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At a certain university, 66% 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?
There are 4 copies of 5 different pencils. In how many ways can they be arranged on a shelf?
What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal)
25 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 3:2. How many liters of Liquid Q must be added to make the ratio 5:4?
What is the place value of 7 in the numeral 2734?
A rope of which a calf is tied is increased from 12 m to 18 m, how much additional grassy ground shall it graze?
Lali builds a tower using only red, green, and blue toy bricks in a ratio of 4:3:1. She then removes 1/2 of the green bricks and adds 1/3 more blue bricks, reducing the size of the tower by 14 bricks. How many red bricks will she need to add in order to double the total number of bricks used to build the original tower?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
In a recent election, Ms. Robbins received 7,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 20 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 50 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Calculate the amount that an investor needs to be invest to earn $460 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 9% compounded semi-annually?
A man can row with a speed of 15 kmph in still water. If the stream flows at 15 kmph, then the speed in downstream is?
562Ã—99=?
Divide Rs.116000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6.find the share of A?
What will be the CI on a sum of Rs. 25,000 after 3 years at the rate of 12 per year?
The average age of 12 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
If a survey shows that 50 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill?
What percent is 2 gm of 1 kg?
what is the value of (2)^-3?
A man can row upstream at 6km/hr and down stream at 11km/hr find mans rate in still water ?
If a card is drawn from a well shuffled deck of cards, what is the probability of drawing a black card or a face card?
The sum of 3 consecutive numbers is definitely
If w, x, and y are consecutive even positive integers and w < x < y, which of the following could be equal to y - x - w ?
If C.P. of 24 books is equal to S.P of 30 books , then your gain or loss is ?
75% of a number when added to 75 is equal to the number. The number is ?
Given two sets A = {1,1,6,6,7,7} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
An outlet pipe empties a tank which is full in 5 hours. If the inlet pipe is kept open, which lets water in at the rate of 4 litres/min then outlet pipe would take 3 hours longer. Find the capacity of the tank.
Some persons can do a piece of work in 20 days. Two times the number of these people will do half of that work in?
If log (a/b)+log(b/a) = log (a + b), then:
1. Internet: $90, with no sales tax, plus $10 shipping fee 2. Store X: $90, a 10% discount, plus 30% tax on discounted price 3. Store Y: $100, no tax 4. Store Z: $90, a 20% sales tax, and $10 rebate after tax Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Aishwarya was first to board to her flight to delhi. She forgot her seat number and picks a random seat for herself. After this, every single person who get to the flight sits on his seat if its available else chooses any available seat at random. Abhishek is last to enter the flight and at that moment 99/100 seats were occupied. Whats the probability what Abhishek gets to sit in his own seat ?
A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 10-sided polygon have?
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 9540, what is the length of the plot in metres?
To mail a package, the rate is 20 cents for the first pound and 5 cents for each additional pound. Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
Every day Daniel drives 64 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?
Three fifth of the square of a certain number is 126.15. What is the number?
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 < 980, what is the maximum possible sum of the length of x and the length of y?
If \|z\|/w = 5,which of the following must be true?
.3+33+333+33.3=?
Which of the following will divide evenly into 347,406,520?
Integers a, b, c and d, not necessarily distinct, are chosen independently and at random from 0 to 2007, inclusive. What is the probability that ad - bc is even?
The greatest common factor of positive integers m and n is 12. What is the greatest common factor of (2m^2, 2n^2)?
(1.1 + 1.1 + 1.1 + 1.1) x 1.1 x 1.1 = ? = ? x 0.121
Age of Raghav who is 30 years old is 3/5 times of Ram and Ram is older than Mohan by 35 years.If vijay's age is just between the age of Ramesh and and Mohan and Ramesh is 21 years old.What is age of vijay?
A man walking at the rate of 6km per hour crosses a square field diagonally in 9 seconds the area of the field is
A is half good a work man as B and together they finish a job in 26 days. In how many days working alone B finish the job?
What approximate value should come in place of (x) in the following question? 139.25 + 223.94 / 4.002 = x
A and B can do a piece of work in 6 days, B and C in 7 days, C and A in 8 days. How long will C take to do it?
