dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability Q of generating an odd prime digit is between
In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?
In covering a distance of 40 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:
A car travelling with 5/7 km of its actual speed covers 42km in 1hr 40 min 48 sec find the actual speed of the car?
What is the lowest possible common multiple of 2 distinct integers, each greater than 68?
Ms. Barton has four children. You are told correctly that she has at least two girls but you are not told which two of her four children are those girls. What is the probability that she also has two boys? (Assume that the probability of having a boy is the same as the probability of having a girl.
What was the principal , if at 12% per annum the interest after 3 years amounted to Rs.5888 less than the sum lent?
For one toss of a certain coin, the probability that the outcome is heads is 0.4. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 60 color copies at Print Shop Y than at Print Shop X?
A box contains 3 white balls, 2 black balls and 6 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw?
Calculate the circumference of a circular field whose radius is 8 centimeters.
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the president?
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of Qis?
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
The sum of five numbers is 400. The average of the first two numbers is 50 and the third number is 60. Find the average of the two numbers?
A man buys a cycle for Rs. 2300 and sells it at a loss of 30%. What is the selling price of the cycle?
How many 7 in between 1 to 120?
If log X/2=log Y/3 = log Z/5, then YZ in terms of X is
How many times are the hands of a clock at right angle in a day?
A cask full of milk,'E' liters is removed and water is mixed. This process is repeated and now the ratio in milk to water is 16:9. Then what is the amount of milk in liter.
The value of log 5 (1/125) is:
Find the one which does not belong to that group?
4,25,49,121
Amy has two decks of 56 cards each: Deck 1 and Deck 2. She takes 8 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what is the probability that Amy picks a black king or a red Jack from the new pack?
A certain barrel, which is a right circular cylinder, is filled to capacity with 60 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
The length of a bridge in meters, which a train 80-meters long and traveling at 45 km/hr can cross in 30 seconds is?
Which of the following is the highest fraction?
People spend an estimated $75 at the zoo every day, and the total estimated amount for bills every month for the nearest zoo is $200,000. To pay its bills, how many people need to be attending the zoo on a weekly basis? The amount of people needs to be rounded to whole numbers, and a month typically has 4 full weeks.
There are 6 people in the elevator. Their average weight is 156 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.
In how many ways can 4 boys and 3 girls sit around a table in such a way that no two girls sit together?
Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 40°C, what is the temperature of the pot of water in °F?
Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 10 laps around the track per hour and Nick completes 5 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
When x dividedby 288, the remainder is 47. Find the remainder when the same x is divided by 24?
A car covers a distance of 636 km in 6 ½ hours. Find its speed?
If the sum of the interior angles of a regular polygon measures up to 1260 degrees, then how many sides does the polygon have?
The probability of pulling a black ball out of a glass jar is 1/Q. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
A cistern can be filled by 3 pipes in 30, 40 and 60 min and emptied by an escape pipe in half an hour the 3 taps are turned on at noon but the escape pipe is at the same time accidentally left open and not closed for a quarter of an hour at what time will the cistern be full?
The factorial expression 13!/7! is not divisible by which of the following integers?
Rahul travels from A to B a distance of 200 miles in 5 hours. He returns to A in 4 hours. Find his average speed?
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
The function f is defined for all the positive integers h by the following rule: f(h) is the number of positive integers each of which is less than h and has no positive factor in common with h other than 1 . if p is a prime number then f(p)?
In 24 minutes, the hour hand of a clock moves through an angle of:
A copying machine "P" can copy 135 pages in 9 minutes, P and Q together can copy 300 pages in 12 minutes. In what time Q can copy 80 pages?
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
If x^2 > x^7> x^5, which of the following could be the value of x?
Carrie likes to buy t-shirts at the local clothing store. They cost $8.55 each. One day, she bought 9 t-shirts. How much money did she spend?
Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 37 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of sections A is 40 kg and that of sections b is 35 kg. Find the average weight of the whole class
Few years ago on 31st January on her 26th birthday a lady laid a baby. Now what's the sum of their ages?
5,9,16,28,48,__
Vikas bought a grinder with 15% discount on the labelled price. He sold the grinder for Rs.2880 with 20% profit on the labelled price. At what price did he buy the grinder?
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
It took Malcom 3.5 hours to drive from city A to city B. On his way back to city A, he increased his speed by 20 km per hour and it took him 3 hours. Find the average speed for the whole journey.
Three dice are thrown together, Find the probability of getting a total of atmost 5?
if (64)2 - (36)2 = 10x, then x = ?
There is rain at a rate of 12 centimeters per hour all over New Jersey. Somewhere downtown in New Jersey a group of students are waiting for the rain to stop. If the rain filled a tank the with a base area of 250 square centimeters and a depth of 6 centimeters, how long did the students wait for the rain to stop?
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 8 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 24?
The difference between simple and compound interest on Rs. 1300 for one year at 10% per annum reckoned half-yearly is?
If the ratio of the roots of the equation x2+3px-6=0 is equal to that of the roots x2+6rx-12=0, then:
A car averages 45 mph for the first 4 hours of a trip and averages 75 mph for each additional hour. The average speed for the entire trip was 65 mph. How many hours long is the trip?
39 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?
A reduction of 15% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 20% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?
A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of Rs. 200 each. For each rise of Rs. 4 in the selling price she will sell 2 less suits a week. If she sells the suits for Rs. x each, how many rupees a week will she receive from the sales of the suits?
Which of the following is equal to 1(1/6)%?
A rectangular window is twice as long as it is wide. If its perimeter is 18 feet, then what are its dimensions in feet?
If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.36 then sum is
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
The salaries of A and B together amount to $500. A spends 90% of his salary and B, 80% of his. If now, their savings are the same, what is A's salary?
A gardener changed the size of his rectangle shaped garden by increasing it's length by 40% & decreasing is's width by 20%.Find area of new garden.
d, q, and r are positive integers. If d, q, and r are assembled into the six-digit number dqrdqr, which one of the following must be a factor of dqrdqr?
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $288 per week. How much does she earn in dollars per hour?
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 20 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3 ♠3.32 - ♠2.42 =
In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 35 and 200, then the least and greatest integer on the card would be
David received Rs.6000 as his share out of the total profit of Rs.9000 which he and Dave earned at the end of 1 years. If David invested Rs.120000 for 6 months, whereas Dave invested his amount for the whole yr, what was the amount invested by Dave?
I. a^2 - 9a + 20 = 0, II. 2b^2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?
In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"?
A car gets 33 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 16 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
A train 275 meters 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?
In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 27th in an arithmetic progression if the sum of the 12th and 16th terms of the sequence is 98?
In 120 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
If A is the average (arithmetic mean) of 3 consecutive negative integers, which of the following must be true? I. A is a negative integer. II. A is a nonzero integer. III. A is a multiple of 3.
If x = -7/8 and y = -1/2, what is the value of the expression -2x – y^2?
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 8 cm each. The radius of the sphere is
There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?
A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?
How many number of 3's would be used to type numbers from 1 to 700
The average (arithmetic mean) of eight numbers is 49.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is
Find the odd man out 5,15,45,60,90,180
Sonika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
An error 2%in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
2 men and 3 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
Lerry, Michael, and Doug have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?

