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Home Aptitude Simplification Comments

  • Question
  • What is the value of Cot 60°- Sec 45° ?


  • Options
  • A. (?2 - ?3)/?6
  • B. (?3 - 3?2)/3
  • C. (1 - 2?2)/2
  • D. (1 - ?3)/2

  • Correct Answer
  • (?3 - 3?2)/3 

  • Tags: Bank Exams

    Simplification problems


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    • 1. If a + b = 10 and ab = 24, then what is the value of a3 + b3 ?

    • Options
    • A. 280
    • B. 152
    • C. 140
    • D. 72
    • Discuss
    • 2. What is the reflection of the point (6, -1) in the line y = 2?

    • Options
    • A. (-2 , -1)
    • B. (-6 , 5)
    • C. (-2 , 1)
    • D. (6 , 5)
    • Discuss
    • 3. If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2)

    • Options
    • A. 2(a2 - b2)
    • B. 2(a2 + b2)
    • C. 4(a2 - b2)
    • D. 4(a2 + b2)
    • Discuss
    • 4. If ? is acute angle and sin(?+18°)= 1/2, then the value of ? in circular measure is

    • Options
    • A. ?/12 radians
    • B. ?/15 radians
    • C. 2?/5 radians
    • D. 3?/13 radians
    • Discuss
    • 5. If x + 1/x = ?13, then 3x(x2-1) equal to

    • Options
    • A. 3?13
    • B. ?13/3
    • C. 1
    • D. 3
    • Discuss
    • 6. If Cot ? = 24/7, then Sin ? = ?

    • Options
    • A. 24/25
    • B. 8/25
    • C. 7/25
    • D. 9/25
    • Discuss
    • 7. If ? is positive acute angle and 4sin2? = 3 , then the value of tan ? - cot ?/2 is

    • Options
    • A. 1
    • B. 0
    • C. ?3
    • D. 1/?3
    • Discuss
    • 8. If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be

    • Options
    • A. 10%
    • B. 8%
    • C. 12%
    • D. 6%
    • Discuss
    • 9. If p = 99, then the value of p(p2+3p+3) will be

    • Options
    • A. 999999
    • B. 1000000
    • C. 1000001
    • D. 999998
    • Discuss
    • 10. If a-b=1 and a3-b3 = 61 , then the value of ab will be

    • Options
    • A. -20
    • B. 20
    • C. 30
    • D. 60
    • Discuss


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