CareerCup

2 ships are wardroom lighthouse one side at 30 degrees and other ship another side at 45 degrees. If the light house has 100 m, find the distance of the boat from the light house.

A car has front 30 and rear 20. If the front rotates 240 times. Find back wheel rotation.

12 marbles, 4 blue, 4 green, 4 red. What no of times you can draw that both colors are the same at once. When you pick 2 at once.

Wall of 88 m. Man climbs 12 and falls by 8, when he will reach the top?

(13% of 7439) * (3.23 % of 537) =?

A can-do work in 60 days and B can do the same work in 40 days. They work together for 12 days and then A goes away. In how many days will B finish the remaining work?

A Shopkeeper wants to earn 12% profit on an item after giving a 20% discount to the customer. By what percentage should he increase his marked price to arrive at the label price?

Salaries of A, B, and C are in the ratio 4 : 5: 9. If their salaries are increased by 25%, 10%, and 50% respectively, what will be the new ratio of their salaries?

2 trains starting at the same time from 2 stations 200km apart and going in opposite direction cross each other at a distance of 110km from one of the stations. what is the ratio of their speeds?

I have a few sweets to be distributed. If I keep 2, 3, or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute?

In a group of cows and hens, the number of legs is 14 more than twice the number of heads. The number of cows is

A man starts walking at 3 pm. he walks at a speed of 4 km/hr on level ground and at a speed of 3 km/hr on uphill, 6 km/hr downhill, and then 4 km/hr on level ground to reach home at 9 pm. What is the distance covered in one way?

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is?

A man can row 4.5 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of current?

In a boat, 25 persons were sitting. Their average weight increased one kilogram when One mango and a new man comes in. The weight of the new man is 70kgs. Find the Weight of the man who is going?

Walking at 3/4 of his usual speed, a man is late by 2 1/2 hr. the usual time is?

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21, and 28 is?

There is a merry-go-round race going on. One person says, "1/3 of those in front of me and 3/4 of those behind me, give the total number of children in the race". Then the number of children took part in the race?

A man fixed an appointment to meet the manager, Manager asked him to come two days after the day before the day after tomorrow. Today is Friday. When will the manager expect him?

Pipe A can fill a tank in 30 mins and Pipe B can fill it in 28 mins. If 3/4th of the tank is filled by Pipe B alone and both are opened, how much time is required by both the pipes to fill the tank completely?

If a boat is moving in upstream with a velocity of 14 km/hr and goes downstream with a velocity of 40 km/hr, then what is the speed of the stream?

In a class, except 18 all are above 50 years.15 are below 50 years of age. How many people are there?

Two cars are 15 km apart. One is turning at a speed of 50kmph and the other at 40km/h. How much time will it take for the two cars to meet?

City A's population is 68000, decreasing at a rate of 80 people per year. City B having a population of 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have the same population?

20% of a 6-liter solution and 60% of a 4-liter solution are mixed. What percentage of the mixture of solution

A school has 30% of students from Maharashtra. Out of these 20% are Bombay students. Find the total percentage of Bombay?

If the total distance of a journey is 120 km.If one goes by 60 km/h and comes back at 40kmph what is the average speed during the journey?

There are 6 red shoes & 4 green shoes. If two red shoes are drawn what is the probability of getting red shoes?

There are two candles of equal lengths and of different thicknesses. The thicker one lasts six hours. The thinner is 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles?

A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?

2 hours after a freight train leaves Delhi a passenger train leaves the same station traveling in the same direction at an average speed of 16 km/hr. After traveling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?

In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either. How many of these studied both Latin and Greek?

There are 200 questions on a 3 hr examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be spent on each maths problem as for each other question. How many minutes should be spent on mathematics problems?

A coffee shop blends 2 kinds of coffee, putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm. If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade, how much will the shop save in blending 100 gms.

I walk a certain distance and ride the car back taking a total time of 33 Minutes. I could walk both sides in 45 min. How long would it take me to ride both ways?

If each edge of a cube is increased by 50%, find the percentage increase in its surface area.

If 120 km is done by train and the rest by car, then it takes 8 hours for a 600 km journey. Of 200 km is done by train and the rest by car, then it takes 20 minutes more. Then what would be the ratio of the speed of the train to that of the car?

