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Home Aptitude Simplification Comments

  • Question
  • Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?


  • Options
  • A. 415
  • B. 465
  • C. 440
  • D. Cannot be determined

  • Correct Answer
  • 465 

  • Tags: Bank Exams

    Simplification problems


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    • 1. If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

    • Options
    • A. 4
    • B. 2
    • C. 3
    • D. 5
    • Discuss
    • 2. If ? and ? are the roots of equation x2 ? x + 1 = 0, then which equation will have roots ?3 and ?3?

    • Options
    • A. x2 + 2x + 1 = 0
    • B. x2 ? 2x ? 1 = 0
    • C. x2 + 3x ? 1 = 0
    • D. x2 ? 3x + 1 = 0
    • Discuss
    • 3. If x1x2x3 = 4(4 + x1 + x2 + x3 ), then what is the value of [1/(2 + x1 )] + [1/(2 + x2 )] + [1/(2 + x3 )]?

    • Options
    • A. 1
    • B. 1/2
    • C. 2
    • D. 1/3
    • Discuss
    • 4. If x3 + y3 + z3 = 3(1 + xyz), P = y + z ? x, Q = z + x ? y and R = x + y ? z, then what is the value of P3 + Q3 + R3 ? 3PQR?

    • Options
    • A. 9
    • B. 8
    • C. 12
    • D. 6
    • Discuss
    • 5. If (a + b)/c = 6/5 and (b + c)/a = 9/2, then what is the value of (a + c)/b?

    • Options
    • A. 9/5
    • B. 11/7
    • C. 7/11
    • D. 7/4
    • Discuss
    • 6. ABC is a right angled triangle. ?BAC = 90 deg and ?ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

    • Options
    • A. 1 : 2
    • B. 1 : ?3
    • C. 2 : ?3
    • D. 2 : 3
    • Discuss
    • 7. What is the value of [(sin x + sin y) (sin x ? sin y)]/[(cosx + cosy) (cosy ? cosx)]?

    • Options
    • A. 0
    • B. 1
    • C. ? 1
    • D. 2
    • Discuss
    • 8. What is the value of [(tan 5? + tan 3?)/4 cos 4? (tan 5? ? tan 3?)]?

    • Options
    • A. sin 2?
    • B. cos 2?
    • C. tan 4?
    • D. cot 2?
    • Discuss
    • 9. What is the value of (4/3) cot2 (p/6) + 3 cos2 (150) ? 4 cosec2 45 + 8 sin (p/2)?

    • Options
    • A. 25/4
    • B. 1
    • C. ? 7/2
    • D. 13/2
    • Discuss
    • 10. What is the value of sin (B ? C) cos (A ? D) + sin (A ? B) cos (C ? D) + sin (C ? A) cos (B ? D)?

    • Options
    • A. 3/2
    • B. ? 3
    • C. 1
    • D. 0
    • Discuss


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