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big_math_dataset

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If x is a positive, single-digit integer such that 4/3*x, 2x, x, and x + 2, and 3x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list?
In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 95π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
If a < b < c , which of the following must be true? (I) a^2 < b^2 (II) b − a < c (III) a^2 < b^2 < c^2
A bag contains 23 purple jellybeans, 12 green jellybeans, and 15 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?
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
A lady grows Cauliflower in her garden that is in the shape of a square. Each Cauliflower takes 1 square foot of area in her garden. This year, she has increased her output by 223 Cauliflower when compared to last year. The shape of the area used for growing the Cauliflower has remained a square in both these years. Ho...
If f and g are distinct prime numbers less than 10, which of the following cannot be the product of f and g?
Each cell of a certain kind of bacteria produces two more cells. The life span of each cell is 10 minutes and each cell multiples only once in its life time, when it is exactly one minute old. If a new cell is placed in an empty box at time t = 0, then how many live cells will be there in the box just after t = 20 minu...
Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 6 km each. Then they turned left and ran for another 4.5 km. What is the distance (in kilometers) between the the two twins when they stop?
In a certain alphabet, 13 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
24 is divided into two parts such that 7 times the first part added to 5 times the second part gives 146. The first part is
If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 6-letter code words to the number of 4-letter code words?
An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
Jaime earned enough money by selling seashells at 22 cents each to buy several used paperback books at 55 cents each. If he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold ?
Which number is the odd one out ? 9654 4832 5945 7642 7963 8216 3646
Mr. Karan borrowed a certain amount at 6% per annum simple interest for 9 years. After 9 years, he returned Rs. 8410/-. Find out the amount that he borrowed.
If 15648 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box? Options: 8
The simple interest at x% for x years will be Rs. x on a sum of:
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+2 and 7*+7, inclusive ?
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 54?
If the time is currently 1:30 pm, what time will it be in exactly 646 hours?
A train 250 m long passed a pole in 25 sec. How long will it take to pass a platform 650 m long?
A barrel full of beer has 2 taps one midway,,which draw a litre in 6 minutes and the other at the bottom,which draws a litre in 4 minutes. The lower tap is lower normally used after the level of beer in the barrel is lower than midway.The capacity of the barrel is 36 litres. A new assistant opens the lower tap when the...
One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 16 cm2. Find the lengths of all sides.
Jim drove 768 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
The value of 2*x+x/4+ x(xx) when x = 4 is:
In the sequence S, each term after the first is twice the previous term. If the first term of sequence S is 3, what is the sum of the 14th, 15th, 16th, 17th and 18th terms in sequence S?
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
The radius of a cylindrical vessel is 9cm and height is 3cm. Find the whole surface of the cylinder?
The ratio of red boxes to blue boxes in a certain warehouse is 5 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts R needed to confirm that each of the 5 keys matches each of the 5 locks?
A train 100 m in length crosses a telegraph post in 12 seconds. The speed of the train is?
a,b and c are positive integers less than or equal to 9. If a,b and c are assembled into the six-digit number abcabc, which of the following must be a factor of abcabc?
If p and q are positive integers each greater than 1, and 17(p+1)=20(q+1), what is the least possible value of p+q?
JOHN and ANDREW can finish John work 30 days if they work together. They worked together for 20 days and then ANDREW left. JOHN finished the remaining work in another 20 days. In how many days JOHN alone can finish the work?
Stacy has a 81 page history paper due in 3 days. How many pages per day would she have to write to finish on time?
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.
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.1 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
How many 4-digit positive integers are there, where each digit is positive, and no 3 adjacent digits are same?
The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.3. The probability of Matt playing any match is 0.7. If it is known that the team has won the last match, what is the probability that Matt played the m...
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
The product X of two prime numbers is between 15 and 70. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then X =
Murali travelled from city A to city B at a speed of 70 kmph and from city B to city C at 30 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 40 years, was replaced by a new person. Find the age of the new person?
A jet plane is rising vertically with a velocity of 10 m/s. It has reached a certain height when the pilot drops a coin, which takes 4 sec to hit the ground. Assuming that there is no resistance to the motion of the coin, the height of the place and the velocity of the coin on impact with the ground are:
A man visits a shopping mall almost every day and he walks up an up-going escalator that connects the ground and the first floor. If he walks up the escalator step by step it takes him 16 steps to reach the first floor. One day he doubles his stride length (walks up climbing two steps at a time) and it takes him 12 ste...
The product of two numbers is 168 and the sum of these two numbers is 26. What is the largest of these two numbers?
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
The value of X+3X(5X)(X)when X =2 is:
Who is second to the right of H?
