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In how many different number of ways 4 boys and 2 girls can sit on a bench?
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 ?
The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum R of all the digits of the integers from 0 to 99 inclusive?
The overall age of X and Y is 18 year greater than the overall age of Y and Z. Z is how many decades younger that X?
How many positive factors do 150 and 90 have in common?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?
John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35 7/17. What was the number erased?
If (x # y) represents the remainder that results when the positive integer x is divided by the positive integer y, what is the sum of all the possible values of y such that (16 # y) = 1?
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 33∘, the temperature of Friday was :
Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5, 6}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
How many positive integers e less than 30 have no common prime factor with 30?
If A : B = 4 : 7 and B : C = 5 : 9 then A : B : C is :
17 balls are numbered 1 to 17. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
A train crosses a platform of 140 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Out of 7 consonants and 4 vowels, how many words of 4 consonants and 2 vowels can be formed?
The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 50 and n is not prime, what is the greatest possible value of f(n)?
A cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
In some language, 'COLLEGE' is written as 'FSOPHKH' and 'SCHOOL' is wriiten as 'VGKSRP'. Then What is for "STUDENT"??
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
4.036 divided by 0.02 gives :
The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?
For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 80 terms?
A box contains ten bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
If 25th of August in a year is Thursday, the number of Mondays in that month is
A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 7 hats randomly out of the drawer and returning each hat before taking out the next one?
Set A contains all the even numbers between 12 and 50 inclusive. Set B contains all the even numbers between 112 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
A person incurs 20% loss by selling a watch for $1000. At what price should the watch be sold to earn 20% profit?
What is the greatest power that 4 can be raised to so that the resulting number is a factor of 24!?
A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
Two pipes can fill a tank in 10 hours and 12 hours. While the 3rd pipe empties the full tank in 20hours. If all the 3 pipes are open in how much time will the tank be filled?
A particular parking garage is increasing its rates by 25 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the gar...
Which pair of numbers has least and maximum frequency in the given sequence? 8 7 5 6 4 5 8 3 8 6 7 2 3 5 8 3 5 7 6 4 7 6 5
What is the diference between the place value and face value of 3 in the numeral 1375?
Which of the following integers is NOT a divisor of x if x = (21)(3^6) – (109)?
A train passes a station platform in 36 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?
Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 19.8 The difference between the unit digit and hundreds digit of that number is :
A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Working alone, pump A can empty a pool in 4 hours. Working alone, pump B can empty the same pool in 6 hours. Working together, how many minutes will it take pump A and pump B to empty the pool?
The ratio of spinsters to cats is 2 to 7. If there are 55 more cats than spinsters, how many spinsters are there?
If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are the E odds that x^2+y^2>1?
A charity collected $1,299 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have?
(168% of 1265) ÷ 6 = ?
A 13% stock yields 8%.The market value of the stock is :
In what ratio must tea of Rs.42 per kg be mixed with tea of Rs.50 per kg so that cost of mixture is Rs.45 per kg?
The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 70 with him, what was the average amount with the group before his joining the group?
The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 60% more than the price of the other, what is the price of each of these two oranges?
A man can row with a speed of 20 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?
The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
Pipe A can fill a tank in 2 hours, pipe B in 4 hours and pipe C in 4 hours. If all the pipes are open, in how many hours will the tank be filled?
If a person walks at 10 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
A two digit number, digits interchange places and the new number is added to the original number, then the resulting number will be divisible by?
if 5 boys take two hours to water the garden, then how long should 10 boys take to water the same type of garden?
A train 125 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Eight family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table...
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 160 m, in what time will they cross other travelling in opposite direction?
Excluding stoppages, the speed of a train is 50 kmph and including stoppages it is 30 kmph. Of how many minutes does the train stop per hour?
How many arrangements can be made out of the letters of the word 'ENGINEERING' ?
From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 10 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
On a map, 1 centimeter represents 17 kilometers. Two cities 663 kilometers apart would be separated on the map by how many centimeters?
In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-one students are registered for History, twenty-six students are registered for Math, and thirty-four students are registered for English. If only three students are registered for all three class...
The average marks scored by Ganesh in English, Science, Mathematics and History is less than 18 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
Which is longest: a foot, a yard or an inch?
If p and q are integers, such that p < 3 < q, and s is a nonnegative integer, which of the following must be true?
A grocer stacked apples in a pile. The bottom layer was rectangular with 3 rows of 5 apples each. In the second layer from the bottom, each apple rested on 4 apples from the bottom layer, and in the third layer, each apple rested on 4 apples from the second layer. Which of the following is the maximum number of apples ...
The radius of a sphere is increased by 50%. The increase in surface area of the sphere is :
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
How much is 80% of 40 is greater than 2/5 of 25?
Given two sets A = {1,1,2,2,7,7} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
Of the three-digit integers greater than 700, how many have distinct digits?
Find the compound interest on $ 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly
There are n cities. What is the number of airlines that connected 5 different cities (airline from city A to city B is different with airline from city B to city A)?
What is the probability that a two digit number selected at random is a multiple of 3 and not a multiple of 5 ?
The sale price of a trolley bag including the sale tax is Rs. 280. The rate of sale tax is 12% . If the shopkeeper has made a profit of 25%, the cost price of the trolley bag is:
How many factors of 990 are odd numbers greater than 1?
A sum of Rs.1420 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
For some integer p, p^2 - 5 is divisible by all of the following EXCEPT
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 1200 per sq. metre.
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr
What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
A number is doubled and 5 is added. If the resultant is trebled, it becomes 105. What is that number?
The Present worth of Rs.2310 due years hence ,the rate of interest being 15% per annum, is :
All even numbers from 2 to 98 inclusive, except those ending in 0, are multiplied together what is the rightmost digit (the units digit) of the product?
A basket contains 5 apples of which one is rotten. If Henry is to select 2 apples from the basket simultaneously and at random what is the probability that the 2 apples selected will include the rotten apple?
What is the units digit of 29! + 50! + 3! + 3!?
If the milk and water ware added in the ratio 5:4 then how much more water should be added so he gets the ratio of 6:7.
if 5 tomatoes are worth 8 oranges,5 oranges are worth 4 apples, 7 apples are worth 3 pineapples and 7 pineapples cost rs.203,then he approx price of each tomato is
A school’s annual budget for the purchase of student computers increased by 60% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?
In a class there are 55 pupil, out of them 10 are in debate only and 18 in singing only. Then how many in both?
Anna left for city A from city B at 5.20 a.m. She traveled at the speed of 80 km/hr for 2 hrs 15 min. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?
If point A coordinates are (-6, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
Of the 420 members at a health club, 260 use the weight room and 300 use the pool. If at least 60 of the members do not use either, then the number of members using both the weight room and the pool must be between:
A seller of used cars has 10 cars to sell and each of his clients selected 2 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
A man sells a car to his friend at 13% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
Three people each took 6 tests. If the ranges of their scores in the 6 practice tests were 17, 28 and 35, 42 what is the minimum possible range in scores of the three test-takers?