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big_math_dataset

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Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 789 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triang...
The price of 5 kilograms of Wheat was $3 in 1995. In 2015, the price had increased to $5. What was the percent increase in the price of the 5 kilograms of Wheat?
Joe invested a certain sum of money in a simple interest bond whose value grew to $400 at the end of 3 years and to $500 at the end of another 5 years. What was the rate of interest in which he invested his sum?
Which of the following numbers is two more than the square of an odd integer?
In an exam, Bright scored 60 percent, Bivi scored 65 percent and Lisa 45 percent. The maximum score awarded in the exam is 900. Find the average mark scored by all the three boys?
What is value of (P + Q)/(P - Q) if P/Q = 7 ?
97 students take part in a test and the median score is 85. Which of the following descriptions must be correct? I. At least 49 students’ score are equal to or more than 87. II At least 49 students’ score are equal to or more than 85. III. At most 49 students’ score are equal to or more than 85.
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.10000?
In a box of 9 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Light glows for every 32 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
If 30! × 30!/30^n is an integer, what is the largest possible value of n?
While working alone at their constant rates, computer X can process 240 files in 8 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process ...
Evaluate : 28% of 400 + 45 % of 250
If r = 2^3 * 5^2 * 7 and s = 2^3 * 3^2 * 5^3, which of the following is equal to the greatest common divisor of r and s?
If the digit in the unit’s place of a two-digit number is halved and the digit in the ten’s place is doubled, the number thus, obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?
Tom read a book containing 480 pages by reading the same number of pages each day. If he would have finished the book 5days extra by reading 10 pages a day less, how many days did Tom spend reading the book?
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 3 attempts?
A can do a piece of work in 40 days; B can do the same in 20 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
A man engaged a servant on the condition that he would pay him Rs.500 and a uniform after one year service. He served only for 9 months and received uniform and Rs.250, find the price of the uniform?
Last year, for every 100 million vehicles that travelled on a certain highway, 100 vehicles were involved in accidents. If 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
P and Q started a business investing Rs. 25,000 and Rs. 20,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Each week, Harry is paid x dollars per hour for the first 30 hours and 2x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 1.5x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James we...
Eesha bought two varities of rice costing 50Rs per kg and 60 Rs per kg and mixed them in some ratio.Then she sold that mixture at 70 Rs per kg making a profit of 20 % What was the ratio of the micxture?
A train 300 m long can cross an electric pole in 30 sec and then find the speed of the train?
Find the quotient when total no. Of divisors of 16! is divided by right most non-zero digit of 15!
The product of the digits of the four-digit number R is 36. No two digits of are identical. How many different numbers are possible values of R ?
A deer takes 3 leaps for every 5 leaps of a fox. If one leap of the deer is equal to 3 leaps of the fox, the ratio of the speed of the deer to that of the fox is :
A fill pipe can fill 1/2 of cistern in 35 minutes. In how many minutes, it can fill 1/2 of the cistern?
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.645 in all. Find the share of B?
Kelly invested Rs. 1850 at 82 to obtain an income of Rs. 172, calculate the dividend from his stock.
If the simple interest on a sum of money for 6 years at 12% per annum is Rs. 700, what is the compound interest on the same sum at the rate and for the same time?
What is the angle between the two hands at 8.20 O'clock?
The fourth proportional to 12, 14 and 12 is?
The speed of a boat in still water is 24 kmph. What is the speed of the stream if the boat can cover 64 km downstream or 32 km upstream in the same time?
What is the 10th term in this sequence? 3,5,8,15,25,40,67,104,171
If -1 < a < 0 < b < 1, which of the following must be less than 0? I. a/b II. b/a III. ab
A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Today is Thursday. The day after 50 days will be?
Two articles were sold at Rs. 480 each. On one, he gains 20% and on the other, he loses 12%. How much does he gain or lose in the whole transaction?
In how many different ways can the letters of the word ‘HOPE’ be arranged ?
Three pipes A, B and C can fill a tank in 7 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 9 hours. How many hours will take C alone to fill the tank?
