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This section includes 75 Mcqs, each offering curated multiple-choice questions to sharpen your Quantitative Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is |
| A. | 2/5 |
| B. | 3/2 |
| C. | –5/4 |
| D. | 15/4 |
| Answer» E. | |
| 52. |
For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines? |
| A. | 1/2 |
| B. | - 1/2 |
| C. | –2 |
| D. | 2 |
| Answer» E. | |
| 53. |
The pair of equations x = a and y = b graphically represents lines which are |
| A. | parallel |
| B. | coincident |
| C. | intersecting at (a, b) |
| D. | intersecting at (b, a) |
| Answer» D. intersecting at (b, a) | |
| 54. |
The pair of equations y = 0 and y = –7 has |
| A. | one solution |
| B. | two solutions |
| C. | infinitely many solutions |
| D. | no solution |
| Answer» E. | |
| 55. |
If a pair of linear equations is consistent, then the lines will be |
| A. | parallel |
| B. | always coincident |
| C. | always intersecting |
| D. | intersecting or coincident |
| Answer» E. | |
| 56. |
The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have |
| A. | no solution |
| B. | a unique solution |
| C. | exactly two solutions |
| D. | infinitely many solutions |
| Answer» B. a unique solution | |
| 57. |
Graphically, the pair of equations (a)6x – 3y + 10 = 0 (b)2x – y + 9 = 0 represents two lines which are |
| A. | parallel |
| B. | coincident |
| C. | intersecting at exactly one point |
| D. | intersecting at exactly two points |
| Answer» B. coincident | |
| 58. |
Two variables x and y if involved in linear equation then equation is |
| A. | ac+bx = y |
| B. | ax+bc = y |
| C. | ax+by = c |
| D. | ab+xy = c |
| Answer» D. ab+xy = c | |
| 59. |
Three dimensional coordinate system is one in which coordinates intersect each other atA |
| A. | zero points |
| B. | positive points |
| C. | negative points |
| D. | absolute points |
| Answer» B. positive points | |
| 60. |
Graph of linear equation with two variables is plotted in |
| A. | one dimension |
| B. | two dimensions |
| C. | three dimensions |
| D. | four dimensions |
| Answer» B. two dimensions | |
| 61. |
In linear equation 'ax+by = c' a and b cannot be equal |
| A. | to zero |
| B. | to one |
| C. | to rational numbers |
| D. | set of even numbers |
| Answer» B. to one | |
| 62. |
In graphically representation of equation, number of dimensions is determined by |
| A. | number of axes |
| B. | number of octants |
| C. | number of variables |
| D. | number of quadrants |
| Answer» D. number of quadrants | |
| 63. |
Ordered pair of x-intercept can be find by substituting the |
| A. | x = 0 |
| B. | y = 0 |
| C. | a = 0 |
| D. | b = 0 |
| Answer» C. a = 0 | |
| 64. |
In Gaussian elimination method, original equations are transformed by using |
| A. | row operations |
| B. | subset operations |
| C. | column operations |
| D. | mathematical operations |
| Answer» B. subset operations | |
| 65. |
Equation of straight line with slope -8 and y intercept (0,16) is written as |
| A. | y = 16x+(-8) |
| B. | x = -8x +16 |
| C. | y = -8x + 16 |
| D. | 8 = y+(-16) |
| Answer» B. x = -8x +16 | |
| 66. |
Slope intercept form of linear equation is |
| A. | y = b⁄c - ax⁄b |
| B. | y = c⁄b - ab⁄x |
| C. | y = c⁄b - ax⁄b |
| D. | xy = bx⁄c - ay⁄b |
| Answer» D. xy = bx⁄c - ay⁄b | |
| 67. |
Axes in three dimension coordinate system divide plane in three spaces called |
| A. | octants |
| B. | quadrants |
| C. | space divide |
| D. | dimension divider |
| Answer» B. quadrants | |
| 68. |
Two equations that can be drawn as same line on graph then these equations are considered as |
| A. | solved equations |
| B. | constant equations |
| C. | equivalent equations |
| D. | non-equivalent equations |
| Answer» D. non-equivalent equations | |
| 69. |
Variables of linear equation is implicitly raised to |
| A. | first power |
| B. | second power |
| C. | third power |
| D. | four power |
| Answer» B. second power | |
| 70. |
First step in graphing linear equation is to |
| A. | connect two points |
| B. | extend straight line |
| C. | substitute values in intercept |
| D. | identify and plot coordinates |
| Answer» E. | |
| 71. |
Method in which both sides of equation are multiplied by nonzero constant is classified as |
| A. | Gaussian elimination method |
| B. | Gaussian substitute procedure |
| C. | Gaussian consistent procedure |
| D. | Gaussian inconsistent procedure |
| Answer» B. Gaussian substitute procedure | |
| 72. |
System of equations is always characterized by its |
| A. | octants |
| B. | dimensions |
| C. | equation ordinate |
| D. | equation mantissa |
| Answer» C. equation ordinate | |
| 73. |
Slope of straight line of any equation with intercepts can be |
| A. | zero or undefined |
| B. | positive |
| C. | negative |
| D. | all of above |
| Answer» E. | |
| 74. |
Inversely proportional increase and decrease in values of y and x on a straight line shows slope is |
| A. | ordered |
| B. | constant |
| C. | negative |
| D. | real variable |
| Answer» D. real variable | |
| 75. |
In ordered pair (-8,6) of linear equation, y-intercept is |
| A. | 6 |
| B. | -6 |
| C. | 8 |
| D. | -8 |
| Answer» B. -6 | |