Q: In an RSA system, the public key of a given user is e = 65, n = 2881. What is the private key of this user?
(a)638
(b)725
(c)2031
(d)3031
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ESE General Studies Questions
64 previous year questions
Sub-topics
Miscellaneous (64)
Q: Consider the following statements regarding Risk-Benefit Analysis: The major reason for the analysis of the risk benefit are 1. to know risks and benefits and weigh them each. 2. to decide on designs, advisability of product/project. 3. to suggest and modify the design so that the risks are eliminated or reduced. Which of the above statements are correct?
(a)1 and 2 only
(b)2 and 3 only
(c)1 and 3 only
(d)1, 2 and 3
Q: The value of integral ∫ (from y = 0 to √2) ∫ (from x = −√(4 − 2y²) to √(4 − 2y²)) y dx dy is
(a)3⁄8
(b)8⁄3
(c)5⁄8
(d)8⁄5
Q: What is the missing (?) value ?
(a)6
(b)4
(c)5
(d)2
Q: What does this diagram demonstrate?
(a)1² + 2² + 3² + … + n² = n(n + 1)(2n + 1) ⁄ 6
(b)1 + 2 + 3 + … + n = n(n + 1) ⁄ 2
(c)2² + 4² + 6² + … + (2n)² = 2n(n + 1)(2n + 1) ⁄ 3
(d)None of the above
Q: What is the missing (?) letter?
(a)H
(b)Z
(c)L
(d)Y
Q: Nandini walks a distance of 1 km towards North. She then turns left and walks 1 km. Finally she turns right at an angle of 45° and starts walking. In which direction is she moving finally?
(a)South-West
(b)North-West
(c)North-East
(d)South-East
Q: Ramesh starts walking from point 'A'. He walks 12 km towards North, from there he turns right and walks 4 km, then he again turns right and walks 9 km. How far and in which direction is he from his starting point?
(a)13 km East
(b)13 km South
(c)5 km North
(d)5 km North-East
Q: Two trains 120 m and 80 m length are running in opposite direction with velocities 42 km/hour and 30 km/hour respectively. To cross each other completely, the time taken will be
(a)10 sec
(b)15 sec
(c)18 sec
(d)20 sec
Q: A man spends 2⁄5 of his salary on groceries and 3⁄10 of the remaining on his clothes. If he saves ₹10,500, his monthly salary will be
(a)₹30,000
(b)₹15,000
(c)₹20,000
(d)₹25,000
Q: If 𝐯⃗ = (xyz) î + (3x²y) ĵ + (xz² – y²z) k̂, the value of divergence of 𝐯⃗ at point (2, –1, 1) will be
(a)14
(b)16
(c)18
(d)20
Q: Which of the following projections is not a type of parallel projection?
(a)Conic projection
(b)Oblique projection
(c)Orthogonal projection
(d)Curvilinear projection
Q: Which one of the following charts is used in the control charts for monitoring service quality characteristics for number of daily customer complaints in a hotel?
(a)R-chart
(b)X̄-chart
(c)p-chart
(d)c-chart
Q: Nitrate when present in excess in drinking water causes
(a)Fluorosis
(b)Minamata
(c)Blue baby syndrome
(d)Itai-itai
Q: The Knoop’s Hardness Number (KHN) is
(a)PC / L²
(b)P / L² C
(c)(P + C) / L²
(d)P / (L² − C)
Q: Manufacturing, selling or transporting products (liquor and narcotics) that are prohibited by law, is called
(a)Industrial espionage
(b)White-collared crimes
(c)Bootlegging
(d)Glitching
Q: The continuous-time signal f(t) = e^{−2ωt}, where ω is a real constant, is sampled when t ≥ 0 at intervals T. What is the z-transform of the resulting sequence of samples?
(a)z / (z − e^{−2ωT})
(b)z / (1 − e^{−2ωT})
(c)z / (z − e^{−ωT})
(d)z / (z − e^{2ωT})
Q: If Y(z) = z / (z² − z + 1), then the inverse z-transform of Y(z) is
(a)(1/√3) sin(⅓ kπ)
(b)(2/√3) sin(⅓ kπ)
(c)(2/√3) cos(⅓ kπ)
(d)(2/√3) sin(kπ)
Q: What is the contour integral ∮_C z² dz along the path C from −1 + j to 5 + 3j and composed of two straight-line segments, the first from −1 + j to 5 + j and the second from 5 + j to 5 + 3j?
(a)−4 + (196/3) j
(b)−4 − (196/3) j
(c)4 − (196/3) j
(d)4 + (196/3) j
Q: What is the integral ∫_1^2 ∫_y^{√y} √(x ⁄ y)·e^{√y} dx dy ?
