GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? 2441 05b5cc74ae4d2b4197774fa9f
5b5cc74ae4d2b4197774fa9f- 1Rs. 404false
- 2Rs. 514false
- 3Rs. 340false
- 4Rs. 616true
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उत्तर : 4. "Rs. 616"
व्याख्या :
Answer: D) Rs. 616 Explanation: Let the average expenditure per head be Rs. pNow, the expenditure of the mess for old students is Rs. 44pAfter joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33Therefore, 59(p-3) = 44p + 3359p - 177 = 44p + 3315p = 210 => p = 14Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.
प्र: At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ? 2440 05b5cc6cde4d2b4197774e1cc
5b5cc6cde4d2b4197774e1cc- 15%true
- 26%false
- 34%false
- 43%false
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उत्तर : 1. "5%"
व्याख्या :
Answer: A) 5% Explanation: Given compound interest for 3 years = Rs. 1513.2 and simple interest for 5 years = Rs. 2400 Now, we know that C.I = P1+R100n - 1 => 1513.2 = P1+R1003 - 1 ...........(A) And S.I = PTR/100 => 2400 = P5R/100 ..................(B) By solving (A) & (B), we get R = 5%.
प्र: Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ? 2437 05b5cc6dce4d2b4197774e992
5b5cc6dce4d2b4197774e992- 11102 kmfalse
- 21060 kmfalse
- 3960 kmtrue
- 41250 kmfalse
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उत्तर : 3. "960 km"
व्याख्या :
Answer: C) 960 km Explanation: 60(x + 1) = 64x X = 15 60 x 16 = 960 km
प्र: In the following options, select the one which is different from the other three ? 2435 05b5cc6c1e4d2b4197774db32
5b5cc6c1e4d2b4197774db32- 1Concentrationfalse
- 2Concoursefalse
- 3Radiationtrue
- 4Confluencefalse
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उत्तर : 3. "Radiation"
व्याख्या :
Answer: C) Radiation Explanation: Radiation shows the property of spreading while the rest three shows concentration at a point.
प्र: System Study involves 2435 05b5cc69be4d2b4197774c7d9
5b5cc69be4d2b4197774c7d9- 1documenting the existing systemfalse
- 2identifying current deficiencies and establishing new goalsfalse
- 3study of an existing systemfalse
- 4All the abovetrue
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उत्तर : 4. "All the above"
व्याख्या :
Answer: D) All the above Explanation:
प्र: 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 ? 2431 05b5cc6fbe4d2b4197774f0f1
5b5cc6fbe4d2b4197774f0f1- 1Rs. 7500true
- 2Rs. 4520false
- 3Rs. 8750false
- 4Rs. 6350false
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उत्तर : 1. "Rs. 7500"
व्याख्या :
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.
प्र: One New York publisher has estimated that 50,000 to 60,000 people in the United States want an anthology that includes the complete works of William Shakespeare. And what accounts for this renewed interest in Shakespeare? As scholars point out, his psychological insights into both male and female characters are amazing even today. This paragraph best supports the statement thatA. Shakespeare's characters are more interesting than fictional characters today.B. people even today are interested in Shakespeare's work because of the characters.C. academic scholars are putting together an anthology of Shakespeare's work.D. New Yorkers have a renewed interested in the work of Shakespeare.E. Shakespeare was a psychiatrist as well as a playwright. 2430 05b5cc728e4d2b4197774f6fb
5b5cc728e4d2b4197774f6fb- 1Afalse
- 2Btrue
- 3Cfalse
- 4Dfalse
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उत्तर : 2. "B"
व्याख्या :
Answer: B) B Explanation: The last sentence in the paragraph clearly gives support for the idea that the interest in Shakespeare is due to the development of his characters. Choice a is incorrect because the writer never makes this type of comparison. Choice c is wrong because even though scholars are mentioned in the paragraph, there is no indication that the scholars are compiling the anthology. Choice d is wrong because there is no support to show that most New Yorkers are interested in this work. There is no support for choice e either.
प्र: What Does My Name Mean, If my Mother is a Mathematician, and my Father is a Chemist. And they gave a Code to My Name as "Iron59". Crack my Name? 2428 05b5cc6ace4d2b4197774d07c
5b5cc6ace4d2b4197774d07c- 1Elixfalse
- 2Alexfalse
- 3Selixfalse
- 4Felixtrue
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उत्तर : 4. "Felix"
व्याख्या :
Answer: D) Felix Explanation: Here my name "Iron59" means Felix. Since my father is a chemist he gave code Iron for Fe as chemical symbol for Iron is Fe and my mother is a mathematician she gave 59 for Lix as Roman word for 59 is Lix. Hence my name is FELIX.