The steamer going upstream would cover the distance between Town A and Town B in 5 hours. The same steamer going downstream would cover the distance between the towns in 3 hours. How long would it take a raft moving at the speed of the current to float from B to A?
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If Raj was one-third as old as Rahim 5 years back and Raj is 17 years old now, How old is Rahim now?
My company's funding allows for 5 employees. The proposed offer is $315,000 to distribute evenly to the workers, but they employees are demanding $65,000 each. How much more money does the company need to offer to pay all the workers this amount?
At a company meeting, M men and W women meet in a conference room. If the ratio of men to women is 2:3 at the meeting and the conference room can hold no more than 64 people, then what is the maximum number of women who can be at the meeting?
On a map, the length of the road from Town F to Town G is measured to be 20 inches. On this map, 1/4 inch represents an actual distance of 10 miles. What is the actual distance, in miles, from Town F to Town G along this road?
One day in December 2015, three 2-digit prime numbers A, B and C, were
given to three members of a High School math team: Ashley, Beth, and Caitlin (respectively).
They had this conversation:
Ashley: you two add your numbers, we get precisely today's date!"
Beth: you two add your numbers, we get my birthday this month, which was before today."
Caitlin: you two add your numbers, we get my birthday this month, which is after today."
What number did Caitlin get?
Solution A has 5% salt concentration and remaining water. After heating 50 litres of Solution A at a certain temperature, due to evaporation, the salt concentration increases to 10%. The amount of water remaining in the solution would be
What is the largest integral value of 'k' for which the quadratic equation x2 - 5x + k = 0 will have two real and distinct roots?
You can purchase one soda and two energy bars for 150 cents, or two sodas and three energy bars for 300
cents. If the costs of the items do not change, compute the cost in cents of six sodas and seven bars.
If 6x - y = 24 and y = 3x, what is the value of x?
For a candidate to clear an examination, he/she must score 55% marks. If he/she gets 120 and fails by 78 marks, the total marks for the examination is
If Q, a positive integer, has 5 factors, which of the following must be true about Q?
I. Q is the square of a prime number.
II. Q is the fourth power of a prime number.
III. Q is the product of two prime numbers.
On a test the passing students had an average of 83, while the failing students had an average
of 55. If the overall class average was 76, what percent of the class passed?
Two cars start at the same time from opposite ends of a highway that is 50 miles long. One car is riding at 12 mph and the second car is riding at 13 mph. How long after they begin will they meet?
At Daifu university, 24% of all students are members of both a chess club and a swim team. If 20% of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team?
A box contains a certain number of balls, marked successively from 1 to n. If there are 45 different ways that two balls can be selected from the box such that the ball with number 3 marked on it is not selected, then what is the value of n?
Two ants are moving from their farms towards each other. Ant A is moving at a speed of 9 cm per hour and ant B is moving at a speed of 6 cm per hour. If the farms are 75 cm away from each other, what will be the distance (in cm) that ant A travels until meeting ant B?
In a class 1/16 of the students study math, 1/10 of the students study bio, 1/8 of the students study english. The total number of students is a 4 digit number. Find the diffrence between maximum number of students and minimum number of students.
Everyone in the family earns money each month. If the total income of a family per month is $9000 and the median income is $3000, how many members are there in the family?
A certain prosthodontist specializes in implanting gold and silver teeth in his patients’ mouths. He charges $650 for a gold tooth and $325 for a silver tooth. If his total fees for implanting gold and silver teeth last week were $15,925 in total, and he implanted five more gold teeth than silver teeth, how many teeth in total did he implant over the week?
Three friends Alan, Roger and Peter attempt to answer a question on an exam. Alan randomly guesses the answer, giving him a 1/5 probability of guessing correctly. Roger cheats by looking at the paper of the student in front of him, giving him a 2/3 probability of answering correctly. And Peter dutifully performs the calculations, then marks the answer, giving him a 5/6 probability of a correct answer. What is the probability that the question is answered correctly, but not via cheating?
What should come in place of the question mark(?) in each of the following questions ?
a2 - b2/(a + b)2 (?)=(a - b)2
A special cereal mixture contains rice, wheat and corn in the ratio of 2:3:5. If a bag of the mixture contains 3 pounds of rice, how much corn does it contain?
A group of 5 friends were to contribute equally to purchase items from a store. If store offered them a promotional discount of 15%, how much did each friend pay, given a total bill of $1200?
Consider a courier company A which can deliver 100 parcels in 5 days with 5 men working for 8 hours a day. Consider another courier company B where every employee is equally efficient as that of company B. Company B is short of one man when compared to A and has a policy of asking its workers to work only for 6 hours a day. How long (in days) company B will take to deliver 100 parcels.