(a)2e(e + 2)
(b)2e(1 – e)
(c)2e(e – 2)
(d)2e(1 + e)
Q: Fourier transform of f(t) = { sin a t, |t| ≤ π ⁄ a ; 0, |t| > π ⁄ a } is
(a)2j sin π ω ⁄ a ⁄ (−a² − ω²)
(b)j sin π ω ⁄ a ⁄ (−a² − ω²)
(c)j sin π ω ⁄ a ⁄ (a² − ω²)
(d)2a j sin π ω ⁄ a ⁄ (ω² − a²)
Q: Anuhya picks a number. She doubles the number, squares the result, divides the square by 3, subtracts 30 from the quotient, and gets 18. What are the possible numbers that Anuhya could have picked?
(a)6 or −6
(b)16 or −16
(c)26 or −26
(d)36 or −36
Q: A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 in a parcel, he is left one; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?
(a)106
(b)301
(c)309
(d)400
Q: Which one of the languages is used to develop the web pages in the structured and for automated processing?
(a)eXtensible Markup Language
(b)Hypertext Markup Language
(c)eXtended Hyper Text Markup Language
(d)Markup Language
Q: What are the three stages in the Development of Professional Identity?
(a)Possessing Knowledge, Professional Services, Self-Defining or Integrated Professional
(b)Independent Operator, Professional Services, Self-Defining or Integrated Professional
(c)Possessing Knowledge, Team-Oriented Idealist, Self-Defining or Integrated Professional
(d)Independent Operator, Team-Oriented Idealist, Self-Defining or Integrated Professional
Q: Which one of the following is/are used for drawing curves which cannot be drawn with a compass?
(a)Scale
(b)Protractor
(c)French curves
(d)Set square
Q: Which one of the following tables is used by operating system to keep the track of many I/O requests at the same time?
(a)File allocation table
(b)Device-status table
(c)Memory-status table
(d)Interrupt driven table
Q: Which one of the following lines is used to represent the outlines of adjacent parts or alternative and extreme positions of movable parts?
(a)Continuous thick line
(b)Continuous thin line
(c)Chain thin double-dashed line
(d)Dashed thin line
Q: Rohith went 15 km to the west from his house, then he turned left and walked 20 km. He then turned east and walked 25 km and finally turning left covered 20 km. How far is he from his house ?
(a)5 km
(b)10 km
(c)40 km
(d)80 km
Q: What letter should replace the question mark ? J A G H L N E I M S P ?
(a)Z
(b)Y
(c)X
(d)W
Q: Suppose you enter an elevator at a certain floor. Then the elevator moves up 5 floors, down 3 floors, and up 2 floors. If you are then at the 8th floor, on what floor did you first enter the elevator ?
(a)8
(b)7
(c)6
(d)9
Q: What is the correct alternative for the question mark ? 2, 3, 8, 63, ?
(a)1038
(b)1998
(c)3008
(d)3968
Q: 'Bahujan Hitaya : Bahujan Sukhaya' is the motto of
(a)Central Board of Film Certification
(b)Indian Railways
(c)Doordarshan
(d)All India Radio
Q: Which one of the following is NOT a type of virtue for responsible professionalism?
(a)Public-spirited virtue
(b)Teamwork virtue
(c)Self-realization virtue
(d)Self-direction virtue
Q: Two boys begin together to write out a booklet containing 817 lines. The first boy starts with first line, writing at the rate of 200 lines an hour and the second boy starts with the last line. He writes line 817 and so on backwards proceeding at the rate of 150 lines an hour. At what line will they meet?
(a)469th
(b)467th
(c)465th
(d)463rd
Q: The value of L⁻¹ [ (5s² + 8s − 1) / ((s + 3)(s² + 1)) ] is
(a)2e^{−3t} + 3 cos t − sin t
(b)2e^{−3t} − 3 cos t + sin t
(c)2e^{3t} + 2 cos t − sin t
(d)3e^{−3t} − 2 cos t + sin t
Q: What is the Laplace transform of 2e^{3t}(4 cos 2t − 5 sin 2t)?
(a)(8s + 44)/(s² + 6s − 13)
(b)(4s − 44)/(s² − 6s + 13)
(c)(4s + 44)/(s² + 6s − 13)
(d)(8s − 44)/(s² − 6s + 13)
Q: The value of ∫₀⁴ √(16 − x²) dx is
(a)π
(b)2π
(c)3π
(d)4π
Q: Continuous thin (narrow) with zigzags (straight) lines are generally used to represent
(a)long-break line
(b)hidden outline
(c)visible outline
(d)reference line
Q: Which one of the following protocols is used to address the true routing decisions problems ?
(a)Exterior Gateway Protocol
(b)Border Gateway Protocol
(c)Open Shortest Path First Protocol
(d)Interior Gateway Routing Protocol
Q: Which one of the following standards is used in vehicular communication system ?
(a)IEEE 802.11a
(b)IEEE 802.11p
(c)IEEE 802.11g
(d)IEEE 802.11h
Q: Which one of the following documents are created and handled by the Common Gateway Interface (CGI) technology ?
