An integer cannot be a decimal or a fraction. Find integers. Only answer option a gives 1 137.If (x + 2)2 = 9 and (y + 3)2 = 25, then the maximum value of x / y is. Find the number of triangles in an octagon. The difference between the compound interest and the simple interest on a certain sum at 12% p.a. This equation is possible to understand intuitively in a way that makes it possible to generalize. The population of a town was 3600 three years back. So, to get three zeroes he should multiply till he encounters two more 5s and one more 2. Try refreshing the page, or contact customer support. Put the values of x and y to get a and b. a=1 and b=1 Go from answer options. Mira has 30 gift bags for her 10th birthday pool party. 156.How many numbers are there between 100 and 1000 such that atleast one of their digits is 6? A) 4 B) 6 C) 8 D) 5 Question 16 A person starts multiplying consecutive integers from 20. The most common application of consecutive positive integers is counting, which implicitly uses the above formula. How many apples must be sold for a rupee so as to gain 20%? To get a 10, one needs a 5 and a 2. 58. What is As speed in m/sec? Only answer option a gives 1. 173.A trader professes to sell his goods at a loss of 8% but weights 900 grams in place of a kg weight. A zookeeper counted the heads of the animals in a zoo and found it to be 80. The predator takes 4 leaps for every 6 leaps of the prey and the predator covers as much distance in 2 leaps as 3 leaps of the prey. 237.Ram buys Rs.100 shares at Rs.112. Then find the price of the shirt. A person starts multiplying consecutive positive integers starting from 20. The present ages of A and B are as 6 : 4. If each receives an increase of Rs.25 in the salary, the ratio is altered to 3: 5. Out of the days that they stayed at their grandparents house, they involved in one of the two activities on 22 days. Thanks m4 maths for helping to get placed in several companies. To unlock this lesson you must be a Study.com Member. A semi-circle is surmounted on the side of a square. Question: A person starts multiplying consecutive positive integers from 20. By 26. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort? If A works alone and completes the job, he will take T + 5 days. What is his usual time? This formula can be applied to any sequence of consecutive integers. How much more efficient is Ram than Ravi? Upload or insert images from URL. How long 188.A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. 97. 136.The sum of third and ninth term of an A.P is 8. Note that finding {eq}k {/eq} can be done either by taking the last term minus the first term, or by taking the number of terms and subtracting one. A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. A monkey attempts to climb the pole. The area of a square field is 24200 sq m. How long will a lady take to cross the field diagonally at the rate of 6.6 km/hr? 247.One year payment to the servant is Rs. 6%, the chance of not rolling a 2 must be 100%16. 212.What is the probability of getting at least one six in a single throw of three unbiased dice? simple interest grows to Rs.120 only. If Merchant A computes his profit on cost price, while Merchant B computes his profit on selling price, they end up making profits of 25% respectively. 1. The average cost of 7 apples and 8 mangoes is Rs. What. 217.When 4 dice are thrown, what is the probability that the same number appears on each of them? Ted, a middle school coach, wants to make two fair teams from his physical education class to play an indoor soccer game. Forgot your password? 49. A group of workers can do a piece of work in 24 days. The correct option is C. 6. Tom, Dick and Harry went for lunch to a restaurant. How many litres of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion? If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer? All questions (MCQ) are arranged in sets of questions on pages. 51. 109.Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. A person starts multiplying consecutive positive integers starting from 20. She asks Mira for help in filling the boy bags. But I'm unlikely to get these exact problems; I'll probably get something else that uses some other technique that I haven't come across yet. The monthly salaries of two persons are in the ratio of 4:7. What distance will an ant travel if it starts from ground level to reach the top of the stairway? 162.In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes? + 98 is divided by 6? If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have? What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41? to make it perfectly divisible by 350? In general, a sequence of consecutive integers is a sequence of numbers where each term is one more than the previous. A person starts multiplying consecutive numbers starting from 20. 