If a positive real x satisfies the following equation
log2x+log2x=48,
then the value of x is
GATE→2026→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
The next figure (indicated by '?') in the sequence is
GATE→2026→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.
GATE→2026→General Aptitude→Quantitative Aptitude
Q4
MCQ[2 Marks]
Consider a string P of length l that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length x they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii). The value of x/l is _______
GATE→2026→General Aptitude→Quantitative Aptitude
Q5
MCQ[2 Marks]
The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They are seated in rows and columns as shown in the figure with exactly one person sitting in each box. It is known that
(i) Meritorius' daughter and his brother are seated in the same column.
(ii) His son is seated diagonally across the sibling of the worst orator.
(iii) The best and worst orators are seated in the same row.
Who is the best orator?
GATE→2026→General Aptitude→Quantitative Aptitude
Q6
MCQ[2 Marks]
Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
GATE→2025→General Aptitude→Quantitative Aptitude
Q7
MCQ[1 Mark]
The 12 musical notes are given as C,C#,D,D#,E,F,F#,G,G#,A,A#, and B. Frequency of each note is 122 times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is:
GATE→2025→General Aptitude→Quantitative Aptitude
Q8
MCQ[1 Mark]
The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:
Note: The figures shown are representative.
GATE→2025→General Aptitude→Quantitative Aptitude
Q9
MCQ[1 Mark]
Which one of the following plots represents f(x)=−x∣x∣, where x is a non-zero real number?
Note: The figures shown are representative.
GATE→2025→General Aptitude→Quantitative Aptitude
Q10
MCQ[2 Marks]
A stick of length one meter is broken at two locations at distances of b1 and b2 from the origin (0), as shown in the figure. Note that 0<b1<b2<1. Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?
Note: All lengths are in meter. The figure shown is representative.
GATE→2025→General Aptitude→Quantitative Aptitude
Q11
MCQ[2 Marks]
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the 1st round, 4th student behind P leaves the game. After 2nd round, 5th student behind Q leaves the game. After 3rd round, 3rd student behind V leaves the game. After 4th round, 4th student behind U leaves the game. Who all are left in the game after the 4th round?
Note: The figure shown is representative.
GATE→2025→General Aptitude→Quantitative Aptitude
Q12
MCQ[2 Marks]
An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20% of the consulting fee, if the fee is up to ₹ 5,00,000. For higher fees, the overhead is ₹ 1,00,000 plus 10% of the amount by which the fee exceeds ₹ 5,00,000. The government charges a Goods and Services Tax of 18% on the total amount (the consulting fee plus the overhead). An employee of the organization charges this entire amount, i.e., the consulting fee, overhead, and tax, to the client. If the client cannot pay more than ₹ 10,00,000, what is the maximum consulting fee that the employee can charge?
GATE→2024→General Aptitude→Quantitative Aptitude
Q13
MCQ[1 Mark]
In a locality, the houses are numbered in the following way:
The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road.
If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is
GATE→2024→General Aptitude→Quantitative Aptitude
Q14
MCQ[1 Mark]
For positive integers p and q, with qp=1, (qp)qp=p(qp−1). Then,
GATE→2024→General Aptitude→Quantitative Aptitude
Q15
MCQ[1 Mark]
Which one of the given options is a possible value of x in the following sequence?
3,7,15,x,63,127,255
GATE→2024→General Aptitude→Quantitative Aptitude
Q16
MCQ[1 Mark]
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
GATE→2024→General Aptitude→Quantitative Aptitude
Q17
MCQ[2 Marks]
Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people.
How many unique seating arrangements are possible such that each person is sitting next to their twin?
GATE→2024→General Aptitude→Quantitative Aptitude
Q18
MCQ[2 Marks]
In the 4×4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule.
**Rule:** The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, diagonals).
As per this rule, the maximum number of crosses possible in the empty column is
GATE→2024→General Aptitude→Quantitative Aptitude
Q19
MCQ[2 Marks]
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85∘, the ratio of the Earth-Sun and Earth-Moon distances is closest to
GATE→2023→General Aptitude→Quantitative Aptitude
Q20
MCQ[1 Mark]
What is the smallest number with distinct digits whose digits add up to 45?
