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MCQOPTIONS
This section includes 100 Mcqs, each offering curated multiple-choice questions to sharpen your Logarithms knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If rate of flow of water of tank's inlet and outlet is constant so rate of change of volume w.r.t time i.e dV/dt will be |
| A. | 1 |
| B. | 1/x |
| C. | |
| Answer» A. 1 | |
| 2. |
When is a constant than / x( x)= |
| A. | x |
| B. | x |
| C. | |
| D. | x |
| Answer» D. x | |
| 3. |
A differential equation not depending on x(variable) is called |
| A. | anonymous |
| B. | autonomous |
| C. | linear |
| D. | non linear |
| Answer» C. linear | |
| 4. |
Laplace transform of f(x)=tanx where tanx has limit of infinity is |
| A. | cos (w/(s +w )) |
| B. | sin (s/(s +w )) |
| C. | 1/s |
| D. | no Laplace |
| Answer» E. | |
| 5. |
Logarithm to base 10 (that is b = 10) is called the |
| A. | binary logarithm |
| B. | natural logarithm |
| C. | common logarithm |
| D. | inverse logarithm |
| Answer» D. inverse logarithm | |
| 6. |
Stochastic model is also known as |
| A. | Deterministic model |
| B. | Discrete model |
| C. | Statistic model |
| D. | Continuous model |
| Answer» D. Continuous model | |
| 7. |
Lnab= |
| A. | lna+lnb |
| B. | lnaxlnb |
| C. | lna-lnb |
| D. | lna/lnb |
| Answer» B. lnaxlnb | |
| 8. |
Logarithm to base 2 (that is b = 2) is called the |
| A. | binary logarithm |
| B. | natural logarithm |
| C. | common logarithm |
| D. | inverse logarithm |
| Answer» B. natural logarithm | |
| 9. |
Set of elementary functions is closed under |
| A. | logical operation |
| B. | Arithmetic operation |
| C. | delta operation |
| D. | numeric operation |
| Answer» C. delta operation | |
| 10. |
Curve of function i.e. y=h(x) is called |
| A. | solution curve |
| B. | scalar curve |
| C. | separation curve |
| D. | summation curve |
| Answer» B. scalar curve | |
| 11. |
Process of solving an ODE using Laplace transform method consist of |
| A. | two steps |
| B. | three steps |
| C. | four steps |
| D. | five steps |
| Answer» C. four steps | |
| 12. |
Model which is a logical structure based on a theory is |
| A. | Deductive model |
| B. | Inductive model |
| C. | Floating model |
| D. | Constant model |
| Answer» B. Inductive model | |
| 13. |
Laplace transform when applied to function, changes that function into new function by using a process that involves |
| A. | integration |
| B. | differentiation |
| C. | binary manipulation |
| D. | logical manipulation |
| Answer» B. differentiation | |
| 14. |
Laplace transform of function f(t)=cos(wt) is |
| A. | s/(s+w) |
| B. | s/(s-w) |
| C. | s/(s +w ) |
| D. | w/(s +w ) |
| Answer» D. w/(s +w ) | |
| 15. |
To solve engineering problem, we have to formulate pattern as math expression in term of variables, functions and equations, such expression is called |
| A. | function model |
| B. | math model |
| C. | variable model |
| D. | math equation |
| Answer» C. variable model | |
| 16. |
Linear accelerators are used in physics to accelerate |
| A. | uncharged particles |
| B. | neutral particles |
| C. | protons |
| D. | charged particles |
| Answer» E. | |
| 17. |
(a,+ )={x| x>a} is |
| A. | open bounded |
| B. | close bounded |
| C. | open unbounded |
| D. | close unbounded |
| Answer» D. close unbounded | |
| 18. |
Initial condition is also termed as |
| A. | dynamic value |
| B. | static value |
| C. | substitution value |
| D. | seed value |
| Answer» E. | |
| 19. |
If one "automatic" solution is trivial solution. solution of a linear homogeneous equation is a |
| A. | elementary function |
| B. | complementary function |
| C. | homogeneous function |
| D. | none |
| Answer» C. homogeneous function | |
| 20. |
In Laplace transform, subsidiary equation can only be solved by |
| A. | integration |
| B. | differentiation |
| C. | algebraic manipulation |
| D. | logical manipulation |
| Answer» D. logical manipulation | |
| 21. |
Logarithm of a product is the |
| A. | product of logarithms |
| B. | difference of logarithms |
| C. | logarithm of number itself |
| D. | sum of logarithm |
| Answer» E. | |
| 22. |
Formula generalizes chain rule for higher derivatives is termed as |
| A. | Faadi Bruno's formula |
| B. | Faraday's formula |
| C. | Kreyzig's formula |
| D. | Leibniz's formula |
| Answer» B. Faraday's formula | |
| 23. |
Laplace transform of f(t)=sinht cost is |
| A. | 2s /(s +2s+2) |
| B. | 2s /(s +2s+2)(s -2s+2) |
| C. | s /(s +2s+2)(s -2s+2) |
| D. | s /(s +2s+4)(s -4s+2) |
| Answer» C. s /(s +2s+2)(s -2s+2) | |
| 24. |
Thing that is changing in an experiment |
| A. | variable |
| B. | function |
| C. | equation |
| D. | none |
| Answer» B. function | |
| 25. |
Interval '(b,+ )={x| x>(b+23)} ' is classified |
| A. | open bounded |
| B. | close bounded |
| C. | open unbounded |
| D. | close unbounded |
