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big_math_dataset

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If the quantity (p + 5) is 5 times the quantity (q + 5), then what is the relationship between p and q?
A man spends 2/5 of his salary on house rent,3/10 of his salary on food and 1/8 of his salary on conveyance.if he has Rs.1400 left with him,find his expenditure on food and conveyance.
At a conference table, 8 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these 8 employees?
A circular mat with diameter 7 inches is placed on a square tabletop, each of whose sides is 8 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
The value of x + x(xx) when x = 5 is:
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?
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 train 500 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
252 ÷ ? × 15 + 270 = 405
In a group of 100 adults, 50 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?
Free notebooks were distributed in a class among all the students. Each student got notebooks which were 1/8th of the number of student. If number of student been half, then each child would have received 16notebooks in total. Find the total number of books distributed among students?
A fair 2 sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not more than 4 times?
A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 1/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.
Worker A takes 5 hours to do a job. Worker B takes 15 hours to do the same job. How long it take both A & B, working together but independently, to do the same job?
An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference Z between the highest and the lowest incentive received by the 5 salesmen in the month?
The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
A manufacturer of a certain type of screw rejects any screw whose length is less than 2.5 — 0.03 centimeters or greater than 2.53 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable?
A letter lock consists of three rings each marked with seven different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?
Lee Colle insures its students for thefts up to $1000. The college makes no profit but sets the premium to cover administrative costs of 10% on average claim of $120. If the annual premium per students is 24$. What is the expected number of thefts per 100 students per year?
There has been successive increases of 25% and then 10% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change?
A vessel of capacity 2 litre has 35% of alcohol and another vessel of capacity 6 litre had 50% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Tough and Tricky questions: Functions. Let a be a positive integer. Let n#a equal n^(2a) if a is odd and n^(a) if a is even. Then (2#3) + (3#2) – (3#3) is equal to
If x and y are positive integers and (5^x)−(5^y)=(2^y−1)∗(5^x−1), what is the value of xy?
Find the invalid no.from the following series 15, 16, 34, 105, 424, 2123, 12756
If the simple interest on a sum of money for 5 years at 18% per annum is Rs. 900, what is the compound interest on the same sum at the rate and for the same time?
If x = -12/5 and y = -6/7, what is the value of the expression -2x – y^2?
What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
If grapes are 92% water and raisins are 20% water, then how many kilograms did a quantity of raisins, which currently weighs 5 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
In a vehicle's repair shed, 3 men and 8 boys can do a piece of work in 15 days; 4 men and 9 boys can do the same work in 12 days. Then, 5 men and 5 boys can do double the amount of this work in :
A bag contains 20 purple jellybeans, 18 green jellybeans, and 12 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
consider a sequence of numbers is such that a1 = 11, a2 =16, and each subsequent an = an-2 + 9. Which of the following numbers is a member of the sequence?
Mr. Yutaro’s class contains 10 boys and 6 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
The cost of an item was reduced from its usual selling price of $23.99 to $19.99. Which of the following is closest to the percent decrease in the price of the item?
In how many different number of ways 1 boy and 4 girls can sit on a bench?
What is the difference between the local values of 6 in the number 56406?
A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
A bucket contains 2 mixtures A and B in the ratio 7:5. If 9 liters of the mixture is replaced by 9 liters of liquid B, then the ratio of the two liquids becomes 7:9. How much of the liquid A was there in the bucket?
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?
The largest number that exactly divides each number of the sequence (15 - 1), (25 - 2), (35 - 3), ...., (n5 - n), ...... is
f two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
There are 34 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is:
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
For which of the following values of s is (60+s)/s an integer?
To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3/5 of its present?
The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:
The ratio of the volumes of two cubes is 27 : 64. What is the ratio of their total surface areas?
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
What is 82% of 3/4?
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
A bag contains 5 red, 4 blue and 3 green balls. If 2 ballsare picked at random, what is the probability that both are red?
City X has a population 6 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?
The average of first 10 prime numbers is?
If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true? I. c is even II. ab is even III. ab > 0
What is 15 percent of 54?
What is the remainder when 103 * 505 * 607 is divided by 9
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/4 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
A company selects an employee at his 25th age and offers salary as Rs.40000 per annum for first 2 years. Afterwards, every year he gets increment of Rs.4000 for next 15 years and his salary become constant till his retirement. If Rs.80,000 is his average salary (throughout his career) then at what age he retires?
In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?
A pipe can empty 2/3rd of a cistern in 12 mins. In 8 mins, what part of the cistern will be empty?
Nr Books bought Nr of People 1 5 3 2 4 7 6 3 What is the median of books bought per person?
The averageincome of M and N is Rs. 5050. The average monthly income of N and O is Rs. 6250 and the average monthly income of M and Ois Rs. 5200. The income of M is?
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Find the average of all the numbers between 17 and 32 which are divisible by 3.
In a barrel of juice there is 40 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
The average weight of 8 person's increases by 6 kg when a new person comes in place of one of them weighing 40 kg. What might be the weight of the new person?
In a company the manager wants to give some gifts to all of the workers. In each block there are about 100 workers are there. The total amount for giving the gifts for all the workers is $4000. The worth of the gift is $4. How many blocks are there in the company?
Mary can do a piece of work in 28 days. Rosy is 40% more efficient than Mary. The number of days taken by Rosy to do the same piece of work is?
A certain restaurant offers 6 different salads, 4 different main courses, and 7 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible?
In how many ways can Nicole distribute 20 chocolates among Ben, Kate, Mark and Tom so that each receives at least one?
8k8 + k88 -------- 1,6r6 If k and r represent non-zero digits within the integers above, what is r?
A and B started a partnership business investing some amount in the ratio of 2 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
It was raining and a water drop accumulated itself over a leaf. It fell down to another leaf and lost 1/4th of its volume. It then fell off to another leaf losing 1/5th of its volume. After that it fell to another leaf losing 1/6th of its volume. This was process was repeated again and again till the water drop reached the last leaf and lost 1/75th of its volume. Seeking the facts given in the question, will you be able to determine the accurate percentage of loss in the volume of the water drop when it is on the last leaf from its initial volume?
Myra drove at an average speed of 30 miles per hour for some time and then at an average speed of 60 miles/hr for the rest of the journey. If she made no stops during the trip and her average speed for the entire journey was 50 miles per hour, for what fraction of the total time did she drive at 30 miles/hour?
If x is negative and y is positive, which of the following cannot be positive?
A quiz has one mcq question with a,b and c as options. and two questions with true/false answers. what is the probability of giving all 3 answers correct?
If -6 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?
Convert 0.34 in to a vulgar fraction ?
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
There are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability E that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
When positive integer N is divided by positive integer J, the remainder is 18. If N/J = 204.03, what is value of J?
A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 8 hours. How many hours in total will it take the crow to finish a quarter of the nuts?
A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of 1/8 . How many integer values are within three standard deviations of the mean?
Tough and Tricky questions: Distance/Rate. On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 300 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?
What is the value of 26^2 + 27^2 + 28^2 + 29^2 + 30^2 + 31^2 + 32^2 + 33^2+ 34^2?
In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 5.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
Abhinav and Bhupathi together have Rs. 1210. If 4/15 of Abhinav's amount is equal to 2/5 of Bhupathi's amount, how much amount does Bhupathi have?
Reduce 368575 to the lowest terms
On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Given the two equations 5r - 5s = 15 and 2r - 2s = 6, by how much does r exceed s?
The unit digit in the product 1258*6754*4512*9783 is?
A bowl contains pecans, cashews, and almonds in a ratio of 11 : 20 : 30, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10
John distributes his pencil among his 4friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 : 1/4 : 1/5 . What is the minimum no. of pencils that the person should have?
For any number z, z* is defined as the greatest positive even integer less than or equal to z. What is the value of 5.2 – 5.2*?
John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $40. What is the percent decrease?