GATE Practice Question and Answer
8Q: Fact 1: All hats have brims.Fact 2: There are black hats and blue hats.Fact 3: Baseball caps are hats. If the first three statements are facts, which of the following statements must also be a fact?I. All caps have brims.II. Some baseball caps are blue.III. Baseball caps have no brims. 1600 05b5cc6fee4d2b4197774f111
5b5cc6fee4d2b4197774f111- 1I onlyfalse
- 2II onlyfalse
- 3I, II, and IIIfalse
- 4None of the statements is a fact.true
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Answer : 4. "None of the statements is a fact."
Explanation :
Answer: D) None of the statements is a fact. Explanation: All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement IIIтАФbut it doesnтАЩt follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.
Q: Correct underlined words if necessary in the following sentence ? Have you been more careful, the accident could have been averted. 4383 05b5cc6fee4d2b4197774f107
5b5cc6fee4d2b4197774f107- 1Have you beenfalse
- 2If you have beenfalse
- 3Had you beentrue
- 4If you could have beenfalse
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Answer : 3. "Had you been"
Explanation :
Answer: C) Had you been Explanation: As the sentence talks about the past it is apt to say. 'Had you been more careful ...'.
Q: Essential Part for the given word from the following options. Respiration 3965 05b5cc6fee4d2b4197774f10c
5b5cc6fee4d2b4197774f10c- 1Oxygentrue
- 2Carbon monoxidefalse
- 3Mouthfalse
- 4Circulationfalse
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Answer : 1. "Oxygen"
Explanation :
Answer: A) Oxygen Explanation: A person or animal must take in oxygen for respiration to occur. A mouth (choice a) is not essential because breathing can occur through the nose. Choices b and d are clearly not essential and can be ruled out.
Q: Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ? 2268 05b5cc6fbe4d2b4197774f0f1
5b5cc6fbe4d2b4197774f0f1- 1Rs. 7500true
- 2Rs. 4520false
- 3Rs. 8750false
- 4Rs. 6350false
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Answer : 1. "Rs. 7500"
Explanation :
Answer: A) Rs. 7500 Explanation: Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3 B's share = 25000 x 3/10 = Rs. 7500.
Q: Can you find the next number in the sequence "0, 1, 4, 7, 8, 5, 2, 3, 6, 9, 9, 6, 3, 2, 5, 8, 7, 4, 1, 0, 0, тАж" ? 919 05b5cc6fbe4d2b4197774f0a9
5b5cc6fbe4d2b4197774f0a9- 10false
- 21true
- 34false
- 47false
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Answer : 2. "1"
Explanation :
Answer: B) 1 Explanation: The pattern follows the palindrome sequence. Here the digits 0 1 4 7 8 5 8 3 6 9 ┬а ┬а9 6 3 8 5 8 7 4 1 0 ┬а 0 1 4 7 ... So the next digit in the sequence is 1.
Q: The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 1520 05b5cc6fbe4d2b4197774f09f
5b5cc6fbe4d2b4197774f09f- 187true
- 281false
- 383false
- 485false
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Answer : 1. "87"
Explanation :
Answer: A) 87 Explanation: Cp1 = p2 - p1 , Cp2 = p3 - p2 ......Cp23 = p24 - p23Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)All terms get cancelled, except p1 = 2 and p24 = 89 So Sum = -p1 + p24Sum of series = -2 + 89 = 87
Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 2583 15b5cc6f8e4d2b4197774f081
5b5cc6f8e4d2b4197774f081- 1120 daysfalse
- 2119 daysfalse
- 3118 daysfalse
- 4117 daystrue
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Answer : 4. "117 days"
Explanation :
Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.
Q: How much does a clock lose per day, if its hands coincide ever 65 minutes ? 2070 05b5cc6f8e4d2b4197774f077
5b5cc6f8e4d2b4197774f077- 11440/143 minfalse
- 2184/13 minfalse
- 31425/18 mintrue
- 4541/9 minfalse
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Answer : 3. "1425/18 min"
Explanation :
Answer: C) 1425/18 min Explanation: 55 min. spaces are covered in 60 min.60 min. spaces are covered in ((60/55) x 60) min = 720/11 min.Loss in 65 min. = (720/11 - 65 ) = 5/11Loss in 24 hrs = (5/11 x 1/65 x 24 x 60)min = 1440/143 min.