[[(-3)2 ]] 3 is equal to
(a) (-3)8 (b) (-3)6 (c) (-3)5 (d) (-3)23
For a non-zero rational number x, x 8 ÷ x2 is equal to
(a) x4 (b) x6 (c) x10 (d) x16
x is a non-zero rational number. Product of the square of x with the cube of x is equal to the
(a) second power of x (b) third power of x
(c) fifth power of x (d) sixth power of x
For any two non-zero rational numbers x and y, x5 ÷ y5 is equal to
(a) (x÷y)1 (b) (x÷y)0 (c) (x÷y)5 (d) (x÷y)10
am × an is equal to
(a) (a2 ) mn (b) am–n (c) am+n (d) amn
(10 + 20 + 30 ) is equal to
(a) 0 (b) 1 (c) 3 (d) 6
Value of (1022 + 1020)/1020 is
(a) 10 (b) 1042 (c) 101 (d) 1022
The standard form of the number 12345 is
(a) 1234.5 × 101
(b) 123.45 × 102
(c) 12.345 × 103
(d) 1.2345 × 104
If 21998 – 2 1997 – 2 1996 + 21995 = K2 1995, then the value of K is
(a) 1 (b) 2 (c) 3 (d) 4
Which of the following is equal to 1?
(a) 20 + 30 + 40
(b) 20 × 30 × 40
(c) (30 – 2 0 ) × 40
(d) (30 – 2 0 ) × (30 +20 )
(10 + 10)10 = 1010 + 1010
In standard form, the number 72105.4 is written as 7.21054 × 10n where n is equal to
(a) 2 (b) 3 (c) 4 (d) 5
Square of (-2/3) is
(a) -2/3 (b) 2/3 (c) -4/9 (d) 4/9
cube of (-1/4) is
(a) -1/12 (b) 1/16 (c) -1/64 (d) 1/64
Which of the following is not equal to (-5/4)4 ?
(a) (-5)4 /44
(b) 54 /(-4)4
(c) –(54 /44 )
(d) (-5/4) × (-5/4) × (-5/4) × (-5/4)
Which of the following is not equal to 1 ?
(a) (23 × 33 )/(4 × 18) (b) [[(-2)3 × (-2)4 ] ]÷ (-2)2
(c) (30 × 53 )/(5 × 25) (d) 24 /(70 + 30 ) 3
(2/3)3 × (5/7)3 is equal to
(a) ((2/3) × (5/7)) 9
(b) ((2/3) × (5/7))6
(c) ((2/3) × (5/7))3
(d) ((2/3) × (5/7))0
In standard form, the number 829030000 is written as K × 108 where K is equal to
(a) 82903 (b) 829.03 (c) 82.903 (d) 8.2903
Which of the following has the largest value?
(a) 0.0001 (b) 1/10000 (c) 1/106 (d) (1/106 ) ÷ 0.1
In standard form 72 crore is written as
(a) 72 × 107
(b) 72 × 108
(c) 7.2 × 108
(d) 7.2 × 107
For non-zero numbers a and b, (a/b)m ÷ (a/b)n , where m>n, is equal to
(a) (a/b)mn
(b) (a/b)m + n
(c) (a/b)m – n
(d) ((a/b)m) n
Which of the following is not true?
(a) 32 > 23 (b) 43 = 26 (c) 33 = 9 (d) 25 > 5
Which power of 8 is equal to 26 ?
(a) 3 (b) 2 (c) 1 (d) 4
(-2)31 × (-2)13 = (-2) ________.
(-3)8 ÷ (-3)5 = (-3) ________.
(11/15)4 × ( ________) 5 = (11/15)9
(-1/4)3 × (-1/4) = (-1/4)11
[[(7/11)3 ]] 4 = (7/11) ________.
(6/13)10 ÷ [(6/13)5 ] 2 = (6/13) ________.
[[(-1/4)16]] 2 = (-1/4) ________.
(13/14) 5 ÷ ( ________ ) 2 = (13/14) 3
a6 × a5 × a0 = a ________.
1 lakh = 10 ________.
1 million = 10 ________.
729 = 3 ________.
432 = 24 × 3 ________.
53700000 = ––– × 107
88880000000 = ––– × 1010
27500000 = 2.75 × 10––––
340900000 = 3.409 × 10––––
Fill in the blanks with <, > or = sign.
(a) 32 ______15
(b) 23 ______ 32
(c) 74 ______54
(d) 10,000 ______ 105
(e) 63 _____44
One million = 107
One hour = 602 seconds
10 × 01 = 1
(-3)4 = – 12
34 > 43
(-3/5)100 = (-3 100/-5 100)
x0 × x0 = x0 ÷ x 0 is true for all non-zero values of x.
In the standard form, a large number can be expressed as a decimal number between 0 and 1, multiplied by a power of 10.
42 is greater than 24 .
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