L&t Infotech Placement Papers-2

Explanation
Company A rents 7 floors and company B rents 4 floors, which means a total of 11 floors are rented. Since the building has 16 floors in total, the number of unrented floors is 16 - 11 = 5. Each floor has an area of 12000 sq.feet, so the total number of unrented floor space is 5 * 12000 = 60000 sq.feet. Therefore, the correct answer is 60000.

Explanation
The programmer spends 1/4 of his time preparing flow chart and 3/8 of his time coding. This means he spends a total of 1/4 + 3/8 = 5/8 of his time on these two activities. The remaining time, which is 1 - 5/8 = 3/8, is spent on debugging the programs.

If the programmer works 48 hours during the week, he spends (3/8) * 48 = 18 hours debugging the programs.

Explanation
The company installed 36 machines at the beginning of the year. In March, they installed 9 additional machines, bringing the total to 45. However, in August, they disconnected 18 machines. To find the number of machines still installed at the end of the year, we subtract the disconnected machines from the total. 45 - 18 = 27. Therefore, there were 27 machines still installed at the end of the year.

Explanation
The man sells 3/4 of his shares for Rs. 75000. This means that the value of 1/4 of his shares is Rs. 75000. To find the value of his total shares, we can multiply the value of 1/4 of his shares by 4. Therefore, the value of his total shares is Rs. 75000 * 4 = Rs. 300000. Since he owns 2/3 of the business, we can calculate the total value of the business by dividing the value of his shares by 2/3. Thus, the value of the business is Rs. 300000 / (2/3) = Rs. 150000.

Explanation
If 12 file cabinets require 18 feet of wall space, it means that each cabinet requires 1.5 feet of wall space. To find out how many feet of wall space 30 cabinets will require, we can multiply the number of cabinets by the amount of wall space each cabinet requires. Therefore, 30 cabinets will require 45 feet of wall space.

Explanation
To find the number of lines printed per minute, we need to divide the total number of lines printed in a day (176,400) by the number of minutes in seven hours (420). This is because there are 60 minutes in an hour, so 7 hours is equal to 7 * 60 = 420 minutes. Therefore, the printer printed 176,400 / 420 = 420 lines per minute.

Explanation
The sales company spent Rs.20,000 on advertising, which is deducted from the total income. Then, half of the remaining amount is spent on commissions. The company is left with Rs.6000 after these expenses. Therefore, the remaining amount after advertising is Rs.6000 * 2 = Rs.12,000. Adding the amount spent on advertising, the total income of the company is Rs.12,000 + Rs.20,000 = Rs.32,000.

Explanation
On Monday, the banker processed a certain number of cheques. On Tuesday, she processed three times as many, which means she processed 3 times the number of cheques she processed on Monday. On Wednesday, she processed 4000 cheques. In total, she processed 16000 cheques over the three days. To find out how many cheques she processed on Tuesday, we subtract the number of cheques processed on Monday and Wednesday from the total. Therefore, she processed 16000 - 4000 - (the number processed on Monday) = 9000 cheques on Tuesday.

Explanation
Let the cost of one dozen proof machine ribbons be x.
Therefore, the cost of four dozen proof machine ribbons would be 4x.
The cost of one dozen accounting machine ribbons is given as Rs.20.
Therefore, the cost of five dozen accounting machine ribbons would be 5 * Rs.20 = Rs.100.
According to the given information, the total cost of four dozen proof machine ribbons and five dozen accounting machine ribbons is Rs.160.
Therefore, 4x + Rs.100 = Rs.160.
Simplifying the equation, we get 4x = Rs.60.
Dividing both sides by 4, we get x = Rs.15.
Hence, the cost of a dozen proof machine ribbons is Rs.15.

Explanation
If a clerk can process 80 cheques in half an hour, then in one hour she can process 2 times that amount, which is 160 cheques. In a seven and one half hour day, she can process 7.5 times that amount, which is 1200 cheques.

Explanation
Since there are two racks with 40 books each, the total number of books in the library is 2 * 40 = 80. On the given day, 30 books were issued, so the number of books remaining in the racks is 80 - 30 = 50. To find the fraction of books remaining, we divide the number of books remaining by the total number of books: 50/80 = 5/8. Therefore, the fraction of books remaining in the racks is 5/8.

Explanation
Since the average length of the three tapes is 6800 feet and none of the tapes is less than 6400 feet, the greatest possible length of one of the other tapes can be found by subtracting the length of the two known tapes (6400 feet each) from the average length (6800 feet). Therefore, the greatest possible length of one of the other tapes is 7600 feet.

