GATE ME-1 Thanks For Submitting Your Details. You Can Start Your Test Now!! Name Mobile No. Email Id City State Country Course Q1 Which of the following is CORRECT with respect to grammar and usage? Mount Everest is ______. (A) the highest peak in the world (B) highest peak in the world (C) one of highest peak in the world (D) one of the highest peak in the world Q2 The policeman asked the victim of a theft, “What did you ?” (A) loose (B) lose (C) loss (D) louse Q3.Despite the new medicine’s diabetes, it is not widely. (A) effectiveness - prescribed (B) availability - used (C) prescription - available (D) acceptance - proscribed Q4 In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile contains a total of 5692000 fruits, how many of them are apples? (A) 2029198 (B) 2467482 (C) 2789080 (D) 3577422 Q5.Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place? (A) 3.00 (B) 4.99 (C) 6.02 (D) 7.01 Q6.A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease? (A) 15 (B) 33 (C) 35 (D) 37 Q7.In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. However, the events of the last week proved him wrong. Which of the following inference(s) is/are logically valid and can be inferred from the above passage? His friends were always asking him to help He felt that when in need of help, his friends would let him He was sure that his friends would help him when in His friends did not help him last (A) (i) and (ii) (B) (iii) and (iv) (C) (iii) only (D) (iv) only Q8 Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements must be True based on the above? (A) When Shiva plays chess with Leela and Pavithra, he often loses. (B) Leela is the oldest of the three. (C) Shiva is a better chess player than Pavithra. (D) Pavithra is the youngest of the three. Q9.if q−a = 1 and r−b = 1 and S−c = 1 , the value of abc is (A) rqs -1 (B) 0 (C) 1 (D) r + q + s Q10 P,Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project? (A) 10:11 (B) 11:10 (C) 20:21 (D) 21:20 Q11. “Going by the _ that many hands make light work, the school involved all the students in the task.” The words that best fill the blanks in the above sentence are (A) principle, principal (B) principal, principle (C) principle, principle (D) principal, principal Q12. “Her should not be confused with miserliness; she is ever willing to assist those in need.” The word that best fills the blank in the above sentence is (A) cleanliness (B) punctuality (C) frugality (D) greatness Q13. Seven machines take 7 minutes to make 7 identical toys. At the same rate, how many minutes would it take for 100 machines to make 100 toys? (A) 1 (B) 7 (C) 100 (D) 700 Q14. A rectangle becomes a square when its length and breadth are reduced by 10 m and 5 m, respectively. During this process, the rectangle loses 650 m2 of area. What is the area of the original rectangle in square meters? (A) 1125 (B) 2250 (C) 2924 (D) 4500 Q15. A number consists of two digits. The sum of the digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? (A) 63 (B) 72 (C) 81 (D) 90 (A) -3 and 3 (B) -1 and 1 (C) -1 and 3 (D) 1 and 3 Q18. From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively? (A) 210 and 140 (B) 162.5 and 187.5 (C) 245 and 130 (D) 175 and 200 Q19. Which of the following functions describe the graph shown in the below figure? Q20. Consider the following three statements: Some roses are All red flowers fade Some roses fade Which of the following statements can be logically inferred from the above statements? (A) If (i) is true and (ii) is false, then (iii) is false. (B) If (i) is true and (ii) is false, then (iii) is true. (C) If (i) and (ii) are true, then (iii) is true. (D) If (i) and (ii) are false, then (iii) is false. Q21. Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is (A) 1/72 (B) 1/55 (C) 1/36 (D) 1/27 Q22. According to the Mean Value Theorem, for a continuous function f (x) in the interval [a,b], there exists a value x in this interval such that ò f (x)dx = (A) f (x )(b - a) (B) f (b)(x - a) (C) f (a)(b - x) (D) 0 Q23.F(z) is a function of the complex variable z x iy given by ?(?) = ? ? + ? ??(?) + ? ??(?). For what value of k will ?(?) = ? ? + ? ??(?) + ? ??(?). F(z) satisfy the Cauchy-Riemann equations? (A) 0 (B) 1 (C) -1 (D) y Q24.“Her should not be confused with miserliness; she is ever willing to assist those in need. (A) Cleanliness (B) Punctuality (C) Frugality (D) Greatness Q25.Going by the that many hand make light work, the school involved all the students in the task. (A) Principle, Principal (B) Principal, Principle (C) Principle, Principle (D) Principal, Principal Q26.Which of the following functions describe the graph shown in figure below (A) y =|| x | +1| -2 (B) y =|| x | -1| -1 (C) y =|| x | +1| -1 (D) y =|| x -1| -1 | Q27.A rectangle becomes a square when its length and breadth are reduced by 10m and 5 m respectively. During this process, the rectangle losses 650 m2 of area. What is the area of the original rectangle in square meters? (A) 1125 (B) 2250 (C) 2924V (D) 4500 Q28.Seven machines take 7 minutes to make 7 identical toys. At the same time rate how many minutes would it take for 100 machines to make 100 toys? (A) 1 (B) 7 (C) 100 (D) 700 Q29.Given that a and b are integers and correct? a a2b3 is odd then, which one of the following statements is (A) a and b are both odd (B) a and b are both even (C) a is even and b is odd (D) a is odd and b is even Q30.From the time the front of a trains enters a platform, it takes 25 sec for the back of the train to leave the platform, while train travelling at a constant speed of 54 km/h. At the same speed, it takes 14 sec to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters respectively? (A) 210 & 140 (B) 162.5 & 187.5 (C) 245 & 130 (D) 175 & 200 Q31.A number consists of two digits, the sum of digits is 9. If 45 is subtracted from the number, its digits are interchanged. What is the number? (A) 63 (B) 72 (C) 81 (D) 90 Q32.Consider the following three statements : Some roses are All red flowers fade Some roses fade Which of the following statements can be logically inferred from the above statements? (A) If (i) true & (ii) false, then (ii) false (B) If (i) true & (ii) false, then (iii) true (C) If (i) & (ii) are true, then (iii) true (D) If (i) & (ii) false, then (iii) false Q33.Interpolator in a CNC machine (A) Controls spindle speed (B) Coordinate axis movements (C) Operates tool changer (D) Commands conned cycle Q34.For an Oldham coupling used between two shafts, which among the following statements are correct? Torsional load is transferred along shaft A velocity ratio of 1:2 between shafts is obtained without using gears Bending load is transferred transverse to shaft Rotational is transferred along shafts (A) I and III (B) I and IV (C) II and III (D) II and IV Q35.The time series forecasting method that gives equal weightage to each of the m most recent observations is (A) Moving average method (B) Exponential smoothing with linear trend (C) Triple Exponential smoothing (D) Kalman filter Q36.Using the Taylor’s tool life equation with exponent ratio of new tool life to original tool life is? n = 0.5 , if the cutting speed is reduced by 50%, the (A) 4 (B) 2 (C) 1 (D) 0.5 Q37.Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is 172 55 36 • 27 Q38.A six-faced fair dice is rolled five times. Then probability (in%) of obtaining ‘ONE’ at least four times is (A) 33.3 (B) 3.33 (C) 0.33 (D) 0.0033 Q39.The number of atoms per unit cell and the number of slip systems respectively, for a face centered cubic (FCC) crystal are (A) 3,3 (B) 3,12 (C) 4,12 (D) 4,48 Q40.For a two-dimensional incompressible flow field given by following statements is FALSE u = A(xi - yj) where A > 0. Which of the (A) It satisfies continuity equation (B) It is unidirectional when x ® 0 and y ®¥ C )Its streamlines are given by x = y (D) It is irrotational Q41.Which one of the statements is correct in correct for a superheated vapour? (A) Its pressure is less than saturation pressure at a given temperature. (B) Its temperature is less than saturation temperature at a given pressure (C) Its volume is less than volume of saturated vapour at a given temperature (D) Its enthalpy is less than enthalpy of saturated vapour at a given pressure. Q42.In a linearly hardening plastic material, true stress beyond initial yielding (A) Increases linear with true strain (B) Decreasing linear with true strain (C) First increase linearly then decrease linearly (D) Remain constant Q43.A grinding ratio of 200 implies that the (A) Grinding wheel wears 200 times the volume of the material removed (B) Grinding wheel wears 0.005 times the volume of the material removed (C) Aspect ratio of abrasive particles used in the grinding wheel is 200 (D) Ratio of volume of abrasive particle to that of grinding wheel is 200 Q44.Let X1, X 2 be two normal random variable with means m1, m2 and standard deviation s1, s2 respectively.Consider Y = X1 - X 2 ; m1 = m2 = 1, s1 = 1, s2 = 2 then, (A) Y is normal distributed random with mean 0 and variance 1 (B) Y is normal distributed with mean 0 and variance 5 (C) Y has mean 0 and variance 5, but is NOT normally distributed (D) Y has mean 0 and variance 1, but is NOT normally distributed Q45. A final examination is the of a series of evaluations that a student has to go through. (a) culmination (b) consultation (c) desperation (d) insinuation Q46.Once the team of analysts identify the problem, we in a better position to comment on the issue. Which one of the following choices CANNOT fill the given blank? (a) are going to be (b) might be (c) were to be (d) will be Q47.Are there enough seats here? There are people here than I expected (a) most (b) least (c) many (d) more Q48.If IMHO = JNIP; IDK = JEL; and SO = TP, then IDC = (a) JDC (b) JED (c) JCD (d) JDE Q49.The product of three integers X, Y and Z is 192. Z is equal to 4 and P is equal to the average of X and Y. What is the minimum possible value of P? (a) 6 (b) 9.5 (c) 7 (d) 8 Q50.While teaching a creative writing class in India, I was surprised at receiving stories from the students that were all set in distant places: in the American West with cowboys and in Manhattan penthouses with clinking ice cubes. This was, till an eminent Caribbean writer gave the writers in the once-colonised countries the confidence to see the