Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
How many different ways are possible to arrange the letters of the word “MACHINE” so that the vowels may occupy only the odd positions?
The distance between a book store and a coffee shop is approximately 5.3 x 10^4 inches. Which of the following is closest to the distance between the book store and a coffee shop, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
John's Ice Cream Shop sells ice cream at m cents a scoop. For an additional n cents, a customer can add 5 toppings to his or her sundae. How much would a sundae with 5 scoops and 5 toppings cost, in terms of m and n?
A watch was sold at a loss of 10%. If the watch was sold for $32 more, there would have been a gain of 6%. What is the cost price?
An error 17% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square?
A rectangular-shaped carpet that measures x feet by y feet is priced at $27. What is the cost of the carpet, in dollars per square yard? (1 square yard = 6 square feet)
The fourth proportional to 12, 14 and 6 is?
In the City ,there are 40% of the population lived in the North side at the Beginning of the Year and the rest lived in the South side. During the Same Year, the population grew by 6%. If the population in the North grew by 2%, by how much did the population grow in the South side?
In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
Pipe P can drain the liquid from a tank in 4/4 the time that it takes pipe Q to drain it and in 2/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank?
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 10%?
Among the employees of a certain company, 53 percent of the employees are male and 47 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or...
(1/5)^r * (1/4)^18 = 1/(2(10)^35). What is r?
A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
What is the least number which should be added to 5432 so that the sum is exactly divisible by 5, 6, 4, and 3?
A , B , and C started a partnership business by investing $27,000 , $72,000 , and $81,000 respectively. At the end of the year , the profit was distributed among them. If C's share of profit is $27,000, what is the total profit?
What is the square root of 400, divided by 2?
A child buy 18 pencil and pay 100 rs. He pay 1 rs more for white pencil than brown pencil. How many white pencil He buy? and what is price of one white pencil
If 1/(b – 2) = 1/(b + 2) + 1/(b – 1), which of the following is a possible value of b?
A wheel that has 2 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
From below option 27 is divisible by which one?
In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes,...
30 pens and 75 pencils were purchased for 570. If the average price of a pencil was 2.00, find the average price of a pen.
A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6. If the passing marks are 50% of the maximum marks and each subjects has the same maximum marks, in how many subjects did he pass the exam?
The number of people who purchased book A is twice the number of people who purchased book B. The number of people who purchased both books A and B is 500, which is twice the number of people who purchased only book B. What is the number of people V who purchased only book A?
Rs. 6000 is lent out in two parts. IN that One part is lent at 7% p.a simple interest and the second one is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is
If 0.5 : x :: 5 : 8, then x is equal to:
If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 40.5 meters. How many times did the ball bounce?
In a particular state, 70% of the counties received some rain on Monday, and 50% of the counties received some rain on Tuesday. No rain fell either day in 20% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
The price of a car is marked at $10,000. If the car has successive discounts of 25%, 20% and 5%, then at what price does a customer buy the car?
A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
If 10% of x = 20% of y, then x:y is equal to?
What is x if x + 2y = 10 and y = 3?
What is the total number of integers between 2 and 38 that are divisible by 4?
There are 18 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 30 machines produce in 6 minutes?
The side of a square is increased by 5% then how much % does its area increases?
The value of 1/(1-x) + 1/(1+x) + 2/(1+x^2) + 4/(1+x^4)
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
987.650 - ? + 56.98 = 126.654
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
What percent of 5 letter combinations that can be made from the letters of the word SERMONT and in which each letter can be used only once are the combinations in which the first letter is a vowel and the last letter is a consonant?
If x is a positive, single-digit integer such that 4/3*x, 2x, x, and x + 2, and 4x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
1/2+[(2/6*6/32)+1]-9/16=
A baseball card decreased in value 20% in its first year and 30% in its second year. What was the total percent decrease of the card's value over the two years?
If A got 70 marks and B got 80 marks, then what percent of A's mark is B's mark?
x, y and z are consecutive positive integers such that x < y < z; which of the following must be true? 1. xz is even 2. (z-x)(y-x+1) = 4 3. xy is odd
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 22 boys and 38 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
How many ltrs of water must beadded to 16 ltrs of milk and water containing 10% water to make it 20% water in it?
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 10 salespeople on staff, how many different arrangements of winners are possible?
There are 399 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
After decreasing 24% in the price of an article costs Rs.988. Find the actual cost of an article?
8 couples attend a dance show in a TV channel. A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is at least 1 couple will be selected is :
Mohan purchased 15 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
The average age of 15 students of a class is 15 years. Out of these, the average age of 7 students is 14 years and that of the other 7 students is 16 years. The age of the 15th student is
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?
David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their ...
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Susan, John, Daisy, Tim, Matt and Kim need to be seated in 6 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
A team of three entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
For all positive integers n and m, the function A(n) equals the following product: (1 + 1/2 + 1/2^2)(1 + 1/3 + 3^2)(1 + 1/6 + 6^2)…(1 + 1/p_n + 1/p_n^2), where p_n is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest recipro...
The product of the digits of the four-digit number h is 36. No two digits of h are identical. How many different numbers are possible values of h?
The average temperature of a city in the first four days of a month was 36°. The average for the 2nd, 3rd, 4th and 5th day was 38°. If the temperature of the 1st and 5th day were in the ratio 4 : 5, then what is the temperature on the fifth day ?
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.96 at the candy store. What is John’s weekly allowance?
The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
If a is an integer greater than 9 but less than 26 and b is an integer greater than 14 but less than 31, what is the range of a/b?
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
The ratio of the present ages of Giri and Hari is 5:8. 12 years hence, the ratio of their ages will be 11:14. Find the difference in their present ages?
A trader bought a car at 30% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price?
If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 7 m of the same rod?
The radius of a semicircle is 7. What is the approximate perimeter of the semicircle?
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Determine the value of 27/31+54/62
Praveen age after 10years will be 3 times his age 3years back. what is the present age of Chris?
Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8310/-. Find out the amount that he borrowed.
The total age of A and B is 11 years more than the total age of B and C. C is how many years younger than A.?
When 17 is divided by positive integer x, the remainder is 1. For how many values of x is this true?
In an election, candidate A got 80% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
Find the value of (875 233/899) × 899
x, a, z, and b are single digit positive integers. x = ¼ a. z = ¼ b. (10a + b) – (10x + z) could NOT equal
If a wholesaler distributes items to several outlets (A, B, C and D) in the ratio of 1/12 : 1/13 : 1/15 : 1/2, then find the total number of items the wholesaler distributes?
Rs.560 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
The table below shows the enrollment in various classes at a certain college. Class | Number of Students Biology | 65 Physics | 35 Calculus | 40 Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Ph...
Find the odd man out. 3, 5, 15, 75, 1120, 84375
When positive integer n is divided by 3, the remainder is 2. When n is divided by 7, the remainder is 6. How many values less than 100 can n take?
A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one–fifth of the average o fthe two areas. What is the area of the smaller part in hectares?
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 19th board counting from the bottom of the stack. How many boards are in the stack?
A man counted his animals, 80 heads and 270 legs (ducks and goats). how many goats are there?
A tourist purchased a total of $4,500 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks tha...
Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 0: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train...