dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
From the given equation find the value of x: x² − 3x + 2
It takes nine minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
Four people are on an elevator that stops at exactly 4 floors. What is the probability that exactly one person will push the button for each floor?
A man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 51st term in the sequence?
A boy has twelve trousers and 17 shirts. In how many different ways can he select a trouser and a shirt?
A fort had provision of food for 150 men for 50 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
There are n arithmetic means between 3 and 45 such that the sum of these arithmetic means is 552. find the value of n.
Find the simple interest on $6000 at 15% per annum for 9 months?
If 2x + y = 7 and x + 2y = 5, then xy/3 =
The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 12, which of the following represents the maximum possible value of the largest integer?
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 22, the how old is B?
Village X has a population of 72000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there
Express 50 mps in kmph?
(112 x 54) = ?
If PENCIL is coded as 45 and TRASH is coded as 36, then MEMORY is coded as
3889 + 14.952 - ? = 3854.002
In May, the grounds keeper at Spring Lake Golf Club built a circular green with an area of 36π square feet. In August, he doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race ?
A man sells a horse for Rs.1000 and loses something, if he had sold it for Rs.1090, his gain would have been double the former loss. Find the cost price of the horse?
If x=1/4, which expression has the greatest value?
The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
In an election, candidate Smith won 52% of the total vote in Counties A and Q. He won 61% of the vote in County A. If the ratio of people who voted in County Q to County B is 3:1, what percent of the vote did candidate Smith win in County Q ?
Find the face value of 8 in 8213456
If (a – b) is 13 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is:
The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
What is the remainder when the infinite sum (1!)² + (2!)² + (3!)² + ··· is divided by 1152?
A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 7% of bananas were rotten. Find the percentage of fruits in good condition?
If a class of 10 students has four men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
A cask initially contains pure alcohol up to the brim. The cask can be emptied by removing exactly 5 liters at a time . Each time this is done, the cask must be filled back to the brim with water. The capacity of the cask is 15 liters. When the cask is completely emptied and filled back to the brim two times, what is the ratio of alcohol to water in the cask
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
A man can swim in still water at 6 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Convert 300 miles into km?
What number continues the sequence? 25, 50, 27, 46, 31, 38, 39, ?
If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 4, what is the greatest number of four-digit extensions that the company can have?
A couple spent $198 in total while dining out and paid this amount using a credit card. The $198 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
T is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in T? I. 9 II. 15 III. 27
Four different children have jelly beans: Aaron has 5, Bianca has 7, Callie has 8, and Dante has 19. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?
The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. Find the length of the hypotenuse.
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.800 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
A train 250 m long is running at a speed of 27 km/hr. In what time will it pass a bridge 200 m long?
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
How many hours are there in 1200 minutes?
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Of the 75 cars on a car lot, 45 have air-conditioning, 35 have power steering, and 12 have both air-conditioning and power steering. How many of the cars on the lot have neither air-conditioning nor power steering?
When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/3 of its capacity. In terms of n, what is the capacity of the tank, in liters?
If r < y < -1, which of the following is true?
Find the value of 72518 x 9999 = m?
If the sides of a triangle are 26 cm, 18 cm and 10 cm, what is its area?
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Ramesh can finish a piece of work in 16 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work?
A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
a,b and c are positive integers less than or equal to 9 and multiple of 3. If a,b and c are assembled into the three-digit number abcabc, which of the following must be a factor of abcabc?
y =x^2 + bx + 128 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
Last year a certain bond yielded 12 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
A bakery currently has 5 pies and 6 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
You enter a weight loss challenge game and manage to lose 14% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255
Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?
300 gm of sugar solution has 40% sugar. How much sugar should be added to make it 50% in the solution?
If taxi fares were $1.00 for the first 1/5 mile and $0.40 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was
Set R consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set R, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?
A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?
An aeroplane covers a certain distance at a speed of 240 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after?
The lengths of the legs of a right triangle are x and y, while the length of the hypotenuse is x + y- 4. What is the maximum radius of a circle inscribed in this triangle?
The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?
In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and six different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color
The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
1+2=10 2+3=26 3+4=50 then 4+5=?
Six computers, each working at the same constant rate, together can process a certain amount of data in 9 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 6 days?
A cube is divided into 125 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
If x/4 – (x – 3)/5 = 1, then find the value of x.
You walk one mile to school every day. You leave home at the same time each day, walk at a steady speed of 3 miles per hour, and arrive just as school begins. Today you were distracted by the pleasant weather and walked the rst half mile at a speed of only 2 miles per hour. At how many miles per hour must you run the last half mile in order to arrive just as school begins today?
A train 560 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
If {b} denote the remainder when 3b is divided by 2 then which of the following is equal to 1 for all positive integers b? I. {2b+1} II. {2b}+1 III. 2{b+1}
Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
A 5-digit code consists of one number digit chosen from 1, 2, 3 and four letters chosen from A, B, C, D, E. If the first and last digit must be a letter digit and each digit can appear more than once in a code, how many different codes are possible?
A cyclist covers a distance of 750 meter in 2 minutes 50 seconds. What is the speed in km/hr of cyclist
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A man purchased 1 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Renu can do a piece of work in 6 days, but with the help of her friend Suma , she can do it in 5 days. In what time Suma can do it alone?
Roycee's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at four Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?
A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.110/- extra, then how much amount he took?
The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 700 square meters, what is the depth of the channel (in meters)?
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
Find the surface area of a cuboid 12 m long, 14 m broad and 7 m high
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
The least number which should be added to 2497, so that the sum is exactly divisible by 5, 6, 4 and 3, is

