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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.
| 51. |
A differential equation that contains unknown variable functions and their partial derivatives is |
| A. | ordinary differential equation |
| B. | partial differential equation |
| C. | linear differential equation |
| D. | non linear differential equation |
| Answer» C. linear differential equation | |
| 52. |
Separation of variables method is also termed as |
| A. | Laplace method |
| B. | Fourier method |
| C. | Len method |
| D. | Gauss method |
| Answer» C. Len method | |
| 53. |
Inverse operation of logarithm is |
| A. | expansion |
| B. | differentiation |
| C. | integration |
| D. | exponential |
| Answer» E. | |
| 54. |
A parametric curve that represents a specific solution to an ordinary differential equation or system of equations is called |
| A. | integral curve |
| B. | straight curve |
| C. | exponential curve |
| D. | step up curve |
| Answer» B. straight curve | |
| 55. |
In differential equations, which represents their rates of change |
| A. | functions |
| B. | derivatives |
| C. | equations |
| D. | time |
| Answer» C. equations | |
| 56. |
Interval which does not include its endpoints, and is indicated with parentheses is known as |
| A. | infinite interval |
| B. | closed interval |
| C. | integer interval |
| D. | open interval |
| Answer» E. | |
| 57. |
Solution 'y' for y''-1/4y=0 by Laplace transform when y(0)=12, y'(0)=0 is |
| A. | 12cosht |
| B. | 12sinht |
| C. | 12cost |
| D. | 12sint |
| Answer» B. 12sinht | |
| 58. |
For a gas at low pressure p and constant temperature T has volume V equals to |
| A. | constant/p |
| B. | V/p |
| C. | P/V |
| D. | p |
| Answer» B. V/p | |
| 59. |
Model which represents objects in a continuous manner, such as velocity field of fluid in pipe flows, temperatures and stresses in a solid, and electric field that applies continuously over entire model due to a point charge is called |
| A. | Explicit model |
| B. | Implicit model |
| C. | Discrete model |
| D. | Continuous model |
| Answer» E. | |
| 60. |
Type of mathematics that converts problem of calculus to algebraic problems is known as |
| A. | dynamic calculus |
| B. | static calculus |
| C. | operational calculus |
| D. | theoretical calculus |
| Answer» D. theoretical calculus | |
| 61. |
If DE contains only ordinary derivatives of one or more unknown functions w.r.t single independent variable, it is said to be an |
| A. | ODE |
| B. | PDE |
| C. | DDE |
| D. | SDE |
| Answer» B. PDE | |
| 62. |
A formula or rule for computing derivative of composition of two or more functions is known as |
| A. | product rule |
| B. | composition rule |
| C. | chain rule |
| D. | distribution rule |
| Answer» D. distribution rule | |
| 63. |
Rate of change in phenomenas, experiments, observations or theories can be represented as |
| A. | integral equations |
| B. | differential equations |
| C. | algebraic equations |
| D. | logical equation |
| Answer» C. algebraic equations | |
| 64. |
Closed interval is denoted by |
| A. | (a,b) |
| B. | [a,b) |
| C. | (a,b] |
| D. | [a,b] |
| Answer» E. | |
| 65. |
Subsidiary equation is solved by purely algebraic manipulations in |
| A. | step1 |
| B. | step2 |
| C. | step3 |
| D. | step4 |
| Answer» C. step3 | |
| 66. |
A value that represents a quantity along a line is |
| A. | natural number |
| B. | whole number |
| C. | real number |
| D. | transfer number |
| Answer» D. transfer number | |
| 67. |
F(x)=-c/b is a |
| A. | Homogeneous solution |
| B. | Non homogeneous solution |
| C. | Partial solution |
| D. | Non linear solution |
| Answer» C. Partial solution | |
| 68. |
If A' growth rate of number of bacteria at any time t is proportional to number present at any time t than A' |
| A. | cA |
| B. | c+A |
| C. | c/A |
| D. | AA |
| Answer» B. c+A | |
| 69. |
Siny=1 is |
| A. | linear equation |
| B. | non-linear equation |
| C. | algebraic equation |
| D. | logical equation |
| Answer» C. algebraic equation | |
| 70. |
and e are |
| A. | algebraic number |
| B. | linear number |
| C. | non linear number |
| D. | transcendental number |
| Answer» E. | |
| 71. |
Interval used to indicate interval of all integers between a and b is called |
| A. | infinite interval |
| B. | closed interval |
| C. | integer interval |
| D. | open interval |
| Answer» D. open interval | |
| 72. |
Parametric representations are generally |
| A. | non unique |
| B. | unique |
| C. | function |
| D. | solution |
| Answer» B. unique | |
| 73. |
Linear differential equation of any order if there is no constant term is present is known as |
