This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Express the matrix as `A=[(1,3,5),(-6,8,3),(-4,6,5)]` the sum of a symmetric and a skew-symmetric matrix |
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Answer» `A = [[1,3,5],[-6,8,3],[-4,6,5]]` Symmetric matrix can be given as `(A+A^T)/2`. Skew-symmetric matrix can be given as `(A-A^T)/2`. Here, `A^T = [[1,-6,-4],[3,8,6],[5,3,5]]` `:.` Symmetric matrix `=1/2[[2,-3,1],[-3,16,9],[1,9,10]]` `:.` Skew-symmetric matrix `= 1/2[[0,9,9],[-9,0,-3],[-9,3,0]]` `:. A = 1/2[[2,-3,1],[-3,16,9],[1,9,10]]+1/2[[0,9,9],[-9,0,-3],[-9,3,0]]` |
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| 2. |
Name the types of joint between the following. 1. Atlas/axis 2. Between Cranial bones 3. Carpal/Meta carpel of thumb 4. Between Humerus and pectoral girdle |
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Answer» 1. Pivot joint 2. Fibrous joint 3. Saddle joint 4. Ball and socket joint |
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| 3. |
Define random experiment. |
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Answer» An experiment in which the outcome of that experiment cannot be predictable is called random experiment. |
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| 4. |
In a transportation when do you say that a solution is degenerate? |
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Answer» The number of positive allocation in a basic feasible solution (B.F.S) is less than (m + n – 1), then the solution is called to be degenerate. |
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| 5. |
Define ‘parameter’ in testing of hypothesis. |
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Answer» Statistical constants of the population such as Mean – μ, S.D – σ are called ‘Parameters’. |
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| 6. |
What is lead time? |
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Answer» Lead time is the time gap between placing order and arrival of goods at the inventory. |
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| 7. |
Two cards aredrawn successively with replacement from a well shuffled pack of 52 cards.Find the probability distribution of number of jacks. |
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Answer» There are `4` jacks in a pack of `52` cards. So, probability when both drawn cards are not jacks, `P(J =0) = (52-4)/52**(52-4)/52 = 48/52*48/52 = 144/169` Probabilty of drawing `1` jack in any of the draw, `P(J =1) = (4/52**48/52)+(4/52**48/52) = 24/169` Probabilty of drawing `2` jacks, `P(J =2) = (4/52**4/52) = 1/169.` |
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| 8. |
If variance of Chi-square distribution is 10, find its mean. |
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Answer» Variance = 2n = 10; Mean = n; ∴ n = \(\frac{10}{2}\) = 5. |
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| 9. |
Write the relation between mean and variance of Binomial distribution. |
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Answer» Mean > Variance i.e., np > npq. |
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| 10. |
What are source and foot note are meant for in the table? |
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Answer» Source and foot note are written just below the table. The data obtained from publications, offices, journals can be mentioned under source and to explain omissions, abbreviations, remarks about numerical entries of the table can be given under the footnote. |
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| 11. |
In _________a point of the object is represented by three coordinates, x, y and z.(a) axonometric projection(b) cavalier projection(c) cabinet projection(d) military projection |
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Answer» Right option is (b) cavalier projection The explanation is: In cavalier projection (sometimes cavalier perspective or high view point) a point of the object is represented by three coordinates, x, y and z. On the drawing, it is represented by only two coordinates, x″ and y″. On the flat drawing, two axes, x and z on the figure, are perpendicular and the length on these axes are drawn with a 1:1 scale; it is thus similar to the dimetric projections, although it is not an axonometric projection, as the third axis, here y, is drawn in diagonal, making an arbitrary angle with the x″ axis, usually 30 or 45°. The length of the third axis is not scaled. |
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| 12. |
Which of the following statements is not example to 8 per thousand in the US.A. Birth rate in India is 18 per thousand as compared to 8 per thousand in the US.B. Ramesh has a Rs 100 note in hid pocket.C. Over the last 10 years, India was won 60 text matches in cricket and lost 50.D. Average pocket allowance of the students of Class XI is Rs 500 per month. |
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Answer» Correct Answer - B B |
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| 13. |
Which of the following indicates a stage of statistical study?A. Collection of dataB. Presentation of dataC. Analysis of dataD. All of these |
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Answer» Correct Answer - D D |
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| 14. |
Calculate the maximum emf when the velocity is 10m/s, the length is 3m and the magnetic field density is 5T.(a) 150V(b) 100V(c) 300V(d) 0V |
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Answer» Right option is (a) 150V For explanation: We know that: emax=Bvl Substituting the values from the given question, we get e=150V. |
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| 15. |
Which of the following is correct regarding Statistics ?A. Aggregate of factsB. Numerically expressedC. Affected by multiplicity of causesD. All of these |
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Answer» Correct Answer - D D |
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| 16. |
The aggregate of data is called:A. StatisticsB. editing of dataC. analysis of dataD. collection of data |