200 plus one shirt. - Quora Something went wrong. Had he moved at the rate of 3.67 km/hr, he would have taken 3 hours more to reach the destination. 52. (1/4)3 + (3/4)3 + 3(1/4)(3/4)(1/4 + 3/4) =? 69. Manit Bhopal Recruitment 2023 Apply Now For 127 Faculty Positions, Upsc Administrative Officer Recruitment 2023: 73 Architect Opportunities Await, Mmrcl Recruitment 2023: Apply Now For Je, Agm, Dgm, Supervisor - 22 Exciting Opportunities Await, Financial Management And Financial Markets, Electrical Measurement And Instrumentation. 187.By walking at 3/4th of his usual speed, a man reaches office 20 minutes later than usual. The angle of elevation of the top of a tower 30 m high, from two points on the level ground on its opposite sides are 45 degrees and 60 degrees. What is the value of the divisor? 111.Two numbers when divided by a certain divisor leave remainders of 431 and 379 respectively. 103.A predator is chasing its prey. 241.A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. 170.Four dice are rolled simultaneously. We are not permitting internet traffic to Byjus website from countries within European Union at this time. Wow, amazing how simple these solutions are once they're explained to you!! 23. How many apples must be sold for a rupee so as to gain 20%? As a member, you'll also get unlimited access to over 88,000 At the end of another 5 months, he withdraws another Rs.3000. 200 plus one shirt. The general formula {eq}n,n+1,n+k {/eq} can be used to define a sequence of consecutive integers, which are integers in an increasing sequence where each term is exactly one more than the previous term. A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before he will have a result that will end with 3 zeros? This is a technique which must be remembered in solving such problems.. sahilshah1987, the anser to Question 1 is A. 134.A number when divided by a divisor leaves a remainder of 24. 11, 15 2. 182.Two boys begin together to write out a booklet containing 535 lines. How many ways can these be answered? He also has a B.S. What is the greatest value of a positive integer n such that 3n is a factor of 1815? Since the chance of rolling a 2 is 1/6 or 16. The reciprocal of any rational number p and q. where p and q are integers and q not equal to 0, is, what should be added to 9876 so that it will be completed divisible by 131. At least how many numbers should he multiply before he will have a product. How many numbers should he multiply before the will have result that will end with 3 zeroes? In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers? 31. The average score in class Y is 76. 82. 192.Two trains, 200 and 160 meters long take a minute to cross each other while traveling in the same direction and take only 10 seconds when they cross in opposite directions. How many points make the game? ? A fort has provisions for 60 days. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Enter your email address to subscribe to Best Civil engineering website and receive notifications of new posts by email. How much did he invest at the rate of 10%? If the area of two circles are in the ratio 169 : 196 then the ratio of their radii is, 13. We cannot forget that consecutive integers also include negative numbers. It will be available soon. 80. Education and your well being, Find what is GRE Bio-Chemistry and how to appear in the test, How to deal with ISSB Recruitment tests to join Pakistan Armed Forces, NED University of Engineering and technology is a big name in Engineering. 145.A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. How far is his office? 21. 54. A person starts multiplying consecutive positive integers from 50. means factorial 5000). How many numbers should he multiply before the will have result that will end with 3 zeroes? How many numbers should he multiply so that he will have a result that will end with 3 zeroes? 174.Rajiv sold an article for Rs.56 which cost him Rs.x. They got a bill for $104 and decided to give a tip of $16. Detailed about test preparation, English Writing, TOEFL, and IELTS. Similar questions. Latest CAT Aptitude Question SOLUTION: A person starts multiplying consecutive positive integers from 20. If 3/p = 6 and 3/q = 15 then p q = ? Required fields are marked *. If you have an account, sign in now to post with your account. