dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
If 9 is a factor of 2k, then which of the following may not be an integer?
If the selling price of 50 books is equal to the cost price of 40 books, then the loss or gain percent is:
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 2 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
The area of a circle of radius 5 is numerically what percent of its circumference?
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
How many paying stones, each measuring 2 m * 2 m are required to pave a rectangular court yard 30 m long and 18 m board?
Vijay spends 40% of his monthly income on household items, 20% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 6000. Find his monthly income.
X and Y invest Rs.21000 and Rs.15000 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 30% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
Find the distance covered by a man walking for 72min at a speed of 10km/hr?
The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be?
If (a-5)(y+2) = 0 which of the following must be true?
There are two decks of 10 cards each. The cards in each deck are labeled with integers from 10 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 6?
What is the difference between the C.I. on Rs. 6000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Cistern may be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?
A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?
A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
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?
If 9/(1 + 4/x) = 1, then x =
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?
What number comes next in this Number series. 4 4 6 9 7 8 8 ? *Hint: check calende
If the price of petrol increases by 32, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
In a can, there is a mixture of milk and water in the ratio 5:3. If the can is filled with an additional 8 liters of milk, the can would be full and the ratio of milk and water would become 2:1. Find the capacity of the can?
Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 16 such machines produce in 4 minutes ?
If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x * y from options below?
The ratio between the speeds of two trains is 7: 9. If the second train runs 540 kms in 3 hours, then the speed of the first train is ?
Vehicle X is 22 miles ahead of Vehicle Y, which is traveling the same direction along the same route as Vehicle X. If Vehicle X is traveling at an average speed of 36 miles per hour and Vehicle Y is traveling at an average speed of 45 miles per hour, how long will it take Vehicle Y to overtake and drive 23 miles ahead of Vehicle X?
If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?
Currently guavas cost 30 cents/pound. Due to a disease affecting the guava trees it is expected that next month guavas will cost 50% more than they do currently. How much are guavas expected to cost next month?
There are 10 children in a company's day-care center, and a pair of children is to be selected to play a game. At most, how many different pairs are possible?
8.008/4.004
If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
A rectangular garden is to be twice as long as it is wide. If 150 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
Find the roots of quadratic equation: 3x2 - 7x - 6 = 0?
While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?
In a ground there are men and dogs. In all, there are 20 heads and 72 feet. How many men and how many horses are in the ground?
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 8:30 am. They shall first cross each other at ?
A 28 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is
If m = \|\|n – 3\| – 2\|, for how many values of n is m = 6?
Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed W ?
A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 15% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?
The difference between two integers is 5. Their product is 500. Find the numbers.
The sum of the first 60 positive even integers is 3,750. What is the sum of the odd integers from 101 to 200, inclusive?
Source: Knewton A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 12.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?
If x ≠ 0 and x^3 - (2- x^3)/x^3 = y/x^2, then y =
Three friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 10 days.In how many days B alone can do the work?
If the sum of 5 consecutive integers is y, which of the following must be true? I. y is an even number II. y is an odd number III. y is a multiple of 5
A company consists of 5 senior and 3 junior staff officers. If a committee is created with 1 senior and 2 junior staff officers, in how many ways can the committee be formed?
The average of first ten prime numbers which are odd is?
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 10200, how much money did he borrow?
By how much is three-fifth of 600 greater than four- seventh of 210 ?
If we have 8 people in a meeting, in how many ways they can sit around a table?
The area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm. What is the perimeter of the square?
Two employees X and Y are paid a total of Rs. 650 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
On dividing 52 by a number, the quotient is 16 and the remainder is 4. Find the divisor?
If s and t are positive integers such that s/t = 4.12, which of the following could be the remainder when s is divided by t ?
A table is bought for Rs.400/- and sold at Rs.500/- find gain or loss percentage
What is the next number: 3, 11, 83, __
A semicircle has a radius of 11. What is the approximate perimeter of the semicircle?
The cubic f(x) = x3 - 7x - 6 has three distinct roots, a, b, and c. Compute 1/a + 1/b + 1/c .
If x>=y and y>1 , what is the maximum value of log (base x) -(x/y) + log (base y)x^2/y?
16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?
Cereal A is 9% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
If a committee of 3 people is to be selected from among 9 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
What will $3000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
A man is 40 years older than his son. In six years, his age will be twice the age of his son. The present age of this son is
Inland revenue paid $300 on its first 1000 watts of electricity and then $5000 on the next 10000 watts. By approximately what percent did the ratio of monies due to watts increase from the first $1000 watts to the next 10000 watts?
A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price S per t-shirt that the vendor paid for these purchases?
A boat travels 80 km downstream in 8 hours and 48 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?
The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 34 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
There is a 30% chance Jen will visit Chile this year, while there is a 50% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both?
9 3/4 + 7 2/17 - 9 1/15=?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls?
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?
When average age of 21 members are 0, how many members greater than 0?
An owner of a pizza stand sold small slices of pizza for Rs. 150 each and large slices for Rs. 250 each. One night he sold 5000 slices, for a total of Rs. 10.50 lakh. How many small slices were sold?
Ten years ago, a mother was four times older than her daughter. After ten years, the mother will be twice older than daughter. The present age of the daughter is
In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 13 km/hr respectively. They will meet for the first time in?
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
From the below series find the remainder? 1201 × 1203 ×1205 × 1207 is divided by 6?
If 0 < a < b and k = (2a + 12b)/b , which of the following must be true?
A plant manager must assign 12 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 5 and a y-intercept of -5. If the two lines intersect at the point (a,b), what is the sum a+b?
If A= {2, 4, 6}, B= {1, 2, 5, 7}, and C= {2, 3, 4, 6}. Find A-(B U C)
A radio station has to choose two days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed?
John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one poetry?
How many trailing Zeroes does 53! + 54! have?
A person took some amount with some interest for 5 years, but increase the interest for 1%, he paid Rs.250/- extra, then how much amount he took?
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.019 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is
If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+69)=?
The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?

