Explore topic-wise MCQs in Aptitude.

This section includes 639 Mcqs, each offering curated multiple-choice questions to sharpen your Aptitude knowledge and support exam preparation. Choose a topic below to get started.

251.

If cosC cosD = y, then the value of y is

A. <table><tr><td rowspan="2">2sin</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">.sin</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C - D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td rowspan="2">2cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">.cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C - D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td rowspan="2">- 2sin</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">.sin</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C - D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td rowspan="2">- 2cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">.cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C - D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
Answer» D. <table><tr><td rowspan="2">- 2cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">.cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C - D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
Discussion
252.

What is the angle in radian through which a pendulum swings and its length is 75 cm and the tip describes an arc of length 21 cm.

A. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td><sup>R</sup></td></tr><tr><td style="text-align: center;">25</td></tr></table>
B. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td><sup>R</sup></td></tr><tr><td style="text-align: center;">25</td></tr></table>
C. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td><sup>R</sup></td></tr><tr><td style="text-align: center;">21</td></tr></table>
D. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td><sup>R</sup></td></tr><tr><td style="text-align: center;">15</td></tr></table>
Answer» C. <table><tr><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td><sup>R</sup></td></tr><tr><td style="text-align: center;">21</td></tr></table>
Discussion
253.

If sinC + sinD = x, then the value of x is

A. <table><tr><td rowspan="2">2 sin</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">sin </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td rowspan="2">2 sin</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td rowspan="2">2 cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td rowspan="2">2 sin</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C + D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C D</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
Answer» E.
Discussion
254.

If tan = x y , the value of sin is equal to [If 0 90 ]x + y

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x y</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2(x<sup>2</sup> + y<sup>2</sup>)</span></td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x + y</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2(x<sup>2</sup> + y<sup>2</sup>)</span></td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x + y</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2(x<sup>2</sup> y<sup>2</sup>)</span></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x y</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2(x<sup>2</sup> y<sup>2</sup>)</span></td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x + y</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2(x<sup>2</sup> + y<sup>2</sup>)</span></td></tr></table>
Discussion
255.

The radian measure of 120 will be

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3 </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2 </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» E.
Discussion
256.

If tan (a b) = 1, sec (a + b) = 2/

A. <table><tr><td rowspan="2">142</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 </center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td rowspan="2">187</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 </center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td rowspan="2">7</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 </center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td rowspan="2">37</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 </center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» E.
Discussion
257.

The value of tan 315 cot ( 405 ) is equal to

A. 1
B. 1
C. 0
D. 2
Answer» C. 0
Discussion
258.

If cos /cos = m and cos /sin = n, then the value of (m + n ) cos b is :

A. n
B. m
C. mn
D. 1
Answer» B. m
Discussion
259.

What will be the radius of circle in which a central angle of 60 intercepts an arc of length 37.4 cm.

A. 35 cm
B. 34.7 cm
C. 35.7 cm
D. 40 cm
Answer» D. 40 cm
Discussion
260.

What is the value of cosec ( 1410 ) ?

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
B. 2
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
261.

If sin cos = 1/4 , then the value of (sin

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">4</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">16</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">16</td></tr></table>
Discussion
262.

If 2y cosq = x sin and 2x sec y cosec = 3 then what is the value of (x + 4y ) ?

A. 4
B. 1
C. 2
D. 5
Answer» B. 1
Discussion
263.

If cosA + cos A = 1, then the value of (sin A + sin

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
D. 1
Answer» E.
Discussion
264.

If sin (3x 20 ) = cos (3y + 20 ), then find the value of (x + y).

A. 90
B. 60
C. 120
D. 30
Answer» E.
Discussion
265.

If sinx cosx = 1, where x is an acute angle, the value of (sinx + cosx) is :

A. 0
B. 1
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. 2
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
266.

If 3 sinq + 4 cosq = 5, (0 < < 90 ) then the value of sinq is :

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
Discussion
267.

The value of cos 20 + cos 70 is:

A. 0
B. 1
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
268.

The value of sin 63 + sin 27 is :2

A. 0
B. 1
C. 2
D. 1
Answer» C. 2
Discussion
269.

If a.sin 45 . cos 45 . tan60 = tan 45 cos 60 , then find the value of a.