Mayur takes thrice as long to row a distance against the stream as to row the same distance in favor of the stream. The ratio of the speed of the boat(in still water) and the stream is:

The sum of the present ages of A, B, and C is 92 years. If 4 years ago, the ratio of their ages were 1:2:3 respectively, find A’s present age.

Find the speed of the train, if a train 142 m long passes a pole in 6 seconds.

In covering a distance of 40 km, Kamlesh takes 2 hours more than Pankaj. If Kamlesh doubles his speed, then he would take 1 hour less than Pankaj. Then what is Kamlesh's speed?

Find the speed of the boat in still water, if a boat covers a certain distance upstream in 2 hours, while it comes back in 1`1/2` hours. If the speed of the stream is 3 km/h.

Devesh can cover a certain distance in 1 hour 24 minutes by covering two-thirds of the distance at 6 km/hour and the rest at 7 km/hr. Calculate total distance.

A cow is tethered in the middle of the field with a 14 feet long rope. If the cow grazes 100 sq. ft. per day, then approximately what time will be taken by the cow to graze the whole field?

A shopkeeper sold a T.V set for Rs. 17,940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?

The ages of Ram and Shyam differ by 16 years. 6 years ago, the Ram was 3 times as old as Shyam. What is the present age of Ram?

What is the angle between the hour hand and the minute hand of a clock at 3.30?

A train of length 400 meters is running at a speed of 98 km/hr. The train takes 40 seconds to cross a tunnel. Find the length of the tunnel.

A certain number of men can do a piece of work in 50 days. If there were 6 men more the same work could be done in 10 days less. Find the original number of men.

A rice dealer bought 60 kg of rice worth Rs. 30 per kg and 40 kg of rice worth Rs. 35 per kg. He mixes the two and sells the mixture at Rs. 40 per kg. What is the percentage profit in this deal?

Two numbers are in the ratio of 15:11. If the HCF of numbers is 13, find the numbers.

What is the area of a square field whose diagonal is 40 meters?

The number of employees is reduced in the ratio 3: 2 and the salary of each employee is increased in the ratio 4: 5. By doing so, the company saves Rs. 12000. What was the initial expenditure on the salary?

In a lottery, there are 5 prizes and 35 blanks. If a lottery is drawn at random what will be the probability of getting a prize?

Approximate value of 0.4*0.4 + 0.04*0.04 + 0.04 is

The average age of a group of 30 boys in 16 years. A boy of age 19 leaves the group and a new boy joins the group. If the new average age of the group is 15.8 years, find the age of the new boy.

On lending, a certain sum of money on C.I. one gets Rs.9050 in 2 years and Rs.9500 in 3 years. What is the rate of interest?

What is the difference in the place value of 5 in the numeral 754853?

Mohan gets a salary of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 months. How much salary does he must-have in the sixth month so that he gets an average of Rs? 6500?

Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1: 2?

. Seats for Mathematics, Physics, and Biology in a school are in the ratio 5: 7: 8. There is a proposal to increase these seats by 40%, 50%, and 75% respectively. What will be the ratio of increased seats?

A man standing at point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and point P?

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 km/h and 4 km/h, and passes them completely in 9 and 10 seconds respectively. The length of the train is:

The sum of the present age of the mother and her son is 60 years. Six years ago, the age of the mother was five times the age of her son. What will be the age of her son after 6 years?

. A man sitting on a train which is running at a speed of 100 km/hr saw a goods train which is running in the opposite direction towards him. The goods train crosses the man in 8 seconds. If the length of a goods train is 300 meters, find its speed.

A is twice as good as a workman as B so he can do work in 40 days less than B. If they work together, in how many days they can do the work?

700 ml of a mixture contains water and milk in the ratio of 2:8. How much water must be added to the mixture so that the ratio of water and milk becomes 3:8?

Find the greatest integer that divides 358, 376, and 334 and leaves the same remainder in each case.

The length of a rectangle is thrice its breadth, and its perimeter is 106 meters. What is its area?

The ratio of the salary of A and B, one year ago is 3: 2. The ratio of original salary to the increased salary of A is 2: 3 and that of B is 3: 4. The total present salary of A and B together is Rs. 21500. Find the salary of B.

In a group of students, there are 15 boys and 10 girls. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?

The length of the longest rod that can be placed in a room 30 m long, 24 m broad, and 18 m high, is

The average weight of 10 men is decreased by 2 kg when one of them whose weight is 60 kg is replaced by a new man. What is the weight of the new man?

The ratio of the total amount distributed in all the males and females as salary is 6: 5. The ratio of the salary of each male and female is 2: 3. Find the ratio of the no. of males and females.

An alloy contains14 parts of tin and 100 parts of copper. What is the percentage of tin in the alloy?

A train of length 150 meters running at 100 km/hr. It crosses another train which is moving in the opposite direction at 80 km/hr in 8 seconds. Find the length of the other train.

A ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between the foot of the ladder and the wall is 5.5 meters, find the length of the ladder.

A mother is twice as old as her son. If 20 years ago, the age of the mother was 10 times the age of the son, what is the present age of the mother?

A's and B's shares in a business area in the ratio of 5:3. If A has invested Rs. 70000 for 12 months, for what period B has invested Rs. 60000?

What is the amount for a sum of money Rs.7500 at 6% rate of interest C.I. for 2 years?

A group consists of two males, two females, and three children. The average age of the male is 67 years, that of the female is 35 years, and that of the children in six years. What is the average age of the group?

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

The present ages of three persons in proportions 4: 7: 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are:

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

Reena took a loan of Rs 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:

Two, trains, one from Howrah to Patna and the other from Patna to Howrah start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

If 6 years are subtracted from the present age of Vijay and the remainder is divided by 18, the present age of Vishal is obtained. If Vishal is 2 years younger than Denis whose age is 5years, then what is Vijay's present age?

An accurate clock indicates 8 O'clock in the morning. Through how many degrees the hour hand turns when the clock indicates 3 O'clock in the afternoon?

A man is running at 10 km/hr on a parallel track in the same direction as a train which is moving at 55 km/hr. He is 260 meters ahead of the train. If the length of the train is 140 meters, at what time the train will cross the man?

40 men can paint a building in 15 days working 4 hours a day. In how many days 30 men working 5 hours a day will complete the work?

1/2 and 1/4 parts of two bottles are filled with milk. The bottles are then filled completely with water and the content of the bottles is poured into a container. Find the ratio of the milk and water in the container?

The ratio of income of two workers A and B are 3: 4. The ratio of expenditure of A and B is 2: 3 and each saves Rs 200. Find the income of A and B.

A family consists of two grandparents, two parents, and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

The dimensions of a hall are 40 m, 25 m, and 20 m. If each person requires 200 cubic meters, find the number of persons who can be accommodated in the hall.

The average age of 30 boys in a class is 15 years. If we include the age of two teachers the average age increases by 1. Find the sum of ages of the two teachers.

A: B: C is in the ratio of 3: 2: 5. How much money will C get out of Rs 1260?

The tickets numbered from 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket has a number which is a multiple of 3 or 5?

In what ratio water must be mixed with milk costing Rs.48 per liter to get a mixture worth Rs.32 per liter?

A train crosses two men who are running in the direction of the train at 4 km/hr and 8 km/hr in 18 and 20 seconds respectively. Find the length of the train.

The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and the base of the tower is equal to the height of the tower, find the value of θ?

If January 1, 1996, was Monday, what day of the week was January 1, 1997?

The ratio of the ages of Minu and Meera is 4:2. If the sum of their ages is 6 years, find the ratio of their ages after 8 years.

Sohan started a business with a capital of Rs.80000. After 6 months Mohan joined as a partner by investing Rs.65000. After one year they earned a total profit of Rs.20000. What is the share of Sohan in the profit?

What is the compound interest on Rs. 2500 for 2 years at the rate of interest of 4% per annum?

If the sum is 240 and the average is 40, find the number of quantities.

The largest 4 digit number exactly divisible by 88 is

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had

The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:

A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

A is two years older than B who is twice as old as C. If the total of the ages of A, B, and C be 27, then how old is B?

The price of 2 sarees and 4 shirts is Rs. 1600. With the same money, one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make a 25% profit?

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast other, then the speed of the faster train is: