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big_math_dataset

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What is the slope of a line perpendicular to 2y = -6x - 10?
A certain sum of money at simple interest amounted Rs.1023 in 12 years at 4% per annum, find the sum?
Raja spends 35% of his monthly income on household items, 20% of his monthly income on buying cloths, 5% of his monthly income on medicines and saves the remaining amount which is Rs. 15000. Find his monthly income.
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Antonio works in a bakery. He made cookies that cost $1.50 and made $255. How many customer did he have?
What approximate value should come in place of the question mark (?) in the following equation?40.75 × 10.77 – 18.75 × 11.15 = (47 + ?) × 4
If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 2 time the part of C .Find the ratio among their parts.
Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 748.
For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 6*/4* ?
A man swims downstream 40 km and upstream 56 km taking 8 hours each time, what is the speed of the man in still water?
35+15x1.5=?
A man buys Rs. 52 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
A 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
What will come in place of the x in the following Number series? 73205, 6655, 605, 55, x
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member
In a board game, a stack of 42 cards, 5 of which have pictures of fruit, are shuffled and then placed face down. If the first 2 cards selected do not have pictures of fruit, what is the probability that the third card selected will have a picture of fruit?
The sum of three consecutive even numbers is 24. Find the middle number of the three?
When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y? I. 15.15 II.18.19 III. 17.16
When the integer k is divided by 7, the remainder is 6. Which of the following expressions below when divided by 7, will have a remainder of 5? I. 4k + 2 II. 6k + 4 III. 8k + 3
A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted). if this plant grew by 50% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow
In how many ways can the letters {U, U, U, R, R,R} be arranged?
Two trains 180 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
What is the sum of natural numbers between 30 and 100
In how many different number of ways 5 boys and 5 girls can sit on a shopa which can accommodate 5 persons?
An bus covers a certain distance at a speed of 260 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
A sum of Rs. 12500 amounts to Rs. 17000 in 4 years at the rate of simple interest. What is the rate of interest?
In how many ways can a team of 11 be chosen out of a batch of 15 players?
An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 20%. How much will an air-conditioning unit cost in November?
If by selling an article for Rs.60, a person loses 1/7 of money, what would he have gained or lost % by selling it for Rs.77?
If two numbers are in the ratio 4:5. If 10 is added to both of the numbers then the ratio becomes 5:6 then find the smallest number?
Fom the integer n, if n*n*n is odd, then what is true from below options?
Baby Isabel plays with blocks. Each block is 2.4 inches tall. She has a collection of 30 blocks. If she could stack all of the blocks up one on top of the other, how many inches tall would her tower of blocks be?
A does a work in 30 days and B does the same work in 10 days. In how many days they together will do the same work ?
A farmer wishes to start a 100 sq. m. rectangular vegetable garden. Since he has only 30 meter barbed wire, he fences three sides of the garden letting his house compound wall act as the fourth side fencing. Then find the dimension of the garden.
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 16 mat-weavers in 16 days?
A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 210, how many coins of each type are there?
Given two fair dice, what is the probability G that the sum of their numbers is 4 if exactly one die shows a 3?
The population of a bacteria colony doubles every day. If it was started 8 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
A cubical tank is filled with water to a level of 3 feet. If the water in the tank occupies 48 cubic feet, to what fraction of its capacity is the tank filled with water?
Goldenrod and No Hope are in a horse race with 6 contestants. How many different Q arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
X and Y started a business investing Rs. 48,000 and Rs. 40,000 respectively. In what ratio the profit earned after 6 years be divided between X and Y respectively?
7 teams compete in a track competition. If there are 18 events in the competition, no event ends in a tie, and no team wins more than 3 events, what is the minimum possible number of teams that won at least one event?
At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 234 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
A no.when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no.67?
Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 10% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Sam...
Statements: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners. Conclusions: 1) 80% of the team consists of spinners. 2) The opening batsmen were spinners.
Sum of two numbers is 10. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
In a Festival season Director informed his 15 staffs with their family to go for a one day tour. Some ladies are married and some are unmarried and some having their Kids. Director & 6 staffs are married with 1 kid each. Total how many members in the Vehicle?
George can do 3/5 of work in 9days.He then calls in pauls and they completed the work in 4days.How long paul would take long to complete the work?
The value of 40 coins of 10 p and 20 p is Rs. 5.50. The number of 20 p coins is
If 20 men can build a wall 66 metres long in 15 days, what length of a similar can be built by 86 men in 8 days?
There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for u dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
A man swims downstream 30 km and upstream 18 km taking 6 hours each time, what is the speed of the man in still water?
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Eight people went to a restaurant for dinner. Seven of them spent $6 each on their meals and the eighth spent $14 more than the average expenditure of all eight people. What was the total amount of money that the eight people spent?
When the sum of two numbers is multiplied by 5, the product is divisible by 15. Which one of the following pairs of numbers satisfies the above condition?
A person borrows Rs. 6000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
If w = 9/25, m = 15/32, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?
Convert 20miles into yards?
If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 3 miles?
A coin is tossed live times. What is the probability that there is at the least one tail?
A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country R. If calls to country R are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the ...
20 litres of mixture of acid and water contain 10% water. How much water should be added so that percentage of water becomes 20% in this mixture?
Due to construction, the speed limit along an 4-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8400. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Q is a set of four distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together?
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.3.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Evaluate: 60 - 9÷3×6 =
On tuesday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up H percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of H?
A,B,C invested the capitals in a business. If A invested Rs. 20,000 more than B and C invested Rs.10,000 more than A, then how should a profit of Rs.14,000 be divided among A,B and C? Given : Capital of B is Rs.10,000
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
Find the unit's digit in 264^102+264^103
Kim has 7 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 14 shoes, what is the probability that she will select 2 shoes of the same color?
When Tom works alone he chops 3 lb. salad in 2 minutes, and when Tammy works alone she chops 2 lb. salad in 3 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tom is what percent greater than the quantifying chopped by Tommy?.
At what price must an article costing Rs.47.50 be marked in order that after deducting 6% from the list price. It may be sold at a profit of 25% on the cost price?
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 8 hours of the journey.
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat in still water and stream is
20 is subtracted from 80% of a number, the result is 60. Find the number?
The ages of 2 persons differ by 18 years. If 12 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.
How many 3-digit numerals begin with a digit that represents a odd prime and end with a digit that represents a prime number?
X is a set containing 8 different positive odd numbers. Y is a set containing 7 different numbers, all of which are members of X. Which of the following statements CANNOT be true?
If x > 1, which of the following decreases as x decreases? I. 1/(x + x^2) II. 2x^2 − x III. 1/(x + 1)
A watch passes through three hands and each person gains 25%. If the third person sells it for $187.50, what did the first person pay for it?
There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
One ton has 2500 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 10. Which of the following is NOT a possible value for y + b?
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 360 m long platform?
At a certain laboratory, chemical substance are identified by an unordered combination of three different colors. If no chemical may be assigned the same three colors as any other, what is the maximum number of substances that can be identified using six colors?
Lane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
Two trains are approaching each other at 60 mph each. The length of each train is 1/6 miles. When the two locomotives(engines) meet, how many seconds will it take for them to pass each other completely?
There are 14 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
How many numbers between 100 and 900 begin or end with 3?
If 4x + y = 12 and −x + y = 44, then what is the value of 3x + 2y?
A box contains ten bulbs out of which 5 are defective. If five bulbs are chosen at random, find the probability that atleast one bulb is good