TCS Placement Paper soln for all 70 patterns : (11-20)

Pattern 11:

1. 3, 22, 7, 45, 15,? , 31
a) 91 b)151 c) 90 d) 5

2. 8 6 17 14 35 31 75 _ 143?

3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7,
22, 15, 67, 31, _, 63?
a) 202 b) 31 c) 76 d) 49

4. 3, 12, 7, 26, 15, ?
a) 54 b) 27 c) 108 d) 31

5. 1! + 2! + ««. + 50!=?
a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62

6. 1, 2, 3, 6, 7, 14, _, 32?

7. 5, 9, 12, 18, 26, 36, 47, 72, _?
a) 75 b) 135 c) 100 d) 55

8. 3, 15, x, 51, 53,159, 161
a) 17 b) 34 c) 54 d) 112

Pattern 12:

1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c
,then a& b, then b & c ,then c & a at last abc, the last weight was 167,then what will be the
average weight of the 7 reading?
a) 95 b) 95.428 c) 95.45 d) 94

Solution: Last weight abc is 167i.e three persons weight is 167 .in first 6 combinations
a,b,c,ab,bc,aci.e a checked weight for 3 times totally like that band c also so total weight in
all 7 combinations is (4*167)

Average is (668/7)=95.42

Pattern 13:

1. A toy train produces 10 different sounds when it moves around a circular toy track of
radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2
different tunes at random. What are the odds that the train produces for consecutive music
tones of the same type?
a) 1 in 16 B) 1 in 4 c) 1 in 8 d) 1 in 32

Solution: Initially it produces 10 sounds and the defect came and now it pr oduces only 2
different sounds and consecutively so there are totally 2 sounds and we have to select on
sound and the probability is ½ and it produces the same sound concecutively for 2 times so
the probability becomes ½*1/2 ie ¼

2. A car manufacturer produces only red and blue models which come out of the final testing
area at random. What ar e the odds that five consecutive cars of same color will come through
the test area at any one time?
a) 1 in 16 b) 1 in 125 c) 1 in 32 d) 1 in 25

Pattern 15:

1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm.
What will be the area of the square made from the same r ope?
a) 280.5625 b) 240.5625 c) 280.125 d) 240

Solution:add all sides 25+11+31 to get r ope length rope length =67,rope is made in to as
square

So side of square is 67/4=16. 75 and so ar ea is 16.75*16.75=280.5625

2. A triangle is made from a rope. The sides of the triangle ar e 21 cm, 24 cm and 28 cm.
What will be the area of the square made from the same rope?
a) 280.5625 b) 333.0625 c) 333.0125 d) 400

Pattern 16:

1. What is the distance between the z-intercept from the x-intercept in the equation
ax+by+cz+d=0

Solution:intercept for m equation

2. What is the distance of the z-inter cept fr om the x-intercept in the equation ax+by+cz=d (I
do not remember the values of a, b, c, d).

Pattern 17:

1. A scientist was researching on animal behavior in his lab. He was very inter ested in
analyzing the behavior of bear. For some reason he travelled 1mile in north dir ection &
reached at North Pole. T here he saw a bear. He then followed the bear around 1 hr with a
speed of 2km/hr in east dir ection. After that he travelled in south dir ection & reached at his
lab in2 hrs. Then what is the color of the bear?

a) White b) Black c) Gray d) Br own

Solution is: White. above all the matter is nonsense

Pattern 18:

1. Out of 7 children the youngest is boy then find the probability that all the remaining
children ar e boys
a)1/64 b)1/32 c)1/128 d)1/256

Pattern 19:

1. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be
cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153
pieces?
a)153 b)152 c)154 d)155

Solution:to make it 153 pieces we have to cut 152 times so obviously after last cut we got
153rd piece

2. A person has to make 146 pieces of a long bar. He takes 4 seconds to cut a piece. What is
the total time taken by him in seconds to make 146 pieces?
a) 584 b) 580 c) 730 d) 725

Solution: 146 pieces means 145 cuts so for each cut it takes 4 seconds means total time
145*4=580

3. A person has to make 141 pieces of a long bar. He takes 2 seconds to cut a piece. What is
the total time taken by him in seconds to make 141 pieces?
a) 560 b) 280 c) 112 d) 324

Pattern 20:

1. Spores of a fungus, called late blight, grow and spr ead infection rapidly. These pathogens
were responsible for the Irish potato famine of the mid-19th century. These seem to have
attacked the tomato crops in England this year. The tomato crops have reduced and the price
of the crop has risen up. The price has already gone up to $45 a box from $27 a box a month

ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over
what he would have paid last month?
a) $27 b) $18 c) $45 d) $486

Solution: See last 3 lines only answer is 45-27=18