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
B.
C. <span style=" text-decoration: overline;">3</span>
D. 1
E. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» B.
Discussion
270.

What is the value of cos 105 ?

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 - <span style=" text-decoration: overline;">3</span></center></td></tr><tr><td style="text-align: center;">2 <span style=" text-decoration: overline;">2</span></td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 + <span style=" text-decoration: overline;">3</span></center></td></tr><tr><td style="text-align: center;">2 <span style=" text-decoration: overline;">2</span></td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span> - 1</center></td></tr><tr><td style="text-align: center;">2 <span style=" text-decoration: overline;">2</span></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td></tr><tr><td style="text-align: center;">2 <span style=" text-decoration: overline;">2</span></td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1 + <span style=" text-decoration: overline;">3</span></center></td></tr><tr><td style="text-align: center;">2 <span style=" text-decoration: overline;">2</span></td></tr></table>
Discussion
271.

If cosq = 1/2 and lies in third quadrant, then what will be the value of sin + tan

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
B.
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
E. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">3</span></center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
272.

The value of = sin 50 + cos70 -2tan 225 is equal tosin 130 cos 110

A. 1
B. 2
C. 2
D. 0
Answer» C. 2
Discussion
273.

The value of sin5 sin is1212

A.
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">8</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
E. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">6</td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table>
Discussion
274.

What is the value of tan 56 ?

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>cos 11 - sin 11 </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">cos 11 + sin 11 </td></tr></table>
B. <table><tr><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>cos 11 + sin 11 </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">cos 11 - sin 11 </td></tr></table>
C. <table><tr><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>cos 11 + sin 11 </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">sin 11 - cos 11 </td></tr></table>
D. <table><tr><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>cos 11 - sin 11 </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">sin 11 + cos 11 </td></tr></table>
Answer» C. <table><tr><td rowspan="2"> = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>cos 11 + sin 11 </center></td><td rowspan="2"></td></tr><tr><td style="text-align: center;">sin 11 - cos 11 </td></tr></table>
Discussion
275.

The value of 3cos + cos3 is equal to 3sin - sin3

A. tan
B. cot
C. sin
D. cos
Answer» C. sin
Discussion
276.

Ifsin(x + y) = a + b, then the value of tan xis equal tosin(x - y)a - btan y

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2a</center></td></tr><tr><td style="text-align: center;">b</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td></tr><tr><td style="text-align: center;">b</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td></tr><tr><td style="text-align: center;">2b</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2a</center></td></tr><tr><td style="text-align: center;">3b</td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td></tr><tr><td style="text-align: center;">2b</td></tr></table>
Discussion
277.

The value of sin (45 + ) cos(45 ) is

A. 2cos
B. 2sin
C. 1
D. 0
Answer» E.
Discussion
278.

If sin + cos = 1, then the value of sin2 is equal to

A. 1
B. 1/2
C. 0
D. - 1
Answer» D. - 1
Discussion
279.

The value of 2cos cos9 + cos 3 + cos 5 is 13131313

A. 1/2
B. 0
C. -1/2
D. 1/8
Answer» C. -1/2
Discussion
280.

The shadow of a vertical tower increases 10 metre, when the altitude of the sun changes from 45 to 30 . What is the height of tower ? ( = 1.73)

A. 12.65 metre
B. 13.65 metre
C. 14.65 metre
D. 16.65 metre
Answer» C. 14.65 metre
Discussion
281.

If tan A = 1 - cos B, then tan 2A is equal to sin B

A. cot B
B. tan B
C. cos B
D. cosec B
Answer» C. cos B
Discussion
282.

Which of the folliwing is correct ?

A. sin1 > sin1
B. sin1 < sin1
C. sin1 = sin1
D. <table><tr><td rowspan="2">sin 1 = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">sin1</td></tr><tr><td style="text-align: center;">18 </td></tr></table>
Answer» C. sin1 = sin1
Discussion
283.

The value ofcos + cos will besin + sin

A. <table><tr><td rowspan="2">tan</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> + </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td rowspan="2">cot</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> + </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C.
D. <table><tr><td rowspan="2">tan</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> - </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
E. <table><tr><td rowspan="2">cot</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> - </center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» C.
Discussion
284.

