dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
If x and y are prime numbers, which of the following CAN be the sum of x and y?
Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,10,000 earned at the end of 3 years from the start of the business in 2010?
Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy ?
Ann invested a certain sum of money in a bank that paid simple interest. The amount grew to $240 at the end of 2 years. She waited for another 3 years and got a final amount of $300. What was the principal amount that she invested at the beginning?
Tom drives from town A to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between A and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
If x is 20 percent greater than 98, then x =
Two trains of length 150 m and 250 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 18 kmph and 36 kmph. In how much time will the trains cross each other?
When 35 per cent of a number is added to another number,the second number increases by its 20 per cent. What is the ratio between the second number and the first number?
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
A division of a company consists of seven men and five women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
How many pairs of letters are there in the word 'CASTRAPHONE' which have as many letters between them in the word as in the alphabet?
For arranging a picnic, each student contributed an amount equal to the number of students while the teacher contributed an amount equal to twice the number of students. However, if each student would have contributed an amount equal to twice the number of students and the teacher would have contributed an amount equal to the number of students, they would have generated Rs. 1056 more. Find the number of students in the group?
A room is 5 meters 76 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
A can complete a work in 15 days and B can do the same work in 9days. If A after doing 5days, leaves the work, find in how many days B will do the remaining work?
A Cuban cigar would cost 1 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
(X)+1789+9011-7819=90510. Calculate the value of X
If r is an even integer and q is an odd integer, which of the following must be an odd integer?
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 630 m long?
A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 50$ for the meal.Assuming that they will pay 10% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?
Meg and Bob are among the 5 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
In a cricket team, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 31 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?
which of the following inequalities indicates the set of all values of d for which the lengths W of the three sides of a triangle can be 3,4, and d?
At what rate percent on simple interest will Rs.750 amount to Rs.1050 in 5 years?
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 50 years now, the son's age five years back was:
There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints: 1) Laddu is not eaten on Monday 2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday 3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday 4) Peda is eaten the day following the day of eating Jilabi Based on the above, peda can be eaten on any day except?
A sum of money is to be distributed among A, B, C, D in the proportion of 6 : 3 : 5 : 4. If C gets Rs. 1000 more than D, what is B's share?
Mary jogs 9 km at a speed of 6kmph. at what speed would she need to jog during the next 1.5 hour to have an average of 9 km per hr at the entire jogging session?
The average (arithmetic mean) of y numbers is x. If 15 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?
A sequence of numbers is such that a1 = 11, a2 =16, and each subsequent an = an-2 + 9. Which of the following numbers is a member of the sequence?
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
B @ K I 9 D Â© 5 2 T $ M 4 E J # U R 1 A Î´ K 5 W 6 % F Q 7 H P 8 Z How many such consonants are there in the above arrangement, each of which is immediately preceded by number and immediately followed by a symbol?
A bat is bought for Rs.400 and sold at a gain of 25% find its selling price?
The average age of father and his two sons is 27 Years. Five years ago, the average age of the two sons was 12 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
The sector of a circle has radius of 21 cm and central angle 150o. Find its perimeter?
The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short.
A man bought a horse and a carriage for Rs. 3000. He sold the horse at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse.
A is twice as good a workman as B and they took 10 days together to do the work B alone can do it in.
Amit, Raju and Ram agree to pay their total electricity bill in the proportion 3 : 4 : 5. Amit pays first day's bill of Rs. 50, Raju pays second day's bill of Rs. 55 and Ram pays third day's bill of Rs. 75. How much amount should Amit pay to settle the accounts?
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is
In covering a distance of 90 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Find the total number of prime factors in the expression (4)^11 x (7)^3 x (11)^2
The price of precious stone is directly proportional to square of its weight. what will be the loss incurred if a stone weighing 28gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15:13?
If taxi fares were $1.00 for the first 1/5 mile and $0.30 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
The average expenditure of a labourer for 5 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is
