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The total number of digits used in numbering the pages of a book having 346 pages is
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.5300, what is the length of the plot in metres?
A rich merchant had collected many gold coins. He did not want anybody to know about him. One day, his wife asked, " How many gold coins do we have?" After a brief pause, he replied, "Well! if I divide the coins into two unequal numbers, then 48 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins the merchant has?
How many days are there in x weeks x days
How many two-element subsets of {6,7,8,9} are there that do not contain the pair of elements 8 and 9?
A fast food restaurant sells chicken in orders of 6, 9, and 20. What is the largest number of pieces of chicken you cannot order from this restaurant?
The positive integer b is divisible by 5. What is the remainder when dividing 3(6+b)(5+b) by 5?
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Two pipes A,B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.?
The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
The ratio of three numbers is 1:2:4 and the sum of their squares is 4725. The sum of the numbers is?
Which number is the odd one out? 9654 4832 5945 7642 7963 8216 3649
One fourth of a solution that was 10% sugar by weight was replaced with by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Tough and Tricky questions: Word Problems. Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?
Sudhir started a business with Rs.40,000 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
The area of a triangle is with base 5.5m and height 6m?
From the integer n, if nnn is odd, then what is true from below options?
Two trains of length 100 meters and 200 meters are 840 meters apart. They are moving towards each other on parallel tracks, at speeds of 54 km/h and 72 km/h. After how many seconds will the trains meet?
How many three-element subsets of {1,2,3,4} are there that do not contain the pair of elements 2 and 4?
If a(a + 6) = 27 and b(b + 6) = 27, where a ≠ b, then a + b =
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 1 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A palindrome is a word or a number that reads the same forward and backward. For example, 2442 and 111 are palindromes. If 5-digit palindromes are formed using one or more of the digits 1, 2, 3, 4, and 5, how many palindromes are possible?
A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 2.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46 and 78 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 kgs.
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 $46,875, how much profit did the business make?
When the price of an article was reduced by 40% its sale increased by 80%. What was the net effect on the sale?
If (20)² is subtracted from the square of a number, the answer so obtained is 4321. What is the number?
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability T this college graduate has a graduate degree?
The greatest common factor of positive integers m and n is 14. What is the greatest common factor of (2m^2, 2n^2)?
A sun is divided among X, Y and Z in such a way that for each 5 rupees X gets, Y gets 3 rupees and Z gets 2 rupees. If the share of Z is RS. 200, what is the total amount of X and Y?
If n is a prime number and n ≠ 3, which of the following could be the remainder when 100! + n is divided by 3? I. 2 II. 1 III. -2
If xy > 0, 1/x + 1/y = 15, and 1/xy = 5, then (x+y)/5 = ?
A farmer sells his strawberries through a distributor, which take a commission of 12% of the price set by the farmer. The distributor obtains the product from a farmer at the price of $35 per bushel. What is the price that the buyer observers if the distributor wants to maintain a 12% profit on the cost of a bushel?
A train passes a man standing on the platform. If the train is 160 meters long and its speed is 72 kmph, how much time it took in doing so?
Length of a rectangular plot is 12 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
How much time does a train 125 metres long running at 60 km/hr take to pass a pole?
A car travels uphill at 30 km/hr and downhill at 90 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction R of the total distance did he cover while the sun was shining on him?
4,25,49,121,169,289,361,
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Two men and three women can repair a bridge in 10 days while three men and two women can do same work in 8 days. If two men and one woman are used to finish this work, in how many days they will complete it?
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?
Andrew is selling fruit to be able to buy a new bike. The bike costs 400. He sells a large bag of fruit for $8. He so far has sold 32 bags, how many more need to be sold in order to buy the bike.
Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 7:00 am and Pipe B at 8:00 am, at what time will the pool be full?
A number increased by 10% gives 660. The number is?
A driver covers a certain distance by car driving at 60 km/hr and returns back to the starting point riding on a scooter at 10 km/hr. What was the average speed for the whole journey?
