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Out of three consecutive odd numbers eleven times the first number is equal to addition of thrice the third number and adding 8 to five times the second . What is the first number? |
In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a three or a one on either die, that player wins. What is the probability that a player wins after playing the game once? |
What will come in place of the question mark (?) in the following questions?
18.2% of 890 = ? |
Two employees X and Y are paid a total of Rs. 506 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? |
In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is: |
Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 10000 at the end of the year, what should be the share of Narendra? |
In a certain circle there are 10 points. What is the number of the triangles connecting 4 points of the 10 points? |
Jim and Reneey will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Reneey have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win? |
John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/5 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have? |
A research team is to consist of 3 scientists from Company A and 3 scientists from Company B. If the pool of available scientists from Company A is 5 and the pool of available scientists from Company B is 4 scientists, how many different research teams are possible? |
The product of all the prime numbers less than 22 is closest to which of the following powers of 10? |
Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 4^a and y = 3^b, which of the following is a possible units digit of xy? |
What is the remainder if 7^12 is divided by 100? |
A retail item is offered at a discount of d percent (where d > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of d, would result in the same final price? |
If a fair die is rolled once, what is the probability that a 3 occurs on at least one roll? |
When Usha was thrice as old as Nisha, her sister Asha was 25, When Nisha was half as old as Asha, then sister Usha was 34. their ages add to 100. How old is Usha? |
For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 80 of this series? |
A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is "frozen" if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently six spaces behind player B, what is the probability that player B will be frozen after player A rolls? |
Two spherical balls lie on the ground touching. If one of the balls has a radius of 6 cm, and the point of contact is 8 cm above the ground, what is the radius of the other ball? |
What is the difference between the place value and the face value of 9 in the numeral 296827? |
A whale goes on a feeding frenzy that lasts for 5 hours. For the first hour he catches and eats x kilos of plankton. In every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton, how many kilos did he consume on the third hour? |
A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 250 per month. What is his monthly salary? |
If the average (arithmetic mean) of seven consecutive integers is k - 2, then the product of the greatest and least integer is |
Find the odd man out. 3, 8, 18, 38, 78, 158, 316 |
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three (vice presidents)/VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded? |
A train 130 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? |
An auction house charges a commission of 25% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000? |
A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 520 m in ? |
A hall 36m long and 15m broad is to be paved with stones, each measuring 2dm by 5 dm. The number of stones required is: |
A boy has seven trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? |
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car? |
On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 40 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets? |
Car Q and Car Y traveled the same 80-mile route. If Car Q took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car Q, how many hours did it take Car Y to travel the route? |
The price of stock increased by 8% last year and decreased by 6% this year. What is the net percentage change in the price of the stock? |
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth? |
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet? |
Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 1500 |
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is? |
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 14 and 15. The larger of the two numbers is: |
If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 126, what is the common ratio of the G.P? |
A company has 50 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Ten employees have done just two courses and only one made the three courses. How many employees have no training? |
A project manager needs to select a group of 4 people from a total of 4 men and 4 women. How many possible group combinations exist such that no group has all men ? |
A train covers a certain distance at a speed of 320kmph in 6 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of |
Thirty percent of the women in a college class are science majors, and the non-science majors make up 80% of the class. What percentage of the men are non-science majors if 40% of the class are men? |
The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes? |
How many integers are there between 42 and 97, inclusive? |
During a trip, Francine traveled x percent of the total distance at an average speed of 20 miles per hour and the rest of the distance at an average speed of 80 miles per hour. In terms of x, what was Francine’s average speed for the entire trip? |
Which of the following describes all values of x for which 2–x^2 >= 0? |
A man buys an item at Rs. 800 and sells it at the loss of 20 percent. Then what is the selling price of that item |
A freight elevator can carry a maximum load of 1200 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator? |
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color? |
Sujit incurred a loss of 45% on selling an article for Rs.3410/-. What was the cost price of the article? |
Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12? |
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 7 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full? |
Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 60 watch exactly two channels. How many watch exactly one channel? |
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk? |
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? |
If the wages of 6 men for 15 days be Rs.2100, then find the wages of
for 12 days. |
what is the smallest integer that is multiple of 5,7,11 |
A and B together can complete one-ninth of a job in a day. What is the difference between the maximum and minimum number of days A could take to complete the job alone, if A and B take whole number of days to complete the job alone? |
What is the rate percent when the simple interest on Rs.910 amount to Rs.260 in 4 Years? |
Evaluate permutation
8P8 |
1. If the product of 6 integers is negative, at most how many of the integers can be negative? |
The ratio of the incomes of Rajan and Balan is 7:6 and the ratio of their expenditure is 6:5. If at the end of the year, each saves $1000 then the income of Rajan is? |
In a apartment, 30% of the people speak English, 20% speak Hindi and 10% speak both. If a people is selected at random, what is the probability that he has speak English or Hindi? |
If a and b are integers and (a*b)^5 = 128y, y could be: |
A car rental company charges for mileage as follows: 10 dollars per mile for the first n miles and 11 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ? |
On dividing a number by 357, we get 39 as remainder.On dividing the same number by 17, what will be the remainder ? |
The variables m and n are positive integers. When m is divided by 4, there is a remainder of 5, and when n is divided by 3, there is a remainder of 4. Which of the following are possible values of m + n?
