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.

301.

From a point P on a level ground, the angle of elevation to the top of the tower is 30 . If the tower is 100 metre high, the distance of point P from the foot of the tower is (Take

A. 149 metre
B. 156 metre
C. 173 metre
D. 188 metre
Answer» D. 188 metre
Discussion
302.

If the angle of elevation of the top of a pillar from the ground level is raised from 30 to 60 , the length of the shadow of a pillar of height 50

A. 60 metre
B. 75 metre
C. 100 metre
D. 50 metre
Answer» D. 50 metre
Discussion
303.

Find the angular elevation of the Sun when the shadow of a 15 metre long pole is (15 /

A. 45
B. 60
C. 30
D. 90
Answer» C. 30
Discussion
304.

Ifcos = n andcos = m , then the vlaue of cos issin cos

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m </center></td><td rowspan="2"></td></tr><td align="center">m + n </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">m + n </td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>n </center></td><td rowspan="2"></td></tr><td align="center">m + n </td></table>
D.
E. 0
Answer» D.
Discussion
305.

The value of tan1 tan2 tan3 ........tan89 is

A. 1
B. - 1
C. 0
D. None of the options
Answer» B. - 1
Discussion
306.

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is a and that of the top of the flag staff is . Then the height of the tower is

A. h tan
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h tan </center></td><td rowspan="2"></td></tr><td align="center">tan - tan </td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h tan </center></td><td rowspan="2"></td></tr><td align="center">tan - tan </td></table>
D. None of these
Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>h tan </center></td><td rowspan="2"></td></tr><td align="center">tan - tan </td></table>
Discussion
307.

The value of the following is : 3(sin

A. 0
B. 3
C. 2
D. 5
Answer» E.
Discussion
308.

If 1 + cos = 3 sin cos , then the integral value of

A. 1
B. 2
C. 0
D. 3
Answer» B. 2
Discussion
309.

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

A. 2
B. <table><tr><td rowspan="2">1</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>
C. <table><tr><td rowspan="2">1</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">2</td></table>
D. 1
Answer» E.
Discussion
310.

If 0 < < 90 and cosec = cot , then the value of the expression cosec

A. 2
B. 0
C. 1
D. 3
Answer» C. 1
Discussion
311.

If tan A = n tan B and sin A = m sin B, then the value of cos A is

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m - 1</center></td><td rowspan="2"></td></tr><td align="center">n + 1</td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m + 1</center></td><td rowspan="2"></td></tr><td align="center">n - 1</td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m + 1</center></td><td rowspan="2"></td></tr><td align="center">n + 1</td></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>m - 1</center></td><td rowspan="2"></td></tr><td align="center">n - 1</td></table>
Answer» E.
Discussion
312.

If cos x + cos x = 1, then sin

A. 0
B. 3
C. 2
D. 1
Answer» E.
Discussion
313.

The value of the following is

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">2</td></table>
E.
Answer» C. 1
Discussion
314.

Ifx - tan 30 = sin 30 + 4 cot 45 sec 60 , then the value of x is : 1 + tan 30

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">4</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">5</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. <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» 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>
Discussion
315.

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

A. <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>
B. <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">= cot</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. <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>
D. <table><tr><td rowspan="2">sin</td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">A + B</td> <td rowspan="2">= cos</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» C. <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>
Discussion
316.

The ratio of the length of a rod and its shadow is 1 :

A. 90
B. 30
C. 45
D. 60
Answer» C. 45
Discussion
317.

TF is a tower with F on the ground. The angle of elevation of T from A is x such that tan x = (2 / 5) and AF = 200m. The angle of elevation of T from a nearer point B is y with BF = 80m. The value of y is

A. 60
B. 30
C. 75
D. 45
Answer» E.
Discussion
318.

If x = a (sin + cos ) and y = b (sin cos ), then the value of

A. 4
B. 3
C. 1
D. 2
Answer» E.
Discussion
319.

Find numerical value of

A. 5
B. 7
C. 9
D. 4
Answer» D. 4
Discussion
320.

If cos + sin = m and sec + cosec = n then the value of n (m 1) is equal to :

A. 2m
B. mn
C. 4mn
D. 2n
Answer» B. mn
Discussion
321.

If cos =pthen the value of tan is : p + q

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>q</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">p - q </span></td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>q</center></td><td rowspan="2"></td></tr><td align="center">p</td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>q</center></td><td rowspan="2"></td></tr><td align="center">p + q </td></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>q</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">p + q </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>q</center></td><td rowspan="2"></td></tr><td align="center">p + q </td></table>
Discussion
322.

