Simplification problems
- 1. The value of the expression 2(sin6?+cos6?) - 3(sin4?+cos4?) + 1 is
Options- A. -1
- B. 0
- C. 1
- D. 2 Also asked in: Bank Exams
Correct Answer: 0
- 2. If cos? = x2-y2x2+y2 , then the value of cot? is
Options- A. 2xyx2-y2
- B. 2xyx2+y2
- C. x2+y22xy
- D. x2-y22xy Also asked in: Bank Exams
Correct Answer: x2-y22xy
- 3. If x = cosec? - sin? and y = sec? - cos?, then the relation between x and y is
Options- A. x2+ y2+ 3 =1
- B. x2y2 (x2+ y2+3)=1
- C. x2 (x2+ y2 - 5)=1
- D. y2 (x2+ y2 - 5)=1 Also asked in: Bank Exams
Correct Answer: x2y2 (x2+ y2+3)=1
- 4. A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to
Options- A. 7 km/hr
- B. 11 km/ hr
- C. 26 km/hr.
- D. 33 km/hr Also asked in: Bank Exams
Correct Answer: 33 km/hr
- 5. Which of the following statement(s) is/are TRUE? I. ?(64) + ?(0.0064) + ?(0.81) + ?(0.0081) = 9.07 II. ?(0.010201) + ?(98.01) + ?(0.25) = 11.51
Options- A. Only I
- B. Only II
- C. Both I and II
- D. Neither I nor II Also asked in: Bank Exams
Correct Answer: Only I
- 6. Which of the following statement(s) is/are TRUE? I . 11×3+13×5+15×7+...+111×13 = 1213 II. 11×2+12×3+13×4+...+112×13 = 1213
Options- A. Only I
- B. Only II
- C. Both I and II
- D. Neither I nor II Also asked in: Bank Exams
Correct Answer: Only II
- 7. Which of the following statement(s) is/are TRUE? I. 3/71 < 5/91 < 7/99 II. 11/135 > 12/157 > 13/181
Options- A. Only I
- B. Only II
- C. Both I and II
- D. Neither I nor II Also asked in: Bank Exams
Correct Answer: Both I and II
- 8. If 1 + (1/2) + (1/3) + ... + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + ... + (1/40)?
Options- A. k/2
- B. 2k
- C. (k ? 1)/2
- D. (k + 1)/2 Also asked in: Bank Exams
Correct Answer: (k ? 1)/2
- 9. If x + y = 10 and xy = 4, then what is the value of x4 + y4 ?
Options- A. 8464
- B. 8432
- C. 7478
- D. 6218 Also asked in: Bank Exams
Correct Answer: 8432
- 10. Which of the following statement(s) is/are TRUE? I. ?5 + ?5 > ?7 + ?3 II. ?6 + ?7 > ?8 + ?5 III. ?3 + ?9 > ?6 + ?6
Options- A. Only I
- B. Only I and II
- C. Only II and III
- D. Only I and III Also asked in: Bank Exams
Correct Answer: Only I and II
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