GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ? 4063 05b5cc6e9e4d2b4197774eded
5b5cc6e9e4d2b4197774eded- 1Rs. 500true
- 2Rs. 245false
- 3Rs. 1250false
- 4Rs. 635false
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उत्तर : 1. "Rs. 500"
व्याख्या :
Answer: A) Rs. 500 Explanation: (kx5x1)/100 + [(1500 - k)x6x1]/100 = 85 5k/100 + 90 – 6k/100 = 85 k/100 = 5 => k = 500
प्र: दी गई संख्या श्रंखला में से विषम को चुनिए? 21, 24, 33, 49, 74 49 4050 05b5cc604e4d2b4197774b4c9
5b5cc604e4d2b4197774b4c9- 121true
- 224false
- 333false
- 449false
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उत्तर : 1. "21"
व्याख्या :
Answer: A) 21 व्याख्या: दी गई संख्या श्रृंखला एक पैटर्न का अनुसरण करती है, 19 + 12 = 20 (21 नहीं) 20 + 22 = 2424 + 32 = 3333 + 42 = 4949 + 52 = 74 इसलिए, दी गई संख्या श्रृंखला में विषम संख्या 21 है।
प्र: Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes? 4029 05b5cc6afe4d2b4197774d1e2
5b5cc6afe4d2b4197774d1e2- 125 kgsfalse
- 230 kgsfalse
- 335 kgsfalse
- 440 kgstrue
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उत्तर : 4. "40 kgs"
व्याख्या :
Answer: D) 40 kgs Explanation: The fruit content in both the fresh fruit and dry fruit is the same. Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes => 60 x 40100 = p x 60100=> p = 40 kgs. Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.
प्र: Which is a green planet in the solar system? 4027 05b5cc6a2e4d2b4197774cb5b
5b5cc6a2e4d2b4197774cb5b- 1Plutofalse
- 2Venusfalse
- 3Uranustrue
- 4Marsfalse
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उत्तर : 3. "Uranus"
व्याख्या :
Answer: C) Uranus Explanation: Uranus is the seventh planet from the Sun which looks green color. It has the third-largest planetary radius and fourth-largest planetary mass in the Solar System. Uranus is similar in composition to Neptune, and both have different bulk chemical composition from that of the larger gas giants Jupiter and Saturn. Colors of other planets:: Mercury - Gray or slightly brownish Venus - Pale yellow Earth - Blue with white clouds Mars - Mostly reddish brown Jupiter - Orange and white bands Saturn - Pale gold Uranus - Green Neptune - Pale blue Pluto - Light brown
प्र: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current ? 4012 05b5cc6e2e4d2b4197774ec52
5b5cc6e2e4d2b4197774ec52- 11 kmphfalse
- 23.2 kmphfalse
- 31.5 kmphtrue
- 42 kmphfalse
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उत्तर : 3. "1.5 kmph"
व्याख्या :
Answer: C) 1.5 kmph Explanation: 72 --- 9 ? ---- 1 => Down Stream = 8 45 ---- 9 ? ---- 1 => Up Stream = 5 Speed od current S = ? S = (8 - 5)/2 = 1.5 kmph.
प्र: एक कक्षा में 60% छात्र अंग्रेजी में और 45% हिंदी में उत्तीर्ण होते हैं। यदि उनमें से 25% दोनों विषयों में उत्तीर्ण होते हैं, तो कितने प्रतिशत छात्र दोनों विषयों में अनुत्तीर्ण होते हैं? 4009 15b5cc601e4d2b4197774b440
5b5cc601e4d2b4197774b440- 120%true
- 225%false
- 330%false
- 415%false
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उत्तर : 1. "20%"
व्याख्या :
Answer: A) 20% स्पष्टीकरण: अंग्रेजी में उत्तीर्ण छात्रों का प्रतिशत = 60% हिंदी में उत्तीर्ण छात्रों का प्रतिशत = 45% दोनों विषयों में उत्तीर्ण छात्रों का प्रतिशत = 25% एटीक्यू, केवल अंग्रेजी में उत्तीर्ण छात्रों का प्रतिशत = 60 - 25 = 35% का प्रतिशत विद्यार्थी केवल हिंदी में उत्तीर्ण हुए = 45 - 25 = 20% इसलिए, अनुत्तीर्ण छात्रों का प्रतिशत = 100 - (35 + 25 + 20) = 100 - 80 = 20%।
प्र: A university library budget committee must reduce exactly five of eight areas of expenditure—I, J, K, L, M, N, O and P—in accordance with the following conditions: If both I and O are reduced, P is also reduced.If L is reduced, neither N nor O is reduced.If M is reduced, J is not reduced.Of the three areas J, K, and N exactly two are reduced. Question : If both K and N are reduced, which one of the following is a pair of areas neither of which could be reduced? 4006 05b5cc6b1e4d2b4197774d2f4
5b5cc6b1e4d2b4197774d2f4- 1I, Lfalse
- 2J, Ltrue
- 3J, Mfalse
- 4I, Jfalse
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उत्तर : 2. "J, L"
व्याख्या :
Answer: B) J, L Explanation: This question concerns a committee’s decision about which five of eight areas of expenditure to reduce. The question requires you to suppose that K and N are among the areas that are to be reduced, and then to determine which pair of areas could not also be among the five areas that are reduced. The fourth condition given in the passage on which this question is based requires that exactly two of K, N, and J are reduced. Since the question asks us to suppose that both K and N are reduced, we know that J must not be reduced: Reduced :: K, NNot reduced :: J The second condition requires that if L is reduced, neither N nor O is reduced. So L and N cannot both be reduced. Here, since N is reduced, we know that L cannot be. Thus, adding this to what we’ve determined so far, we know that J and L are a pair of areas that cannot both be reduced if both K and N are reduced: Reduced :: K, NNot reduced :: J, L Answer choice (B) is therefore the correct answer.
प्र: दो धनात्मक संख्याओं का अनुपात 3 : 5 है और संख्या का औसत 48 है। संख्याओं का गुणनफल क्या है? 3991 15b5cc607e4d2b4197774b558
5b5cc607e4d2b4197774b558- 13365false
- 22160true
- 31854false
- 41632false
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उत्तर : 2. "2160"
व्याख्या :
Answer: B) 2160 स्पष्टीकरण: माना संख्या 3p और 5p ATQ, 8p = 2 x 48 p = 96/8 p = 12 संख्याएँ 36 और 60 हैं। इसलिए, संख्याओं का गुणनफल = 36 x 60 = 2160।

