General Aptitude - GATE XE (Engineering Sciences) Subject-Wise PYQ Practice

Question 1

Even though I had planned to go skiing with my friends, I had to __________ at the last moment because of an injury. Select the most appropriate option to complete the above sentence.

Accepted Answer

back out

Answer

back up

Answer

back of

Answer

back on

Question 2

The President, along with the Council of Ministers, ___________ to visit India next week. Select the most appropriate option to complete the above sentence.

Accepted Answer

wishes

Answer

wish

Answer

will wish

Answer

is wishing

Question 3

An electricity utility company charges ₹ 7 per kWh (kilo watt-hour). If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?

Accepted Answer

₹ 504; 20%

Answer

₹ 604.8; 10%

Answer

₹ 604.8; 12%

Answer

₹ 720; 15%

Question 4

In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively? N U F (i) 21 14 9 6 H L (ii) O 12 (iv) 15 (iii)

Accepted Answer

I, J, 10, and 8

Answer

Q, M, 12, and 8

Answer

K, L, 10 and 14

Answer

L, K, 12 and 8

Question 5

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained: (i) The sum of Yellow balls and twice the number of Violet balls is 50. (ii) The sum of Violet and Green balls is 50. (iii) The sum of Yellow and Red balls is 50. (iv) The sum of Violet and twice the number of Red balls is 50. Which one of the following Pie charts correctly represents the balls in the bag?

Accepted Answer

Answer

V 10% R 20% Y 30% G 40% V 40% R 10% Y 20% G 30%

Answer

V 30% R 40% Y 10% G 20% V 20% R 30% Y 40% G 10%

Question 6

“His life was divided between the books, his friends, and long walks. A solitary man, he worked at all hours without much method, and probably courted his fatal illness in this way. To his own name there is not much to show; but such was his liberality that he was continually helping others, and fruits of his erudition are widely scattered, and have gone to increase many a comparative stranger’s reputation.” (From E.V. Lucas’s “A Funeral”) Based only on the information provided in the above passage, which one of the following statements is true?

Accepted Answer

The solitary man described in the passage is dead.

Answer

Strangers helped create a grand reputation for the solitary man described in the passage.

Answer

The solitary man described in the passage found joy in scattering fruits.

Answer

The solitary man worked in a court where he fell ill.

Question 7

For the clock shown in the figure, if O* = O Q S Z P R T, and X* = X Z P W Y O Q , then which one among the given options is most appropriate for P* ?

Accepted Answer

P R T O Q S U

Answer

P U W R T V X

Answer

P T V Q S U W

Answer

P S U P R T V

Question 8

Consider a five-digit number 𝑃𝑄𝑅𝑆𝑇 that has distinct digits 𝑃, 𝑄, 𝑅, 𝑆, and 𝑇, and satisfies the following conditions: 𝑃< 𝑄 𝑆> 𝑃> 𝑇 𝑅< 𝑇 If integers 1 through 5 are used to construct such a number, the value of 𝑃 is:

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 9

A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at ₹ 192 per kg. The cost of the variety P is ₹ 800 for 5 kg. The cost of the variety Q is ₹ 800 for 4 kg. If the person gets 8% profit, what is the P:Q ratio (by weight)?

Accepted Answer

5:4

Answer

3:4

Answer

3:2

Answer

1:1

Question 10

Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road? Note: The figure shown is representative.

Accepted Answer

12.0

Answer

10.5

Answer

11.0

Answer

12.5 P Q R 14 km 13 km 15 km

Question 11

If ‘→’ denotes increasing order of intensity, then the meaning of the words [walk → jog → sprint] is analogous to [bothered → ________ → daunted]. Which one of the given options is appropriate to fill the blank?

Accepted Answer

fazed

Answer

phased

Answer

phrased

Answer

fused

Question 12

Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also decide to work independently. After trying all possible combination of elements, they conclude that the spell does not work. How many attempts does each wizard make before coming to this conclusion, independently?