| Answer» D. close unbounded | |
| 26. |
If in interval one endpoint is included but not other, interval is said to be |
| A. | infinite interval |
| B. | closed interval |
| C. | half closed interval |
| D. | open interval |
| Answer» D. open interval | |
| 27. |
If A' growth rate of number of bacteria at any time t is proportional to number present at any time t and doubles in 1 week than bacteria after four week is |
| A. | 4A(t) |
| B. | 24A(t) |
| C. | 16A(t) |
| D. | 0.099A(t) |
| Answer» D. 0.099A(t) | |
| 28. |
Half closed interval is also known as |
| A. | infinite interval |
| B. | closed interval |
| C. | half open interval |
| D. | open interval |
| Answer» D. open interval | |
| 29. |
In derivative equation, F(x,y,y', ...,yn)=0 y is function of |
| A. | x |
| B. | y |
| C. | xy |
| D. | not a function |
| Answer» B. y | |
| 30. |
Homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is |
| A. | non-zero |
| B. | zero |
| C. | -2 |
| D. | -1 |
| Answer» B. zero | |
| 31. |
Y',y'',y''' ... notation is termed as |
| A. | Leibniz notation |
| B. | Prime notation |
| C. | Even notation |
| D. | Medium notation |
| Answer» C. Even notation | |
| 32. |
Let g(x)=sin(2x 2;+x) than g'(x) will be |
| A. | (4x+1)sin(4x+1) |
| B. | (4x+1)sin(2x +x) |
| C. | 4x sin(2x +x) |
| D. | sin(2x +x) |
| Answer» C. 4x sin(2x +x) | |
| 33. |
During process of solving an ODE using Laplace transform, ODE is transformed into algebraic equation in |
| A. | step1 |
| B. | step2 |
| C. | step3 |
| D. | step4 |
| Answer» B. step2 | |
| 34. |
Transfer function= |
| A. | outputxinput |
| B. | output+input |
| C. | output/input |
| D. | input/output |
| Answer» D. input/output | |
| 35. |
Model rests on neither theory nor observation, but is merely invocation of expected structure is |
| A. | Deductive model |
| B. | Inductive model |
| C. | Floating model |
| D. | Constant model |
| Answer» D. Constant model | |
| 36. |
Initial Value Problems 'IVP' are solved without first determing a general solution in |
| A. | differentiation |
| B. | integration |
| C. | Laplace transform |
| D. | None of these |
| Answer» D. None of these | |
| 37. |
An initial value problem is a |
| A. | integration equation |
| B. | differentiation equation |
| C. | infinite equation |
| D. | difference equation |
| Answer» C. infinite equation | |
| 38. |
Laplace transform of function f(t)=sin(wt- ) is |
| A. | cos (w/(s +w )) |
| B. | sin (s/(s +w )) |
| C. | cos (w/(s +w ))sin (s/(s +w )) |
| D. | cos (w/(s +w ))+sin (s/(s +w )) |
| Answer» E. | |
| 39. |
Experiments show for a gas at low pressure p and constant temperature T has rate of change of volume V(p) equals to |
| A. | p |
| B. | V/p |
| C. | p/V |
| D. | pV |
| Answer» C. p/V | |
| 40. |
Ordinary differential equations model |
| A. | no dimensional system |
| B. | random dimensional system |
| C. | one dimensional system |
| D. | two dimensional system |
| Answer» D. two dimensional system | |
| 41. |
(y-x) x+4xy y=0 is a |
| A. | linear equation |
| B. | non-linear equation |
| C. | algebraic equation |
| D. | logical equation |
| Answer» B. non-linear equation | |
| 42. |
Word differential and equations certainly suggest some kind of equations that contain |
| A. | integrations |
| B. | derivatives |
| C. | algebras |
| D. | arithmetic |
| Answer» C. algebras | |
| 43. |
[a,+ ]={x| x>a} |
| A. | open bounded |
| B. | close bounded |
| C. | open unbounded |
| D. | close unbounded |
| Answer» E. | |
| 44. |
Laplace transform of function f(t)=sin(wt) is |
| A. | s/(s +w ) |
| B. | s/(s-w) |
| C. | |
| D. | D. |
| Answer» E. | |
| 45. |
Antiderivative of certain elementary functions cannot themselves be expressed as |
| A. | elementary function |
| B. | exponential function |
| C. | transfer function |
| D. | unidirectional function |
| Answer» B. exponential function | |
| 46. |
Model in which every set of variable states is uniquely determined by parameters in model and by sets of previous states of these variables is termed as |
| A. | Deterministic model |
| B. | Probabilistic model |
| C. | Statistic model |
| D. | Stochastic model |
| Answer» B. Probabilistic model | |
| 47. |
A/b=c/d only if |
| A. | a=d |
| B. | |
| C. | C. |
| D. | D. |
| Answer» C. C. | |
| 48. |
A differential equation is said to be separable if variables can be |
| A. | combined |
| B. | separable |
| C. | integrate |
| D. | differentiated |
| Answer» C. integrate | |
| 49. |
A value of an evolving variable at some point in time designated as initial time (typically denoted t = 0) is termed as |
| A. | dynamic value |
| B. | static value |
| C. | substitution value |
| D. | seed value |
| Answer» E. | |
| 50. |
Prime notation is used to denote only |
| A. | first derivative |
| B. | first two derivatives |
| C. | first three derivatives |
| D. | first four derivatives |
| Answer» D. first four derivatives | |