TCS Questions - 9

TCS Questions - 9

1.    1.  The price of a candy bar is $1.00. The price of a ten pack of the same candy bar is $7.40. The ten pack candy bar is what percentage cheaper than purchasing ten candy bars individually?

a)      18%                b) 26%                  c)   32%                 d)  48%                 e)  The prices are same.

Ans:  (b)

The cost of 10 pack candy bar is $7.40

The cost of ten candy bar purchased separately $1.00 x 10 = $10.00

Thus he saving is $2.60. Percentage of saving is  ($2.60 x 100) / $10.00 =  26%

2.       Using the digits 1, 3, 4 and 6 arrive at the value of 24 using any mathematical functions other than BODMAS rule.

Ans:     - [ (6) / { (3/4) – 1 } ] = 24

3.       Choose the pair that best represents a similar relationship to the on expressed in bold letters:

FERAL : TAME   

a)      Rancid : rational        b)  repetitive : recurrent      c) nettlesome : annoying

d)    ephemeral : immortal

Ans:  (d)  Feral and Tame are antonyms and ephemeral and immortal are antonyms.

4.       An empty tank is filled with an inlet pipe A that can fill the tank in 42 minutes. After 12 minutes another outlet pipe B that can empty the full tank in 30 minutes is opened. After 6 minutes another inlet pipe C which can fill the tank in 35 minutes and the tank is filled. What is the total time taken to fill the tank? 

Ans:  40.5 minutes

Pipe A continues to fill for initial 12 minutes plus further 6 minutes when Pipe B is open.

Thus Pipe during the 18 minutes fills 18/42 or 3/7 of the tank.

Pipe B during the 6 minutes, drain 6/30 or 1/5 of the filled tank.

The water in the tank now is 3/7 – 1/5 = 8/35.

The remaining capacity of the tank is 1 – 8/35 = 27/35

This has to be filled by all the three pipes where Pipes A and C fills and Pipe B drains.

The quantum filled by all the three pipes now in one minute is

1/42 + 1/35 – 1/30 =  28/210

Hence the time taken to fill the remaining tank will be (27/35) / (28/210) = 40.5 minutes

5.       A scientist was doing an experiment on bacteria. Yesterday at 3.00 p.m. he observed that there were 1000 bacteria and at 5.00 p.m. yesterday he noted them to be 4000. How many bacteria would have been there at 8.00 p.m. yesterday?

a)      8000               b) 32000               c) 16000                d) 12000

Ans: (b)

At 3.00 p.m. the number of bacteria was 1000 and at 5.00 p.m. they were 4000. In other words, the bacteria were doubling itself every hour. Thus we have the following figures.

At 3.00 p.m.       1000

At 4.00 p.m.       2000

AT 5.00 P.m.      4000

AT 6.00 p.m.      8000

At 7.00 p.m.     16000

At 8.00 p.m.     32000

6.       The original price of a car was $27,800. Anticipating good demand for the car the owner jacked up the price of the car to 120% of its original price and put it for sale. As there were no buyers even after one week, he allowed a discount of 30% on the marked price and sold the car. At what price did he sell the car?

a)      $33,600         b)   $10,008         c)   $27,800          d) $23,352

Ans: (d)

The purchase price was $ 27,800      

Marked up price 120% of the purchase price ---- $33,360

Discount allowed 30% on the marked price -----  $10,008

Sale price of the car                                          ------ $23,352

7.       A reputed Dollar store with 3700 stores across the US announced that there was an increase of 3% in transactions over the previous year’s figure of 20 million. If the company had made $ 19 million profit this year, then what is the average profit per store?

a)      $0.51 thousand         b)  $7.03 thousand           c)  $15.41 thousand         d) $5.14 thousand

Ans:  (d)

There was other unwanted information in this question. To answer this question the two information namely the total profit earned and the number of branches would do.

Profit earned $19,000,000 divided by Number of stores 3700 will give a value $5.135 thousand rounded to $5.14 thousand.

8.       A cyclist buys a cycle for 40 pounds and pays with a cheque for 57 pounds. The seller changes the cheque with the neighbour and returns the change of 17 pounds and delivers the cycle. The cheque was dishonoured and the seller was forced to pay his neighbour the amount of the cheque. If the purchase price of the cycle was only 7 pounds, then what was the amount of the loss incurred by the seller of the cycle?

a)      57 pounds                   b)  24 pounds                     c)  47 pounds        d)  7 pounds

Ans (b)

The seller changed the cheque for 57 pounds and when it was dishonoured, the transaction turned out to be one where the seller had borrowed 57 pounds from his neighbour. Hence, when he paid back the amount to the neighbour he was in fact returning the money borrowed. Hence in this transaction there is no loss or gain.

As for the buyer, the seller gave him 17 pounds and also the cycle that he bought for 7 pounds. These two are the actual loss incurred by the seller and the same is

17 pounds + 7 pounds = 24 pounds.

9.       There are six periods in a day in a school and five subjects are to be arranged. In how many ways this can be done?

Ans: 3600

The five subjects can be arranged in six periods in 6P5 ways. We now have one extra period. The five subjects can be arranged in this period in 5 ways. Thus we have an answer

6P5 * 5C1 = 6*5*4*3*2*5 = 3600 ways.

10.   The length and breadth of a rectangular field is 400ft and 300ft respectively. In this field there are ants sitting at the rate of 3 ants per every square inch of the field. Find approximately the number of ants in the entire field?

Ans:  3 * 17280000 ants.

The length and breadth expressed in inches are 4800 and 3600 respectively.

Thus the area of the field in square inches is 4800 + 3600 = 17280000 sq. inches.

There are 3 ants in each sq. inch of the field.

Hence the total number of ants in the field are  3 * 17280000

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