MCQOPTIONS
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MCQOPTIONS
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.
| 151. |
∠Y is the right angle of the trianlge XYZ. If XY = 2 6 cm and XZ YZ = 2cm, then the value of (secX + tanX) is : |
| A. | 2 |
| B. | |
| Answer» E. | |
| 152. |
If sec2 + tan2 = 3 , then the value of (sec4 - tan4 ) is |
| A. | 1 |
| B. | |
| C. | 0 |
| Answer» D. | |
| 153. |
If sin + cosec = 2, the value of sin100 + cosec100 is : |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» C. 3 | |
| 154. |
If tan + cot = 5, then the value of tan2 + cot2 is |
| A. | 22 |
| B. | 25 |
| C. | 23 |
| D. | 27 |
| Answer» D. 27 | |
| 155. |
If 7sin2 + 3cos2 = 4 then the value of sec + cosec is |
| A. | None of these |
| Answer» C. | |
| 156. |
If 2y cos = x sin and 2x sec ycosec = 3, then the value of (x2 + 4y2) is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 4 |
| Answer» E. | |
| 157. |
If x sin3 + y cos3 = sin cos and x sin y cos = 0, then the value of (x2 + y2) equals |
| A. | 1 |
| B. | 2 |
| Answer» B. 2 | |
| 158. |
If x2 = sin230 + 4 cot245 sec260 , then the value of x (x > 0) is |
| A. | 1 |
| B. | 0 |
| Answer» E. | |
| 159. |
If sin cos = 1 .The value of sin cos is where 0 < < 90 2 |
| A. | 0 |
| B. | |
| C. | |
| D. | 2 |
| E. | 1 |
| Answer» B. | |
| 160. |
If cos 20 = m and cos 70 = n, then the value of m2 + n2 is |
| A. | 1 |
| Answer» B. | |
| 161. |
If 5 sin = 3, the numerical value of sec - tan issec + tan |
| A. | |
| B. | |
| Answer» E. | |
| 162. |
The value of the following is : 3(sin4 + cos4 ) + 2(sin6 + cos6 ) + 12sin2 cos2 |
| A. | 0 |
| B. | 3 |
| C. | 2 |
| D. | 5 |
| Answer» E. | |
| 163. |
If sec + tan = 2 + 5 , then the value of sin is (0 90 ) |
| A. | |
| B. | |
| Answer» C. | |
| 164. |
If sec + tan = 251then the value of sin issec - tan 79 |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» C. | |
| 165. |
If tan A + cot A = 2, then the value of tan10A + cot10A is |
| A. | 4 |
| B. | 5 |
| C. | 1 |
| Answer» C. 1 | |
| 166. |
The value of cos 30 + sin 60 + tan 45 + sec 60 + cos0 is |
| A. | |
| B. | |
| C. | |
| D. | |
| Answer» E. | |
| 167. |
If cos x + cos x = 1, then sin8x + 2 sin6x + sin4x is equal to |
| A. | 0 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» E. | |
| 168. |
If tan cot = 0 and is positive acute angle, then the value of tan( + 15 )istan( - 15 ) |
| A. | 3 |
| B. | |
| C. | |
| D. | |
| Answer» B. | |
| 169. |
If sec tan =1, the value of sec . tan is 3 |
| A. | |
| B. | |
| Answer» B. | |
| 170. |
If 5 cos + 12 sin = 13, 0 < < 90 , then the value of sin q is |
| A. | |
| B. | |
| Answer» E. | |
| 171. |
If sin A + sin A = 1, then the value of cos A + cos4A is |
| A. | 2 |
| B. | 1 |
| Answer» E. | |
| 172. |
The value of the following is : (tan 20 ) +(cot 20 ) + 2tan 15 . tan 45 . tan 75 (cosec 70 ) (sec 70 ) |
| A. | 1 |
| B. | 4 |
| C. | 3 |
| D. | 2 |
| Answer» D. 2 | |
| 173. |
If 0 < < 90 and cosec = cot , then the value of the expression cosec4 2cosec4 + cot is equal to: |
| A. | 2 |
| B. | 0 |
| C. | 1 |
| D. | 3 |
| Answer» C. 1 | |
| 174. |
If 4sin 1 = 0 and angle is less than 90 , the value of cos + tan is : (Take 0 < < 90 ) |
| A. | |
| B. | |
| Answer» C. | |
| 175. |
Find numerical value of 9+ 4 cos +5cosec 1 + tan |
| A. | 5 |
| B. | 7 |
| C. | 9 |
| D. | 4 |
| Answer» D. 4 | |
| 176. |
If tan + sec = 3, being acute, the value of 5 sin is : |
| A. | |
| B. | |
| C. | 4 |
| Answer» E. | |
| 177. |
If sin P + cosec P = 2, then the value of sin7P + cosec7P is |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| D. | 0 |
| Answer» C. 3 | |
| 178. |
