question
stringlengths
3
1.14k
What is the smallest positive integer K such that the product of 3675 x K is a perfect square?
The sale price of a trolley bag including the sale tax is Rs. 1120. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
The ages of two person , differ by 20 years. If 5 years ag , the elder one be 5 times as old as the younger one their present ages (in years) are respectively
A van takes 5 hours to cover a distance of 495 km. What speed in kph should the van maintain to cover the same distance in 3/2 of the previous time?
SP of a book is Rs. 450 he gets a loss of 10%, find CP of the book?
Complete the sequence: E G K Q ?
What is the smallest of six consecutive odd integers whose average (arithmetic mean) is y + 2?
Right triangle PQR is the base of the prism in the figure above. If PQ=PR=√14 and the height of the prism is 8, what is the volume of the prism?
Two pipes P and Q can fill a cistern in 12 and 16 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
The total of the ages of Amar, Akbar and Anthony is 30 years. What was the total of their ages three years ago ?
At a certain college, 80 percent of the total number of students are freshmen. If 60 percent of the fresh-men are enrolled in the school of liberal arts and, of these, 50 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
The salaries of a,b,c are in the ratio 2:3:5.If the increment of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
S=√[2√63 + 2/(8+3√7)] =
6+2+2^2+2^3+2^4+2^5=?
The sum of the present ages of A, B, C is 45 yrs. Three years ago their ages were in the ratio 1:2:3. What is the present age of A
The ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5808 sq cm. What is the ratio of the width and the area of the rectangle?
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times ...
I bought a car with a peculiar 5 digit numbered licence plate which on reversing could still be read. On reversing value is increased by 78633.Whats the original number if all digits were different?
You cook a pot of beef stew for you and your roommate. Normally it lasts 7 days between the two of you. If 3 guests are now staying with you and your roommate, how many days will the beef stew now last if everyone eats it?
a;b = 8: 10, b:c = 7: 9, a:b:c = ?
The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word GUAVA could be arranged to create a five-letter code?
A sum of money place at compound interest doubles itself in 10 years. In how many years will it amount to eight times itself?
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
The ratio between the number of sheep and the number of horses at the Stewart farm is 6 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.12000. A's share is?
Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 38 percent ryegrass, what percent of the weight of this mixture is X ?
A bag is filled with pennies and nickels in the ratio of 10 to 5. There are 60 nickles in the bag, how many coins are there in that bag?
((469 + 174)2 - (469 - 174)2)/(469 x 174) = ?
A cheetah runs m miles in n hours. How many miles will it run in x hours at the same rate?
A tree of height 36m is on one edge of a road broke at a certain height. It fell in such a way that the top of the tree touches the other edge of the road. If the breadth of the road is 12m, then what is the height at which the tree broke?
What percent of a day is 7 hours?
A two digit number when 18 added becomes another two digit number with reversed digits. How many such two digit numbers are possible?
78 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
For every $30 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 80?
Express of the following as a fraction: 42%
Find out the C.I on Rs.3000 at 4% p.a. compound half-yearly for 1 1/2 years
A container holds 4 quarts of milk and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts milk to 5 parts water by volume?
A committee of 3 has to be formed randomly from a group of 6 people. If Tom and Mary are in this group of 6, what is the probability that Tom will be selected into the committee but Mary will not?
At a certain conference, 22% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 60% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance?
Sometime after 10:00 PM a murder took place. A witness claimed that the clock must have stopped at the time of the shooting. It was later found that the postion of both the hands were the same but their positions had interchanged. Tell the time of the shooting (both actual and claimed).
The least number which must be subtracted from 670 to make it exactly divisible by 9 is:
A is a positive integer. when a is divided by 4 the remainder is 3, and when divided by 9 the remainder is 1. what is the remainder if a is divided by 52?
If x and y are numbers such that (x+8)(y-8)=0, what is the smallest possible value of x^2 + y^2
An article is bought for Rs.690 and sold for Rs.900, find the gain percent?
In a certain game there are 6 steps, referred to as step 1, step 2, and so on with the final step being step 6. The steps are played one after the other. In each step a score of 1, 2,or 3 is obtained. Mary played the game, getting at least one score of each of 1, 2, and 3, and never getting the same score in consecutiv...
A can do a work in 15 days and B in 20 days. If they work on it together then in how many days required to complete the work?
Which of the following is closer to (4!+3!)-(4!-3!)?
If an examination 63% of the candidates in English,65% passed in Mathematics, and 27% failed in both subjects.What is the pass percentage?
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A's 5th birthday is on 12th which is a (say) Monday of a leap year. What willbe the day on their 6th birthday?
A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 9 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the s...
Wayne goes to a fruits vendor to purchase mangoes and oranges. The cost of 4 mangoes is $10, and the cost of 5 oranges is $10. If Wayne buys fruits worth $31, he has purchased at least how many mangoes?
For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 276 books with ...
How many even number in the range between 6 to 100 inclusive are not divisible by 3
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
A man has Rs. 512 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A circular rim 20 inches in diameter rotates the same number of inches per second as a circular rim 5 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Set #1 = {A, B, C, D} Set #2 = {K, L, M, N, O, P} There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?
John have a 630ml mixture of milk and water in the ratio 7:2. How much water must be added to make the ratio 7:3?
What is the lowest positive integer that is divisible by each of the odd integers between 13 and 19, inclusive?
Two vessels having volumes in the ratio 3:5 are filled with water and milk solutions. The ratio of milk and water in the two vessels are 1:2 and 6:4 respectively. If the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
A can finish a work in 24 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 70 and n is not prime, what is the greatest possible value of f(n)?
In an election between two candidates first candidate got 20% of votes polled and second Candidate got 2800 votes. The total number of votes polled was?
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.27000. A's share is?
Mary invested a certain sum of money in a bank that paid simple interest. The amount grew to $260 at the end of 2 years. She waited for another 3 years and got a final amount of $350. What was the principal amount that she invested at the beginning?
Read the following three equations: 5 ~ 4 ~ 3 ~ 9 = 4215 6 ~ 9 ~ 2 ~ 6 = 3816 4 ~ 7 ~ 3 ~ 3 = 1122 Now based on the rule that has been used, solve the following equation: 7 ~ 2 ~ 7 ~ 4 = ____
A Zayn's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 19...
Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,200. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?
If a and b are consecutive integers (b>a), which of the following statements could be false? 1. a^2+b is an even number. 2. ab is even number 3. (a + b) is always an odd number.
In a class, there are 27 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
The S.I. on a certain sum of money for 6 years at 14% per annum is half the C.I. on Rs. 7000 for 2 years at 7% per annum. The sum placed on S.I. is?
A sum of Rs. 2665 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?
What is the difference between the largest number and the least number written with the digits 5, 3, 1, 4?
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
A can contains a mixture of liquids A and B is the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter Q of liquid A was contained by the can initially?
In a school of 850 boys, 40% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
If the area of circle is 440 sq cm then its circumference?
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
If 'A' runs faster than ‘E’ but not as fast as 'D' and 'D' runs faster than 'C' but not as fast as' ‘B’, then the person who runs the fastest is
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
The arithmetic mean of the 3 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s +1?
Solve the quickfire maths brain teaser √36% = ?
Find 4consecutive even integers so that the sum of the 1st two added to twice the sum of the last 2 is equal to 742.
The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
A certain number of workers can do a work in 25 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 8 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last...
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
A and B invests Rs.5000 and Rs.6000 in a business. After 6 months, A withdraws two-fifth of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?