The figure shows three non-overlapping shapes (one oval and two triangles). Which one of the figures P, Q, R, or S fits the missing portion indicated by '?'?
GATE→2026→General Aptitude→Quantitative Aptitude
Q2
MCQ[1 Mark]
At how many points will the curves y = x^2 and y = -x^2 - 2x - 1 intersect in the real (x, y) plane?
GATE→2026→General Aptitude→Quantitative Aptitude
Q3
MCQ[1 Mark]
Which one of the following figures P, Q, R, or S correctly shows the 45° clockwise-rotated version of figure (I)?
GATE→2026→General Aptitude→Quantitative Aptitude
Q4
MCQ[2 Marks]
In the given figure, PQ is the diameter of a circle with center O. Points R and S are on the circle with angle ROS = 80°. PR and QS extended meet at T. The value of angle RTS is
GATE→2026→General Aptitude→Quantitative Aptitude
Q5
MCQ[2 Marks]
Based on the relationship between each polygon and the number inside it (6, 24, 120, X), the value of X is
GATE→2026→General Aptitude→Quantitative Aptitude
Q6
MCQ[2 Marks]
Consider a linear arrangement of seven bulbs with specific transition rules applied at each step. The number of bulbs which are ON at the end of Step 8 is
GATE→2026→General Aptitude→Quantitative Aptitude
Q7
MCQ[2 Marks]
P and Q are two positive integers such that P^2 = Q^2 + 13. The product of the numbers P and Q is
GATE→2025→General Aptitude→Quantitative Aptitude
Q8
MCQ[1 Mark]
The relationship between variables x and y is given by x + py + q = 0 and shown in the representative figure. Find p and q.
GATE→2025→General Aptitude→Quantitative Aptitude
Q9
MCQ[1 Mark]
Match the items in Column-I (such as Animals, Zebra, Giraffe) with the appropriate Venn diagram representations in Column-II.
GATE→2025→General Aptitude→Quantitative Aptitude
Q10
MCQ[1 Mark]
What is the value of ((3^81) / (27^4))^(1/3)?
GATE→2025→General Aptitude→Quantitative Aptitude
Q11
MCQ[2 Marks]
In the given circular coded figure where EF = 30 and HJ = 80, find the appropriate values for entries (i) and (ii).
GATE→2025→General Aptitude→Quantitative Aptitude
Q12
MCQ[2 Marks]
For unit diameter spheres at integer coordinates (l, m, n), let x be distance to nearest sphere and y to next nearest. Find y/x.
GATE→2025→General Aptitude→Quantitative Aptitude
Q13
MCQ[2 Marks]
In triangle PQR with PT:TR = 3:2 and ST parallel to QR, semicircles on PS and PQ form shaded area PQS. Which statement is true?
GATE→2024→General Aptitude→Quantitative Aptitude
Q14
MCQ[1 Mark]
P wants a study table near the window for bird watching, and Q wants his bed close to the ceiling fan. Which room arrangement suits them best?
GATE→2024→General Aptitude→Quantitative Aptitude
Q15
MCQ[1 Mark]
Express the decimal number 108 in the octal number system.
GATE→2024→General Aptitude→Quantitative Aptitude
Q16
MCQ[1 Mark]
A customer pays 3,186.00 per shirt including 18% tax. The shopkeeper sells at 20% profit. What was the cost price from the producer?
GATE→2024→General Aptitude→Quantitative Aptitude
Q17
MCQ[1 Mark]
If x:y = (a+1):(a-1) for a > 1, find the ratio (x^2 - y^2):(x^2 + y^2).
GATE→2024→General Aptitude→Quantitative Aptitude
Q18
MCQ[2 Marks]
Given geometric figure with rhombus AFCD and dimensions, find the length of BF in cm.
GATE→2024→General Aptitude→Quantitative Aptitude
Q19
MCQ[2 Marks]
If rack A translates towards the right in the pinion-rack gear assembly, which statement is correct?
GATE→2024→General Aptitude→Quantitative Aptitude
Q20
MCQ[2 Marks]
In triangle ABC with base AB = 200 m and base angles 87.8°, find the distance of vertex C from the center of AB.
GATE→2023→General Aptitude→Quantitative Aptitude
Q21
MCQ[1 Mark]
What is the probability of rolling a '1' on the first roll and a '4' on the second roll of a fair six-sided die?
GATE→2023→General Aptitude→Quantitative Aptitude
Q22
MCQ[1 Mark]
How many triangles are present in the given figure?
GATE→2023→General Aptitude→Quantitative Aptitude
Q23
MCQ[2 Marks]
Based on registration rules and the fact that none from Human Sciences registered, which statements can be logically inferred?
GATE→2023→General Aptitude→Quantitative Aptitude
Q24
MCQ[2 Marks]
Which of the following options represents the given graph?
GATE→2023→General Aptitude→Quantitative Aptitude
Q25
MCQ[2 Marks]
What is the unit's place digit of the product 3^{999} * 7^{1000}?
GATE→2023→General Aptitude→Quantitative Aptitude
Q26
MCQ[2 Marks]
A square of side 6 cm has two semicircles on its sides as boundaries. Find the area of the shaded region.
