Simplification problems
- 1. In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ?APB is
Options- A. 30°
- B. 45°
- C. 60°
- D. 90° Also asked in: Bank Exams
Correct Answer: 60°
- 2. If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is
Options- A. 6/7
- B. 7/6
- C. 5/6
- D. 6/5 Also asked in: Bank Exams
Correct Answer: 7/6
- 3. If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x is equal to (assume b2 ? a2 )
Options- A. b2-a2+2c2b2+a2
- B. b2+a2-2c2b2-a2
- C. b2-a2-2c2b2+a2
- D. b2-a2b2+a2+2c2 Also asked in: Bank Exams
Correct Answer: b2+a2-2c2b2-a2
- 4. (1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to
Options- A. 0
- B. 1
- C. 2
- D. 3 Also asked in: Bank Exams
Correct Answer: 2
- 5. If tan4? + tan2? = 1 then the value of cos4? + cos2? is
Options- A. 2
- B. 0
- C. 1
- D. -1 Also asked in: Bank Exams
Correct Answer: 1
- 6. The value of 8(sin6? + cos6?) - 12(sin4? + cos4?) is equal to
Options- A. 20
- B. -20
- C. 4
- D. -4 Also asked in: Bank Exams
Correct Answer: -4
- 7. An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking ?3 = 1.732) is
Options- A. 230.63 m/sec
- B. 230.93 m/sec
- C. 235.85 m/sec
- D. 236.25 m/sec Also asked in: Bank Exams
Correct Answer: 230.93 m/sec
- 8. If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is
Options- A. 60(?3+1) m
- B. 30(?3-1) m
- C. 30(?3+1) m
- D. 60(?3-1) m Also asked in: Bank Exams
Correct Answer: 30(?3+1) m
- 9. The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be ? and ? (?>?). The height of the tower is h unit. A possible distance (in the same unit) between the points is
Options- A. h(cot?-cot?)cos(?+?)
- B. h(cot? - cot?)
- C. h(tan? - tan?)tan? tan?
- D. h(cot?+cot?) Also asked in: Bank Exams
Correct Answer: h(cot?+cot?)
- 10. If x2+1x2 = 98, then x3+1x3 = ?
Options- A. 970
- B. 1030
- C. -970
- D. -1030 Also asked in: Bank Exams
Correct Answer: 970
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.