GATE→2023→General Aptitude→Quantitative Aptitude
Q21
MCQ[1 Mark]
In a class of 100 students,
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
GATE→2023→General Aptitude→Quantitative Aptitude
Q22
MCQ[1 Mark]
How many rectangles are present in the given figure?
GATE→2023→General Aptitude→Quantitative Aptitude
Q23
MCQ[2 Marks]
Which one of the following options represents the given graph?
GATE→2023→General Aptitude→Quantitative Aptitude
Q24
MCQ[2 Marks]
Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:
(i) Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.
(ii) Mix the samples within each set and test the mixed sample for covid.
(iii) If the test done in (ii) gives a negative result, then declare all the 5 individuals to be covid negative.
(iv) If the test done in (ii) gives a positive result, then all the 5 individuals are separately tested for covid.
Given this strategy, no more than ________ testing kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.
GATE→2023→General Aptitude→Quantitative Aptitude
Q25
MCQ[2 Marks]
A 100 cm×32 cm rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions 100 cm×1 cm.
The total number of creases visible when the sheet is unfolded is ________.
GATE→2022→General Aptitude→Quantitative Aptitude
Q26
MCQ[1 Mark]
A function y(x) is defined in the interval [0,1] on the x-axis as
y(x)=⎩⎨⎧231if 0≤x<31if 31≤x<43if 43≤x≤1
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
Q27
MCQ[1 Mark]
Let r be a root of the equation x2+2x+6=0.
Then the value of the expression (r+2)(r+3)(r+4)(r+5) is
GATE→2022→General Aptitude→Quantitative Aptitude
Q28
MCQ[1 Mark]
A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters: **A** and **D**.
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. The player should use all the five plates exactly once. The plates can be rotated in their plane.
GATE→2022→General Aptitude→Quantitative Aptitude
Q29
MCQ[2 Marks]
In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.
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
Q30
MCQ[2 Marks]
A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.
First ball is drawn. What is the probability of getting an orange ball in the next draw?
GATE→2022→General Aptitude→Quantitative Aptitude
Q31
MCQ[2 Marks]
The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements:
* The line joining P and R is parallel to the line joining Q and S.
* P is placed on the side opposite to the corner T.
* S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information?
GATE→2022→General Aptitude→Quantitative Aptitude
Q32
MCQ[2 Marks]
A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved.
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.
Data Interpretation
3 Questions
GATE→2026→General Aptitude→Data Interpretation
Q33
MCQ[2 Marks]
The table lists the unit selling price of five products P, Q, R, S, and T. On a particular day, 250 items were sold with the average selling price of Rs. 60. The following observations were made:
(i) The quantity of S sold was twice that of T.
(ii) The quantity of R sold was thrice that of T.
(iii) The quantity of Q sold was four times that of T.
| Product | Unit selling price (Rs.) |
| :---: | :---: |
| P | 100 |
| Q | 60 |
| R | 60 |
| S | 40 |
| T | 50 |
What is the quantity of product P sold on that day?
GATE→2025→General Aptitude→Data Interpretation
Q34
MCQ[2 Marks]
The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?
| Nation | Gold | Silver | Bronze |
| :--- | :---: | :---: | :---: |
| USA | 40 | 44 | 41 |
| Canada | 39 | 27 | 24 |
| Japan | 20 | 12 | 13 |
| Australia | 19 | 17 | 16 |
| France | 16 | 26 | 22 |
GATE→2024→General Aptitude→Data Interpretation
Q35
MCQ[2 Marks]
The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h).
The Capacity Factor of a power generation technology is:
Capacity Factor=Installed Capacity (MW)×1000 (h)Electricity Generation (MWh)
Which one of the given technologies has the highest Capacity Factor?
