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  • Question
  • ? ABC is right angled at B. If m?A = 60°, then what is the value of sec C.sin A?


  • Options
  • A. 2/?3
  • B. ?3/2
  • C. 2/3
  • D. 1

  • Correct Answer


  • Tags: Bank Exams

    Simplification problems


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    • 1. What is the value of (1/?2) Cot 45° + (1/?3) Cosec 60°?

    • Options
    • A. (?6 + 1)/?3
    • B. ?3
    • C. (1 + 3?2)/?3
    • D. (3 + 2?2)/3?2
    • Discuss
    • 2. A fraction is greater than its reciprocal by (72)/(77). What is the fraction?

    • Options
    • A. 7/11
    • B. 11/7
    • C. 4/7
    • D. 7/4
    • Discuss
    • 3. If a3+ b3 = 19 and a + b = 1, then what is the value of ab?

    • Options
    • A. 5
    • B. -6
    • C. 7
    • D. -9
    • Discuss
    • 4. If x/3 - [5(7x/5 - 4/3)]/2 = -x/6, then what is the value of x?

    • Options
    • A. 10/9
    • B. -10/9
    • C. -9/10
    • D. 9/10
    • Discuss
    • 5. ? XYZ is right angled at Y. If m?Z = 60°, then what is the value of (1/?2) Sec X?

    • Options
    • A. 2/?3
    • B. 1/?6
    • C. 1/?3
    • D. 2/?6
    • Discuss
    • 6. If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?

    • Options
    • A. 4/15
    • B. -15/4
    • C. -4/15
    • D. 15/4
    • Discuss
    • 7. If a3 + b3 = 35 and ab = 6, then what is the value of a + b?

    • Options
    • A. 5
    • B. 8
    • C. 2
    • D. -8
    • Discuss
    • 8. Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?

    • Options
    • A. 4/5
    • B. 9/4
    • C. 4/9
    • D. 5/4
    • Discuss
    • 9. ax + 5y = 8 has slope of -4/3. What is the value of a?

    • Options
    • A. 20/3
    • B. 3/20
    • C. -20/3
    • D. -3/20
    • Discuss
    • 10. What is the value of Cot 45° - (1/?3)Cosec 60°?

    • Options
    • A. 1/?3
    • B. 1/2
    • C. 1/?2
    • D. 1/3
    • Discuss


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