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph. During the vacation, they do any activity together. If a sum of money grows to 144/121 times when invested for two years in a scheme where interest is compounded annually, how long will the same sum of money take to treble if invested at the same rate of interest in a scheme where interest is computed using simple interest method? The average of 5 quantities is 10 and the average of 3 of them is 9. Find the value of the certificates purchased by him in the 13th year. NY Regents Exam - Integrated Algebra: Help and Review, NY Regents - Number Theory & Basic Arithmetic: Help and Review, Open Sentence in Math: Definition & Example, Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Graphing Rational Numbers on a Number Line, Notation for Rational Numbers, Fractions & Decimals, Finding the Absolute Value of a Real Number, Arithmetic Calculations with Signed Numbers, The Commutative Property: Definition and Examples, The Associative Property: Definition and Examples, The Multiplication Property of Zero: Definition & Examples, What Is The Order of Operations in Math? NATIONAL INDIVIDUAL ORAL COMPETITION-FOURTH YEAR: A person starts multiplying consecutive positive integers from 20. Rs.432 is divided amongst three workers A, B and C such that 8 times As share is equal to 12 times Bs share which is equal to 6 times Cs share. 10. Remember me Not recommended on shared computers. If the radius of a circle is increased by 20% then the area is increased by : 6. Punjab & Sind Bank Recruitment 2023 183 Post Apply Online Now! 150.What is the least number that should be multiplied to 100! Integer Exponents | Multiplying & Dividing Exponents, Zeros vs. 105.A runs 13/5 times as fast as B. Your email address will not be published. 10, 14 3. Let's imagine we are counting down to the new year! Consecutive positive integers are being multiplied starting from 50. Point Q lies at the center of the square base (ABCD) of the pyramid pictured above. 198.A man driving his bike at 24 kmph reaches his office 5 minutes late. A person starts multiplying consecutive positive integers from 20. 84. Plain & Reinforced Concrete Experiments 1, Quantitative Section : GMAT Sample Problem Solving Ability, Transportation, Highways, Tunnels & Roads Books, 144 Sol= ( 14*10=140) & (12*12=144) & ( 144-140=4 Ans), b/ft Hint ; Take same ratio ( b/f : t/x). If both lights start flashing at the same time, how many times do they flash together in each hour? If trying to find the value of 'x' or the sum of a series of consecutive numbers, the formula would look like this: (x) + (x+1) = Sum of the Consecutive Integers. 68. 168.How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 3, without repeating the digits? 236.Ram and Shyam take a vacation at their grandparents house. 99. You cannot paste images directly. The servant leaves after 9 months and recieves Rs. 45 + 2 = 47. 50. Display as a link instead, For a sequence of consecutive negative integers, the initial term {eq}n {/eq} must be negative, or less than zero, and the number of terms in the sequence cannot be greater than the absolute value of {eq}n {/eq}. Each interior angle of a regular polygon is 120 degrees greater than each exterior angle. A worked for 2 hours and B worked for 5 hours and they did half the job. (option 1st), This site is using cookies under cookie policy . What is the distance between A and B? The ratio of marks obtained by vinod and Basu is 6:5. A merchant mixes three varieties of rice costing Rs.20/kg, Rs.24/kg and Rs.30/kg and sells the mixture at a profit of 20% at Rs.30 / kg. What is his average speed of journey during the entire travel? 242.A merchant buys two articles for Rs.600. The average score in class X is 83. The term integers refers to whole numbers with no fractional or irrational part. Question: What number should be subtracted from x3 + 4x2 - 7x + 12 if it is to be perfectly divisible by x + 3? Noah is a fifth year graduate student in the math department at Indiana University. If B works alone and completes the same job, he will take T + 45 days. What was his wage on the 8th day? Step-by-step explanation: 104.A skating champion moves along the circumference of a circle of radius 21 meters in 44 seconds. One reserved first class ticket from Chennai to Trivandrum costs Rs. For example, if a sequence starts with {eq}-5 {/eq}, it must have fewer than {eq}6 {/eq} terms, or else the sequence will have nonnegative integers. Sign In. 34. 205.A, B and C can do a work in 5 days, 10 days and 15 days respectively. If both pipes are fully open at the same time, in how many hours will the empty pool be filled to capacity? 