I. 50
II. 70
III. 92 |
If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day? |
March 11, 2003 is a Tuesday. What will be the day on which march 11 2004 comes?? |
Two electronic musical instruments were purchased for 8000. The first was sold at a profit of 40% and the second at loss of 40%. If the sale price was the same in both the cases, what was the cost price of two electronic musical instruments? |
What is the average of first 21 multiples of 7 ? |
A recipe for a large batch of fruit juice at a factory calls for 10% oranges, 20% lemons, and 70% limes. if 200 lemons are used, how many limes are needed? |
What is the compound interest paid on a sum of Rs.4500 for the period of 2 years at 10% per annum. |
Combine terms: 8a + 26b -4b – 16a. |
8 cups of milk are to be poured into a 4-cup bottle and a 8-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 8-cup bottle? |
Which number should replace both the asterisks in (* /20) x (*/80) = 1 ? |
Mrs. Rodger got a weekly raise of $148. If she gets paid every other week, write an integer describing how the raise will affect her paycheck. |
In a class there are 20 boys and 24 girls. In how many ways can a boy and a girl be selected? |
The average temperature in Lincoln in July is 85 degrees. Last
Wednesday, it was 90 degrees. Today it was 15 degrees cooler than
last Wednesday. What was the temperature today? |
Boys and girls in a class are writing letters. There are twice as many girls as boys in the class, and each girl writes 3 more letters than each boy. If boys write 24 of the 90 total letters written by the class, how many letters does each boy write? |
In how many different orders can the people Alice, benjamin Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, David, Charlene must be on the line before each of Frederick, Gale, and Harold? |
Deby normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Deby averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives? |
In a 100 m race, A runs at 8km per hour. If A gives B a start of 4 m and still him by 15 seconds, what is the speed of B ? |
A boat running up stram takes 4 hours to cover a certain distance, while it takes 8 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively? |
Jane received an assorted bouquet of 25 flowers which included 8 white flowers,7 lavender flowers and 9 purple flowers.
She closed her eyes a pulled one flower from the bouquet. She opened her eyes, noticed that it was white and placed it aside. She closed her eyes and pulled a 2nd flower from the bouquet. What is the probability that the 2nd flower will also be white? |
A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village |
The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ? |
Let R1 and R2 respectively denote the maximum and minimum possible remainders when (276)n is divided by 91 for any natural number n,n>= 144. Find R1+R2. |
Set A contains all the even numbers between 12 and 60 inclusive. Set B contains all the even numbers between 62 and 110 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A? |
The average (arithmetic mean) of four different positive integers is 10. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer? |
38, 85, 22,75, 31,47, 13, 82
Which of the following numbers is greater than three-fourth of the numbers but less than one-fourth of the numbers in the list above? |
Here is a simple arithmetical puzzle in his own flowery, poetical language.
If one-fifth of a hive of bees flew to the badamba flower, one-third flew to the slandbara, three times the difference of these two numbers flew to an arbour, and one bee continued to fly about, attracted on each side by the fragrant Ketaki and Malati, what was the total number of bees? |
Machine A and machine R are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine R. Machine R produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces? |
How many positive even integers less than 100 contain digits 3 or 9? |
For any a and b that satisfy |a – b| = b – a and a > 0, then |a + 2| + |-b| + |b – a| + |ab| = |
Rathi took a loan for 6 years at the rate of 5% per annum on Simple Interest, If the total interest paid was Rs. 1230, Find the principal amount? |
Winson will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible? |
Two employees A and B are paid a total of Rs. 550 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week? |
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