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Answer» Correct Answer - A A |
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| 17. |
Write a few important functions of statistics. |
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Answer» The following are the important functions of statistics: (a) It simplifies and condenses the size of the data. (b) It facilitates composition. (c) It enriches our knowledge and widens our experience. (d) It helps in formulating policies. (e) It helps in business forecasting. (f) It presents the facts in a definite form. |
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| 18. |
Find the mode: 4, 8, 5, 6, 4, 9, 3, 4. |
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Answer» Here mode(Z) = 4. Repeated more number of times. |
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| 19. |
What is correction between variables. |
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Answer» Correlation is said to exists between two variables, if they vary directly or indirectly together. |
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| 20. |
Give the IUPAC names of the following compounds: |
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Answer» (i) 3-Phenylpropanoic acid |
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| 21. |
In singular sense Statistics means :A. statistical scienceB. statistical lawC. both (a) and (b)D. none of these |
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Answer» Correct Answer - C C |
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| 22. |
Give any one definition of statistics in singular sense. |
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Answer» Croxton and Cowden defines ‘statistics is the science of collection, presentation, analysis and interpolation of numerical data. |
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| 23. |
Mention a feature of Bernoulli distribution. |
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Answer» Bernoulli distribution has parameter – p or mean = p or variance = p (1 – p). |
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| 24. |
Which type of bar diagrams are used under the following circumstances?(a) When two or more different comparable sets of values. (b) When a comparison of two or more components as percentages. |
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Answer» (a) Multiple bar diagram (b) percentage bar diagram. |
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| 25. |
Give an example for ordinal data. |
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Answer» Ranks are given to students according to their marks scored in examination. |
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| 26. |
Define the relative frequency. |
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Answer» It is the ratio of frequency of the value of a variable to the total frequency. |
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| 27. |
Define qualitative classification? |
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Answer» If the data is classified on the basis of qualitative characteristics or attributes is called qualitative classification. |
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| 28. |
Define ‘Solution’ in an LPP. |
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Answer» A set of real value X = (x1,x2,……….xn), which satisfies the constraints A X(≤ = ≥)b, is called a solution. |
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| 29. |
What is confidence coefficient? |
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Answer» The probabilty that the confidence interval contains the parameter is called confidence coefficient (1 – α). |
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| 30. |
Define critical region. |
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Answer» The set of all those values of the test statistic, which leads to the rejection of the bull hypothesis, is called critical region (w). |
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| 31. |
What is chance cause of variation? |
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Answer» A small amount of variation for which no specific cause can be observed in the quality of the product, this variation is called as ‘chance causes’. |
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| 32. |
What is the type of movable joint present between the atlas and axis? (a) Pivot (b) Saddle (c) Hinge (d) Gliding |
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Answer» Pivot is the type of movable joint present between the atlas and axis. |
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| 33. |
Give any example of synovial joint. |
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Answer» 1. Ball and socket joint (between humerus and pectoral girdle) 2. Hinge joint – knee joint |
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| 34. |
1. Observe the diagram and identify the type of joint. 2. Where can you nd this type of joints in your body? 3. Comment on its ability to move. |
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Answer» 1. Ball and socket joint 2. Shoulder joints and Hip joints 3. In ball and socket joint, one of the bones forms a ball like head while the other forms a cup like socket into which head fits in. It allows the free movement of the bone with the ball like head. |
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| 35. |
Write the degrees of freedom while testing independence of attributes in a 2 x 2 contingency table. |
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Answer» 1 degrees of freedom. |
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| 36. |
If in a 2 × 2 contingency table the frequencis of first order (A) = 130 and (B) = 120 then find the total frequency. |
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Answer» In a 2 × 2 contingeven table N – is frequency of zero order, is obtained as N = (A) + (B) ∴ N = 130 + 120 = 250. |
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| 37. |
Computer quartile deviation and coefficient of quartile deviation if Q1=20,Q3=100option for answer : a) 40,0.98b) 40,0.75c)40,0.67d)40,0.70 |