If + = 90 , then the expression (tan / tan ) + sin + sin is equal to :

A. sec
B. tan
C. tan
D. sec
Answer» E.
Discussion
323.

If sin 2 - 3then the value of sin3 is equal to (Take 0 90 ) 2

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. 1
C. 0
D. <table><tr><td rowspan="2">5</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>
E.
Answer» C. 0
Discussion
324.

The value of the following is :

A. 1
B. 4
C. 3
D. 2
Answer» D. 2
Discussion
325.

If x = a sin b cos , y = a cos + b sin , then which of the following is true?

A. <table><tr><td rowspan="2"></td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td><td rowspan="2">+<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a </center></td><td rowspan="2">= 1</td></tr><td align="center">y </td><td align="center">b </td></table>
B. x + y = a b
C. <table><tr><td rowspan="2"></td><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>x </center></td><td rowspan="2">+<br></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>y </center></td><td rowspan="2">= 1</td></tr><td align="center">a </td><td align="center">b </td></table>
D. x + y = a + b
Answer» E.
Discussion
326.

The value of cot 41 . cot 42 . cot 43 . cot 44 . cot 45 . cot 46 . cot 47 . cot 48 . cot 49

A. 1
B. 0
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. <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. 0
Discussion
327.

In ABC, C = 90 and AB = c, BC = a, CA = b; then the value of (cosec B cos A) is

A. <table><tr><td rowspan="2"></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">ab</td></table>
B.
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>b </center></td><td rowspan="2"></td></tr><td align="center">ca</td></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a </center></td><td rowspan="2"></td></tr><td align="center">bc</td></table>
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>bc</center></td><td rowspan="2"></td></tr><td align="center">a </td></table>
Answer» D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a </center></td><td rowspan="2"></td></tr><td align="center">bc</td></table>
Discussion
328.

If sin A cos A = (

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. <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>
C.
D. <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">4</td></table>
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. <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">4</td></table>
Discussion
329.

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

A. 1
B. 6
C. 2
D. 4
Answer» B. 6
Discussion
330.

If 7sin + 3cos = 4, then the value of tan is ( is acute)

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>1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">2</span></td></table>
C.
D. <span style=" text-decoration: overline;">3</span>
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
331.

If tan A + cot A = 2, then the value of tan

A. 4
B. 5
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">10</td></table>
D. 1
Answer» 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">10</td></table>
Discussion
332.

If be acute angle and tan (4 50 ) = cot(50 ), then the value of in degrees is :

A. 20
B. 50
C. 40
D. 30
Answer» E.
Discussion
333.

If sec + tan = p, (p 0) then sec is equal to

A. <table><tr><td rowspan="2"></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td rowspan="2"></td><td rowspan="2">p -</td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">1</td><td rowspan="2"></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">, p 0</td></tr><tr><td style="text-align: center;">p</td></tr></table>
B. <table><tr><td rowspan="2">2</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td rowspan="2"></td><td rowspan="2">p -</td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">1</td><td rowspan="2"></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">, p 0</td></tr><tr><td style="text-align: center;">p</td></tr></table>
C. <table><tr><td rowspan="2"></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td rowspan="2"></td><td rowspan="2">p +</td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">1</td><td rowspan="2"></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">, p 0</td></tr><tr><td style="text-align: center;">p</td></tr></table>
D. <table><tr><td rowspan="2">(1 / 2)</td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/aptitude/1-sym-oparen-h1.gif"></td><td rowspan="2"></td><td rowspan="2">p +</td> <td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;">1</td><td rowspan="2"></td><td rowspan="2"><img src="https://www.indiabix.com/_files/images/data-interpretation/common/15-sym-cparen-h1.gif"></td><td rowspan="2">, p 0</td></tr><tr><td style="text-align: center;">p</td></tr></table>
Answer» E.
Discussion
334.

