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big_math_dataset

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ABCD IS A square AEGF IS A rectangle..such that the rectangle shares 25% of the area of the suare ALSO AE lies ON THE LINE AB and AG lies on segment of AD.if the square shares half the area of the rectangle what is the ratio AE:AG?
Fill in the missing number: 18 14 12 ? 10.5 10.25
Six people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.6.30 less, he would have gained 30%. Find the cost of the article.
A drawer contains red socks, black socks, and white socks. What is the least number of socks that must randomly be taken out of the drawer to be sure of having four pairs of socks? (A pair is two socks of the same color.)
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A city council will select 2 of 9 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
Of two mixers and one T.V cost Rs.7000, while two T.Vs and one mixer cost Rs.9800, the value of one T.V is :
Jake remembers only the last three letters of his four-letter Klingon name. If he is sure that the first letter is neither "N" nor "Z", and assuming that there are only 10 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
A, B and C rents a pasture for Rs.957. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
The least number which when increased by 5 each divisible by each one of 24, 32, 36 and 54 is :
The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Let a be a positive integer. If t is divisible by 2^a and t is also divisible by 3^(2a), then it is possible that t is NOT divisible by
Two pipes can fill a tank in 10 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
0.0003 x 0.3 = ?
A rectangular table seats 7 people on each of two sides, with every person directly facing another person across the table. If fourteen people choose their seats at random, what is probability that any two of them directly face other?
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $175 million, which represented 10 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
A shopkeeper sold an book offering a discount of 5% and earned a profit of 42.5%. What would have been the percentage of profit earned if no discount was offered?
If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or % loss made by the merchant?
A seller has 1000kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
PR is tangent to a circle at point P. Q is another point on circle such that PQ is diameter of circle and RQ cuts circle at M. if radius of circle is 4 units and PR=6units. find ratio of triangle PMR to PQR.
Find the day of the week on 16th July, 1776.
A gambler has won 40% of his 40 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 70% of the time, how many more games must he play to end up winning 60% of all his games for the week?
What will be the compound interest on Rs. 25000 aŌer 3 years at the rate of 12 % per annum
Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
Which of the following is a perfect square? .
The difference between the local value and the face value of 3 in the numeral 62975143 is
2015.98 + 1275.087 – 175.98 × 0.95 + 988.09 = ?
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number
A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
When a 192 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available ?
The length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2. What is the area of the original square?
There are 60 doors marked with numbers 1 to 60. There are 60 individuals marked 1 to 60. An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individu...
A ferry can transport 100 tons of vehicles. Automobiles range in weight from 1,800 to 3,200 pounds. What is the greatest number of automobiles that can be loaded onto the ferry?
The sum of the present age of Henry and Jill is 40. What is their present ages if 11 years ago Henry was twice the age of Jill?
A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is :
The radius of a cone is 14 m, slant height is 20 m. Find the curved surface area?
If a and b are multiples of 5 then which are all the multiples of 5 1) a/b 2) a*b 3) a+b 4) a-b 5) a^b
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
If k is the sum of the digits of integer m, and m=13n, where n is an integer, which of the following must be true?
If x,y ,and z are positive real numbers such that x+y-z =50 , y-z+x =60 , and z-x+y = 80, then find the z value?
At what approximate time between 4 and 5 am will the hands of a clock be at right angle?
A can do a piece of work in 90 days & Y can do it in 80 days. They began working together but A leaves after some days and then B completed the remaining work in 46 days. The number of days after which A left the work was?
The speed of a car is 90 km in the first hour and 30 km in the second hour. What is the average speed of the car?
Two persons start at the same point, walk in opposite directions with 7 km/hr and 4.5 km/hr respectively. What is the distance separated after 2 and half hrs?
John can complete a given task in 20 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 4 days before the work got over. In how many days did the work get over from the time John and Jane started to work on ...
1, 5, 13, 25, 41, ?
B and C start a business with Rs.2000 and Rs.10000 respectively. Hoe should they share their profits at the end of one year?
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the % Q profit made by the merchant?
Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the raƟo of the speed of the dog to that of the hare is
5 z – 3 < 3 z + 4, which of the following cannot be a value of z3z3 ?
Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?
What percent of a week is 3 days?
The price of lunch for 14 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?
A man buys Rs. 20 shares paying 9 % dividend. The man wants to have an interest of 12% on his money.The market value of each share is :
A certain number of machines can do a work in 75 days. If there were 6 machine more it could be finished in 15days less. How many machines are there?
A and B walk around a circular track. They start at 9 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 12:00 P.m.?
Diesel costs Rs.4per lit and petrol costs 5.63 per litre. If the price of diesel rise by 10% a month and the price of petrol is unchanged.How many months will it take until a litre of Diesel costs more than a litre of petrol.
The average of first seven multiples of 5 is:
What day of the week does May 28 2006 fall on
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
The ratio of the present ages of a man and his wife is 6 : 5. Which of the following can't be a possible ratio of their ages 35 years ago?
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
The average height of 40 girls out of a class of 50 is 169 cm. and that of the remaining girls is 167 cm. The average height of the whole class is :
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
If 10 is added to thrice a number and this sum is multiplied by 5, the result is the same as if the number is multiplied by 5 and 13 is added to the product. What is the number?
If A's salary is 25% higher than B's salary,then how much percent is B's salary lower than A's?
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
A and B finish the job in 15 days.while A,B and C can finish it in 10 days . C alone will finish the job in
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 550 m long?
A certain company reported that the revenue on sales increased 60 % from 2000 to 2003, and increased 80 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
daal is now being sold at rate Rs.20 a kg.During last month its rate was Rs 16 per kg.By How reduce percent should a family its consumption so as to keep the expenditure fixed?
From the following choice, what is the equation of a line whose x-intercept is half as that of line 3x+4y=12 and y-intercept twice of same
Sachin is younger than Rahul by 7 years. If the ratio of their ages is 5:12, find the age of Sachin
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
If b> 0, a> 0, and (b^2)a= b,then which of the following MUST equal b?
If a train, travelling at a speed of 18 kmph, crosses a pole in 5 sec, then the length of train is?
In one hour, a boat goes 15 km/hr along the stream and 11 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
A batsman makes a score of 66 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
In what ratio must wheat at Rs.3.20 pe rkg be mixed with wheat at Rs.2.90 per kg so that the mixture be worth Rs.3.08 per kg
Timothy leaves home for school, riding his bicycle at a rate of 6 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 36 miles per hour, how far (in terms of miles) must she drive before she rea...
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
There is a sequence A(n) such that A(n+1)=2A(n)-1 and A(1)=3, where n is a positive integer. What is the value of A(76)-A(75)?
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 7 p.c?
The G.C.D. of 1.08, 0.36 and 0.6 is:
In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 4 metres then what will be the area of the square so formed?
If 0.75 : x :: 3 : 8, then x is equal to:
The cost of 3 kg of sugar is $90. What will the cost of 8 kg of sugar be?
How many 3-digit numbers are completely divisible 6 ?
Nitin borrowed some money at the rate of 4% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
The Average of 11 results is 16, if the average of the 1st 6 results is 58 & that of the last 63. Find the 6th result.