In how many ways can a group of 15 friends be seated round 2 tables if one of the tables can seat 10 and the other can seat 5 people?
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 2: 00 p.m., at what time will there be 243 million bacteria in the dish?
An urn contains g green marbles and b blue marbles. If 1 green marbles and 5 blue marbles are added, and then one marble is selected at random from the urn, what is the probability that a blue marble will be drawn?
If 60! × 60!/60^n is an integer, what is the largest possible value of n?
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
When 24 is divided by the positive integer c, the remainder is 4. Which of the following statements about c must be true? I. c is even II. c is a multiple of 5 III. c is a factor of 20
A starts at 11:00AM and travels at a speed of 4km/hr. B starts at 1:00PM and travels at 1km/hr for the first 1hr and 2km/hr for the next hr and so on. At what time they will meet each other ?
Replace the ? with an approximate value in the following equation? 95.921 + 35.421 × 5.2 + ? = 705.621
Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 6 muffins remained. How many guests did ...
Which of the following has most number of divisors?
The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
When the positive integer e is divided by 5 and 7, the remainder is 3 and 4, respectively. When the positive integer f is divided by 5 and 7, the remainder is 3 and 4, respectively. Which of the following is a factor of e-f?
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 50%?
Two persons A and B start moving at each other from point P and Q respectively which are 1400 Km apart. Speed of A is 50 Km/hr and that of B is 20 Km/hr. How far is A from Q when he meets B for the 22nd time?
An inspector rejects 10% of the meters as defective. How many will he examine to reject 20?
A man buys a cycle for Rs.1400 and sells it at a loss of 10%. What is the selling price of the cycle?
If 144/x is an integer and 180/x is an integer, which of the following must be true? I. 9/x is an integer. II. 12/x is an integer. III. 36/x is an integer.
Two bottles A and B contain diluted ammonium nitric acid. In bottle A, the amount of water is double the amount of acid while in bottle B, the amount of acid is 3 times that of water. How much mixture Should be taken from each bottle in order to prepare 5 litres of diluted sulphuric acid containing equal amount of acid...
How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 5-percent solution?
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9% p.a. in 5 years. What is the sum?
The value of x + (xx) when x = 3 is:
A cycle is bought for Rs.850 and sold for Rs.1080, find the gain percent?
A reduction of 40% in the price of bananas would enable a man to obtain 66 more for Rs.40, what is reduced price per dozen?
A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number Q of tickets sold by the male members of the association
1370 , 1320 , 1070 , -180 ?
If Susan takes 11 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train.
If t, u, v, w, x, y, and z are seven different prime numbers, which of the following is the smallest possible value of t + u + v + w + x + y + z?
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
Ratio of two numbers x and y is 2:5. If x is increased by 50% and y is increased by 8 then the new ratio becomes 3:10. what is the ratio 3y:(x+6)
A boy runs 200 metres in 72 seconds. What is his speed ?
Operation#is defined as adding a randomly selected two digit multiple of 10 to a randomly selected two digit prime number and reducing the result by half. If operation#is repeated 10 times, what is the probability that it will yield at least two integers?
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 100 metres?
How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/4!?
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is?
Find the odd man out 4,9,16,25,36,42,49
If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is
A hostel had provisions for 250 men for 28 days. If 50 men left the hostel, how long will the food last at the same rate?
In a certain province in Japan there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
The ratio of the volumes of two cubes is 6859 : 1331. What is the ratio of their total surface areas?
Find the area of a parallelogram with base 24 cm and height 16 cm?
How much is 90% of 40 is greater than 4/5 of 25?
(?) + 3699 + 1985 - 2047 = 31111
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
If f(x)=x^2 and x is a positive integer, which of the following will not be the value of f(f(x))?
what is the unit digit in (7^95-3^58)?
You collect balls. Suppose you start out with 0. Neha gives you another 210 balls. How many balls do you have at the end?
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 40% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
What ratio must a shopkeeper mix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.19 ?