GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: If selling price is doubled, the profit triples. Find the profit percent ? 2076 05b5cc723e4d2b4197774f6af
5b5cc723e4d2b4197774f6af- 1100%true
- 2200%false
- 3300%false
- 4400%false
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उत्तर : 1. "100%"
व्याख्या :
Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%
प्र: 25% of 25% Is Equal To 2072 05b5cc6bae4d2b4197774d78a
5b5cc6bae4d2b4197774d78a- 10.0625true
- 20.0210false
- 30.03145false
- 40.3210false
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उत्तर : 1. "0.0625"
व्याख्या :
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.
प्र: Which fraction comes next in the sequence 23, 13, 527, 781, ? 2072 05b5cc758e4d2b4197774fbda
5b5cc758e4d2b4197774fbda- 11/27true
- 211/278false
- 39/48false
- 47/123false
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उत्तर : 1. "1/27"
व्याख्या :
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 .
प्र: When Ankith saw Sanvi, he recalled, " She is the daughter of the father of my daughter's mother." Who is Sanvi to Ankit ? 2070 05b5cc758e4d2b4197774fbef
5b5cc758e4d2b4197774fbef- 1sisterfalse
- 2daughter-in-lawfalse
- 3sister-in-lawtrue
- 4cousinfalse
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उत्तर : 3. "sister-in-law"
व्याख्या :
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.
प्र: 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. 2068 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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उत्तर : 4. "Any one pair of A and B, B and C or C and A is sufficient"
व्याख्या :
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.
प्र: Which of the following is the strongest base? 2063 05b5cc69fe4d2b4197774c9c8
5b5cc69fe4d2b4197774c9c8- 1LiCH3true
- 2LiFfalse
- 3LiOHfalse
- 4LiNH2false
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उत्तर : 1. "LiCH3"
व्याख्या :
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.
प्र: 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 ? 2062 05b5cc6c7e4d2b4197774de87
5b5cc6c7e4d2b4197774de87- 10false
- 21false
- 32false
- 43true
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उत्तर : 4. "3"
व्याख्या :
Answer: D) 3 Explanation: Here 5, 7 & 9 are repeating after modulation.
प्र: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ? 2061 05b5cc74ae4d2b4197774fad1
5b5cc74ae4d2b4197774fad1- 11 : 2 : 3false
- 22 : 3 : 4true
- 33: 4 : 5false
- 44 : 5 : 6false
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उत्तर : 2. "2 : 3 : 4"
व्याख्या :
Answer: B) 2 : 3 : 4 Explanation: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x. There is a proposal to increase these seats by 40%, 50% and 75% respectively. Then Seats for Mathematics, Physics and Biology in a school will be 1.4 X 5x, 1.5 X 7x and 1.75 X 8x and ratio will be 7 : 10.5 : 14 => 2:3:4.