If 9 is a factor of 2k, then which of the following may not be an integer?

If the selling price of 50 books is equal to the cost price of 40 books, then the loss or gain percent is:

At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 2 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?

The area of a circle of radius 5 is numerically what percent of its circumference?

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

How many paying stones, each measuring 2 m * 2 m are required to pave a rectangular court yard 30 m long and 18 m board?

Vijay spends 40% of his monthly income on household items, 20% of his monthly income on buying cloths, 10% of his monthly income on medicines and saves the remaining amount which is Rs. 6000. Find his monthly income.

X and Y invest Rs.21000 and Rs.15000 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?

Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 30% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?

Find the distance covered by a man walking for 72min at a speed of 10km/hr?

The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be?

If (a-5)(y+2) = 0 which of the following must be true?

There are two decks of 10 cards each. The cards in each deck are labeled with integers from 10 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 6?

What is the difference between the C.I. on Rs. 6000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?

Cistern may be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?

A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?

A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?

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?

If 9/(1 + 4/x) = 1, then x =

A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?

In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?

What number comes next in this Number series. 4 4 6 9 7 8 8 ? *Hint: check calende

If the price of petrol increases by 32, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?

In a can, there is a mixture of milk and water in the ratio 5:3. If the can is filled with an additional 8 liters of milk, the can would be full and the ratio of milk and water would become 2:1. Find the capacity of the can?

Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 16 such machines produce in 4 minutes ?

If x^2 = y^3 , where x and y are non negative and non zero integers, what is the greatest possible value of x * y from options below?

The ratio between the speeds of two trains is 7: 9. If the second train runs 540 kms in 3 hours, then the speed of the first train is ?

Vehicle X is 22 miles ahead of Vehicle Y, which is traveling the same direction along the same route as Vehicle X. If Vehicle X is traveling at an average speed of 36 miles per hour and Vehicle Y is traveling at an average speed of 45 miles per hour, how long will it take Vehicle Y to overtake and drive 23 miles ahead of Vehicle X?

If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?

Currently guavas cost 30 cents/pound. Due to a disease affecting the guava trees it is expected that next month guavas will cost 50% more than they do currently. How much are guavas expected to cost next month?

There are 10 children in a company's day-care center, and a pair of children is to be selected to play a game. At most, how many different pairs are possible?

8.008/4.004

If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?

