Sample Material SSC CGL TIER-2 Online Coaching

Numerical Aptitude (Chapter - Indices and Surds Indices)

In the expression xⁿ, n is called the exponent or index and x is called the base and xⁿ is read as ‘x to the power of n’ or ‘x raised to the power n’.

eg, 1. 3⁶ = 3 × 3 × 3 × 3 × 3 × 3 = 729

4³ = 4 × 4 × 4 = 64

The expression (X^m)ⁿ  is read as ‘x raised to the power m whole raised to the power n’.

2. (2⁴)³  = (16)³ = 2¹²

Laws of Indices

Surds

Laws of Radicals

:: Home Assignment for Practice ::

1. A decimal number has 16 decimal places. The number of decimal places in the square root of this number will be:

(a) 7
(b) 4
(c) 8
(d) 16

2.

(1) 10.1489(Approx.)
(2)10.109(Approx.)
(3)9.967(Approx)

The correct sequence of these values matching with the above number is:

(a) 3, 2, 1
(b) 1, 3, 2
(c) 2, 3, 1
(d) 3, 1, 2

3. If a four-digited perfect square number is such that the number formed by the first two digits and the number formed by the last two digits are also perfect squares, then the four digited number is:

(a) 5625
(b) 3616
(c) 1681
(d) 1024

4.

(a) 20/3
(b)7/2
(c)6
(d)3

5.

(a) infinite number
(b) natural number
(c) a negative integer
(d) an irrational number

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