Monday 8 October 2012

TCS Pattern questions-1

Pattern 3: 

1. 6 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
 Solution: Total age of 6 persons is x hours,after two years total age of 6 persons is x+12
 Average age of 6 persons is after two years is 43
 So (x+12)/6=43,then solve x,
After 7th person is added then (x+7th person age)/7=45
 So we will get 7th person age easily

 2. In a market 4 men are standing. The average age of the four before 4years is 45, after some days one man is added and his age is 49. What is the average age of all?
 a) 43 b)45 c)47 d)49

3. In a shopping mall with a staff of 5 members the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What‟s the age of 6th person?
 a) 25 b)20 c)45 d)30

 4. In a market 4 men are standing .The average age of the four before 2 years is 55, after some days one man is added and his age is 45. What is the average age of all?
a) 55 b)54.5 c)54.6 d)54.7

Pattern 4: 

1. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
a)8 b)none c)16 d)15
 Solution: 23 reading spots, Each reading spot consists of 9 chairs placed around it so There are some readers such that in each occupied reading spot there are different numbers of readers.
 For each table different no of persons are sat,so for first table 1 person is sit,2nd table 2 persons are sit 36 readers means(1+2+3+4+5+6+7+8 so 8 tables are filled so 23-8=15 reading spots does not have single reader.

 2. 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 tables will be left out without at least 1 person?
a) 8 b)6 c)2 d)7

3. 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

Pattern 5: 

1. 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
 Solution: average speed=(2*x*y)/(x+y)

2. A man travels from A to B at 4 mph over a certain journey and returns over the same route to A, at 5 mph. What is his average speed for the journey?
 a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph

 3. A person is rock climbing at an altitude of 800 m. He go up by 7 mph. and come down by 9 mph. what was his average speed?
 a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph

4. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m?
 a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph

5. Person travels to a hill, if he goes from A to B with speed of 4kmph and returns back to B with speed of 5kmph. What is his average speed of journey?
a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph

 6. A man travels from A to B at 70 mph over a certain journey and returns over the same route to A, at 80 mph. What is his average speed for the journey?
a) 74.66 b)75 c)74.33 d)74.99

7. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.
 a) 28.8 b)28 c)27 d)28.6

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