Q: How many total number of lattice parameters are required to fully specify Rhombohedral crystal system?
(a)2
(b)3
(c)4
(d)6
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ESE Quantitative Aptitude & Data Interpretation Questions
61 previous year questions
Sub-topics
Numerical Ability (41)Statistics & Probability (20)
Q: If a and c represent, respectively, the short and long unit cell dimensions for Hexagonal crystal, the ideal c/a ratio should be
(a)1·433
(b)1·633
(c)2·833
(d)4·533
Q: A group of N stations share a 56-kbps pure ALOHA channel. Each station outputs a 1000-bit frame on average once every 100 sec, even if the previous one has not yet been sent (e.g., the stations can buffer outgoing frames). What is the maximum value of N?
(a)1003 stations
(b)1100 stations
(c)1010 stations
(d)1030 stations
Q: Consider the following methods regarding quality improvements in TQM: 1. Robust design 2. Taguchi loss function Which of the above methods is/are correct?
(a)1 only
(b)2 only
(c)Neither 1 nor 2
(d)Both 1 and 2
Q: What is the expectation of the number of failures preceding the first success in an infinite series of independent trials with constant probability p of success in each trial?
(a)q / p²
(b)q / p
(c)q / (1 + p)
(d)1 / (1 − q)
Q: A deck of n numbered cards is thoroughly shuffled and the cards are inserted into n numbered cells one by one. If the card number i falls in the cell i, we count it as a match; otherwise not. What is the variance of total number of such matches?
(a)1
(b)0
(c)1/2
(d)3/4
Q: Let X₁ and X₂ be two independent random variables having variances k and 4 respectively. If the variance of Y = 3X₂ − X₁ is 49, then what is the value of k?
(a)7
(b)13
(c)9
(d)11
Q: What is the value of P(X + Y < 1/2) for the joint probability density function of X and Y, f(x, y) = 3(x + y); 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ x + y ≤ 1?
(a)1/16
(b)1/8
(c)1/12
(d)1/7
Q: Consider a square of side 6 cm; a circle is inscribed inside the square. Another circle circumscribes the square. The ratio of the areas of the inscribed circle to the circumscribed circle is
(a)1 : π⁄4
(b)1 : π
(c)1 : 15
(d)1 : 2
Q: What is PPP in sustainable agricultural sector?
(a)Public Product Percentage
(b)Present Product Partnership
(c)Public Private Partnership
(d)Present Private Percentage
Q: A builder decided to build a farmhouse in 40 days. He employed 100 men in the beginning and 100 more after 35 days and completed the construction in the stipulated time. If he had not employed additional men, how many days behind the schedule the construction would have been finished?
(a)2 days
(b)5 days
(c)10 days
(d)15 days
Q: One student gets 20% of marks in an examination and fails by 30 marks. Another student secures 32% of marks and gets 42% marks more than that required to pass. The percentage of marks required to pass in that examination will be
(a)22% of marks
(b)25% of marks
(c)28% of marks
(d)30% of marks
Q: A construction work is to be completed in 46 days by 117 men at work, 8 hours being the working period per day. After 33 days, it is found that only 3⁄4 of the work is completed. If the working time is increased to 9 hours/day, the number of additional men required to complete the work in 46 days period will be
(a)72 men
(b)81 men
(c)90 men
(d)99 men
Q: In an area of an ellipse, if one percent error is made in measuring the major and minor axis, the percentage error will be
(a)2%
(b)3%
(c)4%
(d)5%
Q: In how many ways can 5 prizes be distributed among 4 candidates when every candidate can take one or more prizes?
(a)1024
(b)625
(c)600
(d)120
Q: If 8 children and 8 men complete certain job in 6 days and if each child takes twice the time taken by a man to finish the same work, in how many days 8 men will finish the same work?
(a)12 days
(b)10 days
(c)9 days
(d)8 days
Q: If at a get-together 22 people shake their hands with each other, how many handshakes will take place in all?
(a)132
(b)231
(c)321
(d)484
Q: Consider the following steps regarding basic procedure of design of machine element: 1. Select suitable material for element 2. Specify functions of elements 3. Determine failure mode of element 4. Determine forces acting on element What is the correct sequence of these steps?
