Page 1 GATE 2018 General Aptitude (GA) Set-8 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “His face ___________ with joy when the solution of the puzzle was _______ to him. ” The words that best fill the blanks in the above sentence are (A) shone, shown (B) shone, shone (C) shown, shone (D) shown, shown Q.2 “Although it does contain some pioneering ideas, one would hardly characterize the work as _________.” The word that best fills the blank in the above sentence is (A) innovative (B) simple (C) dull (D) boring Q.3 ?? + ?? + ?? +?+?? ? ?? times = ?? 2 ?? and ?? + ?? + ?? +?+?? ? ?? times = ?? ?? 2 , where ?? ,?? ,?? and ?? are natural numbers. What is the value of (?? + ?? + ?? +?+?? ? ?? times ) (?? + ?? + ?? +?+?? ? ?? times )? (A) 2?? 2 ?? 2 (B) ?? 4 ?? 4 (C) ???? (?? +?? ) (D) ?? 2 +?? 2 Q.4 A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed? (A) 27 (B) 72 (C) 81 (D) 84 Q.5 For non-negative integers, ?? , ?? , ?? , what would be the value of ?? +?? +?? if log?? +log?? +log?? =0? (A) 3 (B) 1 (C) 0 (D) -1 Q. 6 – Q. 10 carry two marks each. Q.6 In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target? (A) 400 (B) 1200 (C) 1600 (D) 2800 Page 2 GATE 2018 General Aptitude (GA) Set-8 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “His face ___________ with joy when the solution of the puzzle was _______ to him. ” The words that best fill the blanks in the above sentence are (A) shone, shown (B) shone, shone (C) shown, shone (D) shown, shown Q.2 “Although it does contain some pioneering ideas, one would hardly characterize the work as _________.” The word that best fills the blank in the above sentence is (A) innovative (B) simple (C) dull (D) boring Q.3 ?? + ?? + ?? +?+?? ? ?? times = ?? 2 ?? and ?? + ?? + ?? +?+?? ? ?? times = ?? ?? 2 , where ?? ,?? ,?? and ?? are natural numbers. What is the value of (?? + ?? + ?? +?+?? ? ?? times ) (?? + ?? + ?? +?+?? ? ?? times )? (A) 2?? 2 ?? 2 (B) ?? 4 ?? 4 (C) ???? (?? +?? ) (D) ?? 2 +?? 2 Q.4 A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed? (A) 27 (B) 72 (C) 81 (D) 84 Q.5 For non-negative integers, ?? , ?? , ?? , what would be the value of ?? +?? +?? if log?? +log?? +log?? =0? (A) 3 (B) 1 (C) 0 (D) -1 Q. 6 – Q. 10 carry two marks each. Q.6 In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target? (A) 400 (B) 1200 (C) 1600 (D) 2800 GATE 2018 General Aptitude (GA) Set-8 GA 2/2 Q.7 A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11 th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15 th July of the same year? (A) 12:45 PM (B) 12:58 PM (C) 1:00 PM (D) 2:00 PM Q.8 The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day (24-hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the 24-hour period, 50% of the rainfall falling on a rooftop, which had an obstruction- free area of 50 m 2 , was harvested into a tank. What is the total volume of water collected in the tank in liters? (A) 25,000 (B) 18,750 (C) 7,500 (D) 3,125 Q.9 Given that log?? ?? -?? = log?? ?? -?? = log?? ?? -?? =10 for ?? ??? ??? , what is the value of the product ?????? ? (A) 0 (B) 1 (C) ?????? (D) 10 ?????? Q.10 Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A+B+C), (C+D+E), (E+F+G) and (G+H+K) is equal to 13. Which integer does E represent? A B C D E F G H K (A) 1 (B) 4 (C) 6 (D) 7 END OF THE QUESTION PAPER Page 3 GATE 2018 General Aptitude (GA) Set-8 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “His face ___________ with joy when the solution of the puzzle was _______ to him. ” The words that best fill the blanks in the above sentence are (A) shone, shown (B) shone, shone (C) shown, shone (D) shown, shown Q.2 “Although it does contain some pioneering ideas, one would hardly characterize the work as _________.” The word that best fills the blank in the above sentence is (A) innovative (B) simple (C) dull (D) boring Q.3 ?? + ?? + ?? +?+?? ? ?? times = ?? 2 ?? and ?? + ?? + ?? +?+?? ? ?? times = ?? ?? 2 , where ?? ,?? ,?? and ?? are natural numbers. What is the value of (?? + ?? + ?? +?