If is an acute angle and tan + (1 / tan ) = 2, then the value of is :

A. 60
B. 45
C. 15
D. 30
Answer» C. 15
Discussion
335.

If 0 A 90 , the simplified form of the given expression sin A cos A (tan A cot A) is

A. 1
B. 1 2 sin A
C. 2 sin A 1
D. 1 cos A
Answer» D. 1 cos A
Discussion
336.

If tan + cot = 5, then tan + cot is

A. 23
B. 25
C. 26
D. 24
Answer» B. 25
Discussion
337.

If sin + sin = 1 then cos + cos

A. None
B. 1
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>sin </center></td><td rowspan="2"></td></tr><td align="center">cos </td></table>
D.
E. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>cos </center></td><td rowspan="2"></td></tr><td align="center">sin </td></table>
Answer» C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>sin </center></td><td rowspan="2"></td></tr><td align="center">cos </td></table>
Discussion
338.

The minimum value of 2sin + 3cos is

A. 3
B. 4
C. 2
D. 1
Answer» D. 1
Discussion
339.

The value of sin 22 + sin 68 + cot 30 is

A. 4
B. 3
C. <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">4</td></table>
D. <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">4</td></table>
E.
Answer» B. 3
Discussion
340.

If x cos sin = 1, then x + (1 +x ) sinq equals

A. 2
B. 1
C. - 1
D. 0
Answer» C. - 1
Discussion
341.

If sin ( + 18 ) = cos 60 (0 < < 90 ), then the value of cos 5 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. 0
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"> <span style=" text-decoration: overline;">2</span></td></table>
D.
E. 1
Answer» B. 0
Discussion
342.

The value ofsin 25 cos 65 + cos 25 sin 65 tan 70 - cosec 20

A. - 1
B. 0
C. 1
D. 2
Answer» B. 0
Discussion
343.

Find the value of tan 4 tan 43 tan 47 tan 86

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. 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">3</td></table>
D.
E. 2
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">3</td></table>
Discussion
344.

If sin(A + B) = sin A cos B + cos A sin B, then the value of sin75 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> + 1</center></td><td rowspan="2"></td></tr><td align="center"> <span style=" text-decoration: overline;">2</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> + 1</center></td><td rowspan="2"></td></tr><td align="center">2 <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> + 1</center></td><td rowspan="2"></td></tr><td align="center">2 <span style=" text-decoration: overline;">2</span></td></table>
D.
E. <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> + 1</center></td><td rowspan="2"></td></tr><td align="center">2</td></table>
Answer» D.
Discussion
345.

Let A, B, C, D be the angles of a quadrilateral. If they are concyclic, then the value of cos A + cos B + cos C + cos D is

A. 0
B. 1
C. - 1
D. 2
Answer» B. 1
Discussion
346.

If cos = a, sin = b, then sin is equal tocos sin

A. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a - 1</center></td><td rowspan="2"></td></tr><td align="center">a + b </td></table>
B. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a + 1</center></td><td rowspan="2"></td></tr><td align="center">a - b </td></table>
C. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a - 1</center></td><td rowspan="2"></td></tr><td align="center">a - b </td></table>
D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a + 1</center></td><td rowspan="2"></td></tr><td align="center">a + b </td></table>
Answer» D. <table><tr><td rowspan="2"></td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>a + 1</center></td><td rowspan="2"></td></tr><td align="center">a + b </td></table>
Discussion
347.

If tan (A + B) =

A. 90
B. 30
C. 45
D. 60
Answer» D. 60
Discussion
348.

The angle of elevation of a ladder leaning against a wall is 60 and the foot of the ladder is 4.6 metre away from the wall. The length of the ladder is

A. 2.3 metre
B. 4.6 metre
C. 9.2 metre
D. 7.8 metre
Answer» D. 7.8 metre
Discussion
349.

If 0 < A < 90 , then the value of tan A + cot A sec A cosec A is

A. 0
B. 1
C. 2
D. 2
Answer» E.
Discussion
350.

The maximum value of sin

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">3</td></table>
B.
C. 1
D. 2
E. 3
Answer» C. 1
Discussion