GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: After working for 8 days, Hari Ram finds that only 1/3 rd of the work has been done. He employs Satya who is 60% as efficient as Hari Ram. How many days more would Satya take to complete the work ? 1853 05b5cc6d3e4d2b4197774e4fa
5b5cc6d3e4d2b4197774e4fa- 124 1/2 daysfalse
- 225 3/2 daysfalse
- 324 2/3 daysfalse
- 426 2/3 daystrue
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उत्तर : 4. "26 2/3 days"
व्याख्या :
Answer: D) 26 2/3 days Explanation: 1/3 ---- 8 1 -------? Hari can do total work in = 24 days As satya is 60% efficient as Hari, then Satya = 1/24 x 60/100 = 1/40 => Satya can do total work in 40 days 1 ----- 40 2/3 ---- ? => 26 2/3 days.
प्र: The Value of logtan10+logtan20+⋯⋯+logtan890 is 1852 15b5cc7d0e4d2b41977751204
5b5cc7d0e4d2b41977751204- 1-1false
- 20true
- 31/2false
- 41false
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उत्तर : 2. "0"
व्याख्या :
Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450 = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1 ∵ tan(90-θ)=cotθ and tan 450=1 = log 1 + log 1 +.....+log 1 = 0.
प्र: Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ? 1851 05b5cc745e4d2b4197774fa1d
5b5cc745e4d2b4197774fa1d- 18/15false
- 27/15true
- 31/15false
- 44/15false
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उत्तर : 2. "7/15"
व्याख्या :
Answer: B) 7/15 Explanation: Given total students in the class = 60Students who are taking Economics = 24 andStudents who are taking Calculus = 32Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4Students who are taking calculus only = 32 - 4 = 28probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.
प्र: Mirage is an example of 1851 05b5cc6b0e4d2b4197774d2cb
5b5cc6b0e4d2b4197774d2cb- 1Reflection of light & Refraction of lightfalse
- 2Dispersion of lightfalse
- 3Total Internal Reflectionfalse
- 4Refraction of light & Total Internal Reflection of lighttrue
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उत्तर : 4. "Refraction of light & Total Internal Reflection of light"
व्याख्या :
Answer: D) Refraction of light & Total Internal Reflection of light Explanation: A Mirage is a naturally occurring optical phenomenon in which light rays bend to produce a displaced image of distant objects or the sky. It is caused due to Total internal Reflection. It is an optical illusion observed in deserts or hot summer days due to which a person sees a pond of water some distance ahead of him in which the surrounding objects appear inverted. How Mirage Forms:: 1. The temperature of other layers of atmosphere goes on decreasing as we go up.2. Therefore density and refractive index of air changes as one goes up.3. Thus a ray of light,gets refracted more and more away from the normal.4. At a particular angle when a ray of light exceeds critical angle, total internal reflection takes place and ray of light gets reflected in the same medium.5. when the reflected ray reaches our eye, it appears as coming from tree or sky .6. Hence the inverted image of tree creates an impression from a pond of water.
प्र: Find the greatest number that will divide 964, 1238 and 1400 leaving remainder of 41,31 and 51 respectively ? 1848 05b5cc745e4d2b4197774fa54
5b5cc745e4d2b4197774fa54- 164false
- 269false
- 371true
- 458false
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उत्तर : 3. "71"
व्याख्या :
Answer: C) 71 Explanation: To find the greatest number which divides the numbers 964, 1238 and 1400 leaving the remainders 41, 31 and 51 is nothing but the HCF of (964 - 41), (1238 - 31), (1400 - 51). Therefore, HCF of 923, 1207 and 1349 is 71.
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उत्तर :
व्याख्या :
1001 A N means 1001 Arabian Nights. These are same as 12 S of the Z, 64 S on a C, 19 C in CB, 8 S on SS, ...
प्र: According to experts what percentage of trash is recyclable? 1845 05b5cc68ee4d2b4197774c3ea
5b5cc68ee4d2b4197774c3ea- 116%false
- 236%false
- 372%false
- 490%true
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उत्तर : 4. "90%"
व्याख्या :
Answer: D) 90% Explanation:
प्र: A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ? 1845 15b5cc74ae4d2b4197774fa72
5b5cc74ae4d2b4197774fa72- 114.28 % profittrue
- 224.18 % profitfalse
- 314.28 % lossfalse
- 424.18 % lossfalse
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उत्तर : 1. "14.28 % profit"
व्याख्या :
Answer: A) 14.28 % profit Explanation: Let 1kg of Rs. 100 then 840gm is of Rs. 84.Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.] So now S.P = Rs. 96But actually it contains 840 gm so C.P for shopkeeper = Rs. 84S.P = Rs. 96C.P = Rs. 84Profit% = {(S.P-C.P)/C.P}x100{(96-84)/84} x 100 = 14.28571429% PROFIT.

