# Quantitative aptitude SURDS & INDICES for Bank PO / Clerk Preparation ## Quantitative aptitude for Bank PO / Clerk Preparation – SURDS & INDICES

Baking Online Classes : Surds & Indices is one of the important chapters from which you can expect questions in banking as well as SSC level exams. The concept of surds & indices is very easy but you have to practice as much as questions you can so that you can solve the problems in the exams easily.

Laws of Indices:

• am x an = am + n
• am / an = am-n
• (am)n = amn
• (ab)n = anbn
• (a/b)n = an / bn
• a0 = 1

Surds:

Let a be a rational number and n be a positive integer such that a(1/n) = , then

• = a(1/n)
• =
• /b =
• ()n= a

Ques: 1 (15)3.5x (15)?= 158

Sol: Let (15)3.5x (15)x= 158.

Then, (15)3.5 + x= 158.

So, 3.5 + x = 8

x= (8 – 3.5)

x= 4.5

Ques: 2If 5a= 3125, then the value of 5(a – 3) is:

Sol: As 5a= 3125 → 5a= 55

So, a = 5.

5(a – 3) = 5(5 – 3) = 52 = 25.

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Ques: 3 (256)0.16 x (256)0.09 =?

Sol: (256)0.16 x (256)0.09 = (256)(0.16 + 0.09)

= (256)0.25

= (256)(25/100)

= (256)(1/4)= (44)(1/4)

= 41= 4

Ques: 4 The value of [(5)150÷ (5)146]

Sol: (5)150÷ (5)146= 5(150-146)

= 54

= 625

Ques 5: If 3(x y) = 27 and 3(x + y) = 243, then y is equal to:

Sol: 3x y = 27 = 33

So, x y = 3 ….(i)

Also, 3x + y = 243 = 35

So, x + y = 5…. (ii)

On solving (i) and (ii),

we get x = 4.

So, y= 1

Ques: 6 If (a/b)x – 1=(b/ a)x – 3, then the value of x is:

Sol: Given (a/b)x – 1=(b/ a)x – 3

Then, (a/b)x – 1=(a/ b)–(x – 3)

So, x – 1 = 3 – x

2x = 4

x = 2.

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