A rectangular garden is to be twice as long as it is wide. If 150 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

Find the roots of quadratic equation: 3x2 - 7x - 6 = 0?

While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?

In a ground there are men and dogs. In all, there are 20 heads and 72 feet. How many men and how many horses are in the ground?

A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 8:30 am. They shall first cross each other at ?

A 28 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?

Speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is

If m = ||n – 3| – 2|, for how many values of n is m = 6?

Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed W ?

A merchant has 100 lbs of sugar, part of which he sells at 7% profit and the rest at 15% profit. He gains 10 % on the whole. Find how much is sold at 7% profit?

The difference between two integers is 5. Their product is 500. Find the numbers.

The sum of the first 60 positive even integers is 3,750. What is the sum of the odd integers from 101 to 200, inclusive?

Source: Knewton A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 12.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 7 hours?

If x ≠ 0 and x^3 - (2- x^3)/x^3 = y/x^2, then y =

Three friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?

A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 10 days.In how many days B alone can do the work?

If the sum of 5 consecutive integers is y, which of the following must be true? I. y is an even number II. y is an odd number III. y is a multiple of 5

A company consists of 5 senior and 3 junior staff officers. If a committee is created with 1 senior and 2 junior staff officers, in how many ways can the committee be formed?

The average of first ten prime numbers which are odd is?

Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 10200, how much money did he borrow?

By how much is three-fifth of 600 greater than four- seventh of 210 ?

If we have 8 people in a meeting, in how many ways they can sit around a table?

The area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm. What is the perimeter of the square?

Two employees X and Y are paid a total of Rs. 650 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

On dividing 52 by a number, the quotient is 16 and the remainder is 4. Find the divisor?

If s and t are positive integers such that s/t = 4.12, which of the following could be the remainder when s is divided by t ?

A table is bought for Rs.400/- and sold at Rs.500/- find gain or loss percentage

What is the next number: 3, 11, 83, __

A semicircle has a radius of 11. What is the approximate perimeter of the semicircle?

The cubic f(x) = x3 - 7x - 6 has three distinct roots, a, b, and c. Compute 1/a + 1/b + 1/c .

If x>=y and y>1 , what is the maximum value of log (base x) -(x/y) + log (base y)x^2/y?

16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?

Cereal A is 9% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight?

If a committee of 3 people is to be selected from among 9 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?

What will $3000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?

A man is 40 years older than his son. In six years, his age will be twice the age of his son. The present age of this son is

Inland revenue paid $300 on its first 1000 watts of electricity and then $5000 on the next 10000 watts. By approximately what percent did the ratio of monies due to watts increase from the first $1000 watts to the next 10000 watts?

A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price S per t-shirt that the vendor paid for these purchases?

A boat travels 80 km downstream in 8 hours and 48 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current.

Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 34 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?

There is a 30% chance Jen will visit Chile this year, while there is a 50% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both?

9 3/4 + 7 2/17 - 9 1/15=?

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?

123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls?

The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?

Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?

When average age of 21 members are 0, how many members greater than 0?

An owner of a pizza stand sold small slices of pizza for Rs. 150 each and large slices for Rs. 250 each. One night he sold 5000 slices, for a total of Rs. 10.50 lakh. How many small slices were sold?

Ten years ago, a mother was four times older than her daughter. After ten years, the mother will be twice older than daughter. The present age of the daughter is

In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually

The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 13 km/hr respectively. They will meet for the first time in?

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

From the below series find the remainder? 1201 × 1203 ×1205 × 1207 is divided by 6?

If 0 < a < b and k = (2a + 12b)/b , which of the following must be true?

A plant manager must assign 12 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?

In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 5 and a y-intercept of -5. If the two lines intersect at the point (a,b), what is the sum a+b?

If A= {2, 4, 6}, B= {1, 2, 5, 7}, and C= {2, 3, 4, 6}. Find A-(B U C)

A radio station has to choose two days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed?

John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one poetry?

How many trailing Zeroes does 53! + 54! have?

A person took some amount with some interest for 5 years, but increase the interest for 1%, he paid Rs.250/- extra, then how much amount he took?

One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.019 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?

Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?

Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is

If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+69)=?

The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?