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big_math_dataset

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An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60 kg of pure iron?
The probability of rain showers in Barcelona on any given day is 0.2. What is the probability that it will rain on exactly one out of three straight days in Barcelona?
A man purchased 3 blankets @ Rs.100 each, 6 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
What is the compound interest paid on a sum of Rs.700 for the period of 2 years at 10% per annum.
Of the 80 electronics components that a factory must manufacture, 60 percent would be most e¢ ciently manufactured by Machine A and the remaining 40 percent would be most efficiently manufactured by Machine B, though either machine could manufacture any of the 80 components. If 60 percent of the components were manufac...
Raja purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.
When x is divided by y, the quotient is z with remainder r. Which of the following is equal to r?
A miniature gumball machine contains 4 blue, 3 green, and 2 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?
In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ?
A car is purchased on hire-purchase. The cash price is $25 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
The ratio between the presents of the A and B is 6:7. If B is 4 years older than A, what will be the ratio of the ages of A and B after 4 years?
The salary of A, B, C, D, E is Rs. 10000, Rs. 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
The triplicate ratio of 1:8 is?
The length of the bridge, which a train 110 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
A man and a boy complete a work together in 24 days. If for the last 6 days man alone does the work then it is completed in 26 days. How long the boy will take to complete the work alone?
Pinky bought six Chocolate at an average price (arithmetic mean) of 5¢. If Pinky returned four chocolate to the retailer, and the average price of the remaining chocolate was 2¢, then what is the average price, in cents, of the four returned chocolates?
John makes $30 a week from his job. He earns a raise andnow makes $40 a week. What is the % increase?
The avearage age of boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment S1 ---------------------- 5 ------------------------------------------ 5,000 S2 ---------------------- 5 ------------------- ---------------------- 12,000 S3 ---------------------- 8 ------------------------------------------ 17,000 S4 -----------...
A classroom has equal number of boys and girls. NINE girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 95 students?
What decimal fraction is 40 ml of a litre ?
A certain manufacturer sells its products to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,750 units of the manufacturer’s product per store, which of the following is closest to the total number of units of manufac...
Rajani, Roja and Ramani share a sum of money in the ratio 7 : 8 : 16. If Ramani receives Rs. 27 more than Rajani, then the total money shared was:
The positive numbers w, x, y, and z are such that x is 35 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
What is the average (arithmetic mean) of the numbers 21, 22, 23, 23, 24, and 25?
A train covers a distance of 12 km in 10 min. If it takes 2 sec to pass a telegraph post, then the length of the train is?
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
A family has two children. find the probability that both the children are girls given that at least one of them is a girl?
Three friends (Sarah, Jane and Gina) are employees of a company. Their respective salaries are in the ratio of 1 : 3 : 7. Jane and Gina's salaries together is Rs. 7000. By what percent is Gina's salary than that of Sarah?
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A cyclist covers a distance of 750m in 2 min 30sec. What is the speed in km/hr of the cyclist?
Naresh’s monthly income is 30% more than that of Raghu. Raghu’s monthly income is 20% less than that of Vishal. If the difference between the monthly incomes of Naresh and Vishal is 800, what is the monthly income of Raghu?
A car moves at 45 km/hr. What is the speed of the car in meters per second ?
1, 9, 17, 33, 49, 73, ?
Robert ate 7 chocolates, Nickel ate 3 chocolates. How many more chocolates did Robert ate than nickel?
The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $21. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Which of the following must be true? 1) Every prime number greater than 5 can be written as either as 8n+1 or 8n-1 2) Every prime number greater than 5 can be written as 4n+1 or 4n-1 3) Every number greater than 5 of the form 8n+1 or 8n-1 is a prime number.
The organizers of a week-long fair have hired exactly seven security guards to patrol the fairgrounds at night for the duration of the event. Exactly three guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different groups of 3 gua...
If a certain sample of data has a mean of 23.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
5+5 = 10 38+20 = 1858 5+3 = 28 9+1 = 810 8+6 = 214 5+4 = 19 7+3 = ?
city A to city B, Andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Calculate the different number of ways 5 boys and 2 girls can sit on a bench?
add 15% of 25 and 12% of 45.
A and B complete a work in 8 days. A alone can do it in 12 days. If both together can do the work in how many days?
Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 30 square meters. What is the area that is covered with three layers of wallpaper?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
(X% of Y) +(Y% of X) is equal to:
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
If cost of 15 eggs be 70 rupees, then find out the cost of 5 dozen eggs.
If the area of circle is 616 sq cm then its circumference?
4 + 4 + 4 + 2 × 4^2 + 2 × 4^3 + 2 × 4^4 + 2 × 4^5 + 2 × 4^6 + 2 × 4^7 =
Jason flips a coin three times. What is the probability B that the coin will land on the same side in all three tosses?
On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out sand-dunes, 1 has treasure and only 1 out of 5 sand dunes formed have lucky coupons. Find the probability that the blown-out sand dune will contain both the things.
A girl purchased “m” number of pens of type “A” at the unit price of “Rs. x” each, “n” number of pens of type “B” at the unit price of “Rs. y” each and “p” number of pens of type “C” at the unit price of “Rs. z” each. Which of the following represents the average price of all the pens taken together?
Two hundred multiples of seven are chosen at random, and 300 multiples of eight are chosen at random. Approximately what percentage of the 500 selected numbers are odd?
A man walked a certain distance south and then the same distance plus 7km due west.He is now 13km from his starting point.What are the distances south and west that he walked?
Molly can do a task in 20 days while Sandy can do the task in 30 days. How many days will it take to complete the task if both work together?
By selling an umbrella for Rs. 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 maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability W that the next couple the maitre 'd seats will not order dessert?
The time on a clock is 20 minutes past 3. What is the angle between the hands of the clock?
A boat ma goes 2km against the current of the stream in 1 hr and goes 1 km along the current in 10 min. how long will it take to go 16 km in stationary water
In a recent election, Ms. Robbins received 8,000 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 40 percent of th...
The ratio of flour to water to sugar in a recipe is 8:4:3. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water, how much sugar is required?
It takes 8 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 8 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 3:00 pm?
If w=1 and (w-b)/c = 1 which of the following is NOT a possible value of b?
Round off the given number to nearest hundreds 8866
A football team lost 5 yards and then gained 11. What is the team's progress?
John throws a coin until a series of six consecutive heads or three consecutive tails appears. What is the probability that the game will end after the seventh throw?
The combined salaries of three brothers is $135,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
Q-1) Of the 84 parents who attended a meeting at a school, 25 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of par...
A school has received 50% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to comple...
A sum of Rs. 2678 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her original ...
If xy not equal 0 and x^2*y^2 -xy = 20, which of the following could be y in terms of x? I. 1/2x II. -5/x III. 4/x
The price of the jewel, passing through three hands, rises on the whole by 74%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.
Write 230,000,000,000 in scientific notation.
A man bought 40 shares of Rs. 60 at 7 discount, the rate of dividend being 1212%The rate of interest obtained is
In a chocolate company, 30 men completed two-fifth of a piece of work in 28 days. How many more men should be employed to finish the rest of the work in 35 more days?
How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?
A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $45. By how many more dollars does he need to increase the price to achieve a 100% markup?
In a group of 80 children and 10 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Yoe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Yoe?
How many 2x2x2 cubes could fit in a box of 7x9x4?
A and B’s salaries together amount to Rs. 4,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is B’s salary?
If population of certain city increases at the rate of 2%. If population in 1981 was 138915, then population in 1978 was?
Which of the following fractions is greater than 8/10 and less than 9/10? 1. 8/10 2. 9/10 3. 1/2 4.8/9 5. 1/3 6. 19/10
For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 7, 8, 8, 7, 9, 9, 6, 6, 8 and 7. By what percent did she fall short of her goal?
What is the length of a bridge (in meters), which a train 140 meters long and travelling at 45 km/h can cross in 30 seconds?
Gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles/hr for the remaining 40 miles of the trip if she made no stops during the trip what was Gwen's avg speed in miles/hr for the entire trip
Mary drove at an average speed of 40 mph for some time and then at an average speed of 60 mph for the rest of the journey. If she made no stops during the trip and her average speed for the entire journey was 50 mph, for what fraction of the total time did she drive at 40 mph?
If Rs. 782 is divided into three parts, proportional to 1/2:2/3:3/4 find the first part.
Find the average of first 4 multiples of 5?
How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number.
How many different words beginning with O and ending with E can be formed with the letters of the word ORDINATE, so that the words are beginning with O and ending with E?