| A. | Homogeneous ODE |
| B. | Non homogeneous ODE |
| C. | Partial ODE |
| D. | Non linear ODE |
| Answer» B. Non homogeneous ODE | |
| 74. |
An equation containing a function of one independent variable and its derivatives is |
| A. | ordinary differential equation |
| B. | partial differential equation |
| C. | linear differential equation |
| D. | |
| Answer» B. partial differential equation | |
| 75. |
Ln(2) is |
| A. | binary logarithm |
| B. | natural logarithm |
| C. | common logarithm |
| D. | inverse logarithm |
| Answer» B. natural logarithm | |
| 76. |
Logarithm to base of mathematical constant e, where e is an irrational and transcendental number approximately equal to 2.718281828459 is called |
| A. | |
| B. | B. |
| C. | C. |
| D. | D. |
| Answer» C. C. | |
| 77. |
If in interval a and b are finite and are included, interval is called |
| A. | infinite interval |
| B. | closed interval |
| C. | exponential interval |
| D. | open interval |
| Answer» C. exponential interval | |
| 78. |
A nonlinear scale used when there is a large range of quantities is termed as |
| A. | exponential scale |
| B. | non linear scale |
| C. | algebraic scale |
| D. | logarithmic scale |
| Answer» E. | |
| 79. |
Ln a/b= |
| A. | lna+lnb |
| B. | lnaxlnb |
| C. | lna-lnb |
| D. | lna/lnb |
| Answer» D. lna/lnb | |
| 80. |
If number has one digit in integral part, then its characteristic is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| Answer» A. 1 | |
| 81. |
Decimal part of common logarithm of a number is called |
| A. | anti logarithm |
| B. | value |
| C. | digits |
| D. | mantissa |
| Answer» E. | |
| 82. |
Distance from Earth to Sun is approx |
| A. | 150,000,000 km |
| B. | 190,000,000 km |
| C. | 180,000,000 km |
| D. | 170,000,000 km |
| Answer» B. 190,000,000 km | |
| 83. |
If a number has no zero immediately after decimal point, characteristic is |
| A. | 1 |
| B. | -1 |
| C. | 3 |
| Answer» D. | |
| 84. |
If number has three digits in integral part, then its characteristic is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| Answer» B. 3 | |
| 85. |
Logarithm of unity to any number to itself as base should be |
| A. | 10 |
| B. | -1 |
| C. | 1 |
| Answer» D. | |
| 86. |
Useful tools for rapid and accurate Computation and avoiding an error of omitting/writing a zero is called |
| A. | logarithms |
| B. | matrix |
| C. | linear equation |
| D. | factorization |
| Answer» B. matrix | |
| 87. |
A logarithm table is divided in to |
| A. | 2 parts |
| B. | 4 parts |
| C. | 3 parts |
| D. | 5 parts |
| Answer» D. 5 parts | |
| 88. |
Logarithms of numbers having same sequence of significant digits have same |
| A. | mantissa |
| B. | anti logarithm |
| C. | value |
| D. | digits |
| Answer» B. anti logarithm | |
| 89. |
Decadic logarithm is also known as |
| A. | natural logarithm |
| B. | anti logarithm |
| C. | common logarithm |
| D. | mantissa |
| Answer» D. mantissa | |
| 90. |
Types of logarithms are |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 5 |
| Answer» D. 5 | |
| 91. |
Characteristic of log 0.000581 is |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | -4 |
| Answer» E. | |
| 92. |
Napier's logarithm is also called |
| A. | natural logarithm |
| B. | anti logarithm |
| C. | common logarithm |
| D. | mantissa |
| Answer» B. anti logarithm | |
| 93. |
Number whose logarithm is given is called |
| A. | geometric logarithm |
| B. | anti logarithm |
| C. | |
| D. | D. |
| Answer» C. | |
| 94. |
A concise, precise and convenient method to write very small or large numbers is called |
| A. | equation |
| B. | scientific notation |
| C. | matrix |
| D. | iota |
| Answer» C. matrix | |
| 95. |
Logarithms having base 10 are called |
| A. | pure logarithms |
| B. | common logarithms/Briggesian logarithms |
| C. | natural logarithms |
| D. | infinite logarithms |
| Answer» C. natural logarithms | |
| 96. |
Characteristic of log 0.03 is |
| A. | 1 |
| B. | 2 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 97. |
Idea of logarithms was firstly introduced by |
| A. | Henry Briggs |
| B. | John Napier |
| C. | Abu M. Musa Al Khwarizmi |
| D. | Jobst Burgi |
| Answer» D. Jobst Burgi | |
| 98. |
Characteristic of log 1563.4 is |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 99. |
Logarithms having base e are called |
| A. | pure logarithms |
| B. | common logarithms |
| C. | natural logarithms |
| D. | infinite logarithms |
| Answer» D. infinite logarithms | |
| 100. |
If log 27 = 1.431, then the value of log 9 is: |
| A. | 0.934 |
| B. | 0.945 |
| C. | 0.954 |
| D. | 0.958 |
| Answer» D. 0.958 | |