GATE Practice Question and Answer
8Q: Second & fourth Saturdays and every Sunday is a holiday. How many working days will be there in a month of 31 days beginning on a Friday ? 1545 05b5cc6d0e4d2b4197774e338
5b5cc6d0e4d2b4197774e338- 124true
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Answer : 1. "24"
Explanation :
Answer: A) 24 Explanation: Given that the month begins on a Friday and has 31 days Sundays = 3rd, 10th, 17th, 24th, 31st=> Total Sundays = 5 Every second & fourth Saturday is holiday. 2nd & 4th Saturday in every month = 2 Total days in the month = 31 Total working days = 31 - (5 + 2) = 24 days.
Q: Can you Solve the Problem ? 1473 05b5cc6cfe4d2b4197774e337
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Answer :
Explanation :
Let the two digits be x & y From given data in the question, we get x + y = 3(x - y) x + y = 3x - 3y => 2x = 4y x/y = 2/1 For having the 2:1, numbers satisfying are 12, 21, 24, 42, 36, 63, 48, 84 From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares. Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.
Q: Manju borrows Rs.5000 for 2 years at 4% p.a. simple interest from Sudha. She immediately lends it to another person at 6 1⁄4% p.a for 2 years. Find her gain in the transaction per year. 1219 05b5cc6cfe4d2b4197774e332
5b5cc6cfe4d2b4197774e332- 1Rs. 101false
- 2Rs. 98.5false
- 3Rs. 124.3false
- 4Rs. 112.5true
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Answer : 4. "Rs. 112.5"
Explanation :
Answer: D) Rs. 112.5 Explanation: Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest She also lends it at 6 1⁄4% p.a for 2 years => Total Gain = 6 1/4% − 4% = 2 1/4% So her gain in the transaction for 1 year = The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum = PTR100=5000×94×1100 = Rs. 112.5/ year.
Q: K can lay Highway road between two cities in 16 days. L can do the same job in 12 days. With the help of M, they completes the job in 4 days. How much days does it take for M alone to complete the work ? 1482 05b5cc6cfe4d2b4197774e32d
5b5cc6cfe4d2b4197774e32d- 147/7 daysfalse
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- 348/5 daystrue
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Answer : 3. "48/5 days"
Explanation :
Answer: C) 48/5 days Explanation: Amount of work K can do in 1 day = 1/16 Amount of work L can do in 1 day = 1/12 Amount of work K, L and M can together do in 1 day = 1/4 Amount of work M can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 => Hence M can do the job on 48/5 days = 9 (3/5) days
Q: The angle between the minute hand and the hour hand of a clock when the time is 4.15 is 1372 05b5cc6cfe4d2b4197774e328
5b5cc6cfe4d2b4197774e328- 10false
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Answer : 2. "37.5"
Explanation :
Answer: B) 37.5 Explanation: Angle between hands of a clock When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock => 30H-M5+M2 degrees Here H = 4, M = 15 and the minute hand is behind the hour hand. Hence the angle = 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees
Q: An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ? 1470 05b5cc6cfe4d2b4197774e308
5b5cc6cfe4d2b4197774e308- 12000true
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Answer : 1. "2000"
Explanation :
Answer: A) 2000 Explanation: Let 's' be the number of small packets and 'b' the number of large packets sold on that day. Therefore, s + b = 5000 ... eqn (1) Each small packet was sold for Rs.150.Therefore, 's' small packets would have fetched Rs.150s. Each large packets was sold for Rs.250.Therefore, 'b' large packets would have fetched Rs.250b. Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given) Or 150s + 250b = 10,50,000 ... eqn (2) Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3) Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000Or b = 3000 We know that s + b = 5000So, s = 5000 - b = 5000 - 3000 = 2000. 2000 small packets were sold.
Q: A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ? 1160 05b5cc6cfe4d2b4197774e2fe
5b5cc6cfe4d2b4197774e2fe- 13false
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Answer : 3. "9"
Explanation :
Answer: C) 9 Explanation: The mother completes the job in x hours.So, the daughter will take 2x hours to complete the same job. In an hour, the mother will complete 1/x of the total job.In an hour, the daughter will complete 1/2x of the total job. So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.i.e., in an hour they will complete 3/2x of the job. The question states that they complete the entire task in 6 hours if they work together.i.e., they complete 1/6 th of the task in an hour. Equating the two information, we get 3/2x = 1/6By solving for x, we get 2x = 18 or x = 9. The mother takes 9 hours to complete the job.
Q: 36 identical books must be arranged in rows with the same number of books in each row. Each row must contain at least three books and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible ? 1267 05b5cc6cfe4d2b4197774e2f4
5b5cc6cfe4d2b4197774e2f4- 15true
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Answer : 1. "5"
Explanation :
Answer: A) 5 Explanation: The following arrangements satisfy all 3 conditions. Arrangement 1: 3 books in a row; 12 rows. Arrangement 2: 4 books in a row; 9 rows.Arrangement 3: 6 books in a row; 6 rows.Arrangement 4: 9 books in a row; 4 rows.Arrangement 5: 12 books in a row; 3 rows. Therefore, the possible arrangements are 5.

