121). The average of 7,11,15,x,14,21,25 is 15, then the value of x is
| A). 12 |
| B). 13.3 |
| C). 3 |
| D). 14.5 |
|
122). A boat can travel with a speed of 13 km/hr in still water. lf the speed of stream is 4 km/hrl in the same direction, time taken by boat to go 63 km in opposite direction is:
| A). \( \Large 3\frac{9}{17} \) hrs |
| B). 4hrs |
| C). 7 hrs |
| D). 9 hrs |
|
123). ABC is a cyclic triangle and the bisectors of \( \angle BAC, \angle ABC AND \angle BCA \) meet the ircvler at P, Q and R respectively. Then the \( \angle RQP \) is
| A). \( \Large 90 ^{\circ} -\frac{A}{2} \) |
| B). \( \Large 90 ^{\circ} + \frac{B}{2} \) |
| C). \( \Large 90 ^{\circ} - \frac{B}{2} \) |
| D). \( \Large 90 ^{\circ} + \frac{C}{2} \) |
|
124). lf \( \Large \frac{x}{y}=\frac{3}{4} \), the ratio of (2x + 3y) and (3y - 2x) is:
| A). 3 : 1 |
| B). 1 : 1 |
| C). 2 : 1 |
| D). 3 : 2 |
|
125). If \( \Large \theta \) is an acute angle and \( \Large tan^{2} \theta + \frac{1}{tan^{2} \theta } = 2, \)then the value of \( \theta \) is
| A). \( 60 ^{\circ} \) |
| B). \( 15 ^{\circ} \) |
| C). \( 45 ^{\circ} \) |
| D). \( 30 ^{\circ} \) |
|
126). XY and XZ are tangents to a circle. ST is another tangent to the circle at the point R on the circle, which intersects XY and XZ at S and T respectively. lf XY = 15 cm and TX= 9 cm, then RT is:
| A). 7.5 cm |
| B). 6 cm |
| C). 4.5 cm |
| D). 3 cm |
|
127). The simplified form of the given expression sinAcosA(tanA - cotA) is \( where \left(0 ^{\circ} \right) \le A \le 90 ^{\circ} \)
| A). \( 1-2sin^{2}A-1 \) |
| B). \( 2sin^{2}A-1 \) |
| C). 1 |
| D). \( 1-cos^{2}A \) |
|
128). If \( \Large \frac{cos \alpha }{sin \beta } = n \) and \( \Large \frac{cos \alpha }{sin \beta } = m \), then the value of \( \Large \frac{cos \alpha }{sin \beta } = m \) is :
| A). 0 |
| B). \( \Large \frac{n^{2}}{m^{2}+n^{2}} \) |
| C). \( \Large \frac{m^{2}}{m^{2+n^{2}}} \) |
| D). \( \Large \frac{1}{m^{2}+n^{2}} \) |
|
129). A and B entered into a partnership investing Rs.16000 and Rs.12000 respectively. After 3 months A withdrew Rs.5000 while B invested Rs.5000 more. After 3 more months C joins the business with a capital of Rs.21000. The share of B exceeds that of C, out of a total profit of Rs.26400 after 1 year by:
| A). Rs.4800 |
| B). Rs.3600 |
| C). Rs.1200 |
| D). Rs.2400 |
|
130). If m - 5n =2, then the value of, then the value of \( \left(m^{3}-125n^{3} - 30m\right) \) is :
|
