GATE Practice Question and Answer
8Q: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ? 2081 05b5cc6dfe4d2b4197774eb0c
5b5cc6dfe4d2b4197774eb0c- 1300false
- 2150true
- 3175false
- 4200false
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Answer : 2. "150"
Explanation :
Answer: B) 150 Explanation: Half of the cloth = 37.5/2 From 1 meter he will make 8 pieces=> in 37.5/2 ---- ? 37.5/2 x 8 = 150.
Q: Which fraction comes next in the sequence 23, 13, 527, 781, ? 2078 05b5cc758e4d2b4197774fbda
5b5cc758e4d2b4197774fbda- 11/27true
- 211/278false
- 39/48false
- 47/123false
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Answer : 1. "1/27"
Explanation :
Answer: A) 1/27 Explanation: Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...Then, the next term in the given sequence is 935 = 9243 = 127 .
Q: 25% of 25% Is Equal To 2078 05b5cc6bae4d2b4197774d78a
5b5cc6bae4d2b4197774d78a- 10.0625true
- 20.0210false
- 30.03145false
- 40.3210false
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Answer : 1. "0.0625"
Explanation :
Answer: A) 0.0625 Explanation: 25% of 25% means 25/100 of 25/100 i.e, 1/4 of 1/4 or in other words 1/4 x 1/4=1/16 Hence, the answer is 1/16 = 0.0625.
Q: When Ankith saw Sanvi, he recalled, " She is the daughter of the father of my daughter's mother." Who is Sanvi to Ankit ? 2077 05b5cc758e4d2b4197774fbef
5b5cc758e4d2b4197774fbef- 1sisterfalse
- 2daughter-in-lawfalse
- 3sister-in-lawtrue
- 4cousinfalse
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Answer : 3. "sister-in-law"
Explanation :
Answer: C) sister-in-law Explanation: Ankit's daughter's mother---Ankit's wife; Ankit's wife's father---Ankit's father-in-law;Father-in-law's daughter--- Ankit's sister-in-law. So, Sanvi is sister-in-law of Ankit.
Q: A boat takes 2 hours to travel from point A to B in still water. To find out its speed upstream, which of the following information is/are required? A. Distance between point A and B. B. Time taken to travel downstream from B to A. C. Speed of the stream of water. 2074 05b5cc69fe4d2b4197774c9f1
5b5cc69fe4d2b4197774c9f1- 1Only A and Bfalse
- 2Only B and Cfalse
- 3All are requiredfalse
- 4Any one pair of A and B, B and C or C and A is sufficienttrue
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Answer : 4. "Any one pair of A and B, B and C or C and A is sufficient"
Explanation :
Answer: D) Any one pair of A and B, B and C or C and A is sufficient Explanation: Let distance between A & B = d kmLet speed in still water = x kmphLet speed of current = y kmph from the given data,d/x = 2 From A) we get dFrom B) we get d/x+yFrom C) we get y So, Any one pair of A and B, B and C or C and A is sufficient to give the answer i.e, the speed of upstream.
Q: If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ? 2073 05b5cc6c7e4d2b4197774de87
5b5cc6c7e4d2b4197774de87- 10false
- 21false
- 32false
- 43true
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Answer : 4. "3"
Explanation :
Answer: D) 3 Explanation: Here 5, 7 & 9 are repeating after modulation.
Q: The sum of three consecutive multiples of 3 is 72. What is the second largest number ? 2072 05b5cc6d8e4d2b4197774e7ba
5b5cc6d8e4d2b4197774e7ba- 127false
- 224true
- 321false
- 442false
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Answer : 2. "24"
Explanation :
Answer: B) 24 Explanation: Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27. => Second largest number = 27 - 3 = 24
Q: Which of the following is the strongest base? 2070 05b5cc69fe4d2b4197774c9c8
5b5cc69fe4d2b4197774c9c8- 1LiCH3true
- 2LiFfalse
- 3LiOHfalse
- 4LiNH2false
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Answer : 1. "LiCH3"
Explanation :
Answer: A) LiCH3 Explanation: The stability of the ions is determined by the energy of the lone pairs. Carbon has the least effective nuclear charge (Zeff) and so the lone pair on the CH3− ion has the highest energy, making it the least stable ion and so the strongest base. The Zeff increases as we move across the period until we get to fluorine which has the greatest Zeff and so its lone pairs have the lowest energy, making F− the least basic ion. In order of decreasing basicity they are ranked LiCH3 > LiNH2 > LiOH > LiF. We are dealing with the ions F−, OH−, NH2− and CH3− and so the factor which influences their basicity is the stability of the ion compared to its conjugate acid.