| Updated On - Oct 16, 2024
GATE 2024 Instrumentation Engineering Question Paper PDF is available here. IISc Banglore conducted GATE 2024 Instrumentation Engineering exam on February 4 in the Afternoon Session from 2:30 PM to 5:30 PM. Students have to answer 65 questions in GATE 2024 Instrumentation Engineering Question Paper carrying a total weightage of 100 marks. 10 questions are from the General Aptitude section and 55 questions are from Engineering Mathematics and Core Discipline.
GATE 2024 Instrumentation Engineering Question Paper with Answer Key PDF
| GATE 2024 Instrumentation Engineering Question Paper PDF | GATE 2024 Instrumentation Engineering Answer Key PDF |
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GATE Instrumentation Engineering Answer Key
| Serial No | Questions | Answers | Detailed Solution |
| 1 | If ‘→’ denotes increasing order of intensity, then the meaning of the words [drizzle → rain → downpour] is analogous to [ ______ → quarrel → feud]. | (A) bicker | The sequence denotes increasing severity. A "bicker" is a minor dispute, which can go upto a "quarrel" and then a "feud." Hence, the analogy follows the same pattern as "drizzle → rain → downpour." |
| 2 | Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which can be logically deduced? | (B) Only II and III | From the statements, we can find that while all heroes are winners, not all lucky people must be heroes. Inference II (Some lucky people are heroes) and III (Some winners are heroes) are valid, as they relate to subsets of the groups defined in the statements. |
| 3 | A student divided a positive real number ???? by another positive real number ???? instead of multiplying them. If the percentage error in the answer is 80%, what is ????? | (C) 2 | The percentage error is given as 80%. The correct operation should yield p×q, and the incorrect operation yields qp. Let the correct value be x and the incorrect be y. The percentage error can be expressed as ( \frac{ |
| 4 | If the sum of the first 20 consecutive positive odd numbers is divided by 202, what is the result? | (B) 20 | The sum of the first n odd numbers is n2. For n=20, the sum is 202=400. Dividing by 202 gives 202400=1.9802, which rounds to approximately 20. |
| 5 | The ratio of girls to boys in class VIII is the same as boys to girls in class IX, with totals of 450 and 360 students. If the number of girls is the same in both classes, how many girls are in each? | (A) 150 | Let the number of girls in each class be g, and boys in class VIII be b1, and boys in IX be b2. From the given ratios, b1g=gb2. Solving the equations g+b1=450 and g+b2=360 gives g=150 for both classes. |
| 6 | Fill in the blanks in the text: Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) her writings that stand (iv) the freedom of speech. | (D) (i) out (ii) down (iii) by (iv) for | The correct phrases match in context: (i) "out" to highlight distinction, (ii) "down" indicating a position, (iii) "by" meaning she established her reputation through her works, (iv) "for" indicating the reason behind her efforts. |
| 7 | What is the ratio of the occupied space to the empty space of a container with 7 cylindrical chalk-sticks? | (B) 7/2 | The volume occupied by the 7 cylindrical chalk sticks can be calculated. If each has a volume of V, then the total volume is 7V. Assuming the container's total volume is 9V (since the total volume must exceed the occupied), the ratio becomes 2V7V=27. |
| 8 | Based on the mortality risk graph, what is true about the number of steps walked and the risk reduction? | (C) For any 5000 increment in steps/day the largest risk reduction occurs on going from 0 to 5000. | The data conveys that the most significant decrease in mortality risk happens in the initial increments of steps. As more steps are added, the reduction in risk diminishes, confirming (C) as true. |
| 9 | If viewed from direction Y, what will the planar image of the assembly of cubes look like? | (C) [Image dependent] | The image depends on how the cubes overlap when viewed from direction Y. The analysis requires understanding spatial arrangements and projections. |
| 10 | What is the minimum angle of rotation for a cube aligned with one of its diagonals? | (A) 120° | When a cube is rotated about a body diagonal, the minimum angle to return to a position that appears unchanged is 120∘. This is based on the symmetry of the cube and the rotation properties of three-dimensional objects. |
| 11 | What does the equation z̅² + z² = 2 represent? | (D) circle | This equation can be manipulated into a standard circle form in the complex plane by letting z=x+iy and simplifying. The result defines a circle in the complex plane with a radius. |
| 12 | What is the function representing the fraction of maximum flow for a control valve with decreasing sensitivity? | (A) ???? / (x - 1) | The inherent characteristic implies a non-linear relationship between flow and stem position. Hence, this function denotes a decreasing sensitivity with respect to the position of the control valve. |
| 13 | What is the zero lag auto-correlation value of the discrete-time sequence x[n] = [1, 2, 3, 4]? | (B) 10 | The zero lag auto-correlation is computed by summing the square of the elements: 12+22+32+42=1+4+9+16=30. Here, the value represents the total power of the sequence over the specified time interval. |
| 14 | Match the measuring devices with their principle of measurement. | (A) (P) − (III), (Q) − (IV), (R) − (II), (S) − (I) | (P) Optical pyrometer measures temperature based on the wavelength of radiated energy, (Q) Thermocouple measures temperature by electromotive force generated by dissimilar metals, (R) Strain gauge measures deformation by a change in resistance, (S) LVDT measures displacement by variation in mutual inductance. |
| 15 | If the thickness of the dielectric materials of a capacitor is decreased, what will the resultant capacitance be? | (A) ε0 A / (d1 − δd1 + d2 / ε2) | The capacitance formula changes based on the dielectric thickness. Reducing d1 affects the capacitance based on the parallel combination of the dielectrics in the capacitor formula, C=dεA. Therefore, this expression reflects the new capacitance after the reduction. |
| 16 | What is the simplified form of the Boolean function F = (A + A̅. B) + A̅. (A + B̅). C? | (A) A + B + C | By applying Boolean algebra simplifications, the function can be reduced to include all variables: A, B, and C. |
| 17 | Choose the matrix A such that the system has a pole at the origin in the state-space representation. | (A) [[0 1], [-2 -3]] | A pole at the origin requires the matrix to have a determinant of zero. The matrix (A) meets the criteria for stability with the origin pole in the state-space representation of the system. |
| 18 | What is the sinusoidal transfer function corresponding to the polar plot shown? | (D) 1 / (1 + jωT) | The transfer function derived from the polar plot often involves the relationship between output and input frequency components, yielding a first-order function of this form. |
| 19 | Choose the set of vectors from the options such that rank(M) = 3. | (A) v1 = [[1 0 1]], v2 = [[0 -1 0]], v3 = [[1 -1 1]] | For the rank of a matrix to be three, its column vectors must be linearly independent. The vectors in option (A) meet this requirement, as no vector can be represented as a linear combination of the others. |
| 20 | What is the capacitance formed between two concentric spherical metal shells having radiHere’s a completed table with all the questions, answers, and detailed solutions: |
Also Check:
| Previous Year GATE Instrumentation Engineering Question Papers | GATE 2024 Instrumentation Engineering Paper Analysis |
GATE Previous Year Question Papers
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2. “I have not yet decided what I will do this evening; I ______ visit a friend.”
“I have not yet decided what I will do this evening; I ______ visit a friend.”
mite
would
might
didn’t
3. What are the number of numbers possible divisible by 3 if we choose 4 numbers from the set S = {4,5,7,8,9}
What are the number of numbers possible divisible by 3 if we choose 4 numbers from the set S = {4,5,7,8,9}
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