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The real root of the equation 5x − 2cosx −1 = 0 (up to two decimal accuracy) is ____. (Gate mechanical engineering 2014)1 AnswerA diesel engine has a compression ratio of 17 and cut-off take place at 10% of the stroke. Assuming ratio of specific heats ( γ ) as 1.4, the air-standard efficiency (in percent) is______. (Gate mechanical engineering 2014)1 AnswerIn a mouse genome, the numbers of functional Vα, Jα, Dβ, Jβ gene segments are 79, 38, 21, 2 and 11, respectively. The total number of possible combination for αβ T cell receptors are ______ x106 . (-Gate Biotechnology 2014 question paper)1 AnswerConsider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to the exciting force is:1 AnswerConsider a population of 10,000 individuals, of which 2500 are homozygotes (PP) and 3000 are heterozygotes (Pp) genotype. The frequency of allele p in the population is ________. (- Gate Biotechnology 2014 question paper)1 AnswerThe degree of reduction of ethanol is ________. (-Gate Biotechnology 2014 question paper)1 AnswerA cylindrical blind riser with diameter d and height h, is placed on the top of the mold cavity of a closed type sand mold as shown in the figure. If the riser is of constant volume, then the rate of solidification in the riser is the least when the 1 AnswerIn any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ______ years. (-Gate Biotechnology 2014 question paper: Ge1 AnswerIn an affine gap penalty model, if the gap opening penalty is -20, gap extension penalty is -4 and gap length is 8, the gap score is? (-Gate Biotechnology 2014 question paper)1 AnswerA manufacturer can produce 12000 bearings per day. The manufacturer received an order of 8000 bearings per day from a customer. The cost of holding a bearing in stock is Rs.0.20 per month. Setup cost per production run is Rs.500. Assuming 300 working1 AnswerGear 2 rotates at 1200 rpm in counter clockwise direction and engages with Gear 3. Gear 3 and Gear 4 are mounted on the same shaft. Gear 5 engages with Gear 4. The numbers of teeth on Gears 2, 3, 4 and 5 are 20, 40, 15 and 30, respectively. The angul1 AnswerThe hot tearing in a metal casting is due to: (Gate mechanical 2014 question paper)1 AnswerMetal content (in metric tonnes) of an ore having specific gravity and assay values of 2.86 and 1.49 % respectively in a mining block 40 m long, 30 m wide and with an average thickness of 2.13 m is _______. (-Gate geology and geophysics 2014)1 AnswerLet G be a group with 15 elements. Let L be a subgroup of G. It is known that L (not equal to) G and that the size of L is at least 4. The size of L is _______. - Gate Computer Science 20141 AnswerIf (𝑧 + 1/𝑧)^2 = 98, compute (𝑧^2 + 1/𝑧^2). - Gate Computer Science 20141 AnswerChoose the most appropriate word from the options given below to complete the following sentence. (-Gate Biotechnology 2014 question paper: General Aptitude question)1 AnswerWhat is the theoretical requirement of air (in m3 at STP) for the complete combustion of 100 m3 (at STP) of a fuel consisting of pure CH4? Assume that air contains 21 vol.% of oxygen. _____. (-Gate metallurgical engineering 2014)1 AnswerA system contains three programs and each requires three tape units for its operation. The minimum number of tape units which the system must have such that deadlocks never arise is _________. (Gate Computer Science 2014)1 AnswerChoose the most appropriate word from the options given below to complete the following sentence. (-Gate Biotechnology 2014 question paper: General Aptitude question)1 AnswerThe damping ratio of a single degree of freedom spring-mass-damper system with mass of 1 kg, stiffness 100 N/m and viscous damping coefficient of 25 N.s/m is _____.1 Answer