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big_math_dataset

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For what value of x, is |x – 5| + |x + 5| + |x| = 27?
If a - b = 4 and a2 + b2 = 30, find the value of ab.
If n is an even integer, then which of the following must be an odd integer?
x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median E of x, y, and z? I. 9 II. 10 III. 11
Three years ago the average age of a family of 4 members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
A car was driving at 50 Km/h for 30 minutes, and then at 90 Km/h for another 40 minutes. What was its average speed?
A big cube is formed by rearranging the 160 coloured and 56 non-coloured similar cubes in such a way that the exposure of the coloured cubes to the outside is minimum. The percentage of exposed area to the coloured is :
if 40% of (x-y) = 30% of (x+y) then what percent of x is y?
If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 10 degrees?
In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Solve the equation for x : 6x - 27 + 3x = 4 + 9 - x
The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02/ 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04 is:
A is older than B by 5years. Seven years hence, thrice A's age shall be equal to four times that of B. Find their present ages.
365:90::623:?
Each person in Room A is a student, and 1/6 of the students in Room A are seniors. Each person in Room B is a student, and 5/7 of the students in Room B are seniors. If 1 student is chosen at random from Room A and 1 student is chosen at random from Room B, what is the probability that exactly 1 of the students chosen is a senior?
if 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½ is blue find the total length of the pencil?
Cars P and Q are approaching each other on the same highway. Car P is moving at 47 mph northbound and Car Q is moving at 53 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
Jim’s Taxi Service charges an initial fee of $2.0 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
The graphs of the two linear equations ax + by = c and bx - ay = c, where a, b and c are all not equal to zero,
In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 16 years replaced by a new boy. The age of the new boy is?
Sally bought a dozen items at 120.00 per dozen. What will Sally have to sell each item for to generate a 15% profit?
In an examination a pupil's average marks were 63 per paper. If he had obtained 22 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
log3 N+log15 N what is 3 digit number N that will be whole number
The largest 4 digit number exactly divisible by 88 is?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Find 10th term in the series 1, 3, 5, 7, ...
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
A sum was put at simple interest at a certain rate for 3 years Had it been put at 3% higher rate, it would have fetched 81 more. Find the sum.
A car travels the first 1/3 of certain distance with a speed of 12km/hr the next 1/3 distance with a speed of 20 km/hr, and the last 1/3 distance with a speed of 60 km/hr. the average speed of the car for the whole journey is?
If a sum of money doubles itself in 8 years at simple interest, the ratepercent per annum is
Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
26 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.600 more. What was the Sum?
Positive integer x has p factors; 3x has 3 factors; Which of the following values can p take? I. 1 II. 2 III. 3
Jeff has 252 ounces of peanut butter in 16, 28. and 40 ounce jars. He has an equal number of each sized jar. How many jars of peanut butter does Jeff have?
Bricks are sold in packages of eight or thirteen only. If Timmy, a builder, bought 144 bricks exactly, what could be the number of large packs Timmy bought?
Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Mettur. Mettur, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mettur over the total taxable land of the village is:
Two circular frames are kept one above the other. Frame X has a diameter of 16 cm and Frame Y has a diameter of 12 cm. What fraction of the surface of Frame X is not covered by Frame Y?
The product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two numbers?
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
Find the unit digit in (544)102+(544)103
A customer pays 50 dollars for a coffee maker after a discount of 20 dollars What is the original price of the coffe maker?
For any non-zero a and b that satisfy |ab| = ab and |a| = a |b - 4| + |ab - b| = ?
The value of x + x(xx) when x = 8
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Sally has to pick her son up at 2 p.m. It is now 12:30 p.m. She has to travel 53 miles to get her son from camp. What time should she leave to pick her on up with the closest time to 2 p.m, without being late, given the distance of 53 miles with a constant speed of 50 mph?
If A and B are digits and 5AB is a 3-digit number that is divisible by 10, which of the following is a possible product of A and C?
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 27 less than n. What is y in terms of x ?
A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party Q. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?
2 + 2^2 + 2^3 + ... + 2^8 = ?
A textile manufacturing firm employees 50 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 50 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:
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the even integers between 99 and 151?
A can do a job in 10 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1cm when a man gets on it. The mass of the man is:
if p/q=3/4 then3p+8q=?