Walking at 3/4 of her normal speed, a worker is 12 minutes later than usual in reaching her office. The usual time (in minutes) taken by her to cover the distance between her home and her office is
The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 27, what is the value of a?
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
According to a survey, at least 55% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
If 76 is divided into four parts proportional to 7,5,3,4, then the smallest part is
The positive integers p and q leave remainders of 2 and 3, respectively, when divided by 6. p > q. What is the remainder when p – q is divided by 6?
A student can select one of 10 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
Simplify: 0.20.4+0.60.8
Find the number of factors W of 180 that are in the form (4*k + 2), where k is a non-negative integer?
To complete a work A and B takes 8 days, B and C takes 12 days, A,B and C takes 6 days. How much time A and C will take
The current birth rate per certain number of people is 32, whereas corresponding death rate is 11 per same number of people. If the net growth rate in terms of population increase is 2.1 percent, find number of persons.(initally)
A and B together can do a piece of work in 10 days. B alone can finish it in 20 days. In how many days can A alone finish the work ?
5358 x 52 = ?
A can do a piece of work in 12 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.700, what is the reduced price for kg?
In the first 10 overs of a cricket game, the run rate was only 3.8. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
By selling 12 toffees for a dollar, a man loses 20%. How many for a should dollar be sell to get a gain of 20%?
The average age of 20 students in a class is 15 years. If the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
A, B and C run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. If the length of the track is 400 meters, when will A, B and C meet at the starting point for the first time after they started the race?
There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains same digits only.Can you find that number ?
The area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is?
A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is three-fifth of the distance traveled by bus. If he traveled by train, plane and bus, then find the distance traveled by bus?
Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/6, what percent of the total number of the remaining employees would then be clerical?
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Which is greater 2/3 or 3/4?
A carpenter makes 7 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk- bed is used by two soldiers?
A money lender lent a total of $1700 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1700, how much did he lend to each of the two customers?
What should come in place of question mark (?) in the following equation? 45% of 1500 + 35% of 1700 = ? % of 3175.
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60?
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
If t,u, and v are positive integers and 2t=2u+2v, which of the following must be true? i. t=u ii. u is not equal to v iii. t > v
It is currently 9:53 PM. What time was it in the morning exactly 149,061 minutes ago?
A photograph is copied onto a sheet of paper 8.5 inches by 10 inches. A 1.5 inch margin is left all around. What area in square inches does the picture cover?
Express of the following as a fraction: 0.6%
The ratio of two quantities is 2 to 5. If each of the quantities is increased by 4, what is the ratio of these two new quantities?
A box contains 5 yellow balls and 6 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
The ratio between the speeds of two trains is 7: 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is ?
Adding two non multiples of W always results in a multiple of W; which of the following must be the value of W ?
The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the fortythird term in the sequence?
How many terminating zeroes Q does 200! have?
Evaluate ((5.68)2 – (4.32)2)/5.68- 4.32
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Skier SARAH completes a straight 300-meter downhill run in t seconds and at an average speed of (x + 10) meters per second. She then rides a chairlift back up the mountain the same distance at an average speed of (x - 8) meters per second. If the ride up the mountain took 135 seconds longer than her run down the mountain, what was her average speed, in meters per second, during her downhill run?
John is measuring a banner for the school play and needs to know how many inches are in 5 yards and 2 feet. Can you help him out?
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
The diagonals of a rhombus are 13 cm and 20 cm. Find its area?
Find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 10 cm.
45 men can complete a work in 14 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?
On a ferry, there are 32 cars and 8 trucks. The cars have an average mass of 900 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 40 vehicles on the ferry?
If the sides of a triangle are 26 cm, 24 cm and 12 cm, what is its area?
Which one of the following numbers is a solution of the equation (x(2sq)-2)(x(2sq) + 6)(x(third3)-8) = 0?

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