Two brothers Ram and Ravi appeared for an exam. The probability of selection of Ram is 5/7 and that of Ravi is 1/5. Find the probability that both of them are selected.
Find the wrong number below mentioned series 11,150,280,560,800
If XY denotes X is raised to the power Y, Find the last two digits of 19413844+ 19714181
Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7000 less if they could find two more equal investors. How much is the total investment in the new business.
Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long W would it have taken for him to walk both ways.
A and B can do a work in 12 days and 36 days respectively. If they work on alternate days beginning with B, in how many days will the work be completed?
Can anyhow help me with an easy solution for this 3, 4, 81, 4, 5, 121, 6, 7, ?
If the range E of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 5 such machines to perform the same job?
The mean of 50 observations is 200. But later he found that there is decrements of 47 from each observations. what is the the updated mean is ?
Car R and Car Y traveled the same 80-mile route. If Car R took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car R, how many hours did it take Car Y to travel the route?
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
Find the missing number in the series. 2 , 3 , 6 , 0 , 10, -3 , 14...
Solve the given two equations and find the inequality of X and Y.(a) x^2-7x+12=0 and (b) y^2+y-12=0
A car travels at a speed of 65 miles per hour. How far will it travel in 7 hours?
Triangle ATriangle B are similar triangles with areas 1536 units square and 1734 units square respectively. The ratio of there corresponding height would be
Kyle, David, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/3, 2/7 and 5/9, respectively, what is the probability that Kyle and Catherine, but not David will solve the problem?
A and B invests Rs.5000 and Rs.6000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
A car traveled from San Diego to San Francisco at an average speed of 63 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 14 miles, how many miles was Mike's ride?
The rowing athletes in a rowing conference voted for coach of the year. Each rower who voted chose exactly 3 coaches to vote for among the 36 coaches in the conference. If each of the 36 coaches received exactly 5 votes (a 36 way tie), how many rowers voted for coach of the year?
A seller uses 900 gm in place of one kg to sell his goods. Find his actual % profit or loss When he sells his articles at 5 % profit on cost price ?
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
By selling an shirt for $300, a shop keeper gains 20% . During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:
The probability that A will not tell truth is 75% and the probability that B will tell truth is 60%.what is the probability that an incident described by them is true?
A and B Started a business with Rs.15000 and 12000 respectively. After 6 months B puts Rs.1000 more in his capital while after 8 months A puts Rs.5000 more in his capital. If there is a profit of Rs.35,000 after one year then B will get
How long does a train 130 m long running at the speed of 65 km/hr takes to cross a bridge 150 m length?
What is the next number in the sequence below? 1 4 9 16 25 36 49 64 81 100 121 __ ?
Find the value of 72519 x 9999 = m?
In how many ways can 4 rings be arranged in 5 finger (no finger has more than 1 ring)?
In 20 years, A will be twice as old as B was 20 years ago. If A is now 10 years older than B, the present age of B is?
In a new housing development, trees are to be planted along the sidewalk of a certain street. Each tree takes up one square foot of sidewalk space, and there are to be 9 feet between each tree. How many trees can be planted if the road is 151 feet long?
If the number 517326 is completely divisible by 7, then the smallest whole number in the place of will be:
What approximate value should come in place of question mark (?) in the following equation? of 857 of 14% – 5.6 × 12.128 = ?
How many numbers greater than 5000 can be formed with four of the digits 3, 4, 5, 6, 7 where no digit can be repeated.
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 32 cm?
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
By selling a bat for Rs.450/- a man loses 10% what is that bat cost price
The sum of the first 40 positive even integers is 1,640. What is the sum of the first 40 odd integers?
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is:
If a = (1/2)b and c = 8a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
5358 x 56 = ?
If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 10?
If 5x = 3y and xy ≠ 0, what is the ratio of 1/5x to 1/6y ?
In a group of cows and chickes, the number of legs was 14 more than twice the number of heads . the number of cows was:
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
Arun obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics. What is his average mark?
How many 6 digit number contain number 4 ?

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