+?? ? ?? times ) (?? + ?? + ?? +?+?? ? ?? times )? (A) 2?? 2 ?? 2 (B) ?? 4 ?? 4 (C) ???? (?? +?? ) (D) ?? 2 +?? 2 Q.4 A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed? (A) 27 (B) 72 (C) 81 (D) 84 Q.5 For non-negative integers, ?? , ?? , ?? , what would be the value of ?? +?? +?? if log?? +log?? +log?? =0? (A) 3 (B) 1 (C) 0 (D) -1 Q. 6 – Q. 10 carry two marks each. Q.6 In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target? (A) 400 (B) 1200 (C) 1600 (D) 2800 GATE 2018 General Aptitude (GA) Set-8 GA 2/2 Q.7 A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11 th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15 th July of the same year? (A) 12:45 PM (B) 12:58 PM (C) 1:00 PM (D) 2:00 PM Q.8 The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day (24-hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the 24-hour period, 50% of the rainfall falling on a rooftop, which had an obstruction- free area of 50 m 2 , was harvested into a tank. What is the total volume of water collected in the tank in liters? (A) 25,000 (B) 18,750 (C) 7,500 (D) 3,125 Q.9 Given that log?? ?? -?? = log?? ?? -?? = log?? ?? -?? =10 for ?? ??? ??? , what is the value of the product ?????? ? (A) 0 (B) 1 (C) ?????? (D) 10 ?????? Q.10 Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A+B+C), (C+D+E), (E+F+G) and (G+H+K) is equal to 13. Which integer does E represent? A B C D E F G H K (A) 1 (B) 4 (C) 6 (D) 7 END OF THE QUESTION PAPER GATE 2018 Civil Engineering (Set 2) CE 1/13 Q. 1 – Q. 25 carry one mark each. Q.1 The solution of the equation + = 0 dy xy dx passing through the point (1,1) is (A) x (B) x 2 (C) x -1 (D) x -2 Q.2 The graph of a function f(x) is shown in the figure. For f(x) to be a valid probability density function, the value of h is (A) 1/3 (B) 2/3 (C) 1 (D) 3 Q.3 A probability distribution with right skew is shown in the figure. The correct statement for the probability distribution is (A) Mean is equal to mode (B) Mean is greater than median but less than mode (C) Mean is greater than median and mode (D) Mode is greater than median f(x) x f(x) x 2h h 3h 1 2 3 0 Page 4 GATE 2018 General Aptitude (GA) Set-8 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “His face ___________ with joy when the solution of the puzzle was _______ to him. ” The words that best fill the blanks in the above sentence are (A) shone, shown (B) shone, shone (C) shown, shone (D) shown, shown Q.2 “Although it does contain some pioneering ideas, one would hardly characterize the work as _________.” The word that best fills the blank in the above sentence is (A) innovative (B) simple (C) dull (D) boring Q.3 ?? + ?? + ?? +?+?? ? ?? times = ?? 2 ?? and ?? + ?? + ?? +?+?? ? ?? times = ?? ?? 2 , where ?? ,?? ,?? and ?? are natural numbers. What is the value of (?? + ?? + ?? +?+?? ? ?? times ) (?? + ?? + ?? +?+?? ? ?? times )? (A) 2?? 2 ?? 2 (B) ?? 4 ?? 4 (C) ???? (?? +?? ) (D) ?? 2 +?? 2 Q.4 A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed? (A) 27 (B) 72 (C) 81 (D) 84 Q.5 For non-negative integers, ?? , ?? , ?? , what would be the value of ?? +?? +?? if log?? +log?? +log?? =0? (A) 3 (B) 1 (C) 0 (D) -1 Q. 6 – Q. 10 carry two marks each. Q.6 In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target? (A) 400 (B) 1200 (C) 1600 (D) 2800 GATE 2018 General Aptitude (GA) Set-8 GA 2/2 Q.7 A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11 th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15 th July of the same year? (A) 12:45 PM (B) 12:58 PM (C) 1:00 PM (D) 2:00 PM Q.8 The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day (24-hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the 24-hour period, 50% of the rainfall falling on a rooftop, which had an obstruction- free area of 50 m 2 , was harvested into a tank. What is the total volume of water collected in the tank in liters? (A) 25,000 (B) 18,750 (C) 7,500 (D) 3,125 Q.9 Given that log?? ?? -?? = log?? ?? -?? = log?? ?? -?? =10 for ?? ??? ??? , what is the value of the product ?????? ? (A) 0 (B) 1 (C) ?????? (D) 10 ?????? Q.10 Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A+B+C), (C+D+E), (E+F+G) and (G+H+K) is equal to 13. Which integer does E represent? A B C D E F G H K (A) 1 (B) 4 (C) 6 (D) 7 END OF THE QUESTION PAPER GATE 2018 Civil Engineering (Set 2) CE 1/13 Q. 1 – Q. 25 carry one mark each. Q.1 The solution of the equation + = 0 dy xy dx passing through the point (1,1) is (A) x (B) x 2 (C) x -1 (D) x -2 Q.2 The graph of a function f(x) is shown in the figure. For f(x) to be a valid probability density function, the value of h is (A) 1/3 (B) 2/3 (C) 1 (D) 3 Q.3 A probability distribution with right skew is shown in the figure. The correct statement for the probability distribution is (A) Mean is equal to mode (B) Mean is greater than median but less than mode (C) Mean is greater than median and mode (D) Mode is greater than median f(x) x f(x) x 2h h 3h 1 2 3 0 GATE 2018 Civil Engineering (Set 2) CE 2/13 Q.4 All the members of the planar truss (see figure), have the same properties in terms of area of cross-section (A) and modulus of elasticity (E). For the loads shown on the truss, the statement that correctly represents the nature of forces in the members of the truss is: (A) There are 3 members in tension, and 2 members in compression (B) There are 2 members in tension, 2 members in compression, and 1 zero-force member (C) There are 2 members in tension, 1 member in compression, and 2 zero-force members (D) There are 2 members in tension, and 3 zero-force members Q.5 The setting time of cement is determined using (A) Le Chatelier apparatus (B) Briquette testing apparatus (C) Vicat apparatus (D) Casagrande’s apparatus Q.6 A structural member subjected to compression, has both translation and rotation restrained at one end, while only translation is restrained at the other end. As per IS 456 : 2000, the effective length factor recommended for design is (A) 0.50 (B) 0.65 (C) 0.70 (D) 0.80 Q.7 A vertical load of 10 kN acts on a hinge located at a distance of L/4 from the roller support Q of a beam of length L (see figure). The vertical reaction at support Q is (A) 0.0 kN (B) 2.5 kN (C) 7.5 kN (D) 10.0 kN Q.8 A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping is (A) 1.67 (B) 2.5 (C) 3.4 (D) 4 10 kN 3L/4 L/4 P Q L L P P Page 5 GATE 2018 General Aptitude (GA) Set-8 GA 1/2 Q. 1 – Q. 5 carry one mark each. Q.1 “His face ___________ with joy when the solution of the puzzle was _______ to him. ” The words that best fill the blanks in the above sentence are (A) shone, shown (B) shone, shone (C) shown, shone (D) shown, shown Q.2 “Although it does contain some pioneering ideas, one would hardly characterize the work as _________.” The word that best fills the blank in the above sentence is (A) innovative (B) simple (C) dull (D) boring Q.3 ?? + ?? + ?? +?+?? ? ?? times = ?? 2 ?? and ?? + ?? + ?? +?+?? ? ?? times = ?? ?? 2 , where ?? ,?? ,?? and ?? are natural numbers. What is the value of (?? + ?? + ?? +?+?? ? ?? times ) (?? + ?? + ?? +?+?? ? ?? times )? (A) 2?? 2 ?? 2 (B) ?? 4 ?? 4 (C) ???? (?? +?? ) (D) ?? 2 +?? 2 Q.4 A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed? (A) 27 (B) 72 (C) 81 (D) 84 Q.5 For non-negative integers, ?? , ?? , ?? , what would be the value of ?? +?? +?? if log?? +log?? +log?? =0? (A) 3 (B) 1 (C) 0 (D) -1 Q. 6 – Q. 10 carry two marks each. Q.6 In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target? (A) 400 (B) 1200 (C) 1600 (D) 2800 GATE 2018 General Aptitude (GA) Set-8 GA 2/2 Q.7 A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11 th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15 th July of the same year? (A) 12:45 PM (B) 12:58 PM (C) 1:00 PM (D) 2:00 PM Q.8 The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day (24-hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the 24-hour period, 50% of the rainfall falling on a rooftop, which had an obstruction- free area of 50 m 2 , was harvested into a tank. What is the total volume of water collected in the tank