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A train 130 m long passes a man,running at 6 kmph in the direction opposite to that of the train,in 6 seconds.The speed of the train is
The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 3 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 3 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams? Sports No of coaches Track 8 Tennis 5 Baseball 4
The fuel indicator in a car shows 1/5th of the fuel tank as full. When 22 more liters of fuel are poured in to the tank, the indicator rests at the 3/4of the full mark. Find the capacity of the tank.
If population of certain city increases at the rate of 5%. If population in 1981 was 185220, then population in 1978 was?
A Sum of Rs.2600, is lent out in 2 parts SI at 10% for 5yrs is equal to SI on 2nd part at 9% rate for 6 yrs. find the ratio of parts.
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 360 m long platform?
How long will it take a sum of money invested at 6 % p.a. S.I. to increase its value by 60%?
If x and y are different integers, both divisible by 11, then which is not necessarily true?
In a simultaneous throw of 2 dice what is the probability of getting a total of 2?
How many Three digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is replaced?
If a - b = 3 and a2 + b2 = 29, find the value of ab.
The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
(X)+4671+6514-7687=19190. Calculate the value of X
If the complement of a certain angle is seven times the measure of that certain angle, then what is the measure of that certain angle?
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 50 years now, the son's age 10 years back was?
For how many integers pair (x,y) satisfies the result (1/x)+((1/y)=1/16
A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
The volume of a cube is 1728 cc. Find its surface?
Deepak can read x pages in 10 minutes. At this rate, how long will it take him to read y pages?
The speed of a railway engine is 84 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is:
Two out of ten employees are capable of doing a certain task. Sixty percent of the five employees, including the two who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable?
Eight women of eight different heights are to pose for a photo in two rows of four. Each woman in the second row must stand directly behind a shorter woman in the first row. In addition, all of the women in each row must be arranged in order of increasing height from left to right. Assuming that these restrictions are fully adhered to, in how many different ways can the women pose?
Can you find the smallest non fractional number such that If the number gets divided by 7 , we get the remainder of 1; If the number gets divided by 8 , we get the remainder of 2 If the number gets divided by 9 , we get the remainder of 3; If the number gets divided by 10 , we get the remainder of 4.
In a race where 10 cars are running, the chance that car X will win is 1/7, that Y will win is 1/3 and that Z will win is 1/5. Assuming that a dead heat is impossible, find the chance that one of them will win.
The area of a square field is 4802 m(power)2 the length of its diagonal is:
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 Q of all the digits of the integers from 0 to 99 inclusive?
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. Find the time required by the first pipe to fill the tank ?
X starts a business with Rs.54000. Y joins in the business after 9 months with Rs.27000. What will be the ratio in which they should share the profit at the end of the year?
A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 49 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
If the number of boys in a class are 8 times the number of girls, which value can never be the total number of boys?
Three business people who wish to invest in a new company. Each person is willing to pay one third of the total investment. . After careful calculation, they realize that each of them would pay $ 7800 less if they could find two more equal investors. How much is the total investment in the new business.
Evaluate combination 16C2
Find the largest number which divides 62,132,237 to leave the same reminder
Laura took out a charge account at the General Store and agreed to pay 9% simple annual interest. If she charges $35 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
A number of 47 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
In the rectangular coordinate system, points (2, 0) and (– 2, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
In an office, totally there are 6400 employees and 65% of the total employees are males. 25% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
If a and b are nonzero integers such that 2a+1 = 5b+1, then each of the following must be true EXCEPT
A corporation seven times its annual bonus to 5 of its employees. What percent of the employees’ new bonus is the increase?
A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ?
1/2, 1/4, 1/8, 1/16, 1/32,1/64, 1/128 .... In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?
The population of a town is 10000. It increases annually at the rate of 15% p.a. What will be its population after 2 years?
Ifaequals the sum of the even integers from 2 to 100, inclusive, andbequals the sum of the odd integers from 1 to 99, inclusive, what is the value of a - b ?
maximun number of identical pieces(of same size) of a cake by making only 3 cuts?
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $30,000?
The ratio of two numbers is 4 : 5 and their H.C.F. is 4. Their L.C.M. is
If Ajay drives at 4/5th of his usual speed to his office, he is 6 minutes late. What is his usual time to reach his office?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 155 m. Then, A wins by:
A city council will select 2 of 9 available firefighters and 1 of 5 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
A train passes a station platform in 35 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 4:35 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
If a: b :: 3 : 7, then what is (5a+2b): (a-2b)?
Two full tanks one shaped like the cylinder and the other like a cone contain liquid fuel the cylindrical tank held 500 lts more then the conical tank After 200 lts of fuel is pumped out from each tank the cylindrical tank now contains twice the amount of fuel in the canonical tank How many lts of fuel did the cylindrical tank have when it was full?
By selling 12 pens for a rupee a woman loses 20%. How many for a rupee should he sell in order to gain 20%?
In a class, the teacher wrote a set of consecutive integers beginning with 1 on the blackboard. Little Johnny came and erased one number. The average of the remaining numbers was 2741327413. What was the number that Little Johnny erased?
If a cloth merchant sells ‘a’ metres of cloth for Rs.x, then what is the selling price of ‘b’ metres of cloth?
A mixture of certain quantity of milk with 16 liters of water is worth 90 P per liter. If pure milk be worth Rs1.08 per liter, how much milk is there in the mixture?
Tough and Tricky questions: Arithmetic. (56^2 + 56^2)/28^2 =
A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 840 in 4 years. The rate on interest per annum is.
A corporation ten times its annual bonus to 25 of its employees. What percent of the employees’ new bonus is the increase?
Of the 200 stamps in a collection, 80 are foreign and 50 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
In a tennis match if the first serve is not legal, that means a fault a second serve is allowed. Normally, 20 to 40 serves are required in a set of tennis match. At the end of a set, set summary stats reveal that first serves percentage was 63%. If m out of n were first serves then m + n is equal to
In the faculty of Reverse-Engineering, 200 second year students study numeric methods, 400 second year students study automatic control of airborne vehicles and 100 second year students study them both. How many students are there in the faculty if the second year students are approximately 60% of the total?
Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 180 feet in circumference.After how many minutes are the three of them together again?
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is ?
Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 40% in the following week, and increased by 30% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?
In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 25th in an arithmetic progression if the sum of the 11th and 15th terms of the sequence is 96?
A train running at the speed of 90 km/hr crosses a pole in 10 seconds. Find the length of the train.
Exactly two sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 2 times and the die lands with a red side up for the first time on the second roll?
The average salary per head of the entire staff of an college including the lecturer and professors is Rs.90. The average salary of professors is Rs.600 and that of the lecturer is Rs.84. If the number of professors is 2, find the number of professors in the office?
A lawn is in the form of a rectangle having its sides in the ratio 2: 3. The area of the lawn is (1/6) hectares. Find breadth of the lawn.
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
In how many years will a sum of money doubles itself at 5% per annum simple interest
An equity analyst needs to select 5 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 10, in how many ways can she choose and rank her top 5 picks?
A man walking at the rate of 6 km/hr crosses a bridge in 15 minutes. The length of the bridge is ______.
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
If 70 percent of the members of a certain organization are women and 7/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of married men in the organization is greater than the number of unmarried men in the organization.
A certain deck of cards contains 2 black cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both be not black?
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 6.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he covers with aspeed 4km/hr. Total time of travel is 18 hours. What is the maximum distance he can cover?
In the exam the average was found to be p mark. After deducting typographical error the average marks of 94 student reduced from 84 to 64 . Due to this the average came down by 18.8 marks. What was the number of students who took the exam?
A vessel of capacity 2 litre has 25% of alcohol and another vessel of capacity 6 litre had 30% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 4 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY?
If 0.45: x : : 4 : 2, then x is equal to
The 480 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT
A man on tour travels first 160 km at 56 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 800 m long?
The present population of a town is 3888. Population increase rate is 20% p.a. Find the population of town before 2 years?
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
if price of t.v set is reduced by 18%, then its sale increases by 72%, find net effect on sale value
If g, h, and i are each equal to 1 or 0, which of the following options will not be a correct value for e, given the equation e = g/5 + h/5^2 + i/5^3.
If the speed of X meters per second is equivalent to the speed of Y meters per hour, what is Y in terms of X? (1 kilometer=1000 meters)
What least number must be added to 1056, so that the sum is completely divisible by 23 ?
A car dealership has 40 cars on the lot, 20% of which are silver. If the dealership receives a new shipment of 80 cars, 50% of which are not silver, what percentage of total number of cars are silver?
Of the votes cast on a certain proposal, 68 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
Using all the letters of the word "LIVE", how many words can be formed, which begin with L and end with E?
Which of the following is satisfied with |x-4|+|x-3|<5?