91). If \( \Large x + \frac{1}{x} = 3 \), then the value of \( \Large x^{2} + \frac{1}{x^{2}} \) is ----
| A). 9 |
| B). 10 |
| C). 27 |
| D). 7 |
|
92). If \( \Large log_{8}x + log_{8}\frac{1}{6} = \frac{1}{3} \), then the value of x is
| A). 18 |
| B). 24 |
| C). 16 |
| D). 12 |
|
93). If \( \Large x + \frac{1}{x} = 5 \), then the value of \( \Large x^{3} + \frac{1}{x^{3}} \) is ---
| A). 125 |
| B). 110 |
| C). 45 |
| D). 75 |
|
94). Of the following quadratic equations, which is the one whose roots are 2 and -15 ?
| A). \( \Large x^{2} - 2x + 15 = 0 \) |
| B). \( \Large x^{2} + 15x - 2 = 0 \) |
| C). \( \Large x^{2} + 13x - 30 = 0 \) |
| D). \( \Large x^{2} - 30 = 0 \) |
|
95). The locus of a point equidistant from the two fixed points is
| A). any straight line bisecting the segment joining the fixed points |
| B). any straight line perpendicular to the segment joining the fixed points |
| C). the straight line which is perpendicular bisector of the segment joining the fixed points |
| D). All of the above |
|
96). Any cyclic parallelogram having unequal adjacent sides is necessarily a
| A). square |
| B). rectangle |
| C). rhombus |
| D). trapezium |
|
97). The length of three sides of a triangle are known. In which of the cases given below, it is impossible to construct a triangle?
| A). 15 cm, 12 cm, 10 cm |
| B). 3.6 cm, 4.3 cm, 5.7 cm |
| C). 17 cm, 12 cm, 6 cm |
| D). 2.3 cm, 4.4 cm, 6.8 cm |
|
98). Two non-intersecting circles, one lying inside another are of diameters a and b. The minimum distance between b/w their circumferences is c. The distance between their centre is
| A). a - b - c |
| B). a + b - c |
| C). \( \Large \frac{1}{2} (a - b - c) \) |
| D). \( \Large \frac{1}{2} (a - b) - c \) |
|
99). A tin of oil was four fifth full. When six bottles of oil were taken out and four bottles of oil were poured into it, it was three fourth full. How many bottles of oil were contained by the tin?
| A). 10 |
| B). 20 |
| C). 30 |
| D). 40 |
|
100). A number consists of two digits. If the digits in the unit's place and the ten's place are 7 and x respectively, the number is ---
| A). x + 7 |
| B). 10 ( x + 7 ) |
| C). 70 + x |
| D). 10x + 7 |
|
