Simplification problems
- 1. If x = 4aba+b , then what is the value of x+2ax-2a+x+2bx-2b ?
Options- A. 0
- B. 2
- C. 4
- D. 1 Also asked in: Bank Exams
Correct Answer: 2
- 2. In a triangle PQR, ?Q = 90°. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circum circle of the triangle?
Options- A. 5
- B. 6
- C. 6.5
- D. 6?2 Also asked in: Bank Exams
Correct Answer: 6.5
- 3. P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?
Options- A. 1.5
- B. 2
- C. 2.5
- D. 3 Also asked in: Bank Exams
Correct Answer: 2.5
- 4. If tan ? + cot ? = x, then what is the value of tan4? + cot4? ?
Options- A. (x3 ? 3)2 + 2
- B. (x4 ? 2x) + 4
- C. x2 (x2 ? 4) + 2
- D. x Also asked in: Bank Exams
Correct Answer: x2 (x2 ? 4) + 2
- 5. If tan2? + cot2? = 2 , then what is the value of 2sec ? cosec ? ?
Options- A. 0
- B. 1
- C. 2
- D. 4 Also asked in: Bank Exams
Correct Answer: 4
- 6. The value of (0.3)2/100= ?
Options- A. 0.09
- B. 0.0009
- C. 0.009
- D. 0.9 Also asked in: Bank Exams
Correct Answer: 0.0009
- 7. If x/y = 4/9, then what is the value of (7x2 ? 19xy + 11y2)/y2 ?
Options- A. 59/81
- B. 100/27
- C. 319/81
- D. 913/81 Also asked in: Bank Exams
Correct Answer: 319/81
- 8. If x ? 3 + [1/(x ? 3)] = 4, what is the value of [(x ? 3)3+ [1/(x ? 3)3] ?
Options- A. 14
- B. 18
- C. 52
- D. 76 Also asked in: Bank Exams
Correct Answer: 52
- 9. If x2+ y2+ z2= xy + yz + zx , then what is the value of (7x + 3y ? 5z)/5x?
Options- A. 0
- B. 1
- C. 5
- D. 33/5 Also asked in: Bank Exams
Correct Answer: 1
- 10. If sum of the areas of the circumcircle and the incircle of an equilateral triangle is 770 cm2, then what is the area (in cm2) of the triangle?
Options- A. 125?3
- B. 147?3
- C. 156?3
- D. 169?3 Also asked in: Bank Exams
Correct Answer: 147?3
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