A man took loan from a bank at the rate of 10% p.a. simple interest. After 3 years he had to pay Rs. 3000 interest only for the period. The principal amount borrowed by him was:
The ratio between the speeds of two trains is 8: 9. If the second train runs 270 kms in 3 hours, then the speed of the first train is ?
An unbiased cubic die is thrown.What is the probability of getting a multiple of 2 or3?
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 174 votes. Find the total number of valid votes?
Mrs. A. invested $21,000; part at 5%, and part at 8%. The total interest on the investment was $1,470. How much did she invest at each rate?
In a class, 30 students pass in English and 20 students in Math, while some students among these pass in both. How many more students do only English as compared to those doing only Maths?
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
The errand service company gets a discount at the fuel center when they fill up more than 4 cars at a time. The service is $1.10 per vehicle and .30 cents per liter of fuel. On Monday , they will fill 3 vans and 3 cars. The cars are 25 liters each and the vans are 60% bigger. How much will it cost to fill up all vehicles if they are empty?
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
Complete the series 95, 115.5, 138, ..., 189
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.3 more than the next one below it in size. What was the cost, in dollars, of the largest pot?
Evaluate the sum 1-2 +3-4 + 5-6 +... + 997-998 + 999-1000
A train passes a man standing on the platform. If the train is 180 meters long and its speed is 72 kmph, how much time it took in doing so?
Insert the missing number. 8, 7, 11, 12, 14, 17, 17, 22, 20, (....)
A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?
A pair of articles was bought for $1000 at a discount of 10%. What must be the marked price of each of the article?
In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choosethe four varities with two from hotel as must.Find how many ways one can order.
If 2/z = 2/(z + 1) + 2/(z + 25) which of these integers could be the value of z?
A and B together do a work in 20 days.B and C together in 15 days and C and A in 12 days.so A,B and C together finish same work in how many days?
If x is 40 percent greater than 88, then x =
Of the mutual funds on a “select list,” 2/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 100 funds on the list have 3-star ratings, how many funds are on the list?
How many positive integers will divide evenly into 440?
The banker’s discount of a certain sum of money is Rs. 80 and the true discount on the same sum for the same time is Rs. 70. The sum due is
Elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for Internet service. Elvin's total telephone bill for January was $50 and Elvin's total telephone bill for February was 76$. If Elvin's charge for the calls he made in February was twice the charge for the calls he made in January, what is Elvin's fixed monthly charge for Internet service?
The average of 45 students in a class is 18 years. The average age of 21 students is 16. What is the average age of remaining 14 students?
If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x
If 0 < c < 1, what is the median of the values c, c^-1, c^2, c^1/2 and c^3?
A tank is filled by 3 pipes A,B,C in 4 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ?
Two cyclist start on a circular track from a given point but in opposite direction with speeds of 7m/s and 8m/s. If the circumference of the circle is 300meters, after what time will they meet at the starting point?
A company’s eight trucks running 3 hrs a day can carry 1,200 packs of produce. The company invested in 4 new trucks and got rid of 2 of the previous ones. The new trucks can carry 0.5% more produce than the old ones. How many produce in total can be delivered within the next 2 days for 4 hours?
Today is Monday. After 30 days, it will be :
A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 15 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?
There are 20 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
The food in a camp lasts for 25 men for 40 days. If fifteen more men join, how many days will the food last?
In how many different number of ways 4 boys and 2 girls can sit on a bench?
What is the sum of the integers from -60 to 65, inclusive?
The new swimming pool needs to be filled with water. If the swimming pool is 5m^3, and the speed to fill the swimming pool is 2.5 cm^3/sec (1m^3 = 10^6 cm^3), how long does it take to fill the entire swimming pool?
A certain bag contains 60 balls — 22 white, 18 green, 17 yellow, 3 red, and 1 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
John invested a certain sum of money in a simple interest bond whose value grew to $300 at the end of 2 years and to $ 500 at the end of another 3 years. What was the rate of interest in which he invested his sum?
100 men started working to complete a work in 50 days.After working 8hours/day they had completed 1/3rd of the work in 25 days.How many men should be hired so that they will finish the work in time by working 10 hours/day.
What is the total number of integers between 10 and 100 (exclusive)that are divisible by 7?
When a 192 meters long rod is cut down into small pieces of length 3.0 meters each. Then how many pieces are available ?