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The price of an article is cut by 10%. To restore it to its former value the new price must be increased by:
The Prism
The Prismatoid and the Prismoidal Formula
The probabilities that three men hit a target are 1/6, 1/4, and 1/3, respectively. Each shoot once at the target.
The probability that a certain kind of component will survive a given shock test is ¾. Find the probability that exactly 2 of the next 4 components tested survive.
The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to have contracted this disease, what is the probability that at least 10 survive?
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
The probability that both stages of a two-stage missile will function correctly is 0.95. The probability that the first stage will function correctly is 0.98.
The product of two consecutive negative even integers is 24. Find the sum of the numbers.
The Pyramid
The Quadratic Equation
The Quadrilateral
The ratio of two numbers is 6:7. If the large number is 42, what number is the smaller one?
The Regular Polygon
The Regular Tetrahedron
The resistance of the flow of electricity through a wire depends on the length and thickness of the wire.
The Right Circular Cone
The Right Circular Cylinder
The scale on the map is 1:n. A square field has an area of 1600 sq. m. is represented by 1 cm2, the value of n is:
The sequence 1, 1, 2, 3, 5, 8, 13 is called the Fibonacci sequence. What is then the tenth term?
The sequence a, b, c is an AP and the sequence a, b, c + 1 is in GP. If a = 1, find the value of c.
The shipment of items is divided into two portions. If the difference between the portions is one-third of their average, what is the ratio of the larger portion to the smaller portion?
The sides of a triangle measure 10 cm, 14 cm, and 8 cm, respectively. What is the smallest interior angle of this triangle?
The silo shown in a sketch is an air- and water-tight tower. It consist of a lower cylinder surmounted by a frustum of a cone wh
The Sphere
The stability of a floating body is determined by the relative position of the center of gravity of the floating body and its metacenter.
The Straight Line
The student made a mistake in copying the coefficient of x and the constant term
The sum and product of three distinct positive integers are 15 and 45, respectively. What is the smallest integer?
The sum and product of three distinct positive integers are 15 and 45, respectively. What is the smallest integer?
The sum of the digits of a 3-digit number is 17. The hundred’s digit is twice the unit’s digit. If 396 be subtracted from the number, the order of the digits will be reversed. Find the number.
The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number exceeds the original number by 9. From the original number, calculate the product of tens digit to the square of the units digit.
The sum of the interior angles of a polygon of n sides is four times the sum of its exterior angles. Find the value of n.
The sum of thirteen consecutive integers is zero. What is the smallest integer?
The sum of three numbers is 7 and the sum their reciprocals is 7/5. If these three numbers form into a GP, find their product.
The sum to infinity of $\dfrac{1}{7} + \dfrac{2}{7^2} + \dfrac{1}{7^3} + \dfrac{2}{7^4} + \ldots$ is: