CTS PLACEMENT PAPER-1

Pattern 1:

1. 20 men handshake with each other without repetition. What is the total number of handshakes made?
a) 190 b) 210 c) 150 d) 250
2. 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in no pair of cyclic sequence.
a) 45 b) 9 c) 12 d) 10


Pattern 2:


a) 48 b) 50 c) 52 d) 64
Solution: Proceed with answer is best in question they will give total no of wheels 
2. If there are 2 wheeler and 4 wheeler parked in a school located at the heart of the city, find the number of 4 wheeler parked there if there were 58 wheels are parked there
a)10 b) 33 c) 22 d) none

Pattern 3:

1. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought from each piece for his son?
a) 1app, 1cho, 1 banana  b)1 app, 2cho,3 banana  c)1app, 2cho, 1banana

2. One person had three children. He had 7 pennies. Find the distribution of the fruits among the three children. A melon costs 1 penny, 2 oranges cost 1 penny and 3 grapes cost 1 penny
a)2 melons, 1 orange, 1 grape b) 2 melons, 2 orange, 1 grape c) 1 melons, 2 orange, 1 grape.

Pattern 4:
1) The age of the two friends were in the ration of 6:5. If the sum of their ages is 55. Then after how many years their ratio will become 8:7?
a) 11 b) 7 c) 10 d) 12

Solution: 6x+5x=55, so x=5, put first ratio after substitution is (6*5)/(5*5) and second ratio is 40/35 So difference in numerators 40-30=10 years

2)The age of the two friends were in the ration of 6:5. If the sum of their ages is 66. Then after how many years their ratio will become 7:6?
a) 11 b) 6 c) 10 d) 12

3) The age of the two friends were in the ration of 2:3. If the sum of their ages is 55. Then after how many years their ratio will become 4:5?
a) 11 b) 33 c) 22 d) 44

Pattern 5:


a) 2812 b) 8231 c) 2734 d) 4222

Pattern 6:

1) A person is manufacturing a house. He bought 20 ropes of wire which has a density of 300 Kg/m3. The height of the building to be constructed is 40 m. If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts. Then what will be the opposing force to the current if the wire is used?

a) 2 b) 4 c) 8 d) 1600

Solution: ohms law V=IR, Opposing force of current is resistance, R=v/i

Pattern 7:

1) A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81 Kmph. Then what is the average speed of the pony?

a) 46.4 b) 51 c) 53.4 d) 48.6

Solution: Horse takes 3 hours to cover the distance



Pattern 8:

1) The difference between two no is 9 and the product of the two is 14.What is the square of their sum?

a) 120 b) 130 c) 137 d) 145

Solution: a-b=9, ab=14, (a-b)2=a2+b2-2*a*b

2) The sum of two no is 5 and the product of the two is 14.What is the sum of their squares?

3) The sum of the squares of two no is 12 and their sum is 15.Find the product of the two no?