Tom divided $360 among his six children for them to use for Christmas gifts. His daughter Kate added $20 to her portion, then used the money to buy 16 gifts that each cost the same amount. What was the price of each of Kate’s gifts?
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 30 percent of the pack would be outfielder cards?
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 2 months and 7 months respectively. What was the ratio of their investments?
If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are the R odds that x^2+y^2>1?
Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 25 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 30 meters. What distance is she from the starting point and in which direction?
In an examination 35% of the students passed and 546 failed. How many students appeared for the examination?
X divided by Y equals 7.28 what is a possible remainder?
Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 51 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 51 minutes, for how many kilometers total did she hike east?
An epidemic is reported to have broken out in Florida. The number of detected instances of a certain disease is reported to have increased by 85% in the last year. What is the lowest number of newly detected instances possible?
A car going at 10 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4664 km and comes back to the starting point. The total time taken by him is:
If the average marks of three batches of 70, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
You have 10 users plugged into a hub running 10Mbps half-duplex. There is a server connected to the switch running 10Mbps half-duplex as well. How much bandwidth does each host have to the server?
70% of the employees in a multinational corporation have VCD players, 83 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 3 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
9,13,289,4795, 28750, 18947 which number is wrong in series
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
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
6x − 18 = 6y 5y + 5x = 15 Which of the following is the number of solutions to the system of equations shown above?
A and B can do a work in 8 days, B and C can do the same work in 12 days. A,B and C together can finish it in 6 days. A and C together will do it in how many days?
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/10, and the probability of selecting a blue paper clip is 1/2. What is the probability of selecting a silver paper clip?
The sector of a circle has radius of 42 cm and central angle 135o. Find its perimeter?
A jar has 250 marbles. 46 are blue, 56 are red, 75 are green, 25 are yellow, and the remainder, purple. What percent of the marbles are purple?
All of the citizens of a country have a three-character or four-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
Find the simple interest on Rs. 64,000 at 16 2/3% per annum for 9 months.
A man two flats for $675958 each. On one he gains 15% while on the other he loses 15%. How much does he gain or lose in the whole transaction?
The nth term in a certain sequence is defined for positive integer n as 1+(−1)(n(n+1)/2)^2. What is the total of the first 64 terms of this sequence?
For which of the following functions is f(w) = f(−w) for all values of w ?
Given that a is the average (arithmetic mean) of the first eight positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?
Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits C can does Grace have available during her trip?
Line D passes through point (-2,5), and the product of its x-intercept and y-intercept is positive. Which of the following points could be on line D?
Find the average (arithmetic mean) of x and y if the average of x, y, and 5 is 20 more than the average of x, y, 5, and 15.
The number 972156 is completely divisible by 11. What is the smallest whole number in place of ?
A gambler has won 40% of his 30 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 70% of the time, how many more games must he play to end up winning 60% of all his games for the week?
If 8^z is a factor of 256!, which of the following could be the value of z?
The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 62 now, the son age 5 years back was
In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?
There are 5 physics books and 1 chemistry book on shelf P and 4 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?
A man gets a simple interest of Rs.600 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
A rower can row upstream at 20 kph and downstream at 34 kph. What is the speed of the rower in still water?
The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
8+88+888+.....+8888........8888. There are 21 “8” digits in the last term of the series. Find the last three digits of the sum.
A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one copy of Midsummer’s Night Dream. In how many distinct arrangements can these ten books be put in order on a shelf?
Find 12 ×× 19
The average age of a class of 19 students is 20 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
The distance between a sports store and a recreation center is approximately 3.34 x 10^5 inches. Which of the following is closest to the distance between the sports store and a recreation center, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
If 25% of a class averages 80% on a test, 50% of the class averages 65% on the test, and the remainder of the class averages 90% on the test, what is the overall class average?
Two numbers x and y are such that the sum of 3% of x and 4% of y is one-third of the sum of 2% of of x and 8% of y. Find the ratio of x : y.

