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The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the width of the rectangle?
Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
For any integer k > 1, the term “length of an integer” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. For example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. If x and y are positive integers such that x > 1, y > 1, and x + 3y < 940, what i...
A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?
Today John is twice as old as Sam and Sam is 2 years younger than Mike. If John, Sam, and Mike are all alive 6 years from today, which of the following must be true on that day. I. John is twice as old as Sam II. Sam is 4 years younger than Mike III. John is older than Mike
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
A train 200m long passes a standing man in 20 seconds. What is the speed of the train?
If the length of the longest chord of a certain circle is 24, what is the radius of that certain circle?
If a number R between 0 and 1 is selected at random, which of the following will the number most likely be between?
A man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 25 miles per hour. The woman stops to wait for the man 5 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wa...
One fourth of one third of two fifth of a number is 25. What will be40% of that number
In a box there is a number of balls, out of which 1/5 are green, 1/2 are red, 1/10 are pink and the remaining 10 are orange. How many balls are green?
The integer W has a tens digit of 6 and a units digit of 7. The units digit of integer y is 8. The product of W and y has a tens digit of 8. Which of the following is a possible tens digit of integer y?
Three unbased coins are tossed. the probability of getting at most one head two tail is ?
Rahul went to a shop and bought things worth Rs. 75, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
You collect pens. Suppose you start out with 5. Mike gives you another 20 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?
An Ant is climbing 30 meters tall pole. It climbs 3 meter during the day and slips down 2 meters down during night in sleep, How many days it takes to reach the top of the pole?
If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 6 other contributions made before john's, what is the size of his donation?
Ashok secured average of 74 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Set S is given as S = {1,3,5,7,9,11,13,15,17}. In how many ways can three numbers be chosen from Set S such that the sum of those three numbers is 18?
HE SUM OF EVEN INTEGERS: The sum of the even numbers between 1 and k is 79*80, where k is an odd number, then k=?
Kiran had 85 currency notes in all , some of which were of Rs.100 denaomination and the remaining of Rs.50 denomination the total amount of all these currency note was Rs.5000.how much amount did she have in the denomination of Rs.50?
How many liters of water must be evaporated from 50 liters of a 3 percent sugar solution to get a 4 percent sugar solution?
A committee of 4 people is to be selected from 6 people. How many different committees are possible?
A firm has 3 senior partners and 5 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
Which of the following fractions is greater than 3/5 and less than 6/7?
1200 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
I. a3 - 988 = 12, II. b2 - 51 = 49 to solve both the equations to find the values of a and b?
If w is 40 percent less than r, r is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
In My, Xiang sold 15 used cars. For these 15 used cars the range of selling prices was 15,000 and the lowest selling price was 4,500. In June, Xiang sold 10 cars. For these 10 cars the range of selling was 9,000 and the lowest selling price was 6,100. What was the range of selling prices for the 25 used car sold by xia...
Two numbers are in the ratio of 1 : 2. If 9 be added to both, their ratio changes to 3 : 5. The greater number is
X and Y can do job in 25 days and 30 days respectively. They work together for 5 days and then X leaves. Y will finish the rest of the work in how many days?
The present ages of three persons in proportions 2 : 3 : 5. Eight years ago, the sum of their ages was 36. Find their present ages (in years).
Which of the following equations represents a line that is perpendicular to the line described by the equation 3x + 4y = 10?
The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 8, 7, 14 and 16. What is the range in the number of years of service of the eight employees?
A box contains 23 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
22.085 × 0.001 = ?
If four coins are tossed, the probability of getting two heads and two tails is?
Sachin is younger than Rahul by 5 years. If the ratio of their ages is 7:9, find the age of Sachin
A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 1/2 days. How many more days are required to complete the remaining work if they work together?
A pump can fill a tank with water in 8 hours. Because of a leak, it took 16 hours to fill the tank. The leak can drain all the water in ?
On a test consisting of 30 questions. No. of wrong answers is 50% less than number of right answers. Each answer was either right or wrong. What is the ratio of right answers to wrong answers?
