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.

451.

If tan2 . tan 4 = 1, then the value of tan 3 is

A.
B. <span style=" text-decoration: overline;">AAAA</span>
C. 0
D. 1
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table>
Answer» D. 1
Discussion
452.

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

A. 0
B. 1
C. 10
D. 2
Answer» E.
Discussion
453.

If sin + cosec = 2, then value of sin

A. 1
B. 2
C. 3
D. 100
Answer» C. 3
Discussion
454.

The simplified value of (see x sec y + tan x tan y) (sex x tan y + tan x sec y) is :

A. - 1
B. 0
C. sec x
D. 1
Answer» E.
Discussion
455.

The minimum value of sin + cos + sec + cosec + tan + cot is

A. 1
B. 3
C. 5
D. 7
Answer» E.
Discussion
456.

If is a positive acute angle and tan 2 tan 3 = 1, then the value of [2 cos (5 / 2) 1[ is

A. <table><tr><td rowspan="2">-</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
B.
C. 1
D. 0
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
Answer» D. 0
Discussion
457.

If tan x = sin 45 . cos 45 + sin 30 then the value of x is

A. 30
B. 45
C. 60
D. 90
Answer» C. 60
Discussion
458.

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45 to 60 . After this the time required by the vehicle to reach the bottom of the hill is

A. 12 minutes 20 seconds
B. 13 minutes
C. 13 minutes 40 seconds
D. 14 minutes 24 seconds
Answer» D. 14 minutes 24 seconds
Discussion
459.

If cos + cos = 2, then the value of tan&

A. - 1
B. 0
C. 1
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table>
Answer» C. 1
Discussion
460.

If tan =4, then the value of3sin + 2cos is33sin - 2cos

A. 0.5
B. 0.5
C. 3.0
D. 3.0
Answer» D. 3.0
Discussion
461.

If be a positive acute angle satisfying cos + cos

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
B.
C. 1
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
E. 0
Answer» C. 1
Discussion
462.

If tan = 1, then the value of8sin + 5cos issin3 - 2cos3 + 7cos

A. 2
B. <table><tr><td rowspan="2">2</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
C.
D. 3
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">5</td></table>
Answer» B. <table><tr><td rowspan="2">2</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
Discussion
463.

If A, B and C be the angles of a triangle, then put of the following, the incorrect relation is :

A. <table><tr><td rowspan="2">sin</td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>A + B</center></td><td rowspan="2">= cos<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>C</center></td><td rowspan="2"></td></tr><td align="center">2</td><td align="center">2</td></table>
B. <table><tr><td rowspan="2">cos</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</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 style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">C</td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td><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/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"> </td><td rowspan="2">= sec</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">C</td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td><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/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"> </td><td rowspan="2">= tan</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">C</td><td rowspan="2"></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">tan</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"> </td><td rowspan="2">= sec</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">C</td><td rowspan="2"></td></tr><tr><td style="text-align: center;">2</td><td style="text-align: center;">2</td></tr></table>
Discussion
464.

If 0 < x < ( / 2) and secx = cosecy, then the value of sin (x + y) is :

A. 0
B. 1
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></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><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table>
E.
Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
Discussion
465.

The simplified value of (sec A cos A) + (cosec A sin A) (cot A tan A) is

A. 0
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
C.
D. 1
E. 2
Answer» D. 1
Discussion
466.

The expressiontan 57 + cot 37 is equal totan 33 + cot 53

A. tan 33 cot 57
B. tan 57 cot 37
C. tan 33 cot 53
D. tan 53 cot 37
Answer» C. tan 33 cot 53
Discussion
467.

If sin 17 = (x / y) , then the value of (sec 17 sin 73 ) is

A.
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y </center></td></tr><td align="center">x <span style=" text-decoration: overline;">y - x </span></td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td></tr><td align="center">y <span style=" text-decoration: overline;">y - x </span></td></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td></tr><td align="center">y <span style=" text-decoration: overline;">x - y </span></td></table>
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y </center></td></tr><td align="center">x <span style=" text-decoration: overline;">x - y </span></td></table>
Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td></tr><td align="center">y <span style=" text-decoration: overline;">y - x </span></td></table>
Discussion
468.

If (cos / cot - cos ) = 3 and 0 < < 90 , then the value of is :

A. 30
B. 45
C. 60
D. None of these
Answer» D. None of these
Discussion
469.

The value of cosec 18 1iscot 72

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">3</span></td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center> <span style=" text-decoration: overline;">2</span></center></td><td rowspan="2"></td></tr><td align="center">3</td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
D.
E. 1
Answer» E. 1
Discussion
470.

The value of cos 1 cos 2 cos 3 ....... cos 177 cos 178 cos 179 is :

A. 0
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
C. 1
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">2</span></td></table>
Answer» B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
Discussion
471.

If sec = x +1(0 &lt; &lt; 90 ), then sec + tan is equal to 4x

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
B.
C. 2x
D. x
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2x</td></table>
Answer» C. 2x
Discussion
472.

If 7 sin + 3 cos = 4 (0 90 ), then value of is

A. <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"></td></tr><td align="center">2</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"></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"></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"></td></tr><td align="center">4</td></table>
Answer» 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"></td></tr><td align="center">6</td></table>
Discussion
473.

The value of (sin 25 + sin 65 ) is :

A. <table><tr><td rowspan="2"></td><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><td align="center">2</td></table>
B.
C. 1
D. 0
E. <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"> <span style=" text-decoration: overline;">3</span></td></table>
Answer» C. 1
Discussion
474.

