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All questions of Surds & Indices for Bank Exams Exam

(256)0.16 x (256)0.09 = ?
  • a)
    4
  • b)
    16
  • c)
    64
  • d)
    256.25
Correct answer is option 'A'. Can you explain this answer?

Kavya Saxena answered
(256)0.16 x (256)0.09 = (256)(0.16 + 0.09)
   = (256)0.25
   = (256)(25/100)
   = (256)(1/4)
   = (44)(1/4)
   = 44(1/4)
   = 41
   = 4
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(17)3.5 x (17)? = 178
  • a)
    2.29
  • b)
    2.75
  • c)
    4.25
  • d)
    4.5
Correct answer is option 'D'. Can you explain this answer?

Let (17)^3.5 x (17)^x = 178.
Then, (17)^(3.5 + x) = 178.
∴ 3.5 + x = 8
⇒ x = (8 - 3.5)
⇒ x = 4.5

If 5a = 3125, then the value of 5(a – 3) is:
  • a)
    25
  • b)
    125
  • c)
    625
  • d)
    1625
Correct answer is option 'A'. Can you explain this answer?

Aadil Nawaz answered
3125 is equal to 5's power five so a value is equal to 5 ....then a-3 so 5-3 =2 and 5 's power 2 is equal to 25

If 3(x – y) = 27 and 3(x + y) = 243, then x is equal to:
  • a)
    0
  • b)
    2
  • c)
    4
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?

Faizan Khan answered
3x – y = 27 = 33    ⇔    x – y = 3 ….(i)
3x + y = 243 = 35    ⇔    x + y = 5 ….(ii)
On solving (i) and (ii), we get x = 4.

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