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.

501.

If tan 45 = cot , then the value of , in radians is

A.
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td></tr><tr><td style="text-align: center;">9</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </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> </center></td></tr><tr><td style="text-align: center;">12</td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td></tr><tr><td style="text-align: center;">12</td></tr></table>
Discussion
502.

From an aeroplane just over a straight road, the angles of depression of two consecutive kilometre stones situated at opposite sides of the aeroplane were found to be 60 and 30 respectively. The height (in km) of the aeroplane from the road at that instant was (Given

A. 0.433
B. 8.66
C. 4.33
D. 0.866
Answer» E.
Discussion
503.

If sinA + sin

A. 1
B. 2
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;">4</td></tr></table>
Answer» B. 2
Discussion
504.

If sinC sinD = x, then the value of x 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-obracket-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-cbracket-h1.gif"></td><td rowspan="2"> cos </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-obracket-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-cbracket-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-obracket-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-cbracket-h1.gif"></td><td rowspan="2"> cos </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-obracket-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-cbracket-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"> 2cos </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-obracket-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-cbracket-h1.gif"></td><td rowspan="2"> sin </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-obracket-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-cbracket-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"> 2sin </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-obracket-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-cbracket-h1.gif"></td><td rowspan="2"> sin </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-obracket-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>(D C)</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cbracket-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"> 2sin </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-obracket-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-cbracket-h1.gif"></td><td rowspan="2"> sin </td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-obracket-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>(D C)</center></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cbracket-h1.gif"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
Discussion
505.

If sin + cos = 3 then the value of sin4 cos4 is sin cos

A. <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;">3</td></tr></table>
B. <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>
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;">3</td></tr></table>
D. <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>
Answer» E.
Discussion
506.

If sin + cos = 1, then sin . cos . is equal to

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 rowspan="2"> </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» B. 1
Discussion
507.

If tan = 2, then the value ofsin issin3 + cos3

A. <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;">9</td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">5</span></center></td></tr><tr><td style="text-align: center;">9</td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>10</center></td></tr><tr><td style="text-align: center;">9</td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 <span style=" text-decoration: overline;">5</span></center></td></tr><tr><td style="text-align: center;">9</td></tr></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 <span style=" text-decoration: overline;">5</span></center></td></tr><tr><td style="text-align: center;">9</td></tr></table>
Discussion
508.

If cosec + sin = 5 then the value of sinq is equal to cosec sin 3

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;"> <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></center></td></tr><tr><td style="text-align: center;">2</td></tr></table>
D. 1
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;"> <span style=" text-decoration: overline;">2</span></td></tr></table>
Discussion
509.

If r sin = 1, r cos =

A. 4
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;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
C. <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;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
D. 4
E. <span style=" text-decoration: overline;">3</span>
Answer» D. 4
Discussion
510.

(1 + sec 20 + cot 70 )(1 cosec 20 + tan70 ) is equal to

A. 0
B. 1
C. 2
D. 3
Answer» D. 3
Discussion
511.

The value of q, which satisfies the equation tan + 3 = 3 sec , 0 < 90 is

A. 15 or 0
B. 30 or 0
C. 45 or 0
D. 60 or 0
Answer» E.
Discussion
512.

The numerical value of5+ 2 + 3 sinsec is:sec 1 + cot

A. 5
B. 2
C. 3
D. 4
Answer» B. 2
Discussion
513.

If tan =8 , the value of 1 sin is :15 1 + 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;">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. 0
Answer» D. 0
Discussion
514.

The value of sin + sin is :1 + cos 1 cos

A. 2sin
B. 2cos
C. 2sec
D. 2cosec
Answer» E.
Discussion
515.

If tan 3 . tan 7 = 1, then the value of tan ( + 36 ) 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;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
B. 0
C. 1
D.
E. <span style=" text-decoration: overline;">3</span>
Answer» D.
Discussion
516.

The value of 8 (sin

A. 20
B. 20
C. 4
D. 4
Answer» D. 4
Discussion
517.

If tan

A. 2
B. 0
C. 1
D. 1
Answer» D. 1
Discussion
518.

The degree measure of 1 radian (taking = (22 / 7)) is

A. 57 61 22 (approx.)
B. 57 16 22 (approx.)
C. 57 22 16 (approx.)
D. 57 32 16 (approx.)
Answer» C. 57 22 16 (approx.)
Discussion
519.