Verbal Ability
15 Questions
GATE→2026→General Aptitude→Verbal Ability
Q36
MCQ[1 Mark]
'The team _______ more than 300 runs in 20 overs _______ rains. However, some players needed to improve their batting skills.'
Choose the option with the correct sequence of words to fill the blanks.
GATE→2026→General Aptitude→Verbal Ability
Q37
MCQ[1 Mark]
'All the mangoes in the basket are good.'
If the above statement is false, then which one of the following statements is necessarily true?
GATE→2026→General Aptitude→Verbal Ability
Q38
MCQ[2 Marks]
'People are crowding around _______ pit into which _______ elephant has fallen. I have never seen an elephant looking more bewildered _______ miserable. Here it is in a most undignified position, thrust into a pit and made to look up _______ a vast, curiosity-stricken crowd.'
Choose the option with the correct sequence of words to fill the blanks.
GATE→2025→General Aptitude→Verbal Ability
Q39
MCQ[1 Mark]
Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Group-I: Abuse→Insult→Ridicule
Group-II: →Praise→Appreciate
GATE→2025→General Aptitude→Verbal Ability
Q40
MCQ[1 Mark]
Had I learnt acting as a child, I ________ a famous film star.
Select the most appropriate option to complete the above sentence.
GATE→2025→General Aptitude→Verbal Ability
Q41
MCQ[2 Marks]
Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:
P. Over time, such adaptations lead to significant evolutionary changes with the potential to shape the development of new species.
Q. In natural world, organisms constantly adapt to their environments in response to challenges and opportunities.
R. This process of adaptation is driven by the principle of natural selection, where favorable traits increase an organism's chances of survival and reproduction.
S. As environments change, organisms that can adapt their behavior, structure and physiology to such changes are more likely to survive.
GATE→2024→General Aptitude→Verbal Ability
Q42
MCQ[1 Mark]
If '→' denotes increasing order of intensity, then the meaning of the words [simmer→seethe→smolder] is analogous to [break→raze→].
Which one of the given options is appropriate to fill the blank?
GATE→2024→General Aptitude→Verbal Ability
Q43
MCQ[2 Marks]
In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.
From the ancient Athenian arena to the modern Olympic stadiums, athletics (i) the potential for a spectacle. The crowd (ii) with bated breath as the Olympian artist twists his body, stretching the javelin behind him. Twelve strides in, he begins to cross-step. Six cross-steps (iii) in an abrupt stop on his left foot. As his body (iv) like a door turning on a hinge, the javelin is launched skyward at a precise angle.
GATE→2023→General Aptitude→Verbal Ability
Q44
MCQ[1 Mark]
"I cannot support this proposal. My ________ will not permit it."
GATE→2023→General Aptitude→Verbal Ability
Q45
MCQ[1 Mark]
Courts : ________ :: Parliament : Legislature
(By word meaning)
GATE→2023→General Aptitude→Verbal Ability
Q46
MCQ[2 Marks]
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred with certainty?
GATE→2023→General Aptitude→Verbal Ability
Q47
MCQ[2 Marks]
Which one of the following options can be inferred from the given passage alone?
> When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine that I could just gaze off into space and be whisked to another planet.
> *[Excerpt from The Truth about Stories by T. King]*
GATE→2022→General Aptitude→Verbal Ability
Q48
MCQ[1 Mark]
The ________ is too high for it to be considered ________.
GATE→2022→General Aptitude→Verbal Ability
Q49
MCQ[1 Mark]
Given below are four statements.
* **Statement 1:** All students are inquisitive.
* **Statement 2:** Some students are inquisitive.
* **Statement 3:** No student is inquisitive.
* **Statement 4:** Some students are not inquisitive.
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→Verbal Ability
Q50
MCQ[2 Marks]
Some people believe that "what gets measured, improves". Some others believe that "what gets measured, gets gamed". One possible reason for the difference in the beliefs is the work culture in organizations. In organizations with good work culture, metrics help improve outcomes. However, the same metrics are counterproductive in organizations with poor work culture.
Which one of the following is the CORRECT logical inference based on the information in the above passage?