The banker's discount on Rs.1800 at 8% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
If p+5/q is a prime integer, which of the following must be true? 1.q=5p 2.q is a prime integer 3. p+5/q is ODD.
A train speeds past a pole in 15 sec and a platform 120 m long in 25 sec, its length is?
The mean of 50 observations was 41. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
A letter lock consists of three rings each marked with five different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
A student gets 70% in one subject, 80% in the other. To get an overall of 75% how much should get in third subject.
A clothing store sells t-shirts arranged on display such that each of the five different colors of t-shirts, orange, green, red, blue, and purple are consecutive in a repeating pattern. If six consecutively displayed t-shirts are purchased, what is the probability that two of the t-shirts are purple?
The price of a certain car this year is $18,000, which is 25 percent greater than the cost of the car last year. What was the price of the car last year?
Mary decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Mary's savings by the end of the year from these monthly savings were SIX times the amount she spent per month, what should be the fraction of her salary that she spent each month?
A can do a work in 16 days and B can do it in 8 days. In how many days A and B can do the work?
Nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine.What was the total money spent by them?
Reeya obtained 55, 67, 76, 82 and 55 out of 100 in different subjects, What will be the average
A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
Cara took out a charge account at the General Store and agreed to pay 5% simple annual interest. If she charges $54 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
A Martian bat flies at 60 yards per second from its nest to a dry lake. When it arrives there, it immediately continues at 45 yards per second to a nearby cave. If the distance between the lake and the cave is half the distance between the nest and the lake, what is the average speed, in yards per second, of the bat du...
12.1212 + 17.0005 – 9.1102 = ?
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
In What proportion must flour at $0.8 per pound be mixed with flour at $0.9 per pound so that the mixture costs $0.845 per pound?
In a particular state, 60% of the counties received some rain on Monday, and 65% of the counties received some rain on Tuesday. No rain fell either day in 25% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
The sum of 9 hours 25 minutes and 4 hours 35 minutes is approximately what percent of a day?
8, 24, 12, 36, 18, 54, (....)
A train 108 m long is moving at a speed of 50 km/hr . It crosses a train 112 m long coming from opposite direction in 6 seconds. What is the speed of the second train?
The marching band is made up of 140 musicians. The band wants to form a rectangular formation with A people in a row and B people in a column. If the number of people in a row is more than 4 and less than 35, how many different combinations of rectangular shapes are possible?
The average of 20, 40 and 150 is twice the average of 10, 30, and which of the following ?
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
A fellow borrowed a certain sum of money at 4% per annum at simple interest and in 4 years the interest amounted to Rs.1260 less than the sum lent. What was the sum lent?
On the first day of her vacation, Louisa traveled 250 miles. On the second day, traveling at the same average speed, she traveled 350 miles. If the 250-mile trip took 3 hours less than the 350-mile trip, what was the average speed, in miles per hour?
A certain bakery baked a batch of 470 cookies one day. Of those, 320 contained nuts, 230 contained chocolate chips, and 85 contained neither nuts nor chocolate chips. What is the fewest possible number of cookies with both chocolate chips and nuts that would need to be added to that batch so that cookies with both nuts...
An amount of money is to be divided between M, N and O in the ratio of 3:7:12. If the difference between the shares of M and N is Rs.2000, what will be the difference between N and O's share?
The ratio of three numbers is 3:4:5 and the sum of their squares is 1250. The sum of the numbers is:
The width of a rectangular hall is ½ of its length. If the area of the hall is 450 sq.m, what is the difference between its length and breadth?
What percent of the different arrangements of the letters of the word AGAHUS are those in which the vowels appear together?
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 46.5 meters. How many times did the ball bounce?
A club wants to mix 15 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?
A batsman of a cricket has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is:
A man goes to shopkeeper and says that if u give me as much as i have ,i will spend Rs.10/- on ur shop. shopkeeper agrees and man moves to another shopkeeper ans asked same. at 3rd shop after all the transaction, he was left with no money. find the initial amount with the man
If a person walks at 15 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
The present age of a father is 3 years more than three times the age of his son. Five years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
What percent of the month of April is 20 days?
If P represents the product of the first 14 positive integers, then P is NOT a multiple of
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.60 only. Men’s wages are?
Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
On simplification, 3500 – (1000 ÷ 20.50) is equal to :
An alloy weighing 16 ounces is 50% gold. How many ounces of pure gold must be added to create an alloy that is 80% gold?
Ben and King are partners in a business. Ben is a working partner and King is a sleeping partner in the business. Ben invested Rs.3500 and King invested Rs.7000. Ben receives 7% of the profit for managing the business the rest is divided in proportion of their capitals. Out of a total profit of Rs.9600, how much did Be...
Which of the following is the lowest positive integer that is divisible by the first 7 positive integer multiples of 3?