Mathematics
The marked price of a desk is ₹7,725, which is 25% above the cost price. It is sold at a discount of 4% on the marked price. Find the profit percentage.
From a taxi stand, two cabs start at a speed of 74 km/hr at an interval of 28 minutes, both cabs travelling in the same direction. A man coming in the opposite direction towards the taxi stand meets the cabs at an interval of 10 minutes. Find the spe...
Atul's salary is ₹10,000 per month. He spends ₹6,000 on house rent and ₹2,500 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 on...
One pipe can fill the tank in 10 minutes while another pipe can empty completely filled tank in 20 minutes. If both the pipes are operated together on empty tank, how long (in minutes) will it take to fill the tank completely?
Suppose x : y = 2 : 5; y : z = 4 : 7. If ₹15,120 is distributed among x, y and z, then the amounts received by x, y and z, respectively, are (in ₹):
Manjit spends 40% of his income. If he saves ₹18,000, then his income (in ₹) is:
While covering a distance of 37 km, a man noticed that after cycling for 1 hour 5 minutes, the distance covered by him was a fraction of the remaining distance. What was his speed (in km/hr, rounded off to one decimal place)?
If 3.5 : 17.4 :: 14 : x, find the value of x.
Marks in statistics of 12 students are x, 28, 35, 56, 78, 63, 65, 81, 79, 83, 80, y, where x and y are the lowest and highest marks, respectively. If the range and average of the marks are 70 and 64, respectively, then the ordered pair (x, y) is:
Sachin bought the first pen for ₹630 and the second pen for ₹722, respectively. He sells the first pen at 70% of the profit but the buyer bargains for the price, and he has to offer a 9% discount and the second pen at 71% of the profit. Find the ...
Simplify the following.(2x + 3)² - (x + 1)²
Solve:70 + 72/6 + 29 - 30
The curved surface area of a right circular cone is 6500π cm², and the diameter of its base is 100 cm. Find the height (in cm) of the cone.
Two pipes, A and B, can fill a tank of 3700 litres in 9 hours and 6 hours, respectively. If they are opened together, how many hours will they take to fill an empty tank of 6400 litres?
The difference between the compound interest, compounded annually and the simple interest if ₹47,100 is deposited at 9% rate of interest per annum for 2 years is:
The arithmetic mean of 25 real numbers is 110. If 10 numbers are increased by 12.5 each, another 10 numbers are increased by 15 each and the remaining 5 numbers are unaltered, then the new value of the arithmetic mean is:
Rajesh has 156 litres of Oil A and 256 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 vo...
Simplify:194 + [6 x (1 - 6 + 5)] ÷ 12
The curved surface area of a right circular cone is 5400π cm², and the diameter of its base is 144 cm. Find the height (in cm) of the cone.
If the mode of the following data is 140, then what is the value of x?Class125-130130-135135-140140-145145-150Frequency303033x31
Kamlesh buys some sarees and suits for ₹10,000. The cost of each saree is ₹1,500, and the cost of each suit is ₹1,000. The total number of sarees and suits is 8. Find the number of suits and sarees.
What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the circle?
Find the value of m which satisfies (29/4)³ x (4/29)² x (29/4)¹¹ = (4/29)^(9m+7).
What is the discriminant of the equation x² - 2x + 13 = 0? Also, determine how many real solutions this equation has.
A group of people consists of men, women and children. Among them, 20% are men, 50% are women and the rest are children, and their average weights are 45 kg, 60 kg and 20 kg, respectively. The average weight (in kg) of the group is:
When x is added to each of 26, 40, 22 and 34, then the numbers so obtained, in this order, are in proportion. Then, if 4x : y :: y : (7x-6), and y > 0 what is the value of y?
The angle of elevation of the top of a tower from a point on the ground, which is 48 m away from the foot of the tower is 30°. Find the height of the tower.
A can complete a piece of work in 15 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?
Find the exact difference between the compound interest and simple interest on a principal amount of ₹5,000 for 2 years at an annual interest rate of 10%.
Calculate the area of a triangle whose sides measure 3 cm, 4 cm, and 5 cm.
A shopkeeper buys an article for ₹400 and sells it for ₹500. What is his overall profit percentage?
If x + (1/x) = 3, then evaluate the value of x² + (1/x²).
Determine the volume of a right circular cylinder possessing a base radius of 7 cm and a vertical height of 10 cm. (Assume π = 22/7)
Calculate the average of the first 10 natural numbers.