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If w and t are integers and w^2 – t^2 is an odd integer, which of the following must be an even integer? I. w + t + 2 II. w^2 + 2wt + t^2 III. w^2 + t^2
There are w members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of w?
In a class ratio of boys and girls is 16:25. If number of total student is 82. Find the number of girls?
A can do a piece of work in 10 days and B alone can do it in 20 days. How much time will both take to finish the work ?
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 35 percent ryegrass, what percent of the weight of this mixture is X ?
The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacke...
----------------YES---------NO----UNSURE Subject M----500--------200-----100 Subject R----400--------100-----300 A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the tabl...
when i was married 10 years ago,my wife was the 6th member in the family.today,my father died,and a baby was born to me.the average age in my family today is what it was when i was married.how old was my father when he died?
A can do a piece of work in 7 days and B can do it in 6 days how long will they both work together to complete the work?
At a certain university, 65% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.145. How much was lent at 5%?
Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10% of its volume is occupied by concrete ?
A number is said to be prime saturated if the product of all the different positive prime factors of g is less than the square root of g. What is the greatest two digit prime saturated integer ?
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 13 family members in a row for the picture?
At a certain stage of a soccer tournament, the score ratio of teams A, B and C was 3:4:5. Eventually, the score ratio of A to B has doubled while the score ratio of A to C has halved. If the final score of team C was 40, what was the final score A of team B?
a is the hundreds digit of the three digit integer x, b is the tens digit of x, and c is the units digit of x. a = b = 3c, and a > 0. What is the difference between the two greatest possible values of x? Tip: Dont stop till you have exhausted all answer choices to arrive at the correct one.
. A car covers a distance of 810 km in 5 hours. Find its speed?
Set E consists of all the prime numbers between 10 and 25. What is the range of set E?
If 7<x<9<y<15, then what is the greatest possible positive integer difference of x and y?
The average age of 32 students in a group is 10 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?
Three candidates contested in an election and received 2136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
If xy+4z = x(y+z), which of the following must be true?
If 5x = 6y and xy ≠ 0, what is the ratio of 1/3x to 1/5y ?
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
In an examination the number of successful students was 4 times the numbr of unsuccessful students If there were 35 less students nd the numbr of unsuccessful students were 9 more,then the ratio of their numbr would have been 2:1 . Find the total numbr of students
A box contains 20 green balls, 15 red balls and 25 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
5 OUT OF 1000 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
For any number d, d* is defined as the greatest positive even integer less than or equal to d. What is the value of 5.2 – 5.2*?
On a clock, how many times a day do the minute and hour hand overlap?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
If the cost of A metres of wire is C rupees, then what is the cost of E metres of wire at the same rate?
Which one of the following is not a prime number?
Let y = 2g + x^2 and g = 5x + 1. If g^2 = 121, then which of the following can be a value of 2y + 3g?
If Jan 1, 2006 was a Monday, What was the day of the week Jan 1, 2010?
The present ratio of students to teachers at a certain school is 50 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
A man can hit the target once in two. If he fires four shots in succession, what is the probability that he will hit the target?
A certain ball team has an equal number of right- and left-handed players. On a certain day, two-thirds of the players were absent from practice. Of the players at practice that day, two-third were left handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of le...
If x is chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, then what is the probability that xy will be even?
If 5% more is gained by selling an book for $ 350 than by selling it for $ 340, the cost of the book is:
One of the number is odd, Which one ?
If 0 < x ≤ 4, then which one of the following is the maximum value of (x – 1)^2 + x ?
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
A rectangular lawn of dimensions 80 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?
If 1/a^3 + a^3 represents the diameter of circle O and 1/a + a = 3, which of the following best approximates the circumference of circle O?
The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height
In how many ways can 5 GIRLS and 3 BOYS be seated on 8 chairs so that no two BOYS are together?
S is a set of 45 consecutive multiples of 5. If the smallest number in S is 55, then the greatest number in S is
A salesman commission is 10% on all sales upto $5000 and 5% on all sales exceeding this. He remits $15000 to his parent company after deducting his commission. Find the total sales?
The product of all the prime numbers less than 24 is closest to which of the following powers of 10?
If the cost price of 12 pens is equal to the selling price of 11 pens, the gain percent is:
One boy can eat 100 chocolates in half a minute, and another can eat half as many in twice the length of time. How many chocolates can both boys eat in 15 seconds?
Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?
If 28^217^312^2 = x, what is the units digit of x ?
Given three boxes I, II and III, each containing two coins. In box I, both coins are 1 rupee coins, in box II, both are 2 rupee coins and in the box III, there is one 1 rupee and one 2 rupee coin. A person chooses a box at random and takes out a coin. If the coin is of 1 rupee, what is the probability that the other co...
The difference between a number and its two-fifth is 510. What is 20% of that number?
Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
36 men can complete a piece of work in 18 days. in how many days will 27 men complete the same work ?
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 5 minutes?
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 19 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 32 cubic feet, to what fraction of its capacity is the tank filled with water?
A rower can row 7 km/h in still water. When the river is running at 2 km/h, it takes the rower 1 hour to row to Big Rock and back. How many kilometers is it to Big Rock?
A can do a piece of work in 4 hours . A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. B alone can complete the work in --- hours.
The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
Two vehicles each 900 m long are running in opposite directions on parallel paths. Their speeds are 50 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 3 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Of 600 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?
If a fisherman rows upstream at 7kmph, and downstream at 10kmph, what is the speed of the stream?
The youngest of 4 children has siblings who are 4, 5, and 7 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 21, what is the age of the youngest sibling?
The edge of a cube is 4a cm. Find its surface?
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
The ratio of pens to pencils is 5 to 6. There are 4 more pencils than pens. How many pencils are there?
Two dice are tossed. The probability that the total score is a prime number is
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18300. A's share is?
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of the interest. If she paid Rs. 432 as interest at the end of the period,what was the rate of interest ?
A and B together have Sterling 1240. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
If the sides of a triangle are 39 cm, 36 cm and 15 cm, what is its area?
What is the average of xx, 2x2x, and 66?
A 6% stock yields 8% . The market value of the stock is?
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 5 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 2 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?
If (4x + 3)(x - 2) = 4x^2 + x, what is a possible value of x?
If 2 dice are rolled, what is the probability of the total score being a even number?
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4. If the total value of all the coins in the bag is Rs.400, find the number of coins of each kind?
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
An empty pool being filled with water at a constant rate takes 7 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?
In a village of 100 households, 75 have at least one DVD player, 85 have at least one cell phone, and 70 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:
The average age of husband, wife and their child 3 years ago was 28 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
A electronics shop has a sale of Rs. 16000, Rs. 25000, Rs. 65000 for 3 consecutive months. How much sale must he have in the fourth month so that he gets an average sale of Rs. 40000?
A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
A 9-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
A 1500 m long train crosses a tree in 120 sec, how much time will it take to pass a platform 500m long?
How many seconds will a 600 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.110000, find the cost of a camel?
The product of all the prime numbers less than 10 is closest to which of the following powers of 10?

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