GATE→2022→General Aptitude→Quantitative Aptitude
Q27
MCQ[1 Mark]
In a 500 m race, P and Q have speeds in the ratio 3:4. Q starts when P has covered 140 m. What is the distance between P and Q when P wins?
GATE→2022→General Aptitude→Quantitative Aptitude
Q28
MCQ[1 Mark]
Bells P, Q, R ring every 20, 30, and 50 minutes. If rung together at 12:00 PM, when will they ring together next?
GATE→2022→General Aptitude→Quantitative Aptitude
Q29
MCQ[1 Mark]
Given 'Some bottles are cups' and 'All cups are knives', which conclusions (I. Some bottles are knives, II. Some knives are cups, etc.) are valid?
GATE→2022→General Aptitude→Quantitative Aptitude
Q30
MCQ[1 Mark]
A disc with identical front/rear patterns is flipped w.r.t. axes 1-1, 2-2, or 3-3. What is the probability that it DOES NOT retain the same views?
GATE→2022→General Aptitude→Quantitative Aptitude
Q31
MCQ[2 Marks]
Two dice with faces Q, R, S, T, U, V are thrown. What is the probability that both outcomes are chosen only from {Q, U, V}?
GATE→2022→General Aptitude→Quantitative Aptitude
Q32
MCQ[2 Marks]
Store S is 10% cheaper than M but charges 150 delivery (M is free). Buying from S saves 100. What is the price at store S?
GATE→2022→General Aptitude→Quantitative Aptitude
Q33
MCQ[2 Marks]
Letters P, Q, R, S, T, U are placed on the vertices of a regular hexagon with specific geometric relations. Which option is correct?
GATE→2022→General Aptitude→Quantitative Aptitude
Q34
MCQ[2 Marks]
An ant at grid corner P moves towards the top-right such that distance strictly decreases. Which figure shows a valid trajectory part?
Data Interpretation
3 Questions
GATE→2025→General Aptitude→Data Interpretation
Q35
MCQ[2 Marks]
Based on the course scores of students P and Q given in the table, which statement is INCORRECT?
GATE→2024→General Aptitude→Data Interpretation
Q36
MCQ[2 Marks]
Based on the chart showing car purchases by Millennials and Gen X and fuel consumption from 2010 to 2020, which statement is true?
GATE→2023→General Aptitude→Data Interpretation
Q37
MCQ[1 Mark]
Based on the survey showing 65% advised to stop and 3 out of 10 attempting to stop, which statement can be logically inferred?
Verbal Ability
13 Questions
GATE→2026→General Aptitude→Verbal Ability
Q38
MCQ[1 Mark]
In the sentence 'The shopkeeper sells lemons.', the word 'lemons' is the
GATE→2026→General Aptitude→Verbal Ability
Q39
MCQ[1 Mark]
Based on the provided paragraph regarding Anish's match performance and captaincy, which statement is true?
GATE→2026→General Aptitude→Verbal Ability
Q40
MCQ[2 Marks]
Match the words in Column I with their synonyms in Column II:
Column I: (i) Lonely, (ii) Literal, (iii) Lousy, (iv) Lethal
Column II: (p) Verbatim, (q) Solitary, (r) Deadly, (s) Terrible
GATE→2025→General Aptitude→Verbal Ability
Q41
MCQ[1 Mark]
Kavya didn't go to work yesterday as she ... feeling well. Select the most appropriate option to complete the sentence.
GATE→2025→General Aptitude→Verbal Ability
Q42
MCQ[1 Mark]
Good : Evil :: Genuine : ... Select the most appropriate option to complete the analogy.
GATE→2025→General Aptitude→Verbal Ability
Q43
MCQ[2 Marks]
Identify the correct sentence sequence to form a coherent paragraph about tigers and deer hunting.
GATE→2024→General Aptitude→Verbal Ability
Q44
MCQ[1 Mark]
If '->' denotes increasing order of intensity, then the meaning of the words [talk -> shout -> scream] is analogous to [please -> ... -> pander]. Which one of the given options is appropriate to fill the blank?
GATE→2024→General Aptitude→Verbal Ability
Q45
MCQ[2 Marks]
Select the correct prepositions to fill the blanks in the sentence.
GATE→2023→General Aptitude→Verbal Ability
Q46
MCQ[1 Mark]
Rafi told Mary, "I am thinking of watching a film this weekend." Report this statement in indirect speech: Rafi told Mary that he ... of watching a film that weekend.
GATE→2023→General Aptitude→Verbal Ability
Q47
MCQ[1 Mark]
Complete the analogy based on word meanings: Permit : ... :: Enforce : Relax
GATE→2023→General Aptitude→Verbal Ability
Q48
MCQ[2 Marks]
Which option does NOT describe or follow from the passage about cancer and cellular machinery metaphors?
GATE→2022→General Aptitude→Verbal Ability
Q49
MCQ[1 Mark]
As you grow older, an injury to your ... may take longer to ... Select the correct homophones to fill the blanks.
GATE→2022→General Aptitude→Verbal Ability
Q50
MCQ[2 Marks]
Based on the passage about altruism (motivated by social bonding/group identification, not empathy or guilt), which inference is correct?