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Simplification problems


  • 1. If A = (1/0.4) + (1/0.04) + (1/0.004) + ... upto 8 terms, then what is the value of A?

  • Options
  • A. 27272727.5
  • B. 25252525.5
  • C. 27777777.5
  • D. 25555555.5
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  • 2. If M = 0.1 + (0.1)2 + (0.01)2 and N = 0.3 + (0.03)2 + (0.003)2 , then what is the value of M + N?

  • Options
  • A. 0.411009
  • B. 0.413131
  • C. 0.313131
  • D. 0.131313
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  • 3. Which of the following statements is/are true? I. 1112+1734-515-2110 = 43920II. 91078>111127>121219III. 149151>153155>157159

  • Options
  • A. Only I
  • B. Only II
  • C. Only III
  • D. None is true.
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  • 4. If M = (3/7) ÷ (6/5) × (2/3) + (1/5) × (3/2) and N = (2/5) × (5/6) ÷ (1/3) + (3/5) × (2/3) ÷ (3/5), then what is the value of M/N?

  • Options
  • A. 207/560
  • B. 339/1120
  • C. 113/350
  • D. 69/175
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  • 5. M is the largest 4 digit number, which when divided by 4, 5, 6 and 7 leaves remainder as 2, 3, 4, and 5 respectively. What will be the remainder when M is divided by 9?

  • Options
  • A. 2
  • B. 1
  • C. 3
  • D. 6
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  • 6. Which of the following statement(s) is/are TRUE? I. 12>163>244II. 253>324>486III. 94>153>246

  • Options
  • A. Only I and II
  • B. Only I and III
  • C. Only I
  • D. All are true.
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  • 7. If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x ? y)2 + (y ? z)2 + (z ? x)2 ?

  • Options
  • A. 793
  • B. 681
  • C. 758
  • D. 715
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  • 8. If (x + y)/z = 2, then what is the value of [y/(y ? z)] + [x/(x ? z)]?

  • Options
  • A. 0
  • B. 1
  • C. 2
  • D. ? 1
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  • 9. If ? and ? are the roots of equation x2 ? 2x + 4 = 0, then what is the equation whose roots are ?3/?2 and ?3/?2?

  • Options
  • A. x2 ? 4 x + 8 = 0
  • B. x2 ? 32 x + 4 = 0
  • C. x2 ? 2 x + 4 = 0
  • D. x2 ? 16 x + 4 = 0
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  • 10. If one root of the equation Ax2 +Bx + C = 0 is two and a half times the others, then which of the following is TRUE?

  • Options
  • A. 7B2 = 3 CA
  • B. 7B2 = 4 CA
  • C. 7B2 = 36 CA
  • D. 10B2 = 49 CA
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