If x and y are prime numbers, which of the following CAN be the sum of x and y?

Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,10,000 earned at the end of 3 years from the start of the business in 2010?

Eesha bought 18 sharpeners for Rs.100. She paid 1 rupee more for each white sharpener than for each brown sharpener. What is the price of a white sharpener and how many white sharpener did she buy ?

Ann invested a certain sum of money in a bank that paid simple interest. The amount grew to $240 at the end of 2 years. She waited for another 3 years and got a final amount of $300. What was the principal amount that she invested at the beginning?

Tom drives from town A to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between A and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour?

66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?

If x is 20 percent greater than 98, then x =

Two trains of length 150 m and 250 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 18 kmph and 36 kmph. In how much time will the trains cross each other?

When 35 per cent of a number is added to another number,the second number increases by its 20 per cent. What is the ratio between the second number and the first number?

It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

A division of a company consists of seven men and five women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?

How many pairs of letters are there in the word 'CASTRAPHONE' which have as many letters between them in the word as in the alphabet?

For arranging a picnic, each student contributed an amount equal to the number of students while the teacher contributed an amount equal to twice the number of students. However, if each student would have contributed an amount equal to twice the number of students and the teacher would have contributed an amount equal to the number of students, they would have generated Rs. 1056 more. Find the number of students in the group?

A room is 5 meters 76 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.

A can complete a work in 15 days and B can do the same work in 9days. If A after doing 5days, leaves the work, find in how many days B will do the remaining work?

A Cuban cigar would cost 1 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?

(X)+1789+9011-7819=90510. Calculate the value of X

If r is an even integer and q is an odd integer, which of the following must be an odd integer?

A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 630 m long?

A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 50$ for the meal.Assuming that they will pay 10% in sales tax for the meal and leave a 15% tip,what is the most their food can cost?

Meg and Bob are among the 5 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?

In a cricket team, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 31 years, 28 years and 30 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?

which of the following inequalities indicates the set of all values of d for which the lengths W of the three sides of a triangle can be 3,4, and d?

At what rate percent on simple interest will Rs.750 amount to Rs.1050 in 5 years?

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 50 years now, the son's age five years back was:

There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints: 1) Laddu is not eaten on Monday 2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday 3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday 4) Peda is eaten the day following the day of eating Jilabi Based on the above, peda can be eaten on any day except?

A sum of money is to be distributed among A, B, C, D in the proportion of 6 : 3 : 5 : 4. If C gets Rs. 1000 more than D, what is B's share?

Mary jogs 9 km at a speed of 6kmph. at what speed would she need to jog during the next 1.5 hour to have an average of 9 km per hr at the entire jogging session?

The average (arithmetic mean) of y numbers is x. If 15 is added to the set of numbers, then the average will be x - 5. What is the value of y in terms of x ?

A sequence of numbers is such that a1 = 11, a2 =16, and each subsequent an = an-2 + 9. Which of the following numbers is a member of the sequence?

Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?

A train 280 m long, running with a speed of 63 km/hr will pass a tree in?

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?

B @ K I 9 D Â© 5 2 T $ M 4 E J # U R 1 A Î´ K 5 W 6 % F Q 7 H P 8 Z How many such consonants are there in the above arrangement, each of which is immediately preceded by number and immediately followed by a symbol?

A bat is bought for Rs.400 and sold at a gain of 25% find its selling price?

The average age of father and his two sons is 27 Years. Five years ago, the average age of the two sons was 12 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?

The sector of a circle has radius of 21 cm and central angle 150o. Find its perimeter?

The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short.

A man bought a horse and a carriage for Rs. 3000. He sold the horse at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse.

A is twice as good a workman as B and they took 10 days together to do the work B alone can do it in.

Amit, Raju and Ram agree to pay their total electricity bill in the proportion 3 : 4 : 5. Amit pays first day's bill of Rs. 50, Raju pays second day's bill of Rs. 55 and Ram pays third day's bill of Rs. 75. How much amount should Amit pay to settle the accounts?

The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is

In covering a distance of 90 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:

Find the total number of prime factors in the expression (4)^11 x (7)^3 x (11)^2

The price of precious stone is directly proportional to square of its weight. what will be the loss incurred if a stone weighing 28gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15:13?

