- Leela has appeared in an examination which follows multiple choice questions, each having five possible answers. The probability that she knows an answer is 0.75. If she does not know an answer, she will guess, with the conditional probability 1/5 of being correct.
The conditional probability that Leela knows the answer, given that she gives the correct answer, is
- 25
- 80
- 90
- 94
Ans:- D
- Consider a sequence of Bernoulli trials with probability of success 1/3 for each trail. Let X
Denote the length of run of either success or failures starting with the first trail. Then the value of E(X) is
- 2
- 5
- 3
- 5
Ans:- B
- The probability that a death occurs due to heart failure is 0.45 and the probability that a death occurs due to cancer is 0.22.
Consider the following statement:
- The probability that the death is either due to heart failure or due to cancer is 0.67
- The probability that the death is due to some other cause (but not these two) is 0.55.
Which of the statements is/are correct?
- 1 only
- 2 only
- Both 1 and 2
- Neither 1 nor 2
Ans:- A
- Let X, a continuous random variable, follows U (0, 1) distribution. Then, we assert that
- P (X>0.27) = 0.73
- P (0.27< X < 1.27) = 0.73
Which of the above assertions is/are correct?
- 1 only
- 2 only
- Both 1 and 2
- Neither 1 nor 2
Ans:- C
- A man busy 10 bulbs, each with independent exponentially distributed lifetimes with the same mean, with the intention of using one bulb at a time and replacing it with another as soon as it fails. The distribution of the total duration of the 10 bulbs taken together is
- Exponential
- Normal
- Beta
- Gamma
Ans:- D
- In an examination, marks obtained by the students in Physics, Mathematics and Statistics
denoted by X, Y and Z are normally distributed with mean 50, 52 and 48 respectively and
with standard deviation 15, 12 and 16 respectively. The distribution of (X+Y+Z) is
- N (350, 53)
- N (55, 350)
- N (150, 625)
- N ( 625, 150)
Ans:- C
- Let X and y be two random variable. Which one of the following conditions is sufficient for the relation Var (X –Y) = Var (X) + Var (Y) to hold?
- X, Y are statistically independent
- X, Y are identically distributed
- X=Y
- For any X and Y
Ans:- A
- Suppose U and V are independently and uniformly distributed on the interval (0, 1), Then
the distribution of max (U, V) is
- Beta (1, 1)
- Beta (2, 2)
- Beta (1, 2)
- Beta (2, 1)
Ans:- D
- Consider the following statements on the use of F-distribution:
- It is used to test the equality of variances of two normal populations.
- It is used to test the equality of variances of several normal populations.
- It is used to test the equality of variances of several normal populations with identical variance.
- It is used to test for the independence of two attributes in a contingency table
Which of the above statements are correct?
- 1 and 3 only
- 2 and 3 only
- 1 and 4 only
- 1, 3 and 4 only
Ans:- A
- If X follows F (6, 6) distribution, then consider the following statements:
- Mean of X is greater than 1.
- Median of X is equal to 1.
- Mode of X lies between 0 and 1.
Which of the above statements are correct?
- 1 and 2 only
- 2 and 3 only
- 1 and 3 only
- 1, 2 and 3
Ans:- D
- An analysis of monthly wages of workers of two factories A and B belonging to the same group
the following results:
Statistic | Factory A | Factory B |
Number of workers | 50 | 60 |
Average daily wages
|
Rs 186 | Rs 175 |
Variance of wages | 81 | 100 |
Then the combined variance is given by
- 101-36
- 111-36
- 121-36
- 131-36
Ans:- C
- Chi-square test can be applied to test the
- Goodness of fit
- Equality of two population variances
- Independence of attributes
Which of the above are correct?
- 1 and 2 only
- 2 and 3 only
- 1 and 3 only
- 1, 2 and 3
Ans:- C
- The polynomial of least degree interpolation of the data (0, 4), (1, 5), (2, 8), (3, 13) is
- a) 4
- b) 3
- c) 2
- d) 1
Ans:- C
- Consider the following statements:
- Lagrange’s interpolation formula is applicable only when arguments are equispaced.
- The sum of Lagrange an coefficients is unity.
Which of the above statements is/are correct?
- 1 only
- 2 only
- Both 1 and 2
- Neither 1 nor 2
Ans:- B
- Consider the following statements:
- Simpson’s one-third rule follows from Romberg’s method with n=2
- Weddle’s rule follows from Romberg’s method with n=4.
Which of the above statements is/are correct?
- 1 only
- 2 only
- Both 1 and 2
- Neither 1 nor 2
Ans:- A
- Consider the following:
X | 0 | 1 | 2 | 3 | 4 |
F(x) | 5 | 1 | 3 | 25 | 55 |
The estimation of f(5) using Newton-Gregory interpolation is
- 71
- 5
- 95
- 115
Ans:- D
- Consider the following statements for numerical solution of first order differential equations:
- 1. Euler’s method is slow for large x-increment and inaccurate for small x-increment.
- Modified Euler’s method has an error of order h2.
- Picard’s method is an integrative method.
Which of the above statements is/are correct?
- 1 and 3 only
- 2 and 3 only
- 1 and 2 only
- 3 only
Ans:- D
- Consider the following:
X | 1 | 2 | 3 | 4 |
F(x) | 46 | 66 | 81 | 93 |
The value of f (3-5) using Newton’s Backward Difference Interpolation formula is
- 86-25
- 87-25
- 88-25
- 89-25
Ans:- B
- Milne’s method for numerical solution of a differential equation is based on
- Prediction only
- Correction only
- Both prediction and correction
- Neither on prediction nor on correction
Ans:- C
- A cubic polynomial takes the following values:
X | 0 | 1 | 2 | 3 |
F(x) | 1 | 0 | 1 | 10 |
Then f(4) equals to
- 6
- 19
- 27
- 33
Ans:- D
- Consider the following:
- Break
- If
- Do-while
- Continue
Which of the above are jump control statements?
