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big_math_dataset

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After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?
Suppose you flip a fair coin 8 times. What is the probability that, in 8 flips, you get at least one head?
If athul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream
The breath of a rectangular landscape is 6 times its length. There is a playground in it whose area is 4200 square mtr & which is 1/7 th of the total landscape. What is the breath of the landscape?
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 12 years at the same rate?
A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take ...
What is the greatest positive integer n such that 3^n is a factor of 36^300?
If x and y are different prime numbers, each greater than 6, which of the following must be true? I. x+y is an even integer II. xy is an odd integer III. (x/y) is not an integer
A sum of Rs. 2795 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.0 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
7.51 8.22 7.86 8.36 8.09 7.83 8.30 8.01 7.73 8.25 7.96 8.53 A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If th...
If x/y = 5/z, then 25z^2 =
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.
If 50! × 50!/50^n is an integer, what is the largest possible value of n?
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3:7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
A car averages 75 mph for the first 4 hours of a trip and averages 60 mph for each additional hour. The average speed for the entire trip was 70 mph. How many hours long is the trip?
Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
In covering a distance of 42 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
On a map, 1 inch represents 28 miles. How many C inches would be necessary to represent a distance of 383.6 miles?
Each side of a certain parallelogram has length 8. If the area of the parallelogram is 16. Which of the following is the measure of one of its angles?
Half a number plus 5 is 11.What is the number?
How many seconds will a 900 meter 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?
If 15 students in a class average 70% on an exam and 10 students average 95% on the same exam, what is the average in percent for all 25 students?
The ages of 2 persons differ by 32 years. If 12 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.
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 woman is 20 years older than her son. In 5 years, her age will be twice the age of her son. The present age of her son is
A rectangular with dimensions 40 inches by 65 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
If x and y are positive numbers and z = xy^2, a 50 percent increase in x and a 30 percent decrease in y would result in which of the following changes in z?
The greatest ratio out of 2:3, 5:8, 3:2, 8:9 and 8:3 is?
You keep tossing a fair coin for twenty times. Each time, the coin lands up with tails up. What is the probability that if you toss it now, the coin will land with heads up this time?
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
The diagonals of a rhombus are 15 cm and 17 cm. Find its area?
Two pipes P and Q can fill a tank in 10 hours and 14 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
If you add all the numbers on your mobile phone except 8 and 2, what is the answer?
Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If A is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 700. Set D and Set E have how many numbers in common?
There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?
There are 27 different three-digit integers that can be formed using only the digits 4, 5 and 6. If all 27 of the integers were listed, what would their sum be?
A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much Ɵme shall B take to do it
If d is the standard deviation a, b, and c, what is the standard deviation of a +6, b + 6, c + 6 ?
The distance between 2 cities A and B is 100km. A train starts from A at 8 a.m. and travels towards B at 50 km/hr. Another starts from B at 9 a.m. and travels towards A at 60 km/hr. At what time do they meet?
A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another survey of 120 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
In how many ways the letters in the word MANAGEMENT can be arranged such that A’s does not come together.
The average of five numbers id 27. If one number is excluded, the average becomes 24. What is the excluded number?
Raviraj invested an amount of 100000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
The remainder of the division of a number by 66 is 27. What will be the remainder when that number is divided by 7? Please explain
From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Mohan purchased 15 kgs of rice at the rate of Rs.25 per kg and 8 kgs of pulses at the rate of Rs.25 per kg. Whaat is the total amount that he paid to the shopkeeper?
Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?
2,7,14,32,58,?
If 30 honey bees make 30 grams of honey in 30 days, then 1 honey bee will make 1 gram of honey in how many days?
A = {2, 3, 4, 5} B = {4, 5, 6, 7, 8} Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability Q that the sum of the two integers will equal 9 ?
In a group of 65 people,40 like cricket,10 like both cricket and tennis. How many like tennis?
16 men and 12 children can complete work in 26 days 13 men can complete the same work in 48 days in how many days’ will12 men and 6 children complete half of the work?
A man can row with a speed of 19 kmph in still water. If the stream flows at 8 kmph, then the speed in downstream is?
A 60 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
The number of arrangements that can be made with the letters of the word MEAD so that the vowels occupy the even places?
The interest on Rs.750 for 2yrs is the same as the True Discount on Rs.960 due 2yrs hence . If the rate of interest is same in both cases,it is:
What is the SI on Rs.8000 from August 6th to Dec 30th at 5% per annum rate of interest?
Replace the ? by the correct Mathematics symbol to make the expression true 10 ? 10 ? 4 ? 7 = 18
Tanks M and B are each in the shape of a right circular cylinder. The interior of tank M has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank M is what percent of the capacity of tank B?
Lloyd normally works 7.5 hours per day and earns $3.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?
To create paint with a certain shade of gray, one must combine 1.5 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray?
Find the simple interest on Rs.300 for 9 months at 6 paisa per month?
In one can of mixed nuts, 25% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?
The median annual household income in a certain community of 21 households is $50,000. If the mean R income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?
Find the length of the wire required to go 15 times round a square field containing 69696 m2.
In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.04 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Number of prime numbers between 40 and 70 is
The average (arithmetic mean) monthly income of four workers is $5,000. After one worker’s income increases by 25 percent the new average income is $5,200. What was the original income of the worker whose monthly income increased?
The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
The cost price of 20 books is the same as the selling price of ’X’ books. If the profit is 28%, then the value of X is ?
During a trip, Francine traveled x percent of the total distance at an average speed of 30 miles per hour and the rest of the distance at an average speed of 70 miles per hour. In terms of x, what was Francine’s average speed for the entire trip?
A pipe can fill a cistern in 66 minutes. Find the time in which 1/11 part of the cistern will be filled?
Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
A woman saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction
Two pipes can fill a tank in 10 minutes and 25 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Working together, 7 identical pumps can empty a pool in 5 hours. How many hours will it take 4 pumps to empty the same pool?
In a certain conservative mutual fund, 70 percent of the money is invested in bonds, and of that portion, 40 percent is invested in highly rated corporate bonds. If at least $1.4 million in this fund is invested in highly rated corporate bonds, what is the smallest possible total value for the mutual fund?
Workers at a campaign office have 2500 fliers to send out. If they send out 1/5 of them in the morning and 1/4 of the remaining ones out during the afternoon, how many are left for the next day?
If j < y < -1, which of the following is true?
12, 34, 10, 11, 12, 5, 6 ,7, 13, 14, ?, ? Logically, what two numbers should replace the question marks?
If the original mass of an element, in grams, is a whole number and the element has decayed by exactly 91 percent in some time period, which of the following could be the final mass of that element?
An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discount offered on it, find its SP?
It would take one machine 6 hours to complete a large production order and another machine 5 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
The number of new words that can be formed by rearranging the letters of the word 'TOO' is?
How many multiples of 2 are there between 10 and 52, 10 and 52 inclusive?
Find the missing number in the given sequence : 2,4,6,8,10,?,14,?
The sum of how many terms of the series 6 + 12 + 18 + 24 + … is 1800
A train 800 m long can cross an electric pole in 20 sec and then find the speed of the train?
A train 110 m long is running with a speed of 65 km/hr. In what time will it pass a man who is running at 7 km/hr in the direction opposite to that in which the train is going?
The price of a Bicycle was increased by 50 percent. The new price was then increased by 30 percent. A single increase of what percent is equivalent to these two successive increases?
How long does a train 110 m long running at a speed of 72 kmph take to cross a bridge 132 m in length?
On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 420 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
A man is 22 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
If U = V/W, -1 < W < 0 and 4 < V, which of the following is correct?
A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?