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GATE-openmentor
Type:

Quantitative Aptitude

34 Questions
GATE→2026→General Aptitude→Quantitative Aptitude
Q1
MCQ[1 Mark]
The figure shows two 4-tile patterns. Either one or both of the patterns can be used any number of times and in any orientation to construct a new pattern. Which one of the options below cannot be constructed by using only these two 4-tile patterns assuming there are no overlaps among them?
Figure for Question 1
GATE→2026→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
Consider a knock-out women's badminton singles tournament where there are no ties. The loser in each game is eliminated from the tournament. Every player plays until she is defeated or remains the last undefeated player. The last undefeated player is declared the winner of the tournament. If there are 64 players in the beginning of the tournament, how many games should be played in total to declare the winner of the tournament?
GATE→2026→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
A student needs to enroll for a minimum of 60 credits. A student cannot enroll for more than 70 credits. The credits are divided amongst project and three distinct sets of courses namely, core courses, specialization courses, and elective courses. It is compulsory for a student to enroll for exactly 15 credits of core courses and exactly 20 credits of project. In addition, a student has to enroll for a minimum of 10 credits of specialization courses. The maximum credits of elective courses that a student can enroll for is
GATE→2026→General Aptitude→Quantitative Aptitude
Q4
MCQ[2 Marks]
In Panel I of the figure below, the front view and top view of a structure are shown. Which one of the 3D structures shown in Panel II possesses the views shown in Panel I?
Figure for Question 4
GATE→2026→General Aptitude→Quantitative Aptitude
Q5
MCQ[2 Marks]
For positive real numbers S and K, the function H_K(S) is defined as: H_K(S) = max(S-K, 0)... The graph below shows the plot of a function N(S) versus S. N(S) can be expressed as
Figure for Question 5
GATE→2026→General Aptitude→Quantitative Aptitude
Q6
MCQ[2 Marks]
In the 2020 summer Olympics' Javelin throw finals... In which round did Vitezlav Vesely have his best throw?
GATE→2026→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
An unbiased six-faced dice... rolled twice in succession... The probability that the number appearing in the second roll is an integer multiple of the number appearing in the first roll is
GATE→2025→General Aptitude→Quantitative Aptitude
Q8
MCQ[1 Mark]
The average marks obtained by a class in an examination were calculated as 30.8. However, while checking the marks entered, the teacher found that the marks of one student were entered incorrectly as 24 instead of 42. After correcting the marks, the average becomes 31.4. How many students does the class have?
GATE→2025→General Aptitude→Quantitative Aptitude
Q9
MCQ[1 Mark]
Consider the relationships among P, Q, R, S, and T: P is the brother of Q. S is the daughter of Q. T is the sister of S. R is the mother of Q. The following statements are made based on the relationships given above. (1) R is the grandmother of S. (2) P is the uncle of S and T. (3) R has only one son. (4) Q has only one daughter. Which one of the following options is correct?
GATE→2025→General Aptitude→Quantitative Aptitude
Q10
MCQ[1 Mark]
According to the map shown in the figure, which one of the following statements is correct?
Figure for Question 10
GATE→2025→General Aptitude→Quantitative Aptitude
Q11
MCQ[2 Marks]
In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?
Figure for Question 11
GATE→2025→General Aptitude→Quantitative Aptitude
Q12
MCQ[2 Marks]
A fair six-faced dice, with the faces labelled '1', '2', '3', '4', '5', and '6', is rolled thrice. What is the probability of rolling '6' exactly once?
GATE→2025→General Aptitude→Quantitative Aptitude
Q13
MCQ[2 Marks]
A square paper, shown in figure (I), is folded along dotted lines and cut as shown in figure (IV). Which pattern will be obtained when unfolded?
Figure for Question 13
GATE→2025→General Aptitude→Quantitative Aptitude
Q14
MCQ[2 Marks]
A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?
GATE→2024→General Aptitude→Quantitative Aptitude
Q15
MCQ[1 Mark]
If two distinct non-zero real variables x and y are such that (x+y) is proportional to (x-y) then the value of y/x is a constant.
GATE→2024→General Aptitude→Quantitative Aptitude
Q16
MCQ[1 Mark]
Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13. The median of the sample is
GATE→2024→General Aptitude→Quantitative Aptitude
Q17
MCQ[1 Mark]
The number of coins of ₹1, 25 paise, and 10 paise denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in 25 paise coins is
GATE→2024→General Aptitude→Quantitative Aptitude
Q18
MCQ[1 Mark]
For positive non-zero real variables p and q, if log(p^2 + q^2) = log p + log q + 2 log 3, then, the value of (p^4 + q^4)/(p^2 q^2) is
GATE→2024→General Aptitude→Quantitative Aptitude
Q19
MCQ[2 Marks]
A rectangular paper sheet of dimensions 54 cm x 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
GATE→2024→General Aptitude→Quantitative Aptitude
Q20
MCQ[2 Marks]
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The total fat (all three types), in grams, this person consumes is
Figure for Question 20
GATE→2024→General Aptitude→Quantitative Aptitude
Q21
MCQ[2 Marks]
A rectangular paper of 20 cm x 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
GATE→2024→General Aptitude→Quantitative Aptitude
Q22
MCQ[2 Marks]
The least number of squares to be added in the figure to make AB a line of symmetry is
Figure for Question 22
GATE→2023→General Aptitude→Quantitative Aptitude
Q23
MCQ[1 Mark]
A series of natural numbers F1, F2, F3, F4, F5, F6, F7, ... obeys F_(n+1) = F_n + F_(n-1) for all integers n >= 2. If F6 = 37 and F7 = 60, then what is F1?
GATE→2023→General Aptitude→Quantitative Aptitude
Q24
MCQ[1 Mark]
Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?
GATE→2023→General Aptitude→Quantitative Aptitude
Q25
MCQ[2 Marks]
Consider two functions of time (t), f(t) = 0.01 t^2 and g(t) = 4 t for 0 < t < \infty. Now consider the following two statements: (i) For some t > 0, g(t) > f(t). (ii) There exists a T, such that f(t) > g(t) for all t > T. Which one of the following options is TRUE?
GATE→2023→General Aptitude→Quantitative Aptitude
Q26
MCQ[2 Marks]
f(x) and g(y) are functions of x and y, respectively, and f(x) = g(y) for all real values of x and y. Which one of the following options is necessarily TRUE for all x and y?
GATE→2023→General Aptitude→Quantitative Aptitude
Q27
MCQ[2 Marks]
Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?
Figure for Question 27
GATE→2022→General Aptitude→Quantitative Aptitude
Q28
MCQ[1 Mark]
A function y(x) is defined in the interval [0, 1] on the x-axis... Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?
GATE→2022→General Aptitude→Quantitative Aptitude
Q29
MCQ[1 Mark]
Let r be a root of the equation x^2 + 2x + 6 = 0. Then the value of the expression (r+2)(r+3)(r+4)(r+5) is
GATE→2022→General Aptitude→Quantitative Aptitude
Q30
MCQ[1 Mark]
From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome?
GATE→2022→General Aptitude→Quantitative Aptitude
Q31
MCQ[2 Marks]
Which one of the following is the correct logical inference based on the information provided in the above passage?
GATE→2022→General Aptitude→Quantitative Aptitude
Q32
MCQ[2 Marks]
First ball is drawn. What is the probability of getting an orange ball in the next draw?
GATE→2022→General Aptitude→Quantitative Aptitude
Q33
MCQ[2 Marks]
Which one of the following statements is correct based on the above information?
GATE→2022→General Aptitude→Quantitative Aptitude
Q34
MCQ[2 Marks]
What is the least number of additional straight ropes needed to create the desired plots? A single rope can pass through three poles that are aligned in a straight line.
Figure for Question 34

