Simplification problems
- 1. The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is (use ?=227)
Options- A. 301.71 cm3
- B. 310.71 cm3
- C. 301.17 cm3
- D. 310.17 cm3 Also asked in: Bank Exams
Correct Answer: 301.71 cm3
- 2. If a2+b2+c2=14 and a+b+c=6 , then the value of ab+bc+ca is,
Options- A. 11
- B. 12
- C. 13
- D. 14 Also asked in: Bank Exams
Correct Answer: 11
- 3. If ab+ba=1, then the value of a3+b3 is
Options- A. 1
- B. 0
- C. -1
- D. 2 Also asked in: Bank Exams
Correct Answer: 0
- 4. A, B and C are three points on a circle with centre O. The tangent at C meets BA produced at T. If ?ATC = 30° and ?ACT = 48°,then what is the value of ?AOB ?
Options- A. 78°
- B. 96°
- C. 102°
- D. 108° Also asked in: Bank Exams
Correct Answer: 108°
- 5. If 3sin?+4cos?=5 (0
Options- A. 1/5
- B. 2/5
- C. 3/5
- D. 4/5 Also asked in: Bank Exams
Correct Answer: 3/5
- 6. If 11-13xx + 11-13yy + 11-13zz = 5 then what is the value of 1x + 1y + 1z = ?
Options- A. 1
- B. 13/11
- C. 13/5
- D. 4 Also asked in: Bank Exams
Correct Answer: 4
- 7. If 2x + (9/x) = 9, then what is the minimum value of x2+1x2 = ?
Options- A. 95/36
- B. 97/36
- C. 87/25
- D. 623/27 Also asked in: Bank Exams
Correct Answer: 97/36
- 8. If (5x ? y)/(5x + y) = 3/7, then what is the value of (4x2 + y2 ? 4xy)/(9x2 + 16y2 + 24xy) ?
Options- A. 0
- B. 3/7
- C. 18/49
- D. 1/6 Also asked in: Bank Exams
Correct Answer: 0
- 9. If (x + y)2 = xy + 1 and x3 ? y3 = 1 , then what is the value of x ? y?
Options- A. 1
- B. 0
- C. -1
- D. 2 Also asked in: Bank Exams
Correct Answer: 1
- 10. If sin ? + sin 5? = sin 3? and 0 < ? < (?/2), then what is the value of ? (in degrees)?
Options- A. 30
- B. 45
- C. 60
- D. 75 Also asked in: Bank Exams
Correct Answer: 30
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