Split (1)

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If b does not equal zero, and ab = b/6, what is the value of a?
How many ways are there to split a group of 8 boys into two groups of 4 boys each? (The order of the groups does not matter)
If A is thrice as fast as B and together can do a work in 12 days. In how many days A alone can do the work?
Length of a rectangular plot is 28 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
The sum of two number is 25 and their difference is 13. Find their product.
Two dice are tossed. The probability that the total score is a prime number is
A certain elevator has a safe weight limit of 2,500 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?
The Royals softball team played 75 games and won 55 of them. What percent of the games did they lose? (round to the nearest tenth)
Some of the people in Town B are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town B, three times as many people are tall as are tall in Town B, three times as many people are both as are both in Town B, but no one is neit...
January 1, 2007 was Monday. What day of the week lies on Jan. 5, 2008?
Beth received 1/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast?
One pipe can fill a tank four times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
A firm has 4 senior partners and 6 junior partners. How many different groups Q 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)
A software programmer does 20% of the work in 70% of the time, and 80% of the work in the remaining 20% of the time. If the code he writes is X lines long and he was given one month (30 days) to accomplish the task, then, assuming that the programmer works at a constant rate in each of the two stages, How many lines of...
If 7^(x - y) = 343 and 7^(x + y) = 16807, what is the value of x?
The average marks obtained by 100 candidates in an examination is 50. Find how many candidates have passed in the examination, if the average marks of candidates who passed is 70 and that of failed candidates is 20.
David has d books, which is 2 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $55,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the c...
A watch was sold at a loss of 10%. If it was sold for Rs.182 more, there would have been a gain of 4%. What is the cost price?
If the complement of a certain angle is three times the measure of that certain angle, then what is the measure of that certain angle?
The length of a rectangular garden is three times its width. If the area of the rectangular garden is 432 square meters, then what is the width of the rectangular garden?
If the number 517324 is completely divisible by 7, then the smallest whole number in the place of will be:
Vijay went to a shop and bought things worth Rs. 25, 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?
In a certain population, there are 4 times as many people aged twenty-one or under as there are people over twenty-one. The ratio of those twenty-one or under to the total population is
In how many ways can 8 Indians , 4 Americans and 4 Englishmen be selected in a row so that all persons of the same nationality sit together?
Sonika bought a V.C.R. at the list price of 18,400. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.
A word is defined as a sequence of four dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
The area of a triangle is with base 4m and height 6m?
A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work?
House owner decides to repaint the house. He want to make a particular wall in the hall, decorative and decides to put 7 coloured horizontal stripes in it. The seven colours he chose is Violet, Indigo, Blue, Green, Yellow, Orange, Red. As Blue, Violet and Indigo are very similiar shades he decides not to put them next ...
Four equal circles are described about the four corners of a square so that each touches two of the others. If a side of the square is 14 cm, then the area enclosed between the circumferences of the circles is :
A number is to be multiplied by the fraction 4/5.But amit, by mistake multiplied it by 5/4 and obtained the number 81 more than the correct value.what was the original number?
The ratio of the adjacent angles of a parallelogram is 6 : 9. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
What is x if x + 2y = 10 and y = 3?
If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 7 (B + G) is ?
10% of the inhabitants of village having died of cholera, a panic set in during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
The cost of a Washing machine was $400 in 1985. In 2014, the cost had increased to $800. What was the percent increase in the cost of Washing machine?
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 3%. What is the cost price?
At a party, there were seven times as many females as males and twice times as many adults as children. Which of the following could NOT be the number of people at the party?
Ratio of the earnings of A and B is 4:7. If the earnings of A increases by 50% and those of B decreased by 25%, the new ratio of their earnings becomes 8:7. What are A's earnings?
Village P’s population is 1150 greater than Village Q's population. If Village Q’s population were reduced by 200 people, then Village P’s population would be 4 times as large as Village Q's population. What is Village Q's current population?
22 + 23 + 24 + ... 61 + 62 + 63 = ?
Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
A and B invests Rs.6000 and Rs.12000 in a business. After 6 months, A withdraws half of his capital and B withdraws two-third of his capital. In what ratio should they share the profits at the end of the year?
On 5th Mar, 2012 Monday falls. What day of the week was it on 5th Mar, 2011?
A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?
A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 30% melted chocolate and 70% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the pro...
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A number of the form 213ab, where a and b are digits, has a reminder less than 10 when divided by 100. The sum of all the digits in the above number is equal to 13. Find the digit b.
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 8400 ?
For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <4>*<2>?
If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/2 and f(ab) = 1/12 then b= ?
The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $50,000, how much profit did the business make?
Using only the digits from 0 to 6 , how many 5 digit codes can be constructed, if the first digit can not be 4 and no digits is used more than once ?
A, Band C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
L is a positive integer and 225 and 216 are both divisors of L. If L=(2^a)(3^b)(5^c), where a, b and c are positive integers, what is the least possible value of a+ b+ c?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
If a and b are each greater than x and y, which of the following must be true? I. ab > xy II. \|a\| + \|b\| > \|x\| + \|y\| III.a + b > x + y
If a boat goes 5 km upstream in 50 minutes and the speed of the stream is 3 kmph, then the speed of the boat in still water is
The expression ab+a is odd when the a and b are integers. Which of the following expressions must be even?
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE
What is the difference between the C.I. on Rs. 8000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum V of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ?
There are 2 couples. If they will sit 4 chairs in a row such that each couple sits side by side, how many possible cases are there?
A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
A man can row 7.5 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.
The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about ...
What is the place value of 0 in the numeral 2074?
A boat running downstream cover a distance of 24km in 6 hr while covering the same distance upstream it takes 8 hr then the speed of the boat still in the water
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 12, how many more dollars, in terms of x, will it cost per person?
A grocer has a sale of Rs. 4435, Rs. 4927, Rs. 4855, Rs. 5230 and Rs. 4562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 4500?
On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The first box contains $5, the second $500, and the third $5000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. Wha...
Working simultaneously and independently at an identical constant rate, 30 machines of a certain type can produce a total of x units of product P in 3 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 5x units of product P in 10 days?
Five different books (A, B, C, D and E) are to be arranged on a shelf. Books A , B ,C and D ARE to be arranged first and second starting from the right of the shelf. The number of different orders in which books E may be arranged is
In how many ways can 7 distinct objects be divided among three people so that either one or two of them do not get any object?
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is ?
A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
X and Y are two points respectively on sides AB and AC of triangle ABC such that XY is parallel to BC. If the ratio of area of triangle AXY to that of the trapezium XYCB is 25:144 and XY=13 cm, then find the length of BC.
8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :
Look at this series: 0.25, 1.75, ____, 85.75, 600.25, ... What number should fill the blank?
In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
How many even number in the range between 10 to 170 inclusive are not divisible by 3
Find the mean proportional between 49 & 64?
The sum of all the integers a such that -26 < a < 24 is
A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. working together, they can do it in
After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 70%? M13-03.
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many C such committees are possible?
If a sample of data has mean of 20 and SD of 3, which of the following values is more than 2.6 SDs from the mean?
Calculate the cost of j bottles of wine given that the cost of k bottles of said wine is c rupees?
The average of 21 numbers is 44. Average of the first 11 of them is 48 and that of the last 11 is 41. Find the 11th number?
If, 1 * 3 * 5 = 16 3 * 5 * 7 = 38 Then find, 5 * 7 * 9 =?
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 15 kmph and Prasanna moves southward at a speed of 45 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
A car covers a distance of 624 km in 6 ½ hours. Find its speed?
The line C represented by which of the following equation does not intersect with the line represented by y = 3x^2+5x+1

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