The circular measure of an angle of an isosceles triangle is (5 / 9) . Circular measure of one of the other angles must be

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td><td rowspan="2"></td></tr><td align="center">18</td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td><td rowspan="2"></td></tr><td align="center">9</td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2 </center></td><td rowspan="2"></td></tr><td align="center">9</td></table>
D.
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>4 </center></td><td rowspan="2"></td></tr><td align="center">9</td></table>
Answer» D.
Discussion
520.

In circular measure, the value of the angle 11 15' is

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>c</sup></center></td><td rowspan="2"></td></tr><td align="center">16</td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>c</sup></center></td><td rowspan="2"></td></tr><td align="center">8</td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>c</sup></center></td><td rowspan="2"></td></tr><td align="center">4</td></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>c</sup></center></td><td rowspan="2"></td></tr><td align="center">12</td></table>
Answer» B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <sup>c</sup></center></td><td rowspan="2"></td></tr><td align="center">8</td></table>
Discussion
521.

A kite is flying at the height of 75 m from the ground. The string makes an angle q (where cotq = 8/15 ) with the level ground. Assuming that there is no slack in the string the length of the string is equal to :

A. 85 metre
B. 65 metre
C. 75 metre
D. 40 metre
Answer» B. 65 metre
Discussion
522.

If a 48 m tall building has a shadow of 48

A. 15
B. 60
C. 45
D. 30
Answer» E.
Discussion
523.

Two towers A and B have lengths 45 m and 15 m respectively. The angle of elevation from the bottom of the tower B to the top of the tower A is 60 . If the angle of elevation from the bottom of tower A to the top of the tower B is then value of sin is :

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><td align="center"> <span style=" text-decoration: overline;">2</span></td></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td></tr><td align="center">2</td></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></center></td></tr><td align="center">2</td></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></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></tr><td align="center">2</td></table>
Discussion
524.

In a triangle ABC, ABC = 75 and ACB = c. The circular measure of BAC is 4

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>5 </center></td><td rowspan="2">radian</td></tr><td align="center">12</td></table>
B.
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">radian</td></tr><td align="center">3</td></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">radian</td></tr><td align="center">6</td></table>
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">radian</td></tr><td align="center">2</td></table>
Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> </center></td><td rowspan="2">radian</td></tr><td align="center">3</td></table>
Discussion
525.

If 3 cos + 4 sin = 5, then tan = ?

A. <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;">3</td></tr></table>
B. <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>
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.
E. <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;">3</td></tr></table>
Answer» B. <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>
Discussion
526.

Find the simplest numerical value of 3 (sin x cos x)

A. 12
B. 10
C.
D. 21
E. 13
Answer» E. 13
Discussion
527.

A telegraph post is bent at a point above the ground due to starm. Its top just touches the ground at a distance of 10

A. 30
B. 24
C. 20
D. 25
Answer» B. 24
Discussion
528.

The value of cos

A.
B. <span style=" text-decoration: overline;">2</span>
C. 2
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;">2</span></td></tr></table>
E. 1
Answer» E. 1
Discussion
529.

If cot = 4, then the value of5sin + 3cos is 5sin 3cos

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;">9</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. 3
D. 9
E. None of these
Answer» F.
Discussion
530.

The height of a tower is 50

A. 30
B. 45
C. 60
D. 90
Answer» D. 90
Discussion
531.

The angle of elevation of the top of a building from the top and bottom of a tree are x and y respectively. If the height of the tree is h metre, then (in metre) the height of the building is

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h cot x</center></td></tr><td align="center">cot x + cot y</td></table>
B.
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h cot y</center></td></tr><td align="center">cot x + cot y</td></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h cot x</center></td></tr><td align="center">cot x - cot y</td></table>
E. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h cot y</center></td></tr><td align="center">cot x - cot y</td></table>
Answer» D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h cot x</center></td></tr><td align="center">cot x - cot y</td></table>
Discussion
532.

If for any acute angle A, sin A + sin A = 1, then the value of cos A + cos

A. - 1
B. 1
C. 2
D. 0
Answer» C. 2
Discussion
533.

A telegraph post is bent at a point above the ground due to storm. Its top just meets the ground at a distance of 8

A. 16 metres
B. 23 metres
C. 24 metres
D. 10 metres
Answer» D. 10 metres
Discussion
534.

At a point on a horizontal line through the base of a monument, the angle of elevation of the top of the monument is found to be such that its tangent is 1/5. On walking 138 metres towards the monument the secant of the angle of elevation is found to be

A. 35
B. 49
C. 42
D. 56
Answer» D. 56
Discussion
535.

The angle of elevation of the top of a building and the top of the chimney on the roof of the building from a point on the ground are x and 45 respectively. The height of building is h metre. Then the height of the chimney, (in metre) is :