in liters? (A) 25,000 (B) 18,750 (C) 7,500 (D) 3,125 Q.9 Given that log?? ?? -?? = log?? ?? -?? = log?? ?? -?? =10 for ?? ??? ??? , what is the value of the product ?????? ? (A) 0 (B) 1 (C) ?????? (D) 10 ?????? Q.10 Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A+B+C), (C+D+E), (E+F+G) and (G+H+K) is equal to 13. Which integer does E represent? A B C D E F G H K (A) 1 (B) 4 (C) 6 (D) 7 END OF THE QUESTION PAPER GATE 2018 Civil Engineering (Set 2) CE 1/13 Q. 1 – Q. 25 carry one mark each. Q.1 The solution of the equation + = 0 dy xy dx passing through the point (1,1) is (A) x (B) x 2 (C) x -1 (D) x -2 Q.2 The graph of a function f(x) is shown in the figure. For f(x) to be a valid probability density function, the value of h is (A) 1/3 (B) 2/3 (C) 1 (D) 3 Q.3 A probability distribution with right skew is shown in the figure. The correct statement for the probability distribution is (A) Mean is equal to mode (B) Mean is greater than median but less than mode (C) Mean is greater than median and mode (D) Mode is greater than median f(x) x f(x) x 2h h 3h 1 2 3 0 GATE 2018 Civil Engineering (Set 2) CE 2/13 Q.4 All the members of the planar truss (see figure), have the same properties in terms of area of cross-section (A) and modulus of elasticity (E). For the loads shown on the truss, the statement that correctly represents the nature of forces in the members of the truss is: (A) There are 3 members in tension, and 2 members in compression (B) There are 2 members in tension, 2 members in compression, and 1 zero-force member (C) There are 2 members in tension, 1 member in compression, and 2 zero-force members (D) There are 2 members in tension, and 3 zero-force members Q.5 The setting time of cement is determined using (A) Le Chatelier apparatus (B) Briquette testing apparatus (C) Vicat apparatus (D) Casagrande’s apparatus Q.6 A structural member subjected to compression, has both translation and rotation restrained at one end, while only translation is restrained at the other end. As per IS 456 : 2000, the effective length factor recommended for design is (A) 0.50 (B) 0.65 (C) 0.70 (D) 0.80 Q.7 A vertical load of 10 kN acts on a hinge located at a distance of L/4 from the roller support Q of a beam of length L (see figure). The vertical reaction at support Q is (A) 0.0 kN (B) 2.5 kN (C) 7.5 kN (D) 10.0 kN Q.8 A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping is (A) 1.67 (B) 2.5 (C) 3.4 (D) 4 10 kN 3L/4 L/4 P Q L L P P GATE 2018 Civil Engineering (Set 2) CE 3/13 Q.9 The contact pressure and settlement distribution for a footing are shown in the figure. The figure corresponds to a (A) rigid footing on granular soil (B) flexible footing on granular soil (C) flexible footing on saturated clay (D) rigid footing on cohesive soil Q.10 Which one of the following statements is NOT correct? (A) When the water content of soil lies between its liquid limit and plastic limit, the soil is said to be in plastic state. (B) Boussinesq’s theory is used for the analysis of stratified soil. (C) The inclination of stable slope in cohesive soil can be greater than its angle of internal friction. (D) For saturated dense fine sand, after applying overburden correction, if the Standard Penetration Test value exceeds 15, dilatancy correction is to be applied. Q.11 The clay mineral, whose structural units are held together by potassium bond is (A) Halloysite (B) Illite (C) Kaolinite (D) Smectite Q.12 Dupuit’s assumptions are valid for (A) artesian aquifer (B) confined aquifer (C) leaky aquifer (D) unconfined aquifer Q.13 For a given discharge in an open channel, there are two depths which have the same specific energy. These two depths are known as (A) alternate depths (B) critical depths (C) normal depths (D) sequent depths Q.14 As per IS 10500:2012, for drinking water in the absence of alternate source of water, the permissible limits for chloride and sulphate, in mg/L, respectively are (A) 250 and 200 (B) 1000 and 400 (C) 200 and 250 (D) 500 and 1000Read More