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10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
what is the sum of the first 18 odd natural numbers
A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already 1/2 full and both the taps are opened together, will the tank be filled or emptied? How long will it take before the tank is either filled completely or emptied completely as the case may be? .
A person want to give his money of $4500 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
Scott's average (arithmetic mean) golf score on his first four rounds was 38.What score does he need on his fifth round to drop his average score by 2 points?
What is the units digit of 18! + 7 ?
Without stoppages a train travels a certain distance with an average speed of 80 km/h and with stoppages with an average speed speed of 60 km/h. How many minutes per hour does the train stops ?
4,25,121,289,?
Half of 7 percent written as decimal is
There are 6 red balls and 4 blue balls in a jar. If 3 balls are selected from the jar, what is the probability that all 3 balls selected are blue balls?
The sum of money will be double itself in 20years and simple interest find rate of interest?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
P, Q and R have Rs.4000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.9, what is the probability that Malachi will return home at the end of the day on the following Monday?
What is the value of 3x^2 − 1.6x + 0.3 for x = 0.8?
A certain list consists of 21 different numbers. If n is in the list and n is 2 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
A = {2, 3, 5, 7, 19} B = {2, 4, 6, 13} Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
A person purchased a TV set for Rs. 1600 and a DVD player for Rs. 700 . He sold both the items together for Rs. 3500. What percentage of profit did he make?
Find three consecutive odd integers so that the sum of twice the first, the second and three times the third is 152.
A girl borrows 65000 for 5 years at 5% p.a. simple interest. she immediately lends it to another person at 9 % p.a. for 5 years. Find her gain in the transaction per year.
A man walks from B to C, a distance of x miles, at 15 miles per hour and returns at 12 miles per hour. What is his average speed?
The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 6 seconds than it was moving after 3 seconds?
Johnny borrows $30,000 from Tony at 2% daily interest compounded daily. How much does Johnny owe Tony after 8 weeks?
A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole ?
At what rate percent per annum will a sum of money double in 16years?
The organizers of a week-long fair have hired exactly six security guards to patrol the fairgrounds at night for the duration of the event. Exactly two guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different pairs of guards will be available to patrol the fairgrounds on the following Saturday night?
The sum of even numbers between 1 and 31 is:
The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length W of a cube whose surface area is equal to 6z?
In a certain corporation, there are 300 male employees and 100 female employees. It is known that 20% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 400 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
The ratio between the speeds of two trains is 5: 7. If the second train runs 840 kms in 6 hours, then the speed of the first train is ?
A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel?
Excluding the stoppages, the speed of a bus is 32 km/hr and including the stoppages the speed of the bus is 16 km/hr. For how many minutes does the bus stop per hour?
From the given equation find the value of c: cÂ²-3c-10
Walking at 5/6th of its usual speed a cab is 5mnts late. Find its usual time to cover the journey?
A fair coin is tossed repeatedly. If heads appears on first 6 tosses what is the probability that tail appears on the next two tosses?
A and B go around a circular track of length 600 m on a cycle at speeds of 18 kmph and 48 kmph. After how much time will they meet for the first time at the starting point?
If 6 and 8 are factors of 60n, what is the minimum value of n?
How many 3-digit numerals begin with a digit that represents a prime and end with a digit that represents a odd prime number?
If a - b = 6 and a2 + b2 = 50, find the value of ab.
There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'S', then how many triangles can be determined with the 15 points that contain the point S?
If a:b=5:6 and b:c=2:3 find a:b:c?
A train running at the speed of 50 km/hr crosses a post in 4 seconds. What is the length of the train?
A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
If log 2 = 0.30103, the number of digits in 520 is
60 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
If 2^z is a factor of 26!, which of the following could be the value of z? I. 22 II. 23 III. 24
Find the missing number 5 : 24 :: 8 : ?
What should be the least number to be added to the 3198 number to make it divisible by 8?
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 292 runs?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
In how many years will a sum of money doubles itself at 25% per annum on simple interest?
Entry fee in an exhibition was Rs. 1. Later, this was reduced by 25% which increased the sale by 20%. The percentage increase in the number of visitors is :
If 8 persons can do 8 times of a particular work in 8 days, then, 9 persons can do 9 times of that work in?
Consider two statements Statement 1 => If R is an integer and R=2p+1 where p is not an integer. Statement 2 => If S is an integer and S=2q where q is not an integer Which of the following correctly specifies the Even/Odd nature of R and S respectively
A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -
Ben ips a fair coin repeatedly. Given that Ben's first coin ip is heads, compute the probability Ben ips two heads in a row before Ben ips two tails in a row.
Suppose 5 monkeys take 5 minutes to eat 5 bananas. How many monkeys would it take to eat 15 bananas in 15 minutes?
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.6 the sixth number is?
A cask is filled with alcohol and water in the ratio 5”3 Sixteen gallons of this are drawn off and the cask is filled with water and then the proportion of alcohol to water becomes 3:5 How many gallons does the cask hold ?
The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.7 kg. the weight of the new student is ?
There are 5 men and 11 women. In how many ways one can select a group of 6 with at-least 3 men?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 22 years. The present age of the husband is
Sand is poured into a box so that the box is being filled at the rate of 3 cubic feet per hour. If the empty rectangular box is 5 feet long, 4 feet wide, and 3 feet deep, approximately how many hours does it take to fill the box?
The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:
A woman complete a journey in 5 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
10, 25, 45, 54, 60, 75, 80
P and Q are the only two applicants qualified for a short-term research project that pays 480 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
A semicircular shaped window has diameter of 63cm. Its perimeter equals
Among 700people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?
Arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 0.5. What value is exactly 2 standard deviations less than the mean?
The average age of the mother and her six children is 10 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
Today Jim is four times as old as Fred, and Sam is 2 years younger than Fred. Four years ago Jim was 9 times as old as Sam. How old is Jim now?
The positive two-digit integers m and n have the same digits, but in reverse order. Which of the following must be a factor of m + n?
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 2010?
Find the sum of all odd numbers upto 100.
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 40° is?
If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?
The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 75 with him, what was the average amount with the group before his joining the group?
With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 3 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
The sum of the first 50 positive even integers is 2,550. What is the sum of the odd integers from 101 to 200, inclusive?
The measures of angles A, B and C of a triangle are in the ratio 3:4:5. What is the measure, in degrees, of the largest angle?
X does a work in 30 days. Y does the same work in 45 days. In how many days they together will do the same work?
The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers
The amount of time that three people worked on a special project was in the ratio of 1 to 2 to 3. If the project took 120 hours, how many more hours did the hardest working person work than the person who worked the least?
The simple interest in 14 months on a certain sum at the rate of 6 per cent per annum is 250 more than the interest on the same sum at the rate of 8 per cent in 8 months. How much amount was borrowed?
The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area W of that hemisphere?
If P is a prime number greater than 3, find the remainder when P^2 + 12 is divided by 12.
A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed (in km/hr) must be :
What is the value of x if (64^2)-(36^2)=20*x?
Two members of a certain club are selected to speak at the next club meeting. If there are 78 different possible selections of the 2 club members, how many members does the club have?
A present value of a machine is $128000. Its value depletiation rate is 25% per annum then find the machine value after 3 years
There are 18 balls in a box: 10 balls are green, 6 are blue and 2 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
In how many ways can three boys can be seated on five chairs?
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Tough and Tricky questions: Number Properties. What is the smallest positive integer x such that 320x is the cube of a positive integer?
What is the sum of the integers from -150 to 155, inclusive?

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