If + = , then the value of (1 + tan )(1 + tan ) is 4

A. 1
B. 2
C. 2
D. 5
Answer» C. 2
Discussion
285.

If cos + sec = 2, then cos5 + sec5 = ?

A. 1
B. 2
C. 1
D. 2
Answer» C. 1
Discussion
286.

2 (sin

A. 1
B. 0
C. 1
D. 2
Answer» C. 1
Discussion
287.

If sin + sin + sin = 1, then, cos

A. 2
B. 3
C. 4
D. 0
Answer» D. 0
Discussion
288.

If A + B = 90 , then tanA . tanB + tanA . cotB = sin B = ?sinA . secBcos A

A. 2 tan A
B. tan A
C.
D. tan A
E. 2cot B
Answer» C.
Discussion
289.

Evaluate : tan 60 + 4cos 45 + 3sec 30 + 5cos 90 cosec 30 + sec 60 - cotsec 30

A. 4
B. 9
C. 7
D. 1
Answer» C. 7
Discussion
290.

If , and each is positive acute angle, and sin ( + ) = 1/2 , cos ( + ) = 1/2 and tan ( + ) = 1 then 2 + = ?

A. 105
B. 115
C. 110
D. 120
Answer» E.
Discussion
291.

To a man standing at the mid point of the line joining the feet of two vertical poles of same height. the angle of elevation of the tip of each pole is 300. When the man advances a distance of 40 metres towards one pole, the angle of elevation of the tip of this pole is 60 . What is the distance between the two poles ?

A. 120 metre
B. 110 metre
C. 130 metre
D. 115 metre
Answer» B. 110 metre
Discussion
292.

Find the value of sin 1 + sin 3 + sin 5 + ...... sin 87 + sin 89 .

A. <table><tr><td rowspan="2">23</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td rowspan="2">22</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
C. <table><tr><td rowspan="2">11</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. <table><tr><td rowspan="2">12</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Answer» C. <table><tr><td rowspan="2">11</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
293.

If sin A = 3 and cos B = 12, what is the value of tanA - tanB5131 + tanA tanB

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>15</center></td></tr><tr><td style="text-align: center;">63</td></tr></table>
B.
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>19</center></td></tr><tr><td style="text-align: center;">63</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>17</center></td></tr><tr><td style="text-align: center;">65</td></tr></table>
E. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>16</center></td></tr><tr><td style="text-align: center;">63</td></tr></table>
Answer» E. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>16</center></td></tr><tr><td style="text-align: center;">63</td></tr></table>
Discussion
294.

If sec + tan =

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">2</span></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Answer» E.
Discussion
295.

If cos4 sin4 = 1 , then the value of tan2 is3

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">4</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><tr><td style="text-align: center;">3</td></tr></table>
Discussion
296.

The value of sec2 17 1 sin 17 sec 73 is tan273

A. 1
B. 0
C. 1
D. 2
Answer» C. 1
Discussion
297.

If x tan 60 + cos 45 = sec 45 then the value of (x

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>6</center></td></tr><tr><td style="text-align: center;">7</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>7</center></td></tr><tr><td style="text-align: center;">6</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5</center></td></tr><tr><td style="text-align: center;">6</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>6</center></td></tr><tr><td style="text-align: center;">5</td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5</center></td></tr><tr><td style="text-align: center;">6</td></tr></table>
Discussion
298.

If be an acute angle and a sin b cos = 0, what will be the values of sin and cos in terms of a and b ?

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b</center></td><td rowspan="2">, </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> - b</center></td><td rowspan="2">, </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b</center></td><td rowspan="2">, </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> - a</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b </center></td><td rowspan="2">, </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a </center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td></tr></table>
Answer» B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> - b</center></td><td rowspan="2">, </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td><td style="text-align: center;"> <span style=" text-decoration: overline;">a + b </span></td></tr></table>
Discussion
299.

If cosx . cosy + sinx . siny = 1 then cosx + cosy is

A. 2
B. 1
C. 0
D. 2
Answer» D. 2
Discussion
300.

If sin P + cosec P = 2, then the value of sin

A. 1
B. 2
C. 3
D. 0
Answer» C. 3
Discussion