(a)2, 4, 1 and 3
(b)1, 2, 3 and 4
(c)2, 1, 4 and 3
(d)4, 2, 3 and 1
Q: An assessment of comparative strength and weaknesses of a business firm in relation of competitions on one hand and the environmental opportunities and threats which a firm may be exposed to face is carried through
(a)Time-series analysis
(b)Cost-benefit analysis
(c)SWOT analysis
(d)Profit analysis
Q: What is the time to perform search, insert, and delete operations in the average case as well as the worst case by using AVL tree?
(a)O(n)
(b)O(log n)
(c)O(n²)
(d)O(n log n)
Q: The standard deviation of the exponential distribution of f_X(x) = { λ e^{−λx}, x ≥ 0 { 0, x < 0 is
(a)1/λ
(b)2/λ²
(c)3/λ³
(d)2/λ³
Q: Suppose that 0·1% of the people in a certain area have a disease D and that a mass screening test is used to detect cases. The test gives either a positive or a negative result for each person. Ideally, the test would always give a positive result for a person who has D, and would never do so for a person who has not. In practice the test gives a positive result with probability 99·9% for a person who has D, and with probability 0·2% for a person who has not. What is the probability that a person for whom the test is positive actually has the disease?
(a)1/3
(b)5/3
(c)4/3
(d)2/3
Q: If six people greet each other at a meeting by shaking hands with one another, how many handshakes will take place?
(a)14
(b)16
(c)15
(d)18
Q: An activities director for a cruise ship has surveyed 240 passengers. Of the 240 passengers, 135 like swimming, 80 like swimming and dancing, 150 like dancing, 40 like swimming and games, 65 like games, 25 like dancing and games, 15 like all three activities. How many passengers like exactly two of the three types of activities?
(a)220
(b)20
(c)30
(d)100
Q: Which one of the following methods is an important qualitative method under demand forecasting?
(a)Jury of Executive Method
(b)Trend Projection Method
(c)Chain Ratio Method
(d)Bass Diffusion Method
Q: Which one of the following refers to efforts to tailor thousands of items such as cars or hamburgers to specific customers' needs?
(a)Miniaturization
(b)Mass customization
(c)Reactive mode
(d)Fire-fighting
Q: Almost all the quality control problems can be solved if the following conditions for manufacturing the product are met: 1. The quality characteristics are within the appropriate specification tolerance limits determined based on customers' requirements. 2. The variability of the quality characteristics is minimized as much as possible. 3. The mean of each quality characteristic is as close as possible to the target value of the characteristic. Which of the above conditions are correct?
(a)1 and 2 only
(b)2 and 3 only
(c)1 and 3 only
(d)1, 2 and 3
Q: In a network, a transcontinental channel with a one-way latency of 50 ms and a bandwidth of 45 Mbps is able to hold how many bits that fit in the pipe approximately?
(a)2·25 × 10⁶ bits
(b)1·25 × 10⁶ bits
(c)50·00 × 10⁶ bits
(d)45·00 × 10⁶ bits
Q: Which one of the following statements is NOT correct regarding human values?
(a)Values mean an in-built mechanism which distinguishes the right from the wrong
(b)Values provide us with a unique, personal, and moral template that we use subconsciously to assess and judge the intentions and actions of others and ourselves
(c)Values serve the process of ‘becoming’ in the sense of transformation of the level of consciousness to purer, higher levels
(d)Values are essentially objective while skills are subjective
Q: Match the following: List I (Severity of failure) List II (Impact of failure) P. Catastrophic 1. Less than minor injury or system damage Q. Critical 2. Minor injury or minor system damage R. Marginal 3. Result in death or total system loss S. Negligible 4. Result in severe injury or major system damage Select the correct pair using the code given below: P Q R S
(a)3 4 2 1
(b)4 3 1 2
(c)2 1 3 4
(d)1 2 4 3
Q: A triangular prism, base 40 mm side and axis 50 mm long is resting on one of its bases on the H.P. with a vertical face perpendicular to the V.P. What is the front view of the prism?
(a)a triangle
(b)a rectangle
(c)combination of two rectangles
(d)combination of triangle and rectangle
Q: The question given below has three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements : All lions are tigers. All tigers are leopards. Some leopards are wolves. Conclusions : I. No elephant is lion. II. Some wolves are lions. III. Some leopards are lions.
(a)Only I follows
(b)Only II follows
(c)Only III follows
(d)Only I and III follow
Q: A number series is given with one term missing. Choose the correct alternative from the options. 0·5, 0·55, 0·65, 0·8, ?