- 1 and 4 only
- 2 and 3 only
- 1, 3 and 4 only
- 3 and 4 only
Ans:- A
- Which one of the following is the correct sequence of stages in problem solving?
- Precise formulation, Analysis, Computation of the problem
- Designing, Coding, Analysis, Debugging the program
- Coding, Precise formulation, Computation, Debugging the problem
- Condign, Compilation, Designing, Debagging and Executing the program
Ans:- A
- An operating system is crucial for the operation of a computer system because it
- controls the hardware of the computer.
- runs the antivirus software.
- manages files and directories.
- Allows Google search.
Which of the above are the most crucial functions of an operating system?
- 1 and 2 only
- 2 and 4 only
- 1 and 3 only
- 1,2,3 and 4
Ans:- C
- What is the decimal equivalent of the hexadecimal number FFFE?
- 25535
- 32766
- 65244
- 65534
Ans:- D
- Consider the following statements:
- A compiler checks the source code for syntax errors and if it is error-free, Creates an abject code.
- Linking means resolving library references to embed necessary routines.
Which of the statements is/are correct?
- 1 only
- 2 only
- Both 1 and 2
- Neither 1 nor 2
Ans:- C
- Consider the following statements:
- A signed or unsigned number with a decimal point or exponent or both is called a real or floating point constant.
- The decimal point in a floating point number is always after the number.
- The decimal point is permitted in the exponent part.
Which of the above statements is/are correct?
- 1 and 2 only
- 2 and 3 only
- 1 only
- 2 only
Ans:- C
- Consider the following:
- Computer port
- Modem type
- Modem speed
- Modem size
Which of the above factors are important when using a modem for data communication?
- 1 and 2 only
- 2 and 3 only
- 1 and 3 only
- 1 and 4 only
Ans:- B
- The size of memory in any system is decided/calculated by the
- Number of data lines
- Number of address lines
- Number of bits in a single memory location
- Number of bits in a single word
Ans:- B
- What is the function of a Firewall?
- To authenticate user before access
- To block traffic intended for a particular IP address
- To create a wall to prevent unauthorized access for network
Select the correct answer using the code given below :
- 1 and 2 only
- 2 and 3 only
- 1 and 3 only
- 1,2 and 3
Ans:- D
- Machine language programs are very efficient because
- They are easy to develop
- Their object code is very small in size
- They are directly executed by CPU
- They are easily understood by programmers
Ans:- C
- Which of the following statements/s is/are correct?
(a) Social control is the process by which order is established and maintained in societv.
(b) Social control is the process of constraining person to conform to norms.
(c) Social control is a system of devices where by society brings its members into conformity with the accepted
standard of behavior
with the accepted standard of behavior.
Answer options:
(1) Only (b)
(2) (a) and (c)
(3) (b) and (c)
(4) (a), (b) and (c)
Ans:- 4
- 32. Which of the following is not a gaseous biogeochemical cycle in the ecosystem?
(a)Nitrogen cycle
(b) Carbon cycle
(c) Sulphur cycle
(d) Phosphorus cycle
Ans:- D
- The process of converting atmospheric nitrogen into ammonium ion by micro-organisms is called
(1) Nibitleation
(2) Nitrogen fixation
(3) Metabolism
(4) Fertilization
Ans:- 2
- which of the following has the highest storage in the Earth’s crust?
(1) Nitrogen
(2) Carbon
(3) Sculpture
(4) Phosphorus
Ans:- 4
- Which is the classroom of micronutrient sources?
- Inorganic
- Synthetic cheaters
- Natural organic complexes
- Fritted glass products
1) a and c only
(2) b only
(3) d only
(4) All of the above
Ans:- update soon
- Which of the following Gources of potassium is better for yisld and quality of potato tubers?
- Diammonium phosphate
- Potassium chloride
- Nitrophosphate
- Potassium sulphate
Ans:- 4
- Red varieties cpfunioe are generally resistant to onion smudge because they contain
(1) Protocatechuic acid
(2) Hydrocyanic acid
(3) Chitinase enzyme
(4) Hydrolytic enzymes
Ans:- 1
- Which of the following insecticides is responsible for rapid insecticide resistance ?
(1) Organochlorines
(2) Organophosphates
(3) Carbamates
(4) Synthetic pyrethroids
Ans:- 4
- Which of the following are used to prepare ‘chaubatia paste’ for fruit tress?
- Cupric carbonate
- Copper oxychloride
- Red lead
- Linseed oil
Choose the correct answer from the options given below:
(1) a and d only
(2) a,c and d only
(3) b,c and d only
(4) b and c only
Ans:- 2
- Which of the following fungicides is a melanin bineynthesis inhibitor?
(1) Carbendazin
(2) Carpropamin
(3) Fosetyl-A
(4) Silphur
Ans:- 2
- Case memory is used tio transfer data between the
- Main memory and secondary memory
- Processor and an input device
- Main memory and processor
- Processor and an output device
Ans:- C
- SSL in Linnux provides
- Passed protection
- Logging
- Security
Which of the above is/are correct?
- 1 and 2 only
- 2 and 3 only
- 3 only
- 1, 2 and 3
Ans:- C
- Which one of the following hardware components is normally used to accommodate the secondary cache?
- Motherboard
- Processor
- RAM
- Any secondary storage device
Ans:- A
- The file manager is responsible for
- Naming files
- Saving files
- Deleting files
Which of the above are correct?
- 1 and 2 only
- 2 and 3 only
- 1 and 3 only
- 1, 2 and 3
Ans:- D