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A 90 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number X is
1370 , X, 1070 , -180, -6430
Coins are to be put into 9 pockets so that each pocket contains at least one coin. At most 5 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?
John is the owner of a company and for Thanksgiving he wants to give a Turkey to each employee to celebrate the holiday. Each turkey cost him $25. If he has 85 employees, how much would John need to spend?
In how many ways letters of the word DATA be arranged?
Two pipes a and b can fill a tank in 12 hours and 15 hours respectively.if both pipe open together in tank,then how much time it take to fill the tank?
What distance will be covered by a bus moving at 72 kmph in 30 seconds?
Which of the following is equal to the value of 2^3 + 2^3 + 3^3 + 3^3 + 3^3 ?
In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
‘A’ and ‘B’ started a business in partnership investing Rs 20000/- and Rs 15000/- respectively. After six months ‘C’ jointed them with Rs 20000/-. What will beB’s share in the total profit of Rs 25000/- earned at the end of two years from the starting of the business?
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Anand and Deepak started a business investing Rs. 5,500 and Rs. 19,000 respectively. Out of a total profit of Rs. 20,800, Deepak's share is?
A man can row with a speed of 12 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
A train leaves New York City at 7.15 Am and arrives in Buffalo at 2.47 that afternoon. What total length of time does the trip take?
A no.when divided by 158 gives a remainder 50, what remainder will be obtainedby dividingthe same no.16?
In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
If selling price of 12 pens is equal to the cost price of 18 pens, find the profit percent.
The probability that a convenience store has no iced tea is 60%. If Karl is stopping by 3 convenience stores on his way to work, what is the probability thatat least oneof the stores will not have a can of iced tea?
If a and b are the roots of the equation x2 - 9x + 9 = 0, then the value of a2 + b2 is:
A businessman earns $26800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be Source: CMAT Preparation
An insect leaps 72 centimeters in 1.5 seconds. What is its speed?
A room contains 200 people, 15 percent of whom are women. A group of people, 30 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 45% are drinking beer, 40% are drinking mixed drinks, and 15% are drinking both. Of the second year students,...
Which of these following integers is the square of an integer?
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
Martha takes a road trip from point A to point B. She drives x percent of the distance at 50 miles per hour and the remainder at 40 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
An amount of Rs.10,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
What is the speed of the stream if a canoe rows upstream at 4km/hr and downstream at 12km/hr
A cylinder is inserted in a sphere d/h = 2/3. Find the surface area of the cylinder ?
Jerry and Beth each drove from Smallville to Crown City by different routes. Jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Jerry to complete the trip. How many miles per hour was Beth's average speed on th...
The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly five elements each?
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 15) both lie on the line defined by the equation x = (y/5) - (2/5), what is the value of p?
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 240 marks in the second test and failed by 57 marks in that test. Find the pass mark in the first test?
A scuba diver descends at a rate of 32 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 6400feet below the sea level..how long will he take to reach the ship?
A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $320,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment?
Find the next number in this Sequence and solve this thinking riddle. 6 14 36 98 ?
A and B can complete a work in 15days and 10day. They started doing the work together but after 2days B had to leave and A alone completed the remaining work. The whole work was completed in?
In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 320 points, how many points is the third question worth?
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
A lamp is put on one corner of a square plot of side 50m. It's light reaches 21m. Find the area of that plot that is lit by that lamp?
4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 3 professor, how many ways can this committee be formed?
A travel agent offers a vacation plan which costs 'a' dollars for the first day, and a/5 for each additional day. How much does a vacation of b days cost, where b > 1.
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
In one can of mixed nuts, 50% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
A set of 12 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Evaluate 24.39 + 562.093 + 35.96
In a race where 15 cars are running, the chance that car X will win is 1/4, that Y will win is 1/8 and that Z will win is 1/12. Assuming that a dead heat is impossible, find the chance that one of them will win.
Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are:
Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1300. What is the gain or loss in percentage?
A password of a computer used six digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Y and Z are in a relay race. Y runs the first leg of the course in 58 seconds. Z runs the second leg of the course in 26 seconds. What was the average time they took to run a leg of the course?
Along a yard 441 metres long, 22 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
A military garrison in a wild frontier has 600 men who have provisions to last 25 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?
An outlet pipe can empty 2/3 rd of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied?
Tough and Tricky questions: Number Properties. What is the smallest positive integer x such that 1512x is the cube of a positive integer?
Which one of the given numbers is divisible by 11?
How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?
On a certain plane, 2/5 of the passengers speak Farsi and 3/4 speak English. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?
In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is?
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 363 sq m, then what is the breadth of the rectangular plot?
A clothing store prices jeans at 30% above the wholesale price of $50. They have a sale for 25% off all jeans. How much would a customer pay for 2 pairs of jeans during the sale?
A, B and C enter into a partnership by investing $7000, $11000 and $18000 respectively. At the end of 8 months, B receives $2200 as his share. Find the share of A.
How many halves are there in nine-fourth?
The sale price sarees listed for Rs.278 after successive discount is 18% and 19% is?
The unit digit in the product 784618917*463 is?
A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 5 or 12?
21 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 20 kmph and 21 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?
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 10.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
Joe bought a concert ticket for a 40% off the original price. If the ticket cost him $46.35, what is the original selling price of the ticket?
How many odd integers between 200 and 600 are there such that their tens digit is even?
In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
If the area of a circle is 49pi square feet, find its circumference.
In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 5.The largest number exceeds the second largest number by how much ?
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train?
J is 25% less than P and 20% less than T. T is q% less than P. What is the value of q?
The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8587 for a computer table, then what was the cost price of the computer table?
let S is a set of all natural numbers less than 120 such that HCF of any element in S and 120 is 1. Find the sum of all elements in S?
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Calculate 12351 ÷ ? = 69
find remainder when (10^3+9^3)^1000 divided by 12^3
How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Evaluate: 6602.5 + 660.25 + 66.025 + 6.6025 + 0.66025
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
When a Laptop is sold for Rs. 49,000, the owner loses 30%. At what price must that Laptop be sold in order to gain 30%?
Find the cost of fencing around a circular field of diameter 16 m at the rate of Rs.3 a meter?
The difference between simple interest and compound interest on Rs.1400 for one year at 20% per annum reckoned half-yearly is:
Sambhu buys rice at Rs. 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage ?
In Town P, 60 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town P are females?
Four contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 750, how many terms that are smaller than 625 are there in the sequence?

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