Mathematics
The mean proportional between 0.06 and 6 is:
The simplified value of -4 × (30 + 3) + 40 is:
The average of 10 observations is 40. It was realised later that an observation was misread as 34 in place of 43. Find the correct average.
The ratio of the market prices of gram and pea is 2:5, and the ratio of the quantities consumed by a family is 4:3. Find the ratio of the expenditure on gram to pea.
The average of first 13 whole numbers is:
Ashish has ₹1,218 with him. He divides it amongst his sons Arun and Mahesh and asks them to invest it at 10% rate of interest compounded annually. It was seen that Arun and Mahesh got same amount after 11 and 12 years, respectively. How much (in �...
One pipe can fill the tank in 9 minutes while another pipe can empty completely filled tank in 90 minutes. If both the pipes are operated together on empty tank, how long (in minutes) will it take to fill half of the tank?
A vendor bought lemons at 6 for ₹1. How many lemons must he sell for ₹1 to gain 100%?
The sum of the present ages of a father and his son is 18 years more than 4 times the present age of the son. After 5 years, 4 times the father's age will be 8 years less than 14 times the son's age. The difference (in years) between the present ages...
The volume of a solid cylinder is 5852 cm³ and its height is 38 cm. What is the total surface area of the solid cylinder? (Round your answer to the nearest integer) (Use π = 22/7)
Simplify: (5x - 2y)² + (2x + 5y)² + (5x + 2y)(5x - 2y)
Simplify:6√4096 + 4√50625 + 3√21952 + √3364
If a² + b² = 111, a × b = 27, and a > b, find the value of (a - b) / (a + b).
Surendra has 102 litres of Oil A and 224 litres of Oil B. He fills a number of identical containers with the two types of oil in a manner that each container has only one type of oil, and all containers are completely filled. What can be the maximum ...
Find the surface area of a sphere whose diameter is equal to 112 cm.
Find the duration (in years) in which ₹1,200 will amount to ₹2,220 at a rate of 20% per annum simple interest.
The marked price of a bed is ₹1,600, which is 25% above the cost price. It is sold at a discount of 16% on the marked price. Find the profit percentage.
Let AB and CD be two parallel lines and PQ be a transversal such that PQ intersects AB at the point R and CD at the point S, respectively. If ∠BRP = (2x + 13)° and ∠DSP = (3x - 22)°, then find ∠CSP.
A man has to cover a distance of 753 km in 12 hours. If he covers two-third of this distance in 2/3 of the time, then what should his speed (in km/hr) be to cover the remaining distance in the time left?
Manjit's salary is ₹10,000 per month. He spends ₹6,000 on house rent and ₹3,000 on bills, and the rest of the amount is his monthly savings. Find his savings (in ₹) in a year, if in the month of his birthday, he spent all his monthly savings ...
Which of the following numbers is divisible by 41?
The area of a rectangle increases by 8 m² if its length is increased by 5 m and breadth is decreased by 7 m. If the length is decreased by 5 m and breadth is increased by 8 m, then its area increases by 33 m². What is the perimeter of the original ...
Mr. W travelled 370 km, 390 km and 720 km at speeds of 37 km/hr, 5 km/hr and 8 km/hr, respectively. Find his average speed in km/hr. (Note: Speed typo corrected for logical accuracy based on calculation)
Find the angle of elevation of the top of a 250√3 m high tower, from a point which is 250 m away from its foot.
On selling a wardrobe at ₹3,437, the value of gain is 75% more than the value of loss incurred on selling it at ₹3,338. In order to gain 50%, find the selling price (in ₹).
Factorise the polynomial x⁴ - 10x² + 22 into product of two quadratic polynomials.
Pipe A can fill a tank in 18 minutes, while pipe B can empty the completely filled tank in 27 minutes. Initially, pipe A is opened and after 6 minutes pipe B is also opened. In how much time (in minutes) will the remaining tank be filled completely?
2% of 50% of a number is what percentage of that number?
The mode of the observations 4, 3, 8, 7, 3, 7, 3, 1, 1, 3, 8, 3, 3, 5 and 3 is:
The mode and median of a data set is 89.7 and 32, respectively. What is the mean of the data set? (Use empirical formula.)