(a)Dynamic documents
(b)Static documents
(c)Tampered documents
(d)Linked documents
Q: If (x + 1)/(x − 1) = a/b and (1 − y)/(1 + y) = b/a, then the value of (x − y)/(1 + xy) is
(a)2ab / (a² − b²)
(b)(a² − b²) / 2ab
(c)(a² + b²) / 2ab
(d)(a² − b²) / ab
Q: If (2x + 3y) : (3x + 5y) = 18 : 29, then the value of x : y is
(a)4 : 1
(b)4 : 5
(c)3 : 4
(d)3 : 1
Q: Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is
(a)2/9
(b)4/5
(c)7/12
(d)10/21
Q: A man walks 1 km to East and then he turns to South and walks 5 km. Again, he turns to East and walks 2 km. After, he turns to North and walks 9 km. Now, how far he is from his station point?
(a)3 km
(b)4 km
(c)5 km
(d)7 km
Q: If x = uv, y = (u + v)/(u − v), then ∂(u, v)/∂(x, y) is
(a)(u − v)² / 4 u v
(b)(u + v)² / 4 u v
(c)(u − v) / 4 u v
(d)(u + v) / 4 u v
Q: If u = x³ + y³ where x = a cos t, y = b sin t, then du/dt =
(a)−3 a³ cos² t sin t + 3 b³ sin² t cos t
(b)3 a³ sin² t cos t + 3 b³ cos² t sin t
(c)3 b sin² t cos t + 3 a³ sin² t cos t
(d)−3 a³ sin t + 3 b³ cos² t sin t
Q: If Δ = | p p² (p³ − 1); q q² (q³ − 1); r r² (r³ − 1) | = 0, in which p, q, r are different. The value of p q r is
(a)3
(b)1
(c)2·5
(d)3·5
Q: If A = [1 3 2; 2 0 −1; 1 2 3] then which one of the following is correct?
(a)A³ − 3 A² − 4 A + 11 I = 0
(b)A³ − 4 A² − 3 A + 11 I = 0
(c)A³ + 4 A² − 3 A + 11 I = 0
(d)A³ − 3 A² + 4 A + 11 I = 0
Q: The value of ∫₀⁶ dx / (1 + x²) by Simpson’s 1⁄3 rule is
(a)1.3111
(b)1.3941
(c)1.3735
(d)1.3662
Q: The value of Σ_{x=1}^n 1 / ((x + 3)(x + 4)) is
(a)n / (n + 2)
(b)2 n / (n + 1)
(c)n / 4(n + 4)
(d)n / 2(n + 2)
Q: On a view showing assembled parts, section lines on adjacent pieces are drawn in
(a)same directions usually at an angle of 90°
(b)opposite directions usually at an angle of 45°
(c)opposite directions usually at an angle of 30°
(d)same directions usually at an angle of 60°
Q: Which one of the following is NOT a component of total variability of measured observations?
(a)Variation between operators
(b)Variability due to operators
(c)Variability between parts dimensions
(d)Variation due to interaction between operators and parts
Q: Which one of the following is a resource allocation as per Chenery's development process?
(a)Investment
(b)Structure of domestic demand
(c)Labour allocation
(d)Government revenue
Q: Which one of the following is a particular form of collusive price-fixing behaviour by which firms coordinate their bids on procurement or project contracts?
(a)Predatory pricing
(b)Horizontal price-fixing (collusion)
(c)Bid rigging
(d)Exclusive territory
Q: Which one of the following is an example of horizontal practice of firm?
(a)Refusal to deal
(b)Retail price maintenance
(c)Predatory pricing
(d)Exclusive territory
Q: In a group of 1000 people, 750 speak Hindi and 400 speak English. The number of only Hindi speaking people is
(a)150
(b)350
(c)600
(d)750
Q: The value of Δ¹⁰ [(1 − ax)(1 − bx²)(1 − cx³)(1 − dx⁴)] is
(a)abcd (10!)
(b)abcd (9!)
(c)abcd (8!)
(d)abcd (7!)
Q: If u = logₑ((x⁴ + y⁴)/(x + y)), the value of x ∂u/∂x + y ∂u/∂y is
(a)6
(b)5
(c)4
(d)3
Q: The line passing through the focus and perpendicular to the directrix is called
(a)axis
(b)vertex
(c)eccentricity
(d)conic
Q: Among the effects of design specifications on costs, which one of the following is the most significant that influences the producibility of end product?
(a)Standard size
(b)Large tolerance
(c)Breakeven point
(d)Cost estimate
Q: Which of the following factors affect the quality of conformance in construction? 1. Site construction methods 2. Technical specifications 3. Engineering and design process 4. Supervision and control
(a)1 and 3
(b)2 and 3
(c)2 and 4
(d)1 and 4
Q: Which of the following variations are true in piece part production? 1. Piece-to-piece variation 2. Time-to-time variation 3. Within-piece variation 4. Process-to-process variation
(a)1, 2 and 4
(b)1, 3 and 4
(c)2, 3 and 4
(d)1, 2 and 3
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