(a)0·9
(b)0·95
(c)0·82
(d)1
Q: Statement (I): Ozone depletions are mostly harmful to biological systems in a variety of ways. Statement (II): Ozone depletion in stratosphere leads to the loss of filtering ability of UV light. In the context of the above statements, which of the following is correct?
(a)Both Statement I and Statement II are individually true and Statement II is the correct explanation of Statement I.
(b)Both Statement I and Statement II are individually true but Statement II is not the correct explanation of Statement I.
(c)Statement I is true but Statement II is false.
(d)Statement I is false but Statement II is true.
Q: Consider the following statements regarding evaluating sampling plans: 1. If rectifying inspection is conducted for lots rejected by the sampling plan is the average total inspection. 2. The average number of items inspected for a series of lots in order to make a decision is the average sample number. 3. The average quality level of a series of batches that leave the inspection station after coming in for inspection at a certain quality level is the average outgoing quality limit. 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: Which one of the following is an advantage of branched or Intrinsic programming type or style in ICT-based teaching and learning process?
(a)Large frames reduce the time of learning
(b)There is a possibility of guess-work
(c)It is very expensive to provide so many audio-visual aids
(d)Revise/redesign at frequent intervals is difficult and expensive
Q: How many Indian companies have found a place in 2021 Fortune's Global 500 list?
(a)Three
(b)Five
(c)Seven
(d)Nine
Q: The difference between simple interest and compound interest on a sum for 2 years at 8% when the interest is compounded annually is ₹16. If the interest were compounded half-yearly the difference in two interests would be nearly
(a)₹ 21·35
(b)₹ 24·64
(c)₹ 27·85
(d)₹ 29·94
Q: A library has two books each having three copies and three other books each having two copies. In how many ways can all these books be arranged in a shelf so that copies of the same book are not separated?
(a)80
(b)100
(c)120
(d)140
Q: A tank can be filled by 20 buckets each of capacity 13·5 litres. If the capacity of each bucket be 9 litres, how many buckets will fill the same tank?
(a)30
(b)25
(c)20
(d)15
Q: A batch of 100 capacitors contains 73 which are within the required tolerance values, 17 which are below the required tolerance values, and the remaining are above the required tolerance values. What is the probability that when randomly selecting a capacitor and then a second capacitor, if both are within the required tolerance values when selecting with replacement?
(a)0·3319
(b)0·5329
(c)0·7239
(d)0·9249
Q: The mean value of y = 3x² + 4x + 1 between x = −1 and x = 2 is
(a)2
(b)4
(c)6
(d)8
Q: A is twice as good a workman as B and together, they finish a piece of work in 18 days. In how many days will A alone finish the work ?
(a)28 days
(b)30 days
(c)27 days
(d)29 days
Q: In how many years will a sum of ₹800 at 10% per annum compounded semi-annually become ₹926.10 ?
(a)1⅓ years
(b)1½ years
(c)2⅓ years
(d)2½ years
Q: A, B, C, D and E are five different integers. When written in the ascending order of values, the difference between any two adjacent integers is 4. D is the greatest and A is the least. B is greater than E but less than C. The sum of the integers is equal to E. What is the positive difference between the lowest and the highest integers?
(a)8
(b)6
(c)16
(d)18
Q: Suppose that a book of 600 pages contains 40 printing mistakes. Assume that these errors are randomly distributed throughout the book and x, the number of errors per page, has a Poisson distribution. What is the probability that 10 pages selected at random will be free of errors?
(a)(1⁄3) e⁻¹
(b)2 e¹ᐟ³
(c)e²ᐟ³
(d)(1⁄3) e⁻²
Q: Which one of the following unique characteristics of the construction process makes TQM difficult to implement?
(a)The construction process is relatively short in duration
(b)A low percentage of the labour at a construction project only work for the construction firm for a short time period
(c)Project owners take a long term view to control projects
(d)Construction projects are multiple, each project being somewhat same
Q: Statement (I): The slip mode of deformation is the common mode in only one crystal at ambient and elevated temperature. Statement (II): A slip plane and a slip direction that lies on it together constitute a slip system.
(a)Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
(b)Both Statement (I) and Statement (II) are individually true but Statement (II) is NOT the correct explanation of Statement (I)
(c)Statement (I) is true but Statement (II) is false
(d)Statement (I) is false but Statement (II) is true
Q: Which one of the following ratios is referred to as everything that has been invested in the past and to the whole income?
