1) There are 6561 balls out of them 1 is heavy. Find the min no of times the balls have to be weighted for finding out the heavy ball.
2) Complete the series 1, 2, 4, 13, 31, 112, _____.
3) 2, 7, 24, 77, ------
4) If the digits of my present age are reversed then I get the age of my son. If 1 year ago my age was twice as that of my son. Find my present age
5) If I walk with 30 miles/hr I reach 1 hour before and if I walk with 20 miles/hr I reach 1 hour late. Find the distance between 2 points. Find the speed with which I walk.
6) The product of 5 different temperatures is 12.If all of them are integers then find all the temperatures.
7) A woman who had been shopping on being asked what fruits she had bought, replied, they are all oranges but eight, all bananas but eight and all apples but eight. How many fruits did she altogether buy?
8) There was a race between 3 people, Me, Doug and Anne. When I take 21 steps the distance covered is equal to Doug's 24 steps and Anne's 28 steps. I take 6 steps to every 7 steps of Doug and 8 steps of Anne. Who won the race?
9) A Man is sitting in the last coach of train could not find a seat, so he starts walking to the front coach ,he walks for 5 min and reaches front coach. Not finding a seat he walks back to last coach and when he reaches there, train had completed 5 miles. what is the speed of the train
10) The Old car of Mary requires tyres to be changed after each 24000 km. if she wants to go for 42000 km journey then how many minimum number of tyres she will need
11) A person needs 6 steps to cover a distance of one slab. If he increases his foot length (step length) by 3 inches he needs only 5 steps to cover the slabs length. What is the length of the each slab?
12) There is one lily in the pond on 1st June. There are two in the pond on 2nd June. There are four on 3rd June and so on. The pond is full with lilies by the end of the June. On which date the pond is half full.
13) At 20% discount, a cycle is sold at a selling price of 2500 Rs. What is the actual price?
14) Find the next number in the series 1, 2, 11, 22, 121, ____.
15) There are five thieves, each loot a bakery one after the other such that the first one takes 1/2 of the total number of the breads plus 1/2 bread. Similarly 2nd, 3rd, 4th and 5th also did the same. After the fifth balance numbers of breads are 3. How many breads were there at the beginning?
16) There are 3 societies A B and C. A gave tractors to B and C as many as they had. After some time B gave tractors to A and C as many as they have. After sometime C did the same thing. At the end of this transaction each one of them had 24. Find the tractors each originally had
17) There are some chickens in poultry. They are fed with corn One sack of corn will come for 9 days. The farmer decides to sell some chicken and wanted to hold 12 chickens with him. He cuts the feed by 10% and sack of corn comes for 30 days. So initially how many chickens are there?
18) Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 for 30 cows. How many cows can eat away the same in 96 days?
19) 6 pigs cost the same as 9 sheep. 27 sheep cost the same as 30 goats. 50 goats cost the same as 3 elephants. If two elephants cost $4800, then the cost of one pig in dollar is ?
20) A wholesaler allows a discount of 20 % on the list price to the retailer. The retailer sells at 5% below the list price. If the customer pays Rs.19 for an article what profit is made by the retailer on it?
21) 3 machines A, B and C can be used to produce a product. Machine A will take 60 hours to produce a million units. Machine B is twice as fast as machine A. Machine C takes the same amount of time as machine A and B taken together. How much time will be required to produce a million units if all the three machines are used simultaneously?
22) The price of a product is reduced by 30%. By what percentage should it be increased to make it 100%
23) There is a square of side 6 cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square
24) There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 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
25) When the price of sugar rose by 25%, a householder reduced his annual consumption by 25 %. His yearly expenditure on sugar then became Rs 300/-What was it before?
26) Perimeter of the back wheel = 9 feet, front wheel = 7 feet. On a certain distance, the front wheel gets 10 revolutions more than the back wheel .What is the distance?
27) From a vessel, 1/3rd of the liquid evaporates on the first day. On the second day 3/4th of the remaining liquid evaporates. What fraction of the volume is present at the end of second day
28) A invests $12000, B invests $8000, C invests $6000 and they got a profit of $1200. How much share A got more than B and C?
29) A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11 mornings and 12 afternoons. How many days did they stay there totally?
30) A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?
31) A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother’s only son. What is the relation between the two
32) 80 liters of mixture contains milk and water in the ratio of 5 : 3. How many liters of the mixture will have to be replaced with water so that the resultant mixture has milk and water in equal proportion?
33) A team of workers had to manufacture 360 parts. Manufacturing 4 parts more per day than it was planned; the team completed the job 1 day ahead of time. For how many days did the team work on the job?
34) Two workers, working together can do the assigned job in 12 days. If the first worker does half the work and the second worker does the other half, the job will be done in 25 days. How long will it take each one of them to individually do the job?
A student of architecture is required to make a model for his presentation based on the design of a particular building. He uses cubes of equal dimensions. The final model is represented as follws:
§ The base has 16 cubes.
§ There are 4 cubes stacked above them in the middle.
§ Then two cubes are stacked on top of two adjoining cubes of this layer.
§ Finally one cube is stacked on top of the 2 cubes on this layer.
§ The student then paints the entire four-layered structure white , from top to bottom. Based on the above , answer the following questions.
35) How many smaller cubes are painted on more than 3 exposed surface?
36) How many smaller cubes could NOT get painted?
37) How many smaller cubes got a coat of paint on exactly one exposed surface?
38) How many smaller cubes could be painted on 2 sides only?
39) How many smaller cubes could be painted on only 3 exposed surface?
In a certain code , the symbol for 0 (zero) is * and for 1 is @. The numbers greater than 1 are to be written only by using the two symbol given above. The value of the symbol for 1 doubles it self every time it shifts one place to the left.
( for example , 4 is written as @** , 3 is written as @@ )
40) What is the value of the LCM of 9 , 10 , 15 in the code?
41) Find the value of HCF of 9 , 10 and 15 in the code ?
42) How will you represent the value of 4+20 / 4 in the code?
43) How will you represent the average of @*@** and @*@* in the code?
44) How will you represent 60 + 10 / 5 in the code?
45) A alone can do a work in 6 days B alone can do in 8 days with help of c they finished the work in 3 days.If the agreed sum is 640 what is the share of c.
46) Distance between two telegraph post is 100m.The two post is 130m away to the Listening Station. If a new Station is established at the centre of the Two post, then what will be the distance between two listening station?
47) Value of vehicle at end of each year depreciates at the rate of 3/5th of value at the beginning of the year. If Initial value is 10,000Rs then at the end of three years its value is?
48) A and B start walking same time form the same point and walk in same direction. A walk at a speed of 3mile/hour and B 4mile/hour. After 2hour and 15 min B take a rest for 45 min. But A continuously walks. After taking rest B start to return. How much distance from the starting point they meet together?
49) In town of 500 people, 285 read Hindu and 212 read Indian express and 127 read Times of India 20 read Hindu and Times of India and 29 read Hindu
and Indian express and 35 read Times of India and Indian express. 50 read no news paper. Then how many read all the three paper?
and Indian express and 35 read Times of India and Indian express. 50 read no news paper. Then how many read all the three paper?
50) If ABCDEFGH
X H
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= AAAAAAAAA What is H
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