230.For what values of x will the function be defined in the real domain? Now, I did ask my co-worker about Question 1 and he basically said look at it this way: 1/12 compared to 1/12 (which these cancel out). 143.What is the total number of different divisors including 1 and the number that can divide the number 6400? How long will the leak take to empty a full tank, when pipe A is shut? In a group of 120 sports persons, all of them play one or more games, among cricket, football . c 28 d 14 e 7 15 What is the highest power of 5 that can divide the product of from MBA 101 at Indian Institute of Technology, Kharagpur What is the area of the largest triangle that can be fitted into a rectangle of length l units and width w units? 144.How many four digit numbers exist which can be formed by using the digits 2, 3, 5 and 7 once only such that they are divisible by 25? What is the value of the divisor? 20 yields a zero, 22*24*25 yields 2 more zeroes. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by : 2. 25 30 35 50 Q8. 157, 159, 161 and 163 is another example of odd consecutive integers. If he wants to make a profit of 20% after allowing a Aount of 10%, by what % should his marked price be greater than the original label price? 191.Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. It can also be verified as the result of this product is, Therefore, the person needs to multiply 3 numbers viz. Alternatively, we could have noticed that not rolling a 2 is the same as getting a 1, 3, 4, 5, or 6, which makes up five of the six equally likely outcomes and has probability 5/6. On an average, how many minutes per hour does the train stop? His total income after a year was Rs.7000. If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a job four times as big working for 5 hours a day for 12 days? However, on account of a leak at the bottom of the tank, it takes 3 more hours to fill the tank. Ten years ago, Beths age was one half that ofChelsea. 216.When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11? Her mother has lined up the bags so that they alternate between boy and girl. Explanation under process. 66. Following are some gmat sample quantitative ability questions. So unit digit of 3127^173=unit digit of 7^173. It is given here that, a person starts multiplying consecutive positive integers from 50. 6, 10 4. 11 Share plz provide solutions to all the problems, All answers are given at the end of questions on this page. The formula to find even or odd consecutive integers is: x, x+2, x+4, x+6, x+8, etc. The total number of ways in which this can be done is, 165.What is the value of 1*1! Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available? - For instant reference A person starts multiplying consecutive integers from 20. At what line will they meet? The average of 5 quantities is 6. The average temperature on Wednesday, Thursday and Friday was 250. 155.A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. 130.Anita had to do a multiplication. 73. Numbers 1-12 represent consecutive integers! An empty swimming pool can be filled to capacity through an inlet pipe in 3 hours, and it can be completely drained by a drainpipe in 6 hours. The formula to find consecutive integers is: x, x+1, x+2, x+3, x+4, etc. The general formula for a sum of consecutive integers can be defined as {eq}\frac{k(a+l)}{2} {/eq}. Can somebody pls answer this percentage mcq Get the answers you need, now! If the sum of the two digit numbers formed by two different digits is a perfect square then sum of the digits is (1) 10 (2) 11 (3) 12 (4) 13, Binary Tree insertion and depth-first search traversal (Inorder Traversal || Postorder traversal || Preorder Traversal), Knapsack problems solution using dynamic programming using memoization. 131.Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the ratio of the surface area of any of the pyramids four triangular faces to the surface area of the shaded triangle? lessons in math, English, science, history, and more. 147.What is the reminder when 91 + 92 + 93 + + 99 is divided by 6? 16. Q2. Assume that the trains continue to travel at the same respective speeds as mentioned in case 1. A person starts multiplying consecutive positive integers from 40. Using {eq}n {/eq} as the first integer in the sequence, every sequence of consecutive integers has the form {eq}n, n+1, n+2, n+k {/eq} where {eq}n+k {/eq} represents the last integer in the sequence, or {eq}n, n+1, n+2, {/eq} for infinite sequences. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. Answer these questions - 5125552. princy4088 princy4088 princy4088 How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song? Its like a teacher waved a magic wand and did the work for me.