From the given equation find the value of x: x² − 3x + 2

It takes nine minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?

Four people are on an elevator that stops at exactly 4 floors. What is the probability that exactly one person will push the button for each floor?

A man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?

The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 51st term in the sequence?

A boy has twelve trousers and 17 shirts. In how many different ways can he select a trouser and a shirt?

A fort had provision of food for 150 men for 50 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

There are n arithmetic means between 3 and 45 such that the sum of these arithmetic means is 552. find the value of n.

Find the simple interest on $6000 at 15% per annum for 9 months?

If 2x + y = 7 and x + 2y = 5, then xy/3 =

The average (arithmetic mean) of four distinct positive integers is 10. If the average of the smaller two of these four integers is 12, which of the following represents the maximum possible value of the largest integer?

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 22, the how old is B?

Village X has a population of 72000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?

There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Express 50 mps in kmph?

(112 x 54) = ?

If PENCIL is coded as 45 and TRASH is coded as 36, then MEMORY is coded as

3889 + 14.952 - ? = 3854.002

In May, the grounds keeper at Spring Lake Golf Club built a circular green with an area of 36π square feet. In August, he doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?

In a 800 m race around a stadium having the circumference of 200 m, the top runner meets the last runner on the 5th minute of the race. If the top runner runs at twice the speed of the last runner, what is the time taken by the top runner to finish the race ?

A man sells a horse for Rs.1000 and loses something, if he had sold it for Rs.1090, his gain would have been double the former loss. Find the cost price of the horse?

If x=1/4, which expression has the greatest value?

The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?

In an election, candidate Smith won 52% of the total vote in Counties A and Q. He won 61% of the vote in County A. If the ratio of people who voted in County Q to County B is 3:1, what percent of the vote did candidate Smith win in County Q ?

Find the face value of 8 in 8213456

If (a – b) is 13 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is:

The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?

What is the remainder when the infinite sum (1!)² + (2!)² + (3!)² + ··· is divided by 1152?

A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 7% of bananas were rotten. Find the percentage of fruits in good condition?

If a class of 10 students has four men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?

A cask initially contains pure alcohol up to the brim. The cask can be emptied by removing exactly 5 liters at a time . Each time this is done, the cask must be filled back to the brim with water. The capacity of the cask is 15 liters. When the cask is completely emptied and filled back to the brim two times, what is the ratio of alcohol to water in the cask

The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?

Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?

A man can swim in still water at 6 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?

Convert 300 miles into km?

What number continues the sequence? 25, 50, 27, 46, 31, 38, 39, ?

If all of the telephone extensions in a certain company must be even numbers, and if each of the extensions uses all four of the digits 1, 2, 3, and 4, what is the greatest number of four-digit extensions that the company can have?

A couple spent $198 in total while dining out and paid this amount using a credit card. The $198 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. What was the actual price of the food before tax and tip?

A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?

T is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in T? I. 9 II. 15 III. 27

Four different children have jelly beans: Aaron has 5, Bianca has 7, Callie has 8, and Dante has 19. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?

3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?

Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?

The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. Find the length of the hypotenuse.

A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.800 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?

A train 250 m long is running at a speed of 27 km/hr. In what time will it pass a bridge 200 m long?

A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?

How many hours are there in 1200 minutes?

A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?

Of the 75 cars on a car lot, 45 have air-conditioning, 35 have power steering, and 12 have both air-conditioning and power steering. How many of the cars on the lot have neither air-conditioning nor power steering?

When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/3 of its capacity. In terms of n, what is the capacity of the tank, in liters?

If r < y < -1, which of the following is true?

Find the value of 72518 x 9999 = m?

If the sides of a triangle are 26 cm, 18 cm and 10 cm, what is its area?

A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?

Ramesh can finish a piece of work in 16 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work?

A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

a,b and c are positive integers less than or equal to 9 and multiple of 3. If a,b and c are assembled into the three-digit number abcabc, which of the following must be a factor of abcabc?

y =x^2 + bx + 128 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?

Last year a certain bond yielded 12 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?

A bakery currently has 5 pies and 6 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?

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

You enter a weight loss challenge game and manage to lose 14% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?

Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255

Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?

300 gm of sugar solution has 40% sugar. How much sugar should be added to make it 50% in the solution?

If taxi fares were $1.00 for the first 1/5 mile and $0.40 for each 1/5 mile there after, then the taxi fare for a 3-mile ride was

Set R consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set R, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?

A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?

An aeroplane covers a certain distance at a speed of 240 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:

Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after?

The lengths of the legs of a right triangle are x and y, while the length of the hypotenuse is x + y- 4. What is the maximum radius of a circle inscribed in this triangle?

The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?

In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and six different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color

The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction?

Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?

1+2=10 2+3=26 3+4=50 then 4+5=?

Six computers, each working at the same constant rate, together can process a certain amount of data in 9 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 6 days?

A cube is divided into 125 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?

If x/4 – (x – 3)/5 = 1, then find the value of x.

You walk one mile to school every day. You leave home at the same time each day, walk at a steady speed of 3 miles per hour, and arrive just as school begins. Today you were distracted by the pleasant weather and walked the rst half mile at a speed of only 2 miles per hour. At how many miles per hour must you run the last half mile in order to arrive just as school begins today?

A train 560 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

If {b} denote the remainder when 3b is divided by 2 then which of the following is equal to 1 for all positive integers b? I. {2b+1} II. {2b}+1 III. 2{b+1}

Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?

A 5-digit code consists of one number digit chosen from 1, 2, 3 and four letters chosen from A, B, C, D, E. If the first and last digit must be a letter digit and each digit can appear more than once in a code, how many different codes are possible?

A cyclist covers a distance of 750 meter in 2 minutes 50 seconds. What is the speed in km/hr of cyclist

A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?

A man purchased 1 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?

A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?

Renu can do a piece of work in 6 days, but with the help of her friend Suma , she can do it in 5 days. In what time Suma can do it alone?

Roycee's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.

A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?

Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at four Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments?

A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.110/- extra, then how much amount he took?

The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 700 square meters, what is the depth of the channel (in meters)?

A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?

Find the surface area of a cuboid 12 m long, 14 m broad and 7 m high

The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?

The least number which should be added to 2497, so that the sum is exactly divisible by 5, 6, 4 and 3, is