Simplification problems
- 1. A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?
Options- A. 20?3
- B. 30(?3 + 1)
- C. 40(?3 ? 1)
- D. 50(?3 ? 1) Also asked in: Bank Exams
Correct Answer: 40(?3 ? 1)
- 2. What is the value of sec2? + 1sec2? - 1 x 12cot? - tan? ?
Options- A. 0
- B. 1
- C. cosec ?
- D. sec ? Also asked in: Bank Exams
Correct Answer: 1
- 3. What is the value of the expression a3 - 5 + 2816a , when a = 2?
Options- A. 2
- B. 5
- C. 7
- D. 8 Also asked in: Bank Exams
Correct Answer: 7
- 4. Sumit and Amit undertook a work for Rs 7200. Sumit alone can do the work in 5 days and Amit alone can do the work in 4 days. If they work together,then what will be the difference (in Rs.) in the amount they receive?
Options- A. 800
- B. 1600
- C. 1200
- D. 1400 Also asked in: Bank Exams
Correct Answer: 800
- 5. What is the value of ( 1/3 - cot60°) ?
Options- A. (2-?3)/2?3
- B. (?2-1)/?2
- C. (1-?3)/3
- D. (?3-4)/2?3 Also asked in: Bank Exams
Correct Answer: (1-?3)/3
- 6. ? XYZ is right angled at Y. If tanX = 15/8, then what is the value of sinZ ?
Options- A. 15/17
- B. 17/8
- C. 17/15
- D. 8/17 Also asked in: Bank Exams
Correct Answer: 8/17
- 7. If cot(A/2) = x, then the value of x is
Options- A. ?[(1 + cosA)/(1 - cosA)]
- B. cosecA - cotA
- C. ?[(1 - cosA)/2]
- D. ?[(1 + cosA)/2] Also asked in: Bank Exams
Correct Answer: ?[(1 + cosA)/(1 - cosA)]
- 8. If (1 - cosA)/(1 + cosA) = x, then the value of x is
Options- A. (cotA + cosecA)2
- B. (cotA - cosecA)2
- C. cotA - cosecA
- D. cotA + cosecA Also asked in: Bank Exams
Correct Answer: (cotA - cosecA)2
- 9. Find equation of the perpendicular bisector of segment joining the points (2,6) and (4,0)?
Options- A. x + 3y = 6
- B. x + 3y = -6
- C. x - 3y = -6
- D. x - 3y = 6 Also asked in: Bank Exams
Correct Answer: x + 3y = -6
- 10. Coefficient of x in (x + 8)(6 - 3x) is
Options- A. 18
- B. 30
- C. -18
- D. -30 Also asked in: Bank Exams
Correct Answer: -18
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