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big_math_dataset

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Lines y=4√5·x−2 and y=3√5·x−1 intersect at what height above the x axis?
12 men take 18 days to complete a job whereas 12 women in 18 days can complete 1⁄4 of the same job. How many days will 10 men and 8 women together take to complete the same job?
find value for x from below equation? x + 1 = -3
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is
Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
The difference between the compound interest and simple interest on a certain sum of money at 5% per annum for 2 years is 45. Then the original sum is?
Reena took a loan of Rs. 2000 with simple interest for as many years as the rate of interest. If she paid Rs. 720 as interest at the end of the loan period, what was the rate of interest?
How many seconds will a 900 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
In three annual examinations, of which the aggregate marks of each was 500, a student secured average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 70% average total marks, it is necessary for him in third yearly examination to secure marks :
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ?
A fruit seller had some Mangoes. He sells 50% oranges and still has 500 Mangoes. How many Mangoes he had originally?
n is a positive integer and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1600, then what is the smallest possible value of n?
Analyze the number square carefully and find out what number fits in place of question mark. 35 20 14 27 12 18 5 2 ?
A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 50% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
From a bunch of eight keys, three particular keys have to be used to open a combination lock, such that the second key can be used only after the first key and the third key can be used only after the second key. What are the chances of opening the lock in a random selection of three keys?
A warehouse had a square floor with area 10,000 sq.meters. A rectangular addition was built along one entire side of the warehouse that increased the floor by one-half as much as the original floor. How many meters did the addition extend beyond the original buildings ?
A 425 meter long train crosses a platform in 55 seconds while it crosses a signal pole in 40 seconds. What is the length of the platform?
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 85 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1008?
A textile manufacturing firm employees 56 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 56 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is:
Which of the following is closer to (3!+2!)-(3!-2!)?
A is twice as good a work man as B and together they finish a piece of work in 14 days.The number of days taken by A alone to finish the work is :
A certain machine produces 550 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 5 days?
If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+13 is divided by 41?
If the simple interest on a sum of money for 2 years at 5% per annum is Rs.50, what is the compound interest on the same at the same rate and for the same time?
If x^2 – 2y^2 = 2xy, then (x + y)^2 =
Stalin gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Jose gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
A contractor hires 100 men to finish a job in 50 days. After 40 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
Each Machine of type A has 2 steel parts and 3 chrome parts. Each machine of type B has 3 steel parts and 5 chrome parts. If a certain group of type A and type B machines has a total of 40 steel parts and 32 chrome parts, how many machines are in the group
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
A man buys s cycle for $100 and sells it at a loss of 40%. What is the selling price of the cycle?
The variables m and n are positive integers. When m is divided by 18, there is a remainder of 12, and when n is divided by 24, there is a remainder of 14. Which of the following are possible values of m + n? I. 50 II. 68 III. 90
A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $151 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?
In a graduating class of 234 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
John drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. What was his average speed for the whole journey?
If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?
In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 21 years replaced by a new boy. The age of the new boy is?
If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?
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?
Reduce 803876 to the lowest terms
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
If (18^a) * 9^(3a – 1)= (2^5)(3^b) and a and b are positive integers, what is the value of a?
A dishonest dealer professes to sell his goods at Cost Price but still gets 35% profit by using a false weight. What weight does he substitute for a kilogram?
If the probability of rain on any given day in Chicago during the summer is 20%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7 inclusive?
Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?
P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 32 meter/sec.
Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
x =1 2 3 y= 4 5 18 then what is the relation between x and y
The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
a, b, c, d, and e are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20%. Which one of the following numbers E was deleted?
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 ?
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream,it takes 4 hours.What is the speed of the boat in still water ?
During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
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 4 seconds. What is the length of the fast train ?
A pool can be filled in 4 hours and drained in 5 hours. The valve that fills the pool was opened at 1:00 pm and some time later the drain that empties the pool was also opened. If the pool was filled by 9:00 pm and not earlier, when was the drain opened?
A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after 1year service. He served onlyfor 9 months and received uniform & Rs.650, find the price of the uniform?
9 friends bought a franchise for 500,000 dollars. If they all have to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
What number should replace the question mark? 100, 93, 79, 53, ?.
There are 14 balls in a jar: 8 red, 3 blue and 3 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
Jill, who lives in City C, plans to visit 7 different cities, M, L, P, I, Y, B and S. She plans to visit each city exactly once and return to City C after the 7 visits. She can visit the cities in any order. In how many different orders can she visit the 7 cities?
12 : 21 :: 31 :?
A man divides $8600 Among 5 Sons, 4 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
There are three boats B1, B2 and B3 working together they carry 60 people in each trip. One day an early morning B1 carried 50 people in few trips alone. When it stopped carrying the passengers B2 and B3 started carrying the people together. It took a total of 10 trips to carry 300 people by B1, B2 and B3. It is known that each day on an average 300 people cross the river using only one of the 3 boats B1, B2 and B3. How many trips it would take to B1, to carry 150 passengers alone?
If x and y are integers and xy = 660, x or y must be divisible by which of the following numbers?
Lovely shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?
How many solutions does the equation sin(x) sin(2x) sin(3x) · · · sin(11x) sin(12x) = 0 have in the interval (0,π] ?
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?
A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when nm is divided by 12?
The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/2. What is the probability of Michael passing his driving test?
If $0.90 is the commission for sales of $3,000, what percent of the sales amount is the commission?
What annual instalment will discharge a debt of Rs 1092 due in 3 years at 12% simple interest?
A company has 15 managers and 75 associates. The 15 managers have an average salary of $210,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
If 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
What will be the compound interest on Rs. 45000 after 3 years at the rate of 12 % per annum
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.6 million vehicles in 2006, how many vehicles, to the nearest 1,000, did the manufacturer sell in 2007?
If xy = 5 and x^2 + y^2 = 14, then x/y + y/x =
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is?
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
S1 = 3 S2 = 6 ... Sn = 3n + 4 For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50?
The smallest 3 digit prime number is?
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is?
Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four? The number of that part is the answer
The average of 17 numbers is 10.9. If the average of first nine numbers is 10.5 and that of the last nine numbers is 11.4, the middle number is
Envelopes can be purchased for $1.50 per pack of 100, $1.00 per pack of 50, or $0.03 each. What is the greatest number of envelopes that can be purchased for $7.60?
If 3a + 1 < 2a < 9 - a, which of the following must be true? I. -1 < a < 3 II. a < -1 III. a < 3
In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (4,3) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
A firm has 5 senior partners and 4 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
A car is running at a speed of 110kmph. What distance will it cover in 9sec?
If 34 men do a work in 40 days, in how many days will 20 men do it?
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?
Vijay went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?