TCS Training Test

Two types of steel are available. Type A contains 5% of nickel and type B contains 40% of nickel. How much of each type be mixed to obtain 140 tonnes of steel containing 30% of nickel?

A vessel of capacity 2 litre has 25% alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of mixture?
a) b) c) d)

A three digit non-zero number 'abc' in base 5, when converted to base 7, becomes 'cba'. Which of the following is necessarily true?

A rabit takes 22 leaps for every 17 leaps of cat and 22 leaps of a rabit are equal to 17 leaps of the cat. What is the ratio of the speeds of rabit and cat?
a )1:1 b) 484:289 c) 17:22 d) none of these

Evaluate
(343×343×343-113×113×113)/(343×343+343×113+113×113) = ?

If the code of DISTANCE is IDTUBECN, then what is the code of THURSDAY ?

Kaushalya can do a work in 20 days, while Kaikeyi can do the same work in 25 days. They started the work jointly. Few days later Sumitra also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs. 700. What is the share of Sumitra?

7 Indian and 4 Chinese finish a job in 5 days. 7 Japanese and 3 Chinese finish the same job in 7 days. Given that the efficiency of each person of a particular nationality is same but different from others. One Indian, one Chinese and one Japanese will complete the work in:

Q1. What least number must be added to 1056, so that the sum is completely divisible by 23 ?

Poonam said to her friend, “Yesterday I attended the birthday party of the son of the only son-in-law of my mother’s mother.” How is Poonam related to the man, whose birthday party she attended?

The unit digit of the following expression
(1 !)^99 + (2!)^98 + (3!)^97 + (4!)^96 + ... ….. + (99!)^1 is:

There are two investment schemes offered by two different financial institutions X and Y as follows Scheme X: Rate of interest = 10% per annum and period of maturity = 2 years.
Amount is returned with compound interest compounded annually.
Scheme Y: Rate of interest = 11% per annum amount is returned with simple interest.
For what duration, should I invest Rs. 25,000 in scheme Y, so as to get same amount in return if I had invested in scheme X?

Find next term in the series 4, 7, 12, 19, 28, ? , 52, 67

Find the remainder when 77777..... (upto 37 digits) is divided by 19.

The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

A river flows west to east and on the way turns left and goes in a semi-circle round hillock, and turns left at right angle. In which direction is the river finally flowing ?

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

In a call centre at New Delhi, it is observed that it gets a call at a interval of every 10 minutes from California, at every 12 minutes from Texas, at the interval of 20 minutes from Washington DC and after every 25 minutes it gets the call from London. If in the early morning at 5 : 00 a.m. it has received the calls simultaneously from all the four destinations, then at which time it will receive the calls at a time from all the places on the same day?

If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number :

. In a certain code ‘975’ means ‘Throw away garbage’, ‘528’ means ‘Give away smoking’ and ‘213’ means ‘Smoking is harmful’. Which digit in that code means ‘Smoking’ ?

Read the passage below and solve the questions based on it.
A shop has the following discount layers
1st layer – Buy 1, get 2 free.
2nd layer – Buy 2, get 3 free.
3rd layer – Buy 3, get 4 free.
And so on there are infinite layers on the same pattern.

For how many of these discount layers discount percentage offered is more than 50%?

If the price of petrol increases by 25% and Benson intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?

Two trains start from the same point simultaneously and in the same direction. The first train travels at 40km/h and speed of the second train is 25% more than the speed of the first train. Thirty minutes later, a third train starts from the same point and in the same direction. It overtakes the second train 90 minute later than it overtook the first train. What is the speed of third train?

If in a certain code ORGANISE is written as BHSPDRHM. How will DESTINED be written in the same code ?

Evaluate 1904 x 1904 = ?

d) 3623436

The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months. Find the age of the teacher.

The base of a pyramid is a rectangle 40 m long and 20 m wide. The slant height of the pyramid from the mid-point of the shorter side of the base to the apex is 29m. What is the volume of pyramid?

There are twice the number of two wheelers as there are three wheelers and the number of 4 wheelers are equal to the number of two wheelers. The average number of wheel per vehicle is:

Kajol went to a fruit market with a certain amount of money. With the money she has, she can buy either 40 apples or 70 mangoes. She returns 15% of her money for auto fare. If she buys 35 mangoes, how many more apples can she buy?

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?