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The mean proportional between the numbers p and q is 8. Which of the following pairs of numbers can be the values of p and q?
The total surface area of a cylinder of radius 70 m and height 140 m, is:
Which of the following is NOT a true statement?
If two angles of a triangle measure 60° and 80°, respectively, then the measure of the third angle of this triangle is:
Ravi started a business by investing ₹50,000. After six months Raju joined him and invested an amount of ₹1,00,000. In one year since Ravi invested, they earned a profit of 263,000. What is Raju's share of the profit?
The population of a town is 2,24,375. If it increases at the rate of 4% per annum, what will be its population 2 years hence?
A91 cm-long wire is cut into two pieces so that one piece length is three-fourth of the other. Find the length of the shorter piece.
The diagonal of a quadrilateral is 32 m long, and its two offsets are 6 m and 10 m long. The area of the quadrilateral is
The price of an article is increased by 20% and then two successive discounts of 5% each are allowed. The selling price of the article is____________ above its cost price.
A triangle has sides of length 5 cm, 7 cm and 10 cm. Find the area of the triangle (in cm²).
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Simplify: 3x(x - 6) + x² + 6x - 9 + 24 - x³
Find the quadratic equation that has (1 + √3) as one of its roots.
Find the nature of the roots of x² - 14x + 49 = 0
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Two numbers are in the ratio 5: 7. If their HCF is 17, then find the numbers.
Two trains of equal speed are running in opposite directions. If their lengths are 120 metres and 140 metres and they cross each other in 10 sec, then find the speed of each train.
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A 210 m long train crosses a man walking at a speed of 4.5 km/h in the opposite direction in 12 seconds. What is the speed (in km/h) of the train?
For a trip of 800 km, a truck travels the first 300 km at a speed of 50 km/h. At what speed should it cover the remaining distance, so that the average speed is 60 km/hr?
Simplify: 62+72+166^2 + 7^2 + \sqrt{16}
A number, when divided by the sum of 335 and 265, gives three times the difference between 335 and 265 as the quotient and 35 as the remainder. What is that number?
Rani borrowed an amount of ₹2,00,000 from the bank to start a business. How much simple interest will she pay at the rate of 7% per annum after 2 years?
A blanket is sold for ₹1,148, which results in a loss of 30%. For how much should it be sold to gain 5%?
A student scored 80/80 marks in term 1 and 75/90 marks in term 2. What will be his percentage of final score, if the weightage given to the terms is 40% and 60%, respectively. (correct to the nearest integer)
2sec²A+ 4cosec²A - 2tan²A - 4cot²A find solution
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If 40: 35: 35: x, find the value of x.
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The total surface area of a cylinder of diameter 10 cm is 330 square centimeters. Find the height of the cylinder?
A shopkeeper sells an item at a profit of 25% and dishonestly uses a weight that is 30% less than the actual weight. Find his total profit%.
How many spherical solid marbles, each having a radius of 0.3 cm, can be made from a solid sphere having a radius of 6 cm?
Simplify: 6(x32x2+3x)(x3+2x3)6(x ^ 3 - 2x ^ 2 + 3x) - (x ^ 3 + 2x - 3)
A shadow of a tower standing on a level ground is found to be 40√3 meters longer when the Sun's altitude is 30° than when it is 60°. The height of the tower is:
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Mohit's salary is ₹15,000 per month. He spends ₹5,000 on house rent, ₹2,000 on bills and rest of the amount is his monthly savings. Find his savings in a year, if in the month of his birthday he spent his complete monthly saving for birthday celebration
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What will be the difference between the compound interest (interest is compounded annually) and simple interest on a sum of Rs. 3200 at the rate of 20% per annum for 2 years?
An amount becomes three times of itself on compound interest (compounding annually) in 4 years. In how many years at the same rate on compound interest (compounding annually) it will become 9 times of itself?
The C.I. on a certain sum of money for the 4th year at 8% p.a. is Rs. 486. What was the compound interest for the third year on the same sum at the same rate?
The amount obtained on a certain sum at compound interest (compounded annually) after 2 years and 3 years is Rs.11520 and Rs.13824 respectively. What is that amount?
The compound interest calculated at a certain rate on a certain sum of money, x for 2nd year and 3rd year is Rs. 770 and Rs. 847, respectively. Find the sum of money x (in Rs.).
The difference between compound interest and simple interest earned on Rs 15,000 in 2 years is Rs 384, find the interest rate per annum.
The simple interest on a certain sum at 6% per annum for three years is ₹1,200. Then, the compound interest on the same sum at the same rate for two years will be:
Find the difference between the simple interest and the compound interest payable annually on a sum of Rs. 6,500 at 7% per annum for 3 years. (Correct to two decimal places.)
The compound interest on a certain sum at 4% per annum (compounded annually) for 2 years is ₹ 102. On the same principal at the same rate for the same time, the simple interest will be:
A sum of ₹ 5000 is invested for two years under compound interest at 10% p.a, interest being compounded annually. The interest earned (in ₹) is: