TCS touchstone aptitude questions - Set IV

1. (1/2) of a number is 3 more than the (1/6) of the same number?

a) 6 b)7 c)8 d)9

2. There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80, 160…... If B filled in 1/16 of a tank in 3 hours, how much time will it take to fill the tank completely?

a) 9 B)8 c)7 d)6

3. Six persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?

a) 43 b)69 c)52 d)31

4. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?

a) 8 b)6 c)2 d)7

5. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph

6.A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?

a) 2000 b) 5000 c) 3000 d) 7000

7. x/2y = 2a,then 2x/x-2ay=?

a)4 b)8 c)16 d)2

8. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?

a)50 b)8 c)60 d)42

9.On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*W (t-9) for t X 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?

a) 17 b)21.25 c)12.25 d)14.05

10.In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?

a)18 b)19 c)20 d)21

11. Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.

a)20.72 b) 5.18 c) 238.25 d) 6.18

12. A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says ' At least n of the statements on this sheet are false. ‘Which statements are true and which are false?

a) The even numbered statements are true and the odd numbered are false.
b) The odd numbered statements are true and the even numbered are false.
c) The first 35 statements are true and the last 35 are false.
d) The first 35 statements are false and the last 35 are false.

13.If a and b are mixed in 3:5 ration and b and c are mixed in 8:5 ration if the final mixture is 35 liters, find the amount of b?

A) 13.34 b) 15.73 c) 16.73 d) 9.45

14. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?

a)21,500 b)30,000 c)21,000 d)20,000

15.One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?

a)18 b)22 c)30 d)10

16. 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”.then which day was that?

a) Sunday
b) Thursday
c) Saturday
d) Tuesday

17. Which is the smallest no which divides 2880 and gives a perfect square?

a)4 b)9 c)3 d)5

18. How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?

a)57 b)56 c)59 d)58

19. how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?

TCS touch stone, openseesame questions - set III

  1. Find the value of  (74*74*74-70*70*70)
  2. 2000 pillar temple of Hyderabad.
  3. The difference between the age of 2 of my 3 grandchildren is 3. My eldest is 3 times older then the youngest.            4 years ago Adithya's age was twice Ganesh age. 4 yrs hence Adithya's age will be 4/3 times the age of Ganesh. Find Adithya's present age.
  4. Prasad is twice as heavy as Pooja. Pooja's father has 3 times as much land as Prasad's father. Their families are exchanging ____ . It turns out that prasad is also twice as old as Pooja when Prasad was as old as Pooja is now.
  5. What is the smallest number by which 2880must be divided to make it into a perfect square.
  6. The no. of problems that can use this formula is sum of 2 prime numbers. The Product of 2 prime numbers is smaller than the total number of problems. Now, if the difference of any two numbers is 4, and the product is 24, what is the sum of the squares?
  7.  Watermelon is one penny each, dates at 2 for a penny and grapes at 3 for a penny. A father spent 7 penny and got the same amount of each type of fruit for each of his 3 children, Jane, Joe, and Jill. Jane is 3 yrs older than Jill and Joe. And Joe is exactly half the age of Jane and Jill. What did each child get?
             1 Watermelon, 2 Dates, 1 Grape

            1 Watermelon, 1 Dates, 1 Grape

            1 Watermelon, 3 Dates, 2 Grape

            1 Watermelon, 2 Dates, 2 Grape

8.      A man is standing in front of a painting of  a man. And he tells the following brothers and sister  have _______________________ , but this man's father is my father's son? Who is on the painting.a) His son b) He himself c) His father d) His grandfather.

9.      A racehorse starts chasing a wild pony 3 hours after the pony bolts the stable. The pony runs through the entire country of Alb.Texas jumping 3 streams and crossing four 10 meter roads. The racehorse finally catches up with the pony after four hours by the time the sun had set and the moon was up in the sky for 4 hours. If the average speed of the racehorse is 73kmph then average speed of the wild pony is ____ kmph. a)54.75 b)42.71 c)31.29 d)41.71

10.  The number of problems that can use this formula is sum of 2 prime numbers. Find 3x+2y/x-2y if x/2y =2

11.  A Seamstress buys a certain amount of gringham cloth which comes in rolls that are exactly 56 inches wide. She also bought a certain length of  Seersucker- 1 yard long and 35 inches wide. She discovers she has 112 yards of gringham and she wants to divide this into 112 lengths of 1 yard each. She wants to have twicw as many pieces as Seersucker as she does of gringham. It takes her 8 seconds to cut each length working non stop, how long in seconds does it take to cut 112 pieces.

12.  In the reading room of a library, there are ten reading spots. Each reading spot consist of a round table with four chairs placed around it. There are some readers such that in each occupied reading spot, there are different number of readers. If  in all there are ten readers how many reading spots do not have even a single reader.

13.   Stephen Hawking is the Author of the bestseller  “The Brief History of Time” and his daughter explains the universe to readers of all ages in their book “ George's Secret key to the Universe”.

     When Lucy was young his father would take his daughter to the terrace and explain about constellations to his daughter and then leaves her alone in the terrace to find few of them all by herself. Lucy finds around 25 groups of stars that appear to her as constellations. She draws 7 patterns of the constellations in her notebook and notes down the number of stars in each of them. She counts 5 stars in first constellation and 15 on next. She counts  a number the thrid time and forgets to note it down. The next four constellations she counts 51.53,159,161. Next day her father looks at the notebook and wants to know the number of stars in the third constellation. Lucy only remembers that number of starts counted in each of the constellation followed a pattern 5,15,x,51,53,159,161.

a) 19 b) 45 c) 16 d) 17

14.  Rowen is taller than lily and 2 of the 1000 pillars. Jill is shorter than Rowen & 3 pillars. Which is more accurate? a) Lily is shorter than Jill. b) Its impossible to tell c) Lily is taller than Jill d) Jill is as tall as Lily.