dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
Four barrels of water have an average capacity of 8 gallons. What is the maximum possible capacity of the smallest barrel Q if the median is 10 gallons?
Set J consists of 5 consecutive even numbers. If the smallest term in the set is -2, what is the range of the positive integers in set J?
What is the measure of the acute angle between the hour and minute hands of a correctly working clock at 4:18 ?
A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
A train 300 m long is running at a speed of 99 km/hr. In what time will it pass a bridge 195 m long?
Of the science books in a certain supply room, 50 are on botany, 75 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
A can finish a work in 36days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
The numbers of students speaking English and Hindi are in the ratio of 4 : 5. If the number of students speaking English increased by 35% and that speaking Hindi increased by 20%, what would be the new respective ratio?
A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
In how many a committee of 5 members can be selected from 6men 5 ladies consisting of 3 men and 2 ladies
Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
A train covers a certain distance at a speed of 340kmph in 4 hours. To cover the same distance in 2 3/4 hours, it must travel at a speed of
6 people meet for a business breakfast. Each person shakes hands once with each other person present. How many handshakes take place?
Find the odd man out? 396, 462, 572, 427, 671, 264.
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
The average weight of 8 persons increases by 4 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
Which of the following statements is not correct? A. log10 (10) = 1 B. log (2 + 3) = log (2 x 3) C. log10 (1) = 0 D. log (1 + 2 + 3) = log 1 + log 2 + log 3
A pipe takes a hours to fill the tank. But because of a leakage it took 7 times of its original time. Find the time taken by the leakage to empty the tank
Three positive integers a, b, and c are such that their average is 24 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?
X and Y run a 100m race,where X beats Y by 20 m. To do a favor to Y, X starts 10m behind the starting line in a second 100m race. Both run at the same previous speed. Which of the following is true?
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 25%. What was its profit on the items sold in February?
Which of the following fractions terminates?
A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 9 seconds. Due to some problem, three boggies were detached. The train now crosses a telegraph post in
Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. The length of the faster train is
A shopkeeper labeled the price of his articles so as to earn a profit of 40% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal?
the ratio of two no. addition and subtraction be 4:3.the what is the ratio of numbers?
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Three workers have a productivity ratio of 2 to 5 to 9. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
As a bicycle salesperson, David earns a fixed salary of $40 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<2x II. y>x III. y>3
A certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
a light flashes every 20 seconds, how many times will it flash in ? of an hour?
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.2 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
log(a(a(a)^1/4)^1/4)^1/4 here base is a.
What is the CP of Rs 100 stock at 2 discount, with 1/5% brokerage?
The average of the marks of 10 students in a class is 40. If the marks of each student are doubled, find the new average?
A man can row upstream at 20 kmph and downstream at 60 kmph, and then find the speed of the man in still water?
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 92. Find the number of students who wrote the exam.
The ratio of the ages of Anil and his son at present is 7:3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2:1. Find the ratio of the present ages of Anil and his wife?
What should come in place of the question mark(?) in the following equation? 28⁄? = ?⁄112
Find the value of 72517 x 9999 = m?
On the coordinate plane , points P and B are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?
A does a work in 10 days and B does the same work in 5 days. In how many days they together will do the same work ?
There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure e in inches of the width of the foil covered prism?
The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 150 sq. cm, what is the length of the rectangle?
A $500 investment and a $1,500 investment have a combined yearly return of 10 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
What is the diffference between the place value and face value of 4 in the numeral 2694?
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Find the average of all prime numbers between 1 and 5.
Cars P and Q are approaching each other on the same highway. Car P is moving at 46 mph northbound and Car Q is moving at 54 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
Peeta asks Katniss, 'It is 6 am as per my watch right now.Do you know what will be the time 23, 999, 998 hours later?' Katniss knows the answer. Do you ?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?
What is the next number in this series? 4,12,84,3612....
In how many ways, a committee of 5 members can be selected from 4 men and 5 ladies, consisting of 3 men and 2 ladies?
Rs.360 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/5 . If the probability that a number 12 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?
Find the average of first 6 multiples of 5?
A car is purchased on hire-purchase. The cash price is $24 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 80 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl and 2 boys are selected ?
consider the sequence 1,-2,3,-4,5,6.....what is the average of the first 200 terms of the sequence?
3 balls are drawn randomly from a bag contains 3 black, 5 red and 4 blue balls. What is the probability that the balls drawn contain balls of different colors?
Of the four numbers, whose average is 40, the first is one-fourth of the sum of the last three. The first number is ?
In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?
A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
he average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 62 kg. What might be the weight of the new person ?
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 the 1000 recorded amounts have a mean of 8.5 ounces and a standard deviation of 0.2 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
Vinoth can complete a painting work in 20 days. Prakash can do the same work in 25 days. They start the work together but Vinoth quit after 3 days of work. How many days are required to complete the remaining painting work by Prakash.
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good
If 180/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer. II. 12/x is an integer. III. 36/x is an integer.
A train passes a station platform in 35 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
In a simultaneous throw of two coins, the probability of getting at least one head is
Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 20000 at the end of the year, what should be the share of Narendra?
A train 120 m long crosses a platform 120 m long in 6 sec; find the speed of the train?
Find the largest number of four digits which is exactly divisible by 27,18,12,15
Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
The contents of a certain box consist of 24 oranges and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be oranges?
A train 250 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A side of an equilateral triangle is tripled. If the previous parameter is 3x, what is the length of one of the sides before it was tripled?
If 9 engines consume 24 metric tonnes of coal, when each is working 8 hoursday, bow much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?
An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing?
At what angle the hands of a clock are inclined at 15 minutes past 5?
A man walks a certain distance and rides back in 6 1⁄4h. He can walk both ways in 7 3⁄4h. How long it would take to ride both ways ?
It is only in the second option we find the sentence A in continuation with the opening sentence D. Sentence A alone explains, why the fear has such enormous effect on the human beings.
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
If x > 1, which of the following decreases as x decreases? I. x + x^2 II. 1/(2x^2 − x) III. 1/(x + 1)
the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 12 meters, and the interior of tank B has a height of 12 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Which of the following is a prime number ?
A man buys an article for $10. and sells it for $30. Find the gain percent?

Four barrels of water have an average capacity of 8 gallons. What is the maximum possible capacity of the smallest barrel Q if the median is 10 gallons?

Set J consists of 5 consecutive even numbers. If the smallest term in the set is -2, what is the range of the positive integers in set J?

What is the measure of the acute angle between the hour and minute hands of a correctly working clock at 4:18 ?

A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?

A train 300 m long is running at a speed of 99 km/hr. In what time will it pass a bridge 195 m long?

Of the science books in a certain supply room, 50 are on botany, 75 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?

A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?

A can finish a work in 36days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?

The numbers of students speaking English and Hindi are in the ratio of 4 : 5. If the number of students speaking English increased by 35% and that speaking Hindi increased by 20%, what would be the new respective ratio?

A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?

An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?

A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

In how many a committee of 5 members can be selected from 6men 5 ladies consisting of 3 men and 2 ladies

Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?

The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?

A train covers a certain distance at a speed of 340kmph in 4 hours. To cover the same distance in 2 3/4 hours, it must travel at a speed of

6 people meet for a business breakfast. Each person shakes hands once with each other person present. How many handshakes take place?

Find the odd man out? 396, 462, 572, 427, 671, 264.

To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.

The average weight of 8 persons increases by 4 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?

Which of the following statements is not correct? A. log10 (10) = 1 B. log (2 + 3) = log (2 x 3) C. log10 (1) = 0 D. log (1 + 2 + 3) = log 1 + log 2 + log 3

A pipe takes a hours to fill the tank. But because of a leakage it took 7 times of its original time. Find the time taken by the leakage to empty the tank

Three positive integers a, b, and c are such that their average is 24 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?

X and Y run a 100m race,where X beats Y by 20 m. To do a favor to Y, X starts 10m behind the starting line in a second 100m race. Both run at the same previous speed. Which of the following is true?

A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 25%. What was its profit on the items sold in February?

Which of the following fractions terminates?

A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 9 seconds. Due to some problem, three boggies were detached. The train now crosses a telegraph post in

Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. The length of the faster train is

A shopkeeper labeled the price of his articles so as to earn a profit of 40% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal?

the ratio of two no. addition and subtraction be 4:3.the what is the ratio of numbers?

If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?

Three workers have a productivity ratio of 2 to 5 to 9. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?

A committee has 4 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?

As a bicycle salesperson, David earns a fixed salary of $40 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<2x II. y>x III. y>3

A certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?

a light flashes every 20 seconds, how many times will it flash in ? of an hour?

Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.2 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?

log(a(a(a)^1/4)^1/4)^1/4 here base is a.

What is the CP of Rs 100 stock at 2 discount, with 1/5% brokerage?

The average of the marks of 10 students in a class is 40. If the marks of each student are doubled, find the new average?

A man can row upstream at 20 kmph and downstream at 60 kmph, and then find the speed of the man in still water?

The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 92. Find the number of students who wrote the exam.

The ratio of the ages of Anil and his son at present is 7:3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2:1. Find the ratio of the present ages of Anil and his wife?

What should come in place of the question mark(?) in the following equation? 28⁄? = ?⁄112

Find the value of 72517 x 9999 = m?

On the coordinate plane , points P and B are defined by the coordinates (-1,0) and (3,3), respectively, and are connected to form a chord of a circle which also lies on the plane. If the area of the circle is (25/4) π , what are the coordinates of the center of the circle ?

A does a work in 10 days and B does the same work in 5 days. In how many days they together will do the same work ?

There is a rectangular prism made of 1 in cubes that has been covered in tin foil. There are exactly 128 cubes that are not touching any tin foil on any of their sides. If the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure e in inches of the width of the foil covered prism?

The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 150 sq. cm, what is the length of the rectangle?

A $500 investment and a $1,500 investment have a combined yearly return of 10 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?

What is the diffference between the place value and face value of 4 in the numeral 2694?

A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?

Find the average of all prime numbers between 1 and 5.

Cars P and Q are approaching each other on the same highway. Car P is moving at 46 mph northbound and Car Q is moving at 54 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?

Peeta asks Katniss, 'It is 6 am as per my watch right now.Do you know what will be the time 23, 999, 998 hours later?' Katniss knows the answer. Do you ?

In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?

Find (7x + 4y ) / (x-2y) if x/2y = 3/2 ?

What is the next number in this series? 4,12,84,3612....

In how many ways, a committee of 5 members can be selected from 4 men and 5 ladies, consisting of 3 men and 2 ladies?

Rs.360 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?

In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/5 . If the probability that a number 12 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?

Find the average of first 6 multiples of 5?

A car is purchased on hire-purchase. The cash price is $24 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment?

A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?

cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?

On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 80 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?

There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl and 2 boys are selected ?

consider the sequence 1,-2,3,-4,5,6.....what is the average of the first 200 terms of the sequence?

3 balls are drawn randomly from a bag contains 3 black, 5 red and 4 blue balls. What is the probability that the balls drawn contain balls of different colors?

Of the four numbers, whose average is 40, the first is one-fourth of the sum of the last three. The first number is ?

In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group ?

A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:

he average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 62 kg. What might be the weight of the new person ?

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 the 1000 recorded amounts have a mean of 8.5 ounces and a standard deviation of 0.2 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?

Vinoth can complete a painting work in 20 days. Prakash can do the same work in 25 days. They start the work together but Vinoth quit after 3 days of work. How many days are required to complete the remaining painting work by Prakash.

A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good

If 180/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer. II. 12/x is an integer. III. 36/x is an integer.

A train passes a station platform in 35 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

In a simultaneous throw of two coins, the probability of getting at least one head is

Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 20000 at the end of the year, what should be the share of Narendra?

A train 120 m long crosses a platform 120 m long in 6 sec; find the speed of the train?

Find the largest number of four digits which is exactly divisible by 27,18,12,15

Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:

The contents of a certain box consist of 24 oranges and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be oranges?

A train 250 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?

A side of an equilateral triangle is tripled. If the previous parameter is 3x, what is the length of one of the sides before it was tripled?

If 9 engines consume 24 metric tonnes of coal, when each is working 8 hoursday, bow much coal will be required for 8 engines, each running 13hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?

An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing?

At what angle the hands of a clock are inclined at 15 minutes past 5?

A man walks a certain distance and rides back in 6 1⁄4h. He can walk both ways in 7 3⁄4h. How long it would take to ride both ways ?

It is only in the second option we find the sentence A in continuation with the opening sentence D. Sentence A alone explains, why the fear has such enormous effect on the human beings.

What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?

If x > 1, which of the following decreases as x decreases? I. x + x^2 II. 1/(2x^2 − x) III. 1/(x + 1)

the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 12 meters, and the interior of tank B has a height of 12 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?

The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

Which of the following is a prime number ?

A man buys an article for $10. and sells it for $30. Find the gain percent?