If taxi fares were $1.00 for the first 1/5 mile and $0.30 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was

The average expenditure of a labourer for 5 months was 85 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income is

Tom divided $360 among his six children for them to use for Christmas gifts. His daughter Kate added $20 to her portion, then used the money to buy 16 gifts that each cost the same amount. What was the price of each of Kate’s gifts?

A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 30 percent of the pack would be outfielder cards?

A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 2 months and 7 months respectively. What was the ratio of their investments?

If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are the R odds that x^2+y^2>1?

Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 25 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 30 meters. What distance is she from the starting point and in which direction?

In an examination 35% of the students passed and 546 failed. How many students appeared for the examination?

X divided by Y equals 7.28 what is a possible remainder?

Annika hikes at a constant rate of 12 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 51 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 51 minutes, for how many kilometers total did she hike east?

An epidemic is reported to have broken out in Florida. The number of detected instances of a certain disease is reported to have increased by 85% in the last year. What is the lowest number of newly detected instances possible?

A car going at 10 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?

Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4664 km and comes back to the starting point. The total time taken by him is:

If the average marks of three batches of 70, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is

You have 10 users plugged into a hub running 10Mbps half-duplex. There is a server connected to the switch running 10Mbps half-duplex as well. How much bandwidth does each host have to the server?

70% of the employees in a multinational corporation have VCD players, 83 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 3 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?

A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?

9,13,289,4795, 28750, 18947 which number is wrong in series

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

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

6x − 18 = 6y 5y + 5x = 15 Which of the following is the number of solutions to the system of equations shown above?

A and B can do a work in 8 days, B and C can do the same work in 12 days. A,B and C together can finish it in 6 days. A and C together will do it in how many days?

Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?

A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/10, and the probability of selecting a blue paper clip is 1/2. What is the probability of selecting a silver paper clip?

The sector of a circle has radius of 42 cm and central angle 135o. Find its perimeter?

A jar has 250 marbles. 46 are blue, 56 are red, 75 are green, 25 are yellow, and the remainder, purple. What percent of the marbles are purple?

All of the citizens of a country have a three-character or four-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?

Find the simple interest on Rs. 64,000 at 16 2/3% per annum for 9 months.

A man two flats for $675958 each. On one he gains 15% while on the other he loses 15%. How much does he gain or lose in the whole transaction?

The nth term in a certain sequence is defined for positive integer n as 1+(−1)(n(n+1)/2)^2. What is the total of the first 64 terms of this sequence?

For which of the following functions is f(w) = f(−w) for all values of w ?

Given that a is the average (arithmetic mean) of the first eight positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?

Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits C can does Grace have available during her trip?

Line D passes through point (-2,5), and the product of its x-intercept and y-intercept is positive. Which of the following points could be on line D?

Find the average (arithmetic mean) of x and y if the average of x, y, and 5 is 20 more than the average of x, y, 5, and 15.

The number 97215*6 is completely divisible by 11. What is the smallest whole number in place of * ?

A gambler has won 40% of his 30 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 70% of the time, how many more games must he play to end up winning 60% of all his games for the week?

If 8^z is a factor of 256!, which of the following could be the value of z?

The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?

A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 62 now, the son age 5 years back was

In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?

There are 5 physics books and 1 chemistry book on shelf P and 4 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?

A man gets a simple interest of Rs.600 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?

A rower can row upstream at 20 kph and downstream at 34 kph. What is the speed of the rower in still water?

The diagonals of a rhombus are 15 cm and 20 cm. Find its area?

8+88+888+.....+8888........8888. There are 21 “8” digits in the last term of the series. Find the last three digits of the sum.

A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one copy of Midsummer’s Night Dream. In how many distinct arrangements can these ten books be put in order on a shelf?

Find 12 ×× 19

The average age of a class of 19 students is 20 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?

The distance between a sports store and a recreation center is approximately 3.34 x 10^5 inches. Which of the following is closest to the distance between the sports store and a recreation center, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)

If 25% of a class averages 80% on a test, 50% of the class averages 65% on the test, and the remainder of the class averages 90% on the test, what is the overall class average?

Two numbers x and y are such that the sum of 3% of x and 4% of y is one-third of the sum of 2% of of x and 8% of y. Find the ratio of x : y.