Data Interpretation

6 Questions
GATE→2026→General Aptitude→Data Interpretation
Q35
MCQ[2 Marks]
Combinatorics deals with problems involving counting... Consider the following statements: P: Combinatorics is always invoked in the modeling of physical phenomena. Q: Modeling some physical phenomena involves assigning probabilities to combinatorial possibilities in order to compute average values of physical quantities. Based on the passage above, what can be inferred about statements P and Q?
GATE→2025→General Aptitude→Data Interpretation
Q36
MCQ[2 Marks]
Based only on the information provided in the passage, which one of the following statements is true?
GATE→2023→General Aptitude→Data Interpretation
Q37
MCQ[1 Mark]
A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers. Given this information, which one of the following statements can be inferred with certainty?
GATE→2023→General Aptitude→Data Interpretation
Q38
MCQ[2 Marks]
Based only on the information provided above, which one of the following statements can be logically inferred with certainty?
GATE→2022→General Aptitude→Data Interpretation
Q39
MCQ[1 Mark]
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.
GATE→2022→General Aptitude→Data Interpretation
Q40
MCQ[2 Marks]
Which one of the following is the CORRECT logical inference based on the information in the above passage?

Verbal Ability

9 Questions
GATE→2026→General Aptitude→Verbal Ability
Q41
MCQ[1 Mark]
The antonym of the word protagonist is
GATE→2026→General Aptitude→Verbal Ability
Q42
MCQ[1 Mark]
'When the teacher is in the room, all students stand silently.' If the above statement is true, which one of the following statements is not necessarily true?
GATE→2025→General Aptitude→Verbal Ability
Q43
MCQ[1 Mark]
Ravi had ___ younger brother who taught at ___ university. He was widely regarded as ___ honorable man. Select the option with the correct sequence of articles to fill in the blanks.
GATE→2025→General Aptitude→Verbal Ability
Q44
MCQ[1 Mark]
The CEO's decision to downsize the workforce was considered myopic because it sacrificed long-term stability to accommodate short-term gains. Select the most appropriate option that can replace the word "myopic" without changing the meaning of the sentence.
GATE→2024→General Aptitude→Verbal Ability
Q45
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [dry -> arid -> parched] is analogous to [diet -> fast -> _]. Which one of the given options is appropriate to fill the blank?
GATE→2024→General Aptitude→Verbal Ability
Q46
MCQ[2 Marks]
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
GATE→2023→General Aptitude→Verbal Ability
Q47
MCQ[1 Mark]
We reached the station late, and ___ missed the train.
GATE→2023→General Aptitude→Verbal Ability
Q48
MCQ[2 Marks]
Which one of the following sentence sequences creates a coherent narrative?
GATE→2022→General Aptitude→Verbal Ability
Q49
MCQ[1 Mark]
The ___ is too high for it to be considered ___