If the sum and difference of two angles are (22 / 9) radian and 36 respectively, then the value of smaller angle in degree taking the value of as (22 / 7) is :

A. 52
B. 60
C. 56
D. 48
Answer» B. 60
Discussion
475.

The minimum value of 2 sin + 3 cos is

A. 0
B. 3
C. 2
D. 1
Answer» D. 1
Discussion
476.

Which of the following relations is correct for 0 < < 90 ?

A. sin = sin
B. sin < sin
C. sin > sin
D. sin = cosec
Answer» D. sin = cosec
Discussion
477.

The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 p.m. will be

A. <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"></td></tr><td align="center">4</td></table>
B. <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"></td></tr><td align="center">3</td></table>
C. <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">12</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"></td></tr><td align="center">2</td></table>
Answer» E.
Discussion
478.

ABCD is a rectangle of which AC is a diagonal. The value of (tan CAD + 1) sin BAC is

A. 2
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">4</td></table>
C.
D. 1
E. 0
Answer» D. 1
Discussion
479.

If 2 sin ( x / 2) = x + (1 / x ) , then the value of [x - (1 / x)] is

A. - 1
B. 2
C. 1
D. 0
Answer» E.
Discussion
480.

If 0 ( / 2) and sec + tan =7, then is

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">5</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">6</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
481.

The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60 and 30 respectively. The height of the pillar is

A. 10 m
B. 10
C. <span style=" text-decoration: overline;">3</span>
D. 60 m
E. 30 m
Answer» E. 30 m
Discussion
482.

The value of cos3 + sin3 -cos3 - sin3 is equal tocos + sin cos - sin

A. - 1
B. 1
C. 2
D. 0
Answer» D. 0
Discussion
483.

If is a positive acute angle and 3 (sec + tan ) = 5, then the value of cos 2 is

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">2</span></td></table>
C. <table><tr><td rowspan="2"></td><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><td align="center">2</td></table>
D.
E. 1
Answer» B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">2</span></td></table>
Discussion
484.

If (1 + sin A) (1 + sin B) (1 + sin C) = (1 sin A) (1 sin B) (1 sin C), 0 < A, B, C < ( / 2) then each side is equal to

A. sin A sin B sin C
B. cos A cos B cos C
C. tan A tan B tan C
D. 1
Answer» C. tan A tan B tan C
Discussion
485.

If cos + sec = 2, the value of cos

A. 4
B. 8
C. 1
D. 2
Answer» E.
Discussion
486.

If 29 tan = 31, then the value of

A. 810
B. 900
C. 540
D. 490
Answer» C. 540
Discussion
487.

If sec 15 = cosec 15 (0 < < 10 ) then value of is

A. 9
B. 5
C. 8
D. 3
Answer» E.
Discussion
488.

If 5 sin2 + 4cos2 = 9 and 0 &lt; &lt; then tan is equal to22

A. 1
B. 0
C. 1
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. 0
Discussion
489.

If sec

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. 1
C.
D. <span style=" text-decoration: overline;">3</span>
E. 0
Answer» D. <span style=" text-decoration: overline;">3</span>
Discussion
490.

If the sum of two angles is 135 and their difference is ( / 12) , then the circular measure of the greater angle is

A. <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">3</td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>3 </center></td><td rowspan="2"></td></tr><td align="center">5</td></table>
C. <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">12</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"></td></tr><td align="center">3</td></table>
Answer» 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"></td></tr><td align="center">3</td></table>
Discussion
491.

If in a triangle ABC, sin A = cos B, then the value of cos C is

A. <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>
B. 0
C. 1
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>
Answer» C. 1
Discussion
492.

If tan + 1 = 2 , then the value of tan2 + 1 is equal to :tan tan2

A. 6
B. 4
C. 2
D. 3
Answer» D. 3
Discussion
493.

Find the value of 1 + 1 .1 + tan2 1 + cot2

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;">4</td></tr></table>
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
494.

If be positive acute angle and 5 cos + 12 sin = 13, then the value of cos is

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>12</center></td></tr><tr><td style="text-align: center;">13 </td></tr></table>
B. <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;">13 </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;">12 </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» 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;">12 </td></tr></table>
Discussion
495.

If tan + cot = 5, then the value of tan

A. 22
B. 25
C. 23
D. 27
Answer» D. 27
Discussion
496.

If 7sin

A. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"> 2</td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span> </td></tr></table>
B. <table><tr><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>2</center></td><td rowspan="2"> + 2</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>2</center></td></tr><tr><td style="text-align: center;"> <span style=" text-decoration: overline;">3</span> </td></tr></table>
D. None of these
Answer» 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;"> <span style=" text-decoration: overline;">3</span> </td></tr></table>
Discussion
497.

If cos + cos = 4 , then the value of (0 &lt; &lt; 90 ) is1 - sin 1 + sin

A. 60
B. 45
C. 30
D. 35
Answer» B. 45
Discussion
498.

The value of tan80 tan10 + sin2 70 + sin

A. 0
B. 1
C. 2
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</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></tr><tr><td style="text-align: center;">2</td></tr></table>
Discussion
499.

The angles of elevation of the top of a temple, from the foot and the top of a building 30 m high, are 60 and 30 respectively. Then, the height of the temple is

A. 50 metre
B. 43 metre
C. 40 metre
D. 45 metre
Answer» E.
Discussion
500.

If sin 17 = (x / y) , then sec 17 sin 73 is equal to

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