GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: X can complete the work in 10 days, Y can do the same in 15 days. If they are hired for 5 days to do the work together, what is the work that left unfinished? 2029 05b5cc6bfe4d2b4197774da0a
5b5cc6bfe4d2b4197774da0a- 11/3false
- 22/3false
- 31/6true
- 45/6false
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उत्तर : 3. "1/6"
व्याख्या :
Answer: C) 1/6 Explanation: Given X can do in 10 days => 1 day work of X = 1/10 Y can do in 15 days => 1 day work of Y = 1/15 1day work of (X + Y) = 1/10 + 1/15 = 1/6 Given they are hired for 5 days => 5 days work of (X + Y) = 5 x 1/6 = 5/6 Therefore, Unfinished work = 1 - 5/6 = 1/6
प्र: If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ? 2027 05b5cc73ae4d2b4197774f8a1
5b5cc73ae4d2b4197774f8a1- 131/25false
- 215/17true
- 314/25false
- 411/16false
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उत्तर : 2. "15/17"
व्याख्या :
Answer: B) 15/17 Explanation: The original fraction is 2551 × 350+100150+100 = 15/17.
प्र: A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 2027 05b5cc6bbe4d2b4197774d85d
5b5cc6bbe4d2b4197774d85d- 128 cmfalse
- 23.5 cmfalse
- 37 cmfalse
- 414 cmtrue
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उत्तर : 4. "14 cm"
व्याख्या :
Answer: D) 14 cm Explanation: Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.
प्र: Find the next number in the given series 0.25, 8, 128, 1024, ? 2026 05b5cc6bce4d2b4197774d8b1
5b5cc6bce4d2b4197774d8b1- 14096true
- 22526false
- 38486false
- 42620false
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उत्तर : 1. "4096"
व्याख्या :
Answer: A) 4096 Explanation: Here given series follows a pattern that 0.25, 8, 128, 1024, ? 0.25 x 32 = 8 8 x 16 = 128 128 x 8 = 1024 1024 x 4 = 4096
प्र: Which of the following is the lightest metal? 2024 05b5cc6a1e4d2b4197774cae5
5b5cc6a1e4d2b4197774cae5- 1Lithiumtrue
- 2Silverfalse
- 3Mercuryfalse
- 4Leadfalse
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उत्तर : 1. "Lithium"
व्याख्या :
Answer: A) Lithium Explanation: Lithium is the lightest metal and the lightest solid element. It is a soft, silvery-white alkali metal. Under standard conditions. Like all alkali metals, lithium is highly reactive and flammable and is stored in mineral oil.
प्र: Which of the following is not soluble in water? 2023 05b5cc690e4d2b4197774c422
5b5cc690e4d2b4197774c422- 1copper(II) hydroxidetrue
- 2sodium chloridefalse
- 3silver nitratefalse
- 4potassium sulfatefalse
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उत्तर : 1. "copper(II) hydroxide"
व्याख्या :
Answer: A) copper(II) hydroxide Explanation: Sodium chloride: The solubility rules tell you that all halides are soluble with the exception of those formed with siver, mercury, and lead ions. Since this is not the case here, sodium chloride will be soluble. Silver nitrate: It is soluble because all nitrates are soluble, without exception. Potassium sulfate: It is soluble because all sulfates are soluble with the exception of those formed with silver, calcium, barium, mercury, lead, and strontium ions. Copper (II) hydroxyde: It is insoluble because all hydroxides are insoluble with the exception of those formed with alkali metal ions and barium.
प्र: Which of the following statements about Woodrow Wilson is true? 2021 05b5cc60de4d2b4197774b613
5b5cc60de4d2b4197774b613- 1He wanted to place strict government controls on corporations.true
- 2He overturned discriminatory laws against African Americans.false
- 3He advocated eliminating the income tax.false
- 4He opposed reforms to the banking system.false
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उत्तर : 1. "He wanted to place strict government controls on corporations."
व्याख्या :
Answer: A) He wanted to place strict government controls on corporations. Explanation: Woodrow Wilson was one of the major "Progressives" in American government and so 'He wanted to place strict government controls on corporations.'
प्र: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum ? 2019 05b5cc6e0e4d2b4197774eb61
5b5cc6e0e4d2b4197774eb61- 1Rs.8000false
- 2Rs.6500false
- 3Rs.7500true
- 4Rs.5000false
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उत्तर : 3. "Rs.7500"
व्याख्या :
Answer: C) Rs.7500 Explanation: p=d×1002R2 Where d is difference, r is rate of interest. => (48 x 100 x 100) / 8 x 8 = Rs.7500