(a)Capital-output ratio
(b)Average capital-output ratio
(c)Incremental capital-output ratio
(d)Marginal ratio
Q: A bag contains 4 white and 2 black balls and another bag contains 3 of each colour. A bag is selected at random and a ball is drawn at random from the bag chosen. The probability of the white ball drawn is
(a)1⁄3
(b)1⁄4
(c)5⁄12
(d)7⁄12
Q: X is a continuous random variable with probability density function given by f(x) = kx (0 ≤ x < 2) = 2k (2 ≤ x < 4) = −kx + 6k (4 ≤ x < 6) The value of k will be
(a)2⁄3
(b)1⁄8
(c)1
(d)8
Q: Which one of the following is not the way of estimating the statistical parameters and is integral part of analysis or synthesis tasks when probability of failure is involved?
(a)Propagation of error
(b)Propagation of uncertainty
(c)Propagation of weight
(d)Propagation of dispersion
Q: An Average Outgoing Quality (AOQ) is where Pa = Probability of accepting the lot p = Incoming lot quality N = Lot size n = Sample size
(a)Pa p (N)
---------
N - n
(b)Pa p (N + n)
-------------
N
(c)Pa p (N - n)
-------------
n - N
(d)Pa p (N - n)
-------------
N
Q: Which one of the following is the measure of service quality that correlates with the human factors and behavioural characteristics of service quality?
(a)Number of complementary responses based on human traits in delivery of service
(b)Proportion of income tax returns prepared by an agency that have errors
(c)Shabby appearance of a receptionist in a bank or hotel
(d)Inadequate temperature control in a convention meeting room
Q: The standard deviation σ for sampling in the case of concrete for construction engineering and management is where X1, X2, X3, X4, ... , Xn = Compressive strengths of the individual cubes N = Number of cubes tested X̄ = Average of series of compressive strength values
(a)√ Σ(X + X̄)² / (N + 1)
(b)√ Σ(X − X̄)² / (N + 1)
(c)√ Σ(X + X̄)² / (N − 1)
(d)√ Σ(X − X̄)² / (N − 1)
Q: During an assessment of economic viability of the project, the ratio of average annual earnings after tax to the average book investment after depreciation is called
(a)Benefit-Cost Ratio (BCR)
(b)Net Present Value (NPV)
(c)Pay-Back Period (PBP)
(d)Return on Investment (ROI)
Q: The photoelectric current depends on which of the following factors? 1. The frequency of the incident light 2. The intensity of the incident light 3. The potential difference between the electrodes 4. The photosensitivity of the non-metal
(a)1, 2 and 4
(b)1, 2 and 3
(c)1, 3 and 4
(d)2, 3 and 4
Q: Which one of the following statements is correct regarding ductile fracture?
(a)Fractured surfaces are crystalline in appearance.
(b)There is virtually no reduction in cross-sectional area during fracture.
(c)Fracture takes place after necking with little sound.
(d)Percentage elongation is about 60 % prior to fracture occurs.
Q: The basic difference between a professional and an amateur is
(a)a professional is someone who is connected with a job that needs special training or skill, while an amateur is someone who works in multi-dimensions without any specialization
(b)a professional is clear in thinking and focused on the job, while an amateur is confused and distracted from the job
(c)a professional does high-quality work/job in a specific area, while an amateur is associated with specific area with lowest pay
(d)a professional remains positive and achieves despite facing grievances, while an amateur does work efficiently due to many imagined grievances
Q: Statement (I): Raw materials are taken as traded items and their values at domestic and world prices are estimated. Statement (II): Raw materials, which have a high value-to-volume ratio and involve proportionately high transport cost and are imported, are regarded as non-traded items.
(a)Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
(b)Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)
(c)Statement (I) is true but Statement (II) is false
(d)Statement (I) is false but Statement (II) is true
Q: Statement (I): Long-term sustainability of e-Governance projects does not depend on financial viability, especially if they are to be implemented in the Public-Private Partnership (PPP) mode. Statement (II): Front-end e-services are possible without back-end computerization.
(a)Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
(b)Both Statement (I) and Statement (II) are individually true but Statement (II) is not the correct explanation of Statement (I)
(c)Statement (I) is true but Statement (II) is false
(d)Statement (I) is false but Statement (II) is true
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