത്തിന്ടെ തൊടുവരയുടെ ചരിവ്?
y=3x⁴-4x എന്ന വക്രത്തിൽ x=4 ലെ തൊടുവരയുടെ ചരിവ്?
f(x)=2x³-15x²+36x+1 എന്ന ഏകദത്തിന്ടെ [1,5] എന്ന ഇടവേളയിലുള്ള കേവല ഉന്നത വില ഏത് ?
x² -8x +17 എന്ന ഏകദത്തിന്ടെ ഏറ്റവും കുറഞ്ഞ വില?
f(x) = 3x⁴ + 4x³ -12x² + 12 എന്ന ഏകദത്തിന്ടെ പ്രാദേശിക നിമ്‌ന വില ബിന്ദു ഏത്?
f(x)= x³-6x²+9x+15 എന്ന ഏകദത്തിന്ടെ പ്രാദേശിക ഉന്നത വില ബിന്ദു ഏത്?
A bus travelling at 11 km/h completes a journey in 14 hours. At what speed will it have to cover the same distance in 11 hours?
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If 2 , 64 , 86 , and y are in proportion, then the value of y is:
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Isha can do a certain piece of work in 15 days. Isha and Smriti can together do the same work in 11 days, and Isha, Smriti and Ashlesha can do the same work together in 10days. In how many days can Isha and Ashlesha do the same work?
The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 107. Find the average of the remaining two numbers?
10 men and 6 women can do a piece of work in 4 days, whereas 12 men and 18 women can do it in 2 days. Find the ratio of the daily work done by a man to that done by a woman, respectively
A fruit vendor restocks apples every 4 days and bananas every 6 days. If he restocks both fruits today, after how many days will he restock both apples and bananas on the same day again?
In a race, an athlete covers a distance of 360 m in 60 sec in the first lap. He covers the second lap of the same length in 180 sec. What is the average speed (in m/sec) of the athlete?
Evaluate: 41 - [21 - {11 - (15 - 6 ÷ 2 × 3)}]
The marked price of an article is ₹16000.A shopkeeper offered two successive discounts of 10% and 5%, respectively, to a customer. At what price did the customer buy that item?
Find the compound interest on ₹21,500 at 17% per annum for 1121\frac12 year, interest being compounded half yearly. (Round to the nearest paise.)
An amount of ₹866 is divided among three persons in the ratio of 2 : 6 : 12. The difference between the largest and the smallest shares (in ₹) in the distribution is
One side of a parallelogram is 24 cm and the corresponding altitude is 6 cm. Find the area of the parallelogram.
f(x)= x³ -3x +3 എന്ന ഏകദത്തിന്ടെ പ്രാദേശിക നിമ്നോന്നത വില ബിന്ദുക്കൾ കണ്ടുപിടിക്കുക.
The marked price of a bicycle is ₹1,456. A shopkeeper allows a discount of 10% and gets a profit of 12%. Find the cost price of the bicycle.
If ₹2,000 is invested at an annual compound interest rate of 6% for 3 years, what is the amount after 3 years? (In nearest rupee)
The value of a furniture set depreciates every year by 5%. If the present value of the furniture is ₹1,20,000, what will be its value after 2 years?
The sum of 10 numbers is 240. Find their average.
Find the diameter of a cone whose volume and height are 3696 cubic units and 18 units, respectively. (π=22/7)
The average of first 127 odd natural numbers, is:
A number when increased by 50 %', gives 2430. The number is:
Rupesh bought 52 books for Rs 1130 from one shop and 47 books for Rs 910 from another. What is the average price (in Rs) he paid per book ?
The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 135. Find the average of the remaining two numbers?
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The cost price of 20 articles is equal to the selling price of 16 articles. Find the profit percentage.
Kartik can do a piece of work in 4 hours. Ishan can do it in 20 hours. With the assistance of Krish, they completed the work in 2 hours. In how many hours can Krish alone do it?
A person can complete a journey in 9 hours. He covers the first one-third part of the journey at the rate of 10 km/h and the remaining distance at the rate of 20 km/h. What is the total distance of his journey (in km)?
The value of an LED television depreciates every year by 5%. If the present value of the LED TV is ₹67,000, what will be its value after 2 years?
If the ratio of speed upstream and downstream is 5 : 7 and the speed of the stream is 6 m/sec, then what is the time taken by a boat to cover the total distance of 210 m both upstream and downstream?
What is the smallest 5-digit number exactly divisible by 999?