A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability Q of generating an odd prime digit is between

In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?

In covering a distance of 40 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:

A car travelling with 5/7 km of its actual speed covers 42km in 1hr 40 min 48 sec find the actual speed of the car?

What is the lowest possible common multiple of 2 distinct integers, each greater than 68?

Ms. Barton has four children. You are told correctly that she has at least two girls but you are not told which two of her four children are those girls. What is the probability that she also has two boys? (Assume that the probability of having a boy is the same as the probability of having a girl.

What was the principal , if at 12% per annum the interest after 3 years amounted to Rs.5888 less than the sum lent?

For one toss of a certain coin, the probability that the outcome is heads is 0.4. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?

For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 60 color copies at Print Shop Y than at Print Shop X?

A box contains 3 white balls, 2 black balls and 6 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw?

Calculate the circumference of a circular field whose radius is 8 centimeters.

A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the president?

The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of Qis?

Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?

The sum of five numbers is 400. The average of the first two numbers is 50 and the third number is 60. Find the average of the two numbers?

A man buys a cycle for Rs. 2300 and sells it at a loss of 30%. What is the selling price of the cycle?

How many 7 in between 1 to 120?

If log X/2=log Y/3 = log Z/5, then YZ in terms of X is

How many times are the hands of a clock at right angle in a day?

A cask full of milk,'E' liters is removed and water is mixed. This process is repeated and now the ratio in milk to water is 16:9. Then what is the amount of milk in liter.

The value of log 5 (1/125) is:

Find the one which does not belong to that group?

4,25,49,121

Amy has two decks of 56 cards each: Deck 1 and Deck 2. She takes 8 black cards from Deck 2 and adds them to Deck 1 and shuffles it thoroughly. She now picks a card from the newly formed pack of cards. If the probability of either picking a red ace or a king from the newly formed pack is greater than 1/8, what is the probability that Amy picks a black king or a red Jack from the new pack?

A certain barrel, which is a right circular cylinder, is filled to capacity with 60 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?

The length of a bridge in meters, which a train 80-meters long and traveling at 45 km/hr can cross in 30 seconds is?

Which of the following is the highest fraction?

People spend an estimated $75 at the zoo every day, and the total estimated amount for bills every month for the nearest zoo is $200,000. To pay its bills, how many people need to be attending the zoo on a weekly basis? The amount of people needs to be rounded to whole numbers, and a month typically has 4 full weeks.

There are 6 people in the elevator. Their average weight is 156 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.

In how many ways can 4 boys and 3 girls sit around a table in such a way that no two girls sit together?

Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 40°C, what is the temperature of the pot of water in °F?

Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 10 laps around the track per hour and Nick completes 5 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?

When x dividedby 288, the remainder is 47. Find the remainder when the same x is divided by 24?

A car covers a distance of 636 km in 6 ½ hours. Find its speed?

If the sum of the interior angles of a regular polygon measures up to 1260 degrees, then how many sides does the polygon have?

The probability of pulling a black ball out of a glass jar is 1/Q. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?