shabby lives around them as worthy of being “told”.The writer of this passage is surprised by the creative writing assignments of his students because . (a) None of the students had written about ice cubes and cowboys (b) Some of the students had written about ice cubes and cowboys (c) None of the students had written stories Ans. (b) Sol. Assume in 2015, GDP was x. So, in 2016, GDP will be 1.1x Fiscal deficiet in 2015 = 0.04 × x Fiscal deficiet in 2016 = 0.05 × 1.1x % Increase in the actual fiscal deficiet 0.05 1.1x 0.04 x set in India (d) Some of the students had written stories set in foreign places Q51.X is an online media provider. By offering unlimited and exclusive online content at attractive prices for a loyalty membership, X is almost forcing its customers towards its loyalty membership. If its loyalty membership continues to grow at its current rate, within the next eight years more households will be watching X than cable television. Which one of the following statements can be inferred from the above paragraph? (a) Most households that subscribe to X’s loyalty membership discontinue watching cable television (b) Non-members prefer to watch cable television (c) (c) The X is cancelling accounts of non- members (d) Cable television operators don’t subscribe to X’s loyalty membership Q52.Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are open for 4 hours. Then P is closed and Q is opened. After 6 more hours R is closed. The total time taken to fill the tank (in hours) is . (a) 13.50 (b) 16.50 (c) 14.50 (d) 15.50 Q53. Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of 100 MPa along the length direction. Assume plane stress condition in the plane normal to the thickness. The Young’s modulus E = 200 MPa and Poisson’s ratio = 0.3 are given. The principal strains in the plane of the sheet are (a) (0.5, –0.15) (b) (0.5, 0.0) (c) (0.35, –0.15) (d) (0.5, –0.5) Q54. Endurance limit of a beam subjected to pure bending decreases with (a) increase in the surface roughness and increase in the size of the beam (b) decrease in the surface roughness and increase in the size of the beam (c) decrease in the surface roughness and decrease in the size of the beam (d) increase in the surface roughness and decrease in the size of the beam Q55.The fluidity of molten metal of cast alloys (without any addition of fluxes) increases with increase in (a) freezing range (b) viscosity (c) degree of superheat (d) surface tension Q56.Hardenability of steel is a measure of (a) the maximum hardness that can be obtained when it is austenitized and then quenched (b) the depth to which required hardening is obtained when it is austenitized and then quenched (c) the ability to harden when it is cold worked (d) the ability to retain its hardness when it is heated to elevated temperatures Q57. The most common limit gage used for inspecting the hole diameter is (a) Plug gage (b) Master gage c) Snap gage (d) Ring gage Q58. Choose the most appropriate word from the options given below to complete the following sentence. Communication and interpersonal skills are important in their own ways. (A) each (B) both (C) all (D) either Q59.Which of the options given below best completes the following sentence? She will feel much better if she . (A) will get some rest (B) gets some rest (C) will be getting some rest (D) is getting some rest 60. Choose the most appropriate pair of words from the options given below to complete the following sentence. She could not the thought of the election to her bitter rival. (A) bear, loosing (B) bare, loosing (C) bear, losing (D) bare, losing Q61.A regular die has six sides with numbers 1 to 6 marked on its sides. If a very large number of throws show the following frequencies of occurrence: 1 ® 167; 2 ® 0.167; 3 ® 0.152; 4 ® 0.166; 5 ® 0.168; 6 ® 0.180. We call this die (A) irregular (B) biased (C) Gaussian (D) insufficient Q62.Find the odd one in the following group Q,W,Z,B W,C,G,J M,S,V,X (A) Q,W,Z,B (B) B,H,K,M (C) W,C,G,J (D) M,S,V,X Q63. Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the other light on that step will always be yellow. Which of the following statements is not necessarily correct? (A) The number of red lights is equal to the number of blue lights (B) The number of green lights is equal to the number of yellow lights (C) The sum of the red and green lights is equal to the sum of the yellow and blue lights (D) The sum of the red and blue lights is equal to the sum of the green and yellow lights Q64. It takes 30 minutes to empty a half-full tank by draining it at a constant rate. It is decided to simultaneously pump water into the half-full tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in 10 minutes? (A) 4 times the draining rate (B) 3 times the draining rate (C) 2.5 times the draining rate (D) 2 times the draining rate Q65. The flatness of a machine bed can be measured using (A) Vernier calipers (B) Auto collimator (C) Height gauge (D) Tool maker’s microscope Warning: Undefined array key "correct_answer_logic" in /home/kaling/public_html/kalingaplus/wp-content/plugins/quiz-master-next/php/classes/class-qmn-quiz-manager.php on line 451 Time's up