Accepted Answer

24

Answer

48

Answer

16

Answer

12

Question 13

In an engineering college of 10,000 students, 1,500 like neither their core branches nor other branches. The number of students who like their core branches is 1/4th of the number of students who like other branches. The number of students who like both their core and other branches is 500. The number of students who like their core branches is

Accepted Answer

1,800

Answer

3,500

Answer

1,600

Answer

1,500

Question 14

For positive non-zero real variables 𝑥 and 𝑦, if ln (𝑥+ 𝑦 2 ) = 1 2 [ln⁡(𝑥) + ln⁡(𝑦)] then, the value of 𝑥 𝑦+ 𝑦 𝑥 is

Accepted Answer

2

Answer

1

Answer

1/2

Answer

4

Question 15

In the sequence 6, 9, 14, x, 30, 41, a possible value of 𝑥 is

Accepted Answer

21

Answer

25

Answer

18

Answer

20

Question 16

Sequence the following sentences in a coherent passage. P: This fortuitous geological event generated a colossal amount of energy and heat that resulted in the rocks rising to an average height of 4 km across the contact zone. Q: Thus, the geophysicists tend to think of the Himalayas as an active geological event rather than as a static geological feature. R: The natural process of the cooling of this massive edifice absorbed large quantities of atmospheric carbon dioxide, altering the earth’s atmosphere and making it better suited for life. S: Many millennia ago, a breakaway chunk of bedrock from the Antarctic Plate collided with the massive Eurasian Plate.

Accepted Answer

SPRQ

Answer

QPSR

Answer

QSPR

Answer

SRPQ

Question 17

A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total of

Accepted Answer

1% loss

Answer

1% profit

Answer

2% profit

Answer

2% loss

Question 18

The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023. The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?

Accepted Answer

62.5% Coal 35% Gas 25% Wind 5% Hydro 30% Solar 5% Year 2007 Coal 20% Gas 15% Wind 10% Hydro 35% Solar 20% Year 2023

Answer

25%

Answer

50%

Answer

77.5%

Question 19

A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube. The minimum number of such cuts required is

Accepted Answer

3

Answer

4

Answer

7

Answer

8

Question 20

In the 4 × 4 array shown below, each cell of the first three rows has either a cross (X) or a number. The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row is

Accepted Answer

11

Answer

10

Answer

12

Answer

9

Question 21

The village was nestled in a green spot, _______ the ocean and the hills.

Accepted Answer

between

Answer

through

Answer

in

Answer

at

Question 22

Disagree : Protest : : Agree : _______ (By word meaning)

Accepted Answer

Recommend

Answer

Refuse

Answer

Pretext

Answer

Refute

Question 23

A ‘frabjous’ number is defined as a 3 digit number with all digits odd, and no two adjacent digits being the same. For example, 137 is a frabjous number, while 133 is not. How many such frabjous numbers exist?

Accepted Answer

80

Answer

125

Answer

720

Answer

60

Question 24

Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?

Accepted Answer

At most half the candidates have a score that is larger than the median.

Answer

The median is at least as large as the mean.

Answer

The mean is at least as large as the median.

Answer

At most half the candidates have a score that is larger than the mean.

Question 25

In the given diagram, ovals are marked at different heights (h) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?

Accepted Answer

Q

Answer

P

Answer

R

Answer

S

Question 26

Residency is a famous housing complex with many well-established individuals among its residents. A recent survey conducted among the residents of the complex revealed that all of those residents who are well established in their respective fields happen to be academicians. The survey also revealed that most of these academicians are authors of some best-selling books. Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Answer

Some residents of the complex who are well established in their fields are also authors of some best-selling books.

Answer

All academicians residing in the complex are well established in their fields.

Answer

Some authors of best-selling books are residents of the complex who are well established in their fields.

Answer

Some academicians residing in the complex are well established in their fields.

Question 27

Ankita has to climb 5 stairs starting at the ground, while respecting the following rules: 1. At any stage, Ankita can move either one or two stairs up. 2. At any stage, Ankita cannot move to a lower step. Let 𝐹(𝑁) denote the number of possible ways in which Ankita can reach the 𝑁𝑡ℎ stair. For example, 𝐹(1) = 1, 𝐹(2) = 2, 𝐹(3) = 3. The value of 𝐹(5) is _______.

Accepted Answer

8

Answer

7

Answer

6

Answer

5

Question 28

The information contained in DNA is used to synthesize proteins that are necessary for the functioning of life. DNA is composed of four nucleotides: Adenine (A), Thymine (T), Cytosine (C), and Guanine (G). The information contained in DNA can then be thought of as a sequence of these four nucleotides: A, T, C, and G. DNA has coding and non-coding regions. Coding regions—where the sequence of these nucleotides are read in groups of three to produce individual amino acids—constitute only about 2% of human DNA. For example, the triplet of nucleotides CCG codes for the amino acid glycine, while the triplet GGA codes for the amino acid proline. Multiple amino acids are then assembled to form a protein. Based only on the information provided above, which of the following statements can be logically inferred with certainty? (i) The majority of human DNA has no role in the synthesis of proteins. (ii) The function of about 98% of human DNA is not understood.