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Answer» option for answer : a) 40,0.98 b) 40,0.75 c)40,0.67 d)40,0.70
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| 38. |
Mention the five rules for drafting a questionnaire. |
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Answer» Following are some important points/rules to be considered while framing a questionnaire. 1. Questions should be simple and easy to understand and get spontaneous answers. 2. Questions should not confuse the reader and they should give only one meaning. 3. The number of questions should be kept to a minimum. 4. Questions should be such that people with little intelligence and educated ones can both answer without much difficults. 5. The questions should be arranged in a logical order. |
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| 39. |
1. Identify the muscle cell 2. Mention its function. |
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Answer» 1. Non-striated muscle (smooth muscle) 2. Smooth muscles are involuntary muscles located in the inner visceral organs like alimentary canal, reproductive tract etc. So they help the transportation of food through digestive tract and gamete through the genital tract. |
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| 40. |
You can move your hands at your will. But you can’t move your heart at your will. Comment. |
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Answer» Muscles of the hand are skeletal muscles and they are voluntary muscle. Muscles of the heart are cardiac muscles and they are involuntary muscles. |
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| 41. |
An investigation was arrived out to nd the effect of the temperature on muscle contraction. The results are shown in the graph.1. Describe and suggest an explanation for one effect of temperature on muscle contraction. 2. Name the laments involved in muscle contraction. |
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Answer» 1. When temperature increases muscle contraction increases, but when temperature decreases the extend of muscle contraction decreases, but the time remain in the contracted state increases, 2. Actin and myosin |
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| 42. |
Mention any two rules of formation of a frequency distribution. |
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Answer» 1. The lower limit of the first class is either’O’or a multiple of 5. 2. Exclusive classes should be formed for better continuity. |
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| 43. |
Write any two properties of coefficient of correlation |
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Answer» The coefficient of correlation is 1. Independents of units of measurement 2. Independent of orgin and scale. |
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| 44. |
According to colour, muscles are of two types. 1. Name the two muscles. 2. Why are they called so? 3. Give examples. |
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Answer» 1. Red muscle and white muscle. 2. Red muscles contain large amount of mitochondria and myoglobin whereas the white muscles contain only less amount of mitochondria and myoglobin. 3. Examples
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| 45. |
ATPase of the muscle is located in (a) Actinin (b) Troponin (c) Myosin (d) Actin |
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Answer» ATPase of the muscle is located in Myosin |
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| 46. |
Arrange the following bones into two columns and give proper heading to each columns.Scapula, Carpals, Femur, Fibula, Tibia, Tarsals, Acetabulum, Metatarsals, Radius, Humerus, Glenoid cavity, Clavicle, Metal Carpals, Phalanges, Patella, Ilium, Ischium, Pubis. |
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| 47. |
Some joints in the body are characterized by pressure of a fluid filled cavity between articulating surfaces of two bones. Mention the peculiarity of these types of joint and give examples? |
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Answer» This type of joint in called synovial joint or freely movable joint and allows considerable movement. eg: 1. Ball and socket joint (between humerus and pectoral girdle) 2. Hinge joint (knee joint) |
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| 48. |
1. Observe the above graph and nd out the region of graph where muscle show maximum contraction. Justify your answer. 2. Name the different types of muscle proteins present in thick and thin laments.3. Ca2+ is necessary for muscle contraction. Why? |
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Answer» 1. Region 2 During Muscular contraction amount of Ca2+ released from ER is very high. 2. Thick lament – Muscle protein – myosin Thin lament – Muscle protein – actin, troponin, tropomyosin. 3. Muscle contraction is regulated by a regulator protein troponin. Troponin mask the active site of actin molecule from myosin head, Action potential reaching a muscle cause the ER to release Ca2+ . This Ca2+ bind with the specific site of troponin. It causes a conformational change by which the active site of actin molecule is exposed and it results in cross bridge activity and muscle contraction. |
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| 49. |
Write the odd one out and give the reason for your answer. 1. Fibrous joints, Ball and socket joints, hinge joints, pivot joints 2. Humerus, Femur, Radius, Ulna. |
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Answer» 1. Fibrous joints: They are immovable joints of the bones of skull whereas all others are freely movable joints. 2. Femur: It is the thigh bone whereas all other are the bones of the forelimb |
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| 50. |
Match the following. A B a. Fixed joint Shoulder joint b. Ball and socket joints Wrist and ankle c. Hinge joints Phalanges of hind limbs d. Pivot joints Bones of skull e. Gliding joints Elbow and joints of phalanges f. Ellipsoid joints Skull and vertebral column. |
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