If sin A = 3 and cos B = 12, what is the value of tanA - tanB5131 + tanA tanB; it being given that A and B are acute angles? |
| A. | |
| Answer» E. | |
| 179. |
If sin + sin + sin = 1, then, cos6 4 cos4 + 8 cos = ? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 0 |
| Answer» D. 0 | |
| 180. |
The value of the expression sin 1 + sin 11 + sin 21 + sin 31 + sin 41 + sin 45 + sin 49 + sin 59 + sin 69 + sin 79 + sin 89 is : |
| A. | 0 |
| B. | |
| C. | 5 |
| D. | |
| Answer» C. 5 | |
| 181. |
2 (sin6 + cos6 ) 3 (sin4 + cos4 ) + 1 = ? |
| A. | 1 |
| B. | 0 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 182. |
If x = a (sin + cos ) and y = b (sin cos ), then the value of x +y is :a b |
| A. | 4 |
| B. | 3 |
| C. | 1 |
| D. | 2 |
| Answer» E. | |
| 183. |
If tan + cot = 2, then the value of (tann + cotn ) is : |
| A. | 2 |
| B. | |
| C. | 2 |
| D. | 2 |
| E. | 2 |
| Answer» E. 2 | |
| 184. |
If sin A + sin A =1 then what is the value of cos A + cos4A ? |
| A. | 1 |
| B. | 2 |
| C. | 3 |
| Answer» C. 3 | |
| 185. |
If sin + cosec = 2, the value of sinnq + cosecn is : |
| A. | 2 |
| B. | 2 |
| C. | 2 |
| D. | 0 |
| Answer» D. 0 | |
| 186. |
If r sin = 7/2 and r cos = 7 3/2 then the value of is : |
| A. | 30 |
| B. | 45 |
| C. | 60 |
| D. | 75 |
| Answer» B. 45 | |
| 187. |
If + = 90 and : = 2 : 1, then the ratio of cos to cos is : |
| A. | 1 : |
| B. | 1 : 3 |
| C. | 1 : |
| D. | 1 : 2 |
| Answer» B. 1 : 3 | |
| 188. |
If tan = 4/3, then the value of3sin + 2cos is :3sin - 2cos |
| A. | 3 |
| B. | 3 |
| Answer» D. | |
| 189. |
The value of cot 10 . cot 20 . cot 60 . cot 70 . cot 80 is : |
| A. | 1 |
| B. | 1 |
| C. | |
| D. | |
| Answer» E. | |
| 190. |
If sinq+ cosec = 2, then the value of (sin-7 + cosec7 ) is |
| A. | 2 |
| B. | 2 |
| C. | |
| D. | 2 |
| E. | 2 |
| Answer» D. 2 | |
| 191. |
If cosA + cos A = 1, then the value of (sin A + sin4A) is : |
| A. | 1 |
| Answer» E. | |
| 192. |
The value of sin 221 will be2 |
| A. | |
| B. | 1 |
| Answer» E. | |
| 193. |
The angle of elevation of an aeroplane from a point A on the ground is 60 . After a straight flight of the plane for 30 seconds, the angle of elevation becomes 30 . If the palne flies at a constant height of 3600 3 metre, what is the speed of plane? |
| A. | 864 kmph |
| B. | 846 kmph |
| C. | 684 kmph |
| D. | None of these |
| Answer» B. 846 kmph | |
| 194. |
The angular elevation of the top of a tower from a distant point on the horizontal ground is observed to be 30 and proceeding 30 metres from the point towards the foot of the tower it is observed to be 45 . Find the height of the tower. |
| A. | 15 metre |
| B. | 15 |
| C. | 15 ( |
| D. | + 1) metre |
| E. | None of these |
| Answer» D. + 1) metre | |
| 195. |
If 0 < < 90 , and tan ( 3 + 1) tan + 3 = 0, then = ? |
| A. | 30 |
| B. | 45 |
| C. | |
| D. | 60 |
| E. | 45 or 60 |
| Answer» E. 45 or 60 | |
| 196. |
Ifsin + cos = 3 then the value of sin4 q is :sin - cos |
| A. | |
| B. | |
| C. | None of these |
| Answer» F. | |
| 197. |
Value of the expression :1 + 2sin 60 cos60 +1 - 2sin 60 cos60 issin 60 + cos60 sin 60 - cos60 |
| A. | 2 |
| B. | 0 |
| C. | |
| D. | 2 |
| Answer» D. 2 | |
| 198. |
If sin A cos A = ( 3 - 1 / 2) , then the value of sin A . cos A is |
| A. | |
| Answer» D. | |
| 199. |
The ratio of the length of a rod and its shadow is 1 : 3 . The angle of elevation of the sun is : |
| A. | 90 |
| B. | 30 |
| C. | 45 |
| D. | 60 |
| Answer» C. 45 | |
| 200. |
The angles of elevation of top and bottom of a flag kept on a flagpost from 30 metres distance, are 45 and 30 respectively. Height of the flat is [taking 3 = 1.732] |
| A. | 12 |
| B. | metre |
| C. | 15 metre |
| D. | 14.32 metre |
| E. | 12.68 metre |
| Answer» E. 12.68 metre | |