Accepted Answer

neither (i) nor (ii)

Answer

only (i)

Answer

only (ii)

Answer

both (i) and (ii)

Question 29

Which one of the given figures P, Q, R and S represents the graph of the following function? 𝑓(𝑥) = | |𝑥+ 2| −|𝑥−1| |

Accepted Answer

P

Answer

Q

Answer

R

Answer

S

Question 30

An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

Accepted Answer

S

Answer

P

Answer

Q

Answer

R

Question 31

The movie was funny and I _________.

Accepted Answer

couldn’t help laughing

Answer

could help laughing

Answer

couldn’t help laughed

Answer

could helped laughed

Question 32

𝑥∶𝑦∶𝑧ൌ ଵ ଶ: ଵ ଷ: ଵ ସ. What is the value of ௫ା௭ି௬ ௬ ?

Accepted Answer

1.25

Answer

0.75

Answer

2.25

Answer

3.25

Question 33

Both the numerator and the denominator of ଷ ସ are increased by a positive integer, 𝑥, and those of ଵହ ଵ଻ are decreased by the same integer. This operation results in the same value for both the fractions. What is the value of 𝑥?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 34

A survey of 450 students about their subjects of interest resulted in the following outcome. • 150 students are interested in Mathematics. • 200 students are interested in Physics. • 175 students are interested in Chemistry. • 50 students are interested in Mathematics and Physics. • 60 students are interested in Physics and Chemistry. • 40 students are interested in Mathematics and Chemistry. • 30 students are interested in Mathematics, Physics and Chemistry. • Remaining students are interested in Humanities. Based on the above information, the number of students interested in Humanities is

Accepted Answer

45

Answer

10

Answer

30

Answer

40

Question 35

For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?

Accepted Answer

Question 36

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low. Which one of the following is the CORRECT logical inference based on the information in the above passage?

Accepted Answer

More people are visiting the malls but not spending enough

Answer

Fewer people are visiting the malls but spending more

Answer

More people are visiting the malls and spending more

Answer

Fewer people are visiting the malls and not spending enough

Question 37

In a partnership business the monthly investment by three friends for the first six months is in the ratio 3: 4: 5. After six months, they had to increase their monthly investments by 10%, 15% and 20%, respectively, of their initial monthly investment. The new investment ratio was kept constant for the next six months. What is the ratio of their shares in the total profit (in the same order) at the end of the year such that the share is proportional to their individual total investment over the year?

Accepted Answer

63 : 86 : 110

Answer

22 : 23 : 24

Answer

22 : 33 : 50

Answer

33 : 46 : 60

Question 38

Consider the following equations of straight lines: Line L1: 2𝑥െ3𝑦 ൌ5 Line L2: 3𝑥൅2𝑦 ൌ8 Line L3: 4𝑥െ6𝑦ൌ5 Line L4: 6𝑥െ9𝑦ൌ6 Which one among the following is the correct statement?

Accepted Answer

L4 is perpendicular to L2 and L4 is parallel to L3

Answer

L1 is parallel to L2 and L1 is perpendicular to L3

Answer

L2 is parallel to L4 and L2 is perpendicular to L1

Answer

L3 is perpendicular to L4 and L3 is parallel to L2

Question 39

Given below are two statements and four conclusions drawn based on the statements. Statement 1: Some soaps are clean. Statement 2: All clean objects are wet. Conclusion I: Some clean objects are soaps. Conclusion II: No clean object is a soap. Conclusion III: Some wet objects are soaps. Conclusion IV: All wet objects are soaps. Which one of the following options can be logically inferred?

Accepted Answer

Only conclusion I and conclusion III are correct

Answer

Only conclusion I is correct

Answer

Either conclusion I or conclusion II is correct

Answer

Either conclusion III or conclusion IV is correct

Question 40

An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east. The ant first turns 72o anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting. 1. moves forward for 10 cm. 2. turns 144o clockwise. The pattern made by the trace left behind by the ant is

Accepted Answer

Question 41

“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

Accepted Answer

principle, principal

Answer

principal, principle

Answer

principle, principle

Answer

principal, principal

Question 42

“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

Accepted Answer

frugality

Answer

cleanliness

Answer

punctuality

Answer

greatness

Question 43

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?

Accepted Answer

7

Answer

1

Answer

100

Answer

700

Question 44

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?

Accepted Answer

2250

Answer

1125

Answer

2924

Answer

4500

Question 45

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?

Accepted Answer

72

Answer

63

Answer

81

Answer

90

Question 46

For integers 𝑎, 𝑏 and 𝑐, what would be the minimum and maximum values respectively of 𝑎+ 𝑏+ 𝑐 if log |𝑎| + log |𝑏| + log |𝑐| = 0?

