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big_math_dataset

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Jack and Jill work at a hospital with 6 other workers. For an internal review, 2 of the 8 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
If six persons sit in a row, then the probability that three particular persons are always together is?
Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four brown stripes, four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
Fom the integer n, if n*n*n is odd, then what is true from below options?
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 85. How many points altogether did the team score?
Roger can read a book in k minutes. What part of the book can he read in 4 minutes? (k>8)
A person goes to a bank and Quotes x Rs and y paise on a cheque. The cashier misreads it and gives y Rs and x paise. The man comes out and donates 5 paise to a begger. Now, the man has exactly double the amount he has quoted on the cheque. .
Two dice are tossed. The probability that the total score is a prime number is?
An art gallery owner is hanging paintings for a new show. Of the nine paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
1=5,2=25,3=253,4=254,5=?
A bag is filled with pennies and nickels in the ratio of 4 to 2. There are 30 nickles in the bag, how many coins are there in that bag?
If 70% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
C invested $600 in a business and D invested $400 in a business. At the end of the year they got $2000 as the profit. Find their share?
With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity T of the pool?
Can you find a six digit number under 5 lakh such that the sum of it's digits is 43 ?
In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 26 and 200, then the least and greatest integers on the card could be
A and B undertake to do a piece of work for Rs. 1200. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of C.
What is the present worth of Rs. 121 due in 2 years at 5% simple interest per annum
If |x-12| = 100, what is the sum of all the possible values of x?
There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 45, then find the smaller number?
A can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?
Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 17 kmph, 18 kmph, 19 kmph, and 20 kmph respectively. What is the ratio of the time taken by B to than taken by D?
A train of length 560 metres takes 90 seconds to cross a tunnel of length 340 metres. What is the speed of the train in km/hr?
In the coordinate plane, points (x, 5) and (9, y) are on line k. If line k passes through the origin and has slope 5/9, then x - y =
A bus can hold 120 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
A typist can type 120 words in 100 seconds. At that rate, how many seconds would it take her to type 258 words?
A bag contains 12 red jellybeans and 12 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
If A lends Rs.3150 to B at 8% per annum and B lends the same sum to C at 12.5% per annum then the gain of B in a period of 2 years is?
In how many ways can the digit of the number 2233558888 be arranged so that the odd digits are placed in the even positions?
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally s% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
At the opening of a trading day at a certain stock exchange, the price per share of stock M was $25. If the price per share of stock M was $28 at the closing of the day, what was the percent increase in the price per share of stock M for that day?
From the integer n, if n*n*n*n is even, then what is true from below options?
What is the sum of the greatest common factor and the lowest common multiple of 16 and 36?
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 4 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
Three numbers are in the ratio 5 : 4 : 3 and their average is 360. The largest number is :
A radio station has to choose 6 days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any 6 of the seven weekdays can be chosen. How many different 6-day combinations of the seven weekdays can be constructed?
The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
A seller sells his apple at CP but uses a weight of 800 gm instead of kg weight. What is his profit %?
Today is Thursday. The day after 59 days will be?
M and B are integers. The expression (M+1)(B+1) is even. What can be said about M and B?
A shirt goes on sale for 80% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
Sakshi can do a piece of work in 12 days. Tanya is 20% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
The LCM and HCF of two numbers are 100000 and 10000 respectively. Find the larger of the two numbers if their sum is 110000.
How many words can be formed by using all letters of the word ‘PENCIL’ ?
if log 2 = 0.30103 and log 3 = 0.4771, find the number of digits in (648)5
In an university college, the ratio of the number of boys and girls is 5 : 9. If the percentage increase in the number of boys and girls be 20% and 40% respectively. What will be the new ratio ?
John was thrice as old as Tom 6 years ago. John will be 3/2 times as old as Tom in 6 years. How old is Tom today?
A sum of money amounts to Rs 9800 after 5 years and Rs 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
The sum of the first 30 positive even integers is 930. What is the sum of the first 30 odd integers?
If a(a + 7) = 60 and b(b + 7) = 60, where a ≠ b, then a + b =
There is a 50% chance Jen will visit Chile this year, while there is a 50% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both?
Find the remainder when the polynomial x4 - 3x2 + 7x - 10 is divided by (x - 2).
Robert invests $120,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Jody invests $120,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Robert's account, approximately how much more does Jody’s account have?
What two-digit number is less than the sum of the square of its digits by 15 and exceeds their doubled product by 5?
The wages of 24 men and 16 women amount to 11600 per day. Half the number of men and 37 women has same money. The daily wages paid to each man is
If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 3x years from now?
1397 x 1397 = ?
If n is an integer from 1 to 96 (inclusive), what is the probability for n*(n+1)*(n+2) being divisible by 8?
36 workers can reap a field in 6 days. If the work is to be completed in 4 days, the extra workers required are
Ten years ago, P was half of Q's age. If the ratio of their present ages is3:4, what will be the total of their present ages?
A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 60 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
Suresh started a business with Rs.20,000. Kiran joined him after 4 months with Rs.30,000. After 2 months, Suresh withdrew Rs.5,000 of his capital and 2 more months later, Kiran brought in Rs.20,000 more. What should be the ratio in which they should share their profits at the end of the year?
N* is defined as 0.5(N+10) for any number N. What is N, if ((N*)*)*=15?
In an election between two candidates, 10% of votes are were declares invalid. First candidate got 1800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
A man drive his car to the office at 20miles/hr. After reaching office, he realize that its a new year holiday so he went back home at a speed of 30miles/hr. Discounting the time spent in the stoppage what was his average speed of his journey ?
Pat is now 22 years older than Dan. If in 6 years Pat will be twice as old as Dan, how old will Pat be in 15 years?
The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 8 times the probability that both events A and B occur. What is the probability that event A occurs?
Calculate the average of first 14 even numbers is?
A and B invests Rs.12000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.30000, find their shares?
If 10^(z-1)< 0.000125 <10^z, what is the value of an integer z?
If x and y are integer, which of the following must also be an integer? I. xy II. y III. y/x
Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop?
Present ages of souju and tharak are in the ratio of 6:4 respectively. Three years hence, the ratio of their ages will become 12:9 respectively. What is tharak's present age in years?
What is the smallest positive integer that can be multiplied by 1,008 to make it a perfect square?
Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 25 grades are D's. What is the number of students in the course?
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is
There are 300 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers.
A car is running at a speed of 90 kmph. What distance will it cover in 15 second?
Two years ago, Claire put $2,000 into a savings account. At the end of the first year, her account had accrued $100 in interest bringing her total balance to $2,100. The next year, her account balance increased by 10%. At the end of the two years, by what percent has Claire's account balance increased from her initial deposit of $2,000 ?
A train ride from Two P to Town Q costs $6.85 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.65. What is the cost of a bus ride from Town P to Town Q?
The sum of two numbers is 120. If the greater number is four times the less, what are the numbers?
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq meters.
Which of the following is a parallelogram?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
What percent is 120 of 90?
It takes Avery 2.5 hours to build a brick wall while Tom can do it in 5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
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. 7 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?
Calculate the distance covered by 420 revolutions of a wheel of radius 23.1 cm.
Sawyer is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be peanut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Sawyer accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be peanut oil?
A bag contains 50black pens and 60 white pens. One ball is drawn at random. What is the probability that the ball drawn is black?
The ratio of the area of a square to that of the square drawn on its diagonal is?
A committee of three people is to be chosen from 3 married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 30 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
If P(x) = ax^4+bx^3+cx^2+dx+e has roots at x = 1, 2, 3, 4 and P(0) = 48, what is P(5)?