Explanation
If the company rented the machine for 5 years at Rs. 700/month, the total cost of renting would be 700*12*5 = Rs. 42,000.

If the company had purchased the machine, the monthly maintenance charge would be Rs. 100.

Let the purchase price of the machine be x.

So, the total cost of purchasing and maintaining the machine for 5 years would be x + (100*12*5) = x + 6000.

According to the treasurer, the company would have saved Rs. 2000 if they had purchased the machine.

Therefore, we can write the equation as:

42,000 - (x + 6000) = 2000

Simplifying the equation, we get:

x = 42,000 - 6000 - 2000

x = 34,000

Hence, the purchase price of the machine is Rs. 34,000.

Explanation
The first computer printed bills at a rate of 9600 an hour, so it took 5 hours to print all 48000 bills. The second computer printed bills at a rate of 7800 an hour, so in the same 5 hours, it would have printed 39000 bills. Therefore, the second computer still had to print 9000 bills.

Explanation
The salesman has 24 weeks remaining to obtain new orders. He is currently 6 orders behind schedule, which means he needs to obtain 6 + 1 = 7 orders to break the record. In order to determine the proportion of the remaining weeks he needs to obtain a new order, we can set up the equation 7/24 = x/1, where x represents the number of weeks he needs to obtain a new order. Solving for x, we get x = 7/24. Therefore, the proportion of the remaining weeks he needs to obtain a new order is 7/24, which is equivalent to 3/4.

Explanation
On the given day, the bank had a total of 16,000 cheques returned by customers. The inspection of the first 800 cheques revealed that 100 of them had errors and were available immediately for data processing. Therefore, if we assume that the percentage of cheques with errors remains consistent throughout the entire set of 16,000 cheques, we can calculate the number of cheques available immediately for data processing using a proportion. The proportion can be set up as 100/800 = x/16,000, where x represents the number of cheques available immediately. Solving for x, we find that x = 2,000. Hence, there would be 14,000 cheques available immediately for data processing on that day.

Explanation
The computing centre normally spends 3/4 of Rs.1440 on heavy duty tapes, which is (3/4) * Rs.1440 = Rs.1080. The price reduction for heavy duty tapes is Rs.2 per reel. Therefore, the number of reels of heavy duty tape they can buy with Rs.1080 is Rs.1080 / Rs.2 = 540 reels. The price reduction for regular tapes is Rs.1 per reel. Therefore, the number of reels of regular tape they can buy with Rs.360 (Rs.1440 - Rs.1080) is Rs.360 / Rs.1 = 360 reels. The total number of reels they can buy under the new prices is 540 + 360 = 900 reels. The total savings per month under the new prices is (540 * 2) + (360 * 1) = Rs.1080 + Rs.360 = Rs.1440. The savings per month is Rs.1440 - Rs.1440 = Rs.0. Therefore, the correct answer is none of the above.

Explanation
To find the heavy ball among 6561 balls, we can use a strategy called ternary search. We divide the balls into three groups of equal size. We weigh two of these groups against each other. If one group is heavier, then the heavy ball is in that group. If they are equal, then the heavy ball is in the remaining group. We repeat this process with the chosen group until we find the heavy ball. Since we divide the balls into three groups each time, we can represent the number of weighings required as a power of 3. In this case, 3^8 = 6561, so 8 weighings are needed to find the heavy ball.

Explanation
The total number of loaves at the beginning can be found by working backwards from the final result. Since the 5th thief steals half the remaining number of loaves plus 1/2 loaf, we can determine that after the 5th thief, there were 1/2 loaf left. Working backwards, we can calculate that after the 4th thief, there were (1/2 + 1/2) * 2 = 2 loaves. Similarly, after the 3rd thief, there were (2 + 1/2) * 2 = 5 loaves. After the 2nd thief, there were (5 + 1/2) * 2 = 11 loaves. And after the 1st thief, there were (11 + 1/2) * 2 = 23 loaves. Therefore, the total number of loaves at the beginning was 23 + 1/2 = 31.

Explanation
If the person needs 6 steps to cover a distance of one slab, it means that each step covers a distance of 1/6 of the slab's length. When the person increases their step length by 3 inches, they now cover a distance of 1/5 of the slab's length with each step. Therefore, the difference between the two step lengths is 1/6 - 1/5 = 1/30 of the slab's length. Since this difference is equal to 3 inches, we can set up the equation (1/30)x = 3, where x is the length of the slab. Solving for x, we find that the length of each slab is 31 inches.