A. h cot x + h
B. h cot x h
C. h tan x h
D. h tan x + h
Answer» C. h tan x h
Discussion
536.

If y = 2sec and x = 3 tan thenx2 y2 is94

A. 0
B. 1
C. 2
D. 1
Answer» C. 2
Discussion
537.

The value of (1 + tan

A. 2
B. 1
C. 1
D. 2
Answer» C. 1
Discussion
538.

If tan = tan 30 . tan 60 and q is an acute angle, then 2 is equal to

A. 30
B. 45
C. 90
D. 0
Answer» D. 0
Discussion
539.

If a

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b<sup>2</sup> a<sup>2</sup> +2c<sup>2</sup></center></td></tr><tr><td style="text-align: center;">b<sup>2</sup> + a<sup>2</sup></td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b<sup>2</sup> + a<sup>2</sup> 2c<sup>2</sup></center></td></tr><tr><td style="text-align: center;">b<sup>2</sup> a<sup>2</sup></td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b<sup>2</sup> a<sup>2</sup> 2c<sup>2</sup></center></td></tr><tr><td style="text-align: center;">b<sup>2</sup> + a<sup>2</sup></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b<sup>2</sup> a<sup>2</sup> </center></td></tr><tr><td style="text-align: center;">b<sup>2</sup> + a<sup>2</sup> + 2c<sup>2</sup></td></tr></table>
Answer» C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b<sup>2</sup> a<sup>2</sup> 2c<sup>2</sup></center></td></tr><tr><td style="text-align: center;">b<sup>2</sup> + a<sup>2</sup></td></tr></table>
Discussion
540.

If + = 7 and tan = 3 , then the value of tan is :12

A.
B. <span style=" text-decoration: overline;">3</span>
C. 1
D. 0
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;"> <span style=" text-decoration: overline;">3</span></td></tr></table>
Answer» C. 1
Discussion
541.

What is the value of (cot + cosec - 1) ?(cot - cosec + 1)

A. cot + cosec
B. 1
C. 1
D. 0
Answer» B. 1
Discussion
542.

Find the value of 8 cos 10 cos20 cos 40 .

A. tan80
B. cot10
C. tan80 or cot 10
D. None of these
Answer» D. None of these
Discussion
543.

If sec + tan = 2, then the value of sin is :

A. <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>
B. <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;">5</td></tr></table>
C. <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>
D. <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>
Answer» E.
Discussion
544.

A vertical pole AB is standing at the centre B of a square PQRS.If PR subtends an angle of 90 at the top, A of the pole, then the angle subtended by a side of the square at A is :

A. 30
B. 45
C. 60
D. None of these
Answer» D. None of these
Discussion
545.

If sin = a cos and cos = b sin , then the value of (a

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a<sup>2</sup> + b<sup>2</sup></center></td></tr><tr><td style="text-align: center;">a<sup>2</sup></td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a<sup>2</sup> + b<sup>2</sup></center></td></tr><tr><td style="text-align: center;">b<sup>2</sup></td></tr></table>
C. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a<sup>2</sup> - b<sup>2</sup></center></td></tr><tr><td style="text-align: center;">b<sup>2</sup></td></tr></table>
D. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a<sup>2</sup> - b<sup>2</sup></center></td></tr><tr><td style="text-align: center;">a<sup>2</sup></td></tr></table>
Answer» E.
Discussion
546.

Find the value of cot - tan - 2tan 323216

A. <table><tr><td rowspan="2">4cot</td><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;">8</td></tr></table>
B. 0
C. <table><tr><td rowspan="2">2cot</td><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;">8</td></tr></table>
D. <table><tr><td rowspan="2">cot</td><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;">8</td></tr></table>
Answer» B. 0
Discussion
547.

For how many integral values of x , sin = ( 3x - 2) , where0 90 4

A. 2
B. 3
C. 0
D. 1
Answer» B. 3
Discussion
548.

If cos + sec =

A. 1
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;"> <span style=" text-decoration: overline;">2</span></td></tr></table>
C. 0
D.
E. <span style=" text-decoration: overline;">2</span>
Answer» D.
Discussion
549.

The value of the following is : sin cosec tan cot sin2 + cos2

A. 1
B. tan
C. 0
D. 2
Answer» B. tan
Discussion
550.

The respective ratio between the height of tower and the point at some distance from its foot is 535: . What will be the angle of elevation of the top of the tower?

A. 30
B. 60
C. 90
D. 45
Answer» C. 90
Discussion