If b equals 10% of a and c equals 20% of b, then which one of the following equals 30% of c?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
A is the average (arithmetic mean) of the first 7 positive multiples of 8 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
In a race of length Lmetres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
Lory spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Dhoni spent 20 percent of his earning last month on rent and 5 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?
If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number D of integers that can be negative?
In the first M games of a team's season, the ratio of the team's wins to its losses was 3:1. In the subsequent N games, the ratio of the team´s wins to losses was 2:3. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games?
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?
What will be in the next series 1, 7, 8, 49, 56, 57, 343, ...
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constan...
Machine X can complete a job in half the time it takes Machine Y to complete the same job, and Machine Z takes 50% longer than Machine X to complete the job. If all three machines always work at their respective, constant rates, what is the ratio B of the amount of time it will take Machines X and Z to complete the job...
Which of the following CAN be the least common multiple of two positive integers 2 and 8?
The average age of three boys is 15 years. If their ages are in the ratio 3:5:7, the age of the youngest boy is :
How many unique positive odd integers less than 60 are equal to the product of a positive multiple of 5 and an odd number?
The president of a country and 8 other dignitaries are scheduled to sit in a row on the 9 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 9 people?
A rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Johny traveled the entire 60 miles trip. If he did the first 6 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Shreehari has 125 pencils. There are 25 students are studying in his class. He would like to give each student the same amount of pencils, how much should he give to each student?
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 10 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
If 0 < a < b and k = (2a + 8b)/b , which of the following must be true?
An aeroplane covers a certain distance of 420 Kmph in 6 hours. to cover the same distance in 4 2/3 hours, it Must travel at a speed of ?
If x ≠ 0 and x^4 - (2- x^4)/x^4 = y/x^3, then y =
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 70 kmph. Find the speed of the boat in still water and the speed of the stream?
If the simple interest on a sum of money at ten percent per annum for five years is Rs.6000, compound interest on the same sum for the same period at the same rate of interest is
Worker W produces n units in 5 hours. Workers V and W work independently but at the same time, produce n units in 2 hours. How long would it take V alone to produce n units?
A van takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Jackson invested $400,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the...
Which of the following trains is the fastest?
O(x) represents the least odd integer greater than x, whereas o(x) represents the greatest odd integer less than x. Likewise, E(x) represents the least even integer greater than x, whereas e(x) represents the greatest even integer less than x. According to these definitions, the value of O(3.2) + E(–1.7) + o(–1.3) + e(...
If the area of a circle decreases by 36%, then the radius of a circle decreases by
The ratio of investments of A, B and C is 5:6:7. If they share the profit in the ratio of 5:18:14, then find the ratio of their periods of investments.
The length of rectangle is thrice its breadth and its perimeter is 48 m, find the area of the rectangle?
How many different three-digit integers can be composed of digits 1, 2, and 3 ?
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Two trains of length 120 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
What is 2 4/3 - 3 1/4 divided by 2/3 - 1/6 ?
The area of a rectangular plot is 18 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?
Sudhir started a business with Rs.30,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be
If l=4p where p is a prime number greater than 2, how many different positive even divisors does l have, including l?
If -4-X < (2-5X)/3, which of the following is correct?
The edge of a cube is 2a cm. Find its surface?
In what time a sum of money double itself at 3% per annum simple interest?
Which is better investment: 11% stock at 143 or 9% stock at 117?
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 45 hours If Harry and James we...
64 + 5 * 12 / (180/3) = ?
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Of 70 players on a football team, 43 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
The ratio of 2 numbers is 10:20 and their H.C.F. is 100. Their L.C.M. is ?
X is able to do a piece of work in 8 days and Y can do the same work in 12 days. If they can work together for 3 days, what is the fraction of work left?
If 0 < P < Y, P is an odd number and Y is a prime number, which of the following can be the value of P + Y ?
A car during its journey travels 30 minutes at a speed of 60 kmph, another 45 minutes at a speed of 80 kmph, and 1 hours at a speed of 70 kmph.The average speed of the car is
What should come in place of the question mark (?) in the following number series? 11 20 31 44 59 ?
Given that there are 5 basketball players per team, how many ways can you select 3 basketball players from 4 teams if no more than one player can be selected from each team?