A cistern can be filled by 3 pipes in 30, 40 and 60 min and emptied by an escape pipe in half an hour the 3 taps are turned on at noon but the escape pipe is at the same time accidentally left open and not closed for a quarter of an hour at what time will the cistern be full?

The factorial expression 13!/7! is not divisible by which of the following integers?

Rahul travels from A to B a distance of 200 miles in 5 hours. He returns to A in 4 hours. Find his average speed?

Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L

The function f is defined for all the positive integers h by the following rule: f(h) is the number of positive integers each of which is less than h and has no positive factor in common with h other than 1 . if p is a prime number then f(p)?

In 24 minutes, the hour hand of a clock moves through an angle of:

A copying machine "P" can copy 135 pages in 9 minutes, P and Q together can copy 300 pages in 12 minutes. In what time Q can copy 80 pages?

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?

Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?

If x^2 > x^7> x^5, which of the following could be the value of x?

Carrie likes to buy t-shirts at the local clothing store. They cost $8.55 each. One day, she bought 9 t-shirts. How much money did she spend?

Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?

In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 37 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?

There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of sections A is 40 kg and that of sections b is 35 kg. Find the average weight of the whole class

Few years ago on 31st January on her 26th birthday a lady laid a baby. Now what's the sum of their ages?

5,9,16,28,48,__

Vikas bought a grinder with 15% discount on the labelled price. He sold the grinder for Rs.2880 with 20% profit on the labelled price. At what price did he buy the grinder?

Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?

It took Malcom 3.5 hours to drive from city A to city B. On his way back to city A, he increased his speed by 20 km per hour and it took him 3 hours. Find the average speed for the whole journey.

Three dice are thrown together, Find the probability of getting a total of atmost 5?

if (64)2 - (36)2 = 10x, then x = ?

There is rain at a rate of 12 centimeters per hour all over New Jersey. Somewhere downtown in New Jersey a group of students are waiting for the rain to stop. If the rain filled a tank the with a base area of 250 square centimeters and a depth of 6 centimeters, how long did the students wait for the rain to stop?

Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 8 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?

If sequence T is defined for all positive integers n such that t(n +1) = t(n) + n, and t 3 = 14, what is t 24?

The difference between simple and compound interest on Rs. 1300 for one year at 10% per annum reckoned half-yearly is?

If the ratio of the roots of the equation x2+3px-6=0 is equal to that of the roots x2+6rx-12=0, then:

A car averages 45 mph for the first 4 hours of a trip and averages 75 mph for each additional hour. The average speed for the entire trip was 65 mph. How many hours long is the trip?

39 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?

A reduction of 15% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?

Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 20% of the boxes. After Pam stopped, Stanley packed the same number of boxes that he had packed while working with Pam. What is the ratio of the number of boxes Pam packed to the number of boxes Stanley packed?

A clothing manufacturer has determined that she can sell 100 suits a week at a selling price of Rs. 200 each. For each rise of Rs. 4 in the selling price she will sell 2 less suits a week. If she sells the suits for Rs. x each, how many rupees a week will she receive from the sales of the suits?

Which of the following is equal to 1(1/6)%?

A rectangular window is twice as long as it is wide. If its perimeter is 18 feet, then what are its dimensions in feet?

If difference between compound interest and simple interest on a sum at 10% P.a. for 2 years is Rs.36 then sum is

If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?

The salaries of A and B together amount to $500. A spends 90% of his salary and B, 80% of his. If now, their savings are the same, what is A's salary?

A gardener changed the size of his rectangle shaped garden by increasing it's length by 40% & decreasing is's width by 20%.Find area of new garden.

d, q, and r are positive integers. If d, q, and r are assembled into the six-digit number dqrdqr, which one of the following must be a factor of dqrdqr?

Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $288 per week. How much does she earn in dollars per hour?

A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 20 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?

♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3 ♠3.32 - ♠2.42 =

In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 35 and 200, then the least and greatest integer on the card would be

David received Rs.6000 as his share out of the total profit of Rs.9000 which he and Dave earned at the end of 1 years. If David invested Rs.120000 for 6 months, whereas Dave invested his amount for the whole yr, what was the amount invested by Dave?

I. a^2 - 9a + 20 = 0, II. 2b^2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?

In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"?

A car gets 33 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 16 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?

A train 275 meters 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?

In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 27th in an arithmetic progression if the sum of the 12th and 16th terms of the sequence is 98?

In 120 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

If A is the average (arithmetic mean) of 3 consecutive negative integers, which of the following must be true? I. A is a negative integer. II. A is a nonzero integer. III. A is a multiple of 3.

If x = -7/8 and y = -1/2, what is the value of the expression -2x – y^2?

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 8 cm each. The radius of the sphere is

There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

How many number of 3's would be used to type numbers from 1 to 700

The average (arithmetic mean) of eight numbers is 49.1. If the sum of half of these numbers is 158.4, what is the average of the other half?

A number when divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is

Find the odd man out 5,15,45,60,90,180

Sonika deposited Rs.7000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?

An error 2%in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?

What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x

2 men and 3 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)

Lerry, Michael, and Doug have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?