Accepted Answer

-3 and 3

Answer

-1 and 1

Answer

-1 and 3

Answer

1 and 3 GA

Question 47

Given that 𝑎 and 𝑏 are integers and 𝑎+ 𝑎2 𝑏3 is odd, which one of the following statements is correct?

Accepted Answer

𝑎 is odd and 𝑏 is even

Answer

𝑎 and 𝑏 are both odd

Answer

𝑎 and 𝑏 are both even

Answer

𝑎 is even and 𝑏 is odd

Question 48

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?

Accepted Answer

175 and 200

Answer

210 and 140

Answer

162.5 and 187.5

Answer

245 and 130

Question 49

Which of the following functions describe the graph shown in the below figure?

Accepted Answer

𝑦= ||𝑥| −1| −1

Answer

𝑦= ||𝑥| + 1| −2

Answer

𝑦= ||𝑥| + 1| −1

Answer

𝑦= ||𝑥−1| −1|

Question 50

Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly. Which of the following statements can be logically inferred from the above statements?

Accepted Answer

If (i) and (ii) are true, then (iii) is true.

Answer

If (i) is true and (ii) is false, then (iii) is false.

Answer

If (i) is true and (ii) is false, then (iii) is true.

Answer

If (i) and (ii) are false, then (iii) is false.

Question 51

The chairman requested the aggrieved shareholders to _________________ him.

Accepted Answer

bear with

Answer

bare with

Answer

bore with

Answer

bare

Question 52

Identify the correct spelling out of the given options:

Accepted Answer

Manageable

Answer

Managable

Answer

Mangaeble

Answer

Managible

Question 53

Pick the odd one out in the following: 13, 23, 33, 43, 53

Accepted Answer

33

Answer

23

Answer

43

Answer

53

Question 54

R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. Which of the following can be logically inferred from the above statements?

Accepted Answer

R2D2 is the only robot which can repair aeroplanes.

Answer

R2D2 is a robot which can only repair aeroplanes.

Answer

R2D2 is a robot which can repair only aeroplanes.

Answer

Only R2D2 is a robot.

Question 55

If |9y−6| =3, then y2 −4y/3 is .

Accepted Answer

−1/3

Answer

0

Answer

+1/3

Answer

undefined

Question 56

The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to installed capacity. A plant with installed capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a small plant. The difference between total production of large plants and small plants, in tonnes is ____.

Accepted Answer

120.0

Question 57

A poll of students appearing for masters in engineering indicated that 60 % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees in mechanical engineering found that 99 % of such women were successful in their professions. Which of the following can be logically inferred from the above paragraph?

Accepted Answer

Mechanical engineering is a profession well suited for women with masters or higher degrees in mechanical engineering.

Answer

Many students have misconceptions regarding various engineering disciplines.

Answer

Men with advanced degrees in mechanical engineering believe women are well suited to be mechanical engineers.

Answer

The number of women pursuing higher degrees in mechanical engineering is small.

Question 58

Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country. Which of the following can be logically inferred from the above sentence? Based on the proposal, (i) In the initial years, SIT students will get degrees from IIT. (ii) SITs will have a distinct national objective. (iii) SIT like institutions can only be established in consultation with IIT. (iv) SITs will serve technological needs of a developing country.

Accepted Answer

(ii) and (iv) only.

Answer

(iii) and (iv) only.

Answer

(i) and (iv) only.

Answer

(ii) and (iii) only.

Question 59

Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?

Accepted Answer

0.2508

Answer

0.2816

Answer

0.2934

Answer

0.6000

Question 60

The numeral in the units position of 211870 + 146127 × 3424 is _____.

Accepted Answer

7.0

Question 61

A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences. The word closest in meaning to comprehension is

Accepted Answer

understanding

Answer

meaning

Answer

concentration

Answer

stability

Question 62

Choose the most appropriate word from the options given below to complete the following sentence. One of his biggest ______ was his ability to forgive.

Accepted Answer

virtues

Answer

vice

Answer

choices

Answer

strength

Question 63

Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently. Which one of the statements below is logically valid and can be inferred from the above sentences?

Accepted Answer

Rajan had believed that Sajan and he would be working together.

Answer

Rajan has decided to work only in a group.

Answer

Rajan and Sajan were formed into a group against their wishes.

Answer

Sajan had decided to give in to Rajan’s request to work with him.

Question 64

If y = 5x2 + 3, then the tangent at x = 0, y = 3

Accepted Answer

is parallel to the x-axis

Answer

passes through x = 0, y = 0

Answer

has a slope of +1

Answer

has a slope of −1

General Aptitude - GATE XE (Engineering Sciences) Subject-Wise PYQ Practice

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