Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #226 20090122 16:03:58
Re: *** ProblemsAnswers to #127 and #129 : Character is who you are when no one is looking. #227 20090123 01:48:57
Re: *** Problems#131.Without actual division, find the remainder when is divided by 2x+3. #132. A business organization declares an annual dividend of 6%. Rose owns 325 shares (par value #75). How much divided would she receive? #133. The sum of squares of three numbers which are in the ratio 2:3:4 is 725. What are the three numbers? #134. Ten years ago, a father was seven times as old as his son. Two years hence, twice his age would be equal to five times his son's age. What are the present ages of the father and the son? #135.Two places A and B are 200 kilometers apart. A person travels from A to B at the speed of 60 kilometers/hour by a car. At the same time, another person starts from B to A on a motorbike riding at the speed of 40 kilometers per hour. After how much time from the start would the two persons meet? Character is who you are when no one is looking. #228 20090123 04:46:28#229 20090123 04:54:04#230 20090123 07:02:25#231 20090123 18:09:56
Re: *** ProblemsAnswers to #131, #133, #134, and #135: Character is who you are when no one is looking. #232 20090123 18:52:12
Re: *** Problems#136. The diameter of a circle is units. What is the length of a saide of a square inscribed in it?#137. All the surfaces of a cube are colored. If a number of smaller cubes are taken out from it, each smaller cube having a side onefourth of the original cube's side, what is the number of cubes which would have only one side colored? #138. (a) What is the difference in area of a circle of diameter 2x units and square of side 2 units? (b) What is the perimeter of a rectangle of area 60 square meters and whose diagonal is 13 meters long? Character is who you are when no one is looking. #233 20090129 02:19:16
Re: *** Problems#139. Two trains start from stations M and N and travel towards each other at speeds of 50 km/hour and 60 km/hour respectively. At the time of their meeting, the second train has travelled 120 kilometers more than the first. What is the distance between stations M and N? #143. A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm x 5 cm x 2 cm. What is the percentage of wood wasted? Character is who you are when no one is looking. #234 20090129 10:17:50
Re: *** ProblemsLast edited by JaneFairfax (20090130 05:45:43) #235 20090130 03:46:59
Re: *** ProblemsAnswers to #139 and #140: #144. In a race of 200 meters, A can beat B by 31 meters and C by 18 meters. By what distance can C beat B in a race of 350 meters, assuming the three runners run at uniform speed the entire distance? #145. If 18 persons can build a wall 140 meters long in 42 days, how many days would it take 30 persons to build a similar wall 100 meters long? Character is who you are when no one is looking. #236 20090131 02:55:03
Re: *** Problems#146. The property of a person was divided among his wife, son and daughter according to his will, in the following manner. The wife's share was 6/7 of the son's share and the daughter's share was 4/7 of that of the son. If the son and the daughter together got $102300, how much did his wife get? what is the value of the largest part? Character is who you are when no one is looking. #237 20090131 08:01:42#238 20090131 18:39:49
Re: *** ProblemsAnswers to #144, #145, #148, and #149: Character is who you are when no one is looking. #239 20090201 02:05:01
Re: *** Problems#158. From each of the two given numbers, half of the smaller number is subtracted. Of the resulting numbers, the greater number is three times the lesser number. What is the ratio of the two original numbers? Character is who you are when no one is looking. #240 20090205 02:42:54
Re: *** Problems#160. What is the value of #161. Let N = 1421 x 1423 x 1425. What is the remainder when N is divided by 12? Character is who you are when no one is looking. #241 20090205 03:23:25#242 20090205 15:59:02
Re: *** ProblemsAnswers to #159, #160, and #161: Character is who you are when no one is looking. #243 20090208 00:35:35
Re: *** Problems#162. Solve: . #163. Solve . #164. Three numbers are in a Geometric Progression and the middle number is 16. If the sum of the first and third numbers is 130, find the numbers. #165. If m and n are the roots of , find the value of . #166. Find the value of C if the roots of are consecutive integers. #167. Find the value of k if the following equation has equal roots: . #168. Find the quotient and the remainder when is divided by . #169. What is the value of a if (x + 6) is a factor of ? #170. A sheet is in the form of a rhombus whose side is 5 meters and one of the diagonals is 8 meters. Find the cost of painting both the sides of the sheet if the painting cost is $2.50 per square meter. Character is who you are when no one is looking. #244 20090208 16:51:55
Re: *** Problems#171. A vessel is 50% full containing a certain solution. Another vessel with twice the capacity as the first vessel is 25% full containing the same solution. Water is added to the two vessels till the vessel are full. The contents of both the vessels are then poured into a large empty container, which is large enough to hold the contents of both the vessels. What percentage of the contents in the container is the solution? Character is who you are when no one is looking. #245 20090208 17:16:51
Re: *** Problems#173. ABCD is a rectangle in which AB = 6 centimeters and AD = 10 centimeters. A rhombus EFGH is formed by joining the midpoints of AB, BC, CD, and DA. What is the area of the rhombus? #175. What is the value of ? Character is who you are when no one is looking. #246 20090212 10:52:30#247 20090213 01:20:23
Re: *** ProblemsAnswers to #166, and #172: #177. A cradboard is in the form of a square of side 20 centimeters. Semicircular portions drawn inside the circle with two opposite sides of the square as diameter are cut off. What is the area of the remaining portion? #178. If and leave the same remainder when divided by , what is the value of m? Character is who you are when no one is looking. #248 20090215 22:36:58
Re: *** Problems#179. What is the digit in the unit's place of #180. What is the digit in the unit's place of ? #181. How many consecutive zeros would the following product end in? . #182. How many consecutive zeros would end in? Character is who you are when no one is looking. #249 20090215 22:42:08
Re: *** Problems#183. Find (i) the number of factors of the number 621 and (ii) the sum of all the factors. Character is who you are when no one is looking. #250 20090215 23:52:33 