Which of the following is not equal to 1 ? (a) (23 × 33)/(4 × 18) (b) [(-2)3 × (-2)4] ÷ (-2)7 (c) (30 × 53)/(5 × 25) (d) 24/(70 + 30)3
Answer: (d) 24/(70 + 30)3 Consider the option (a) (23 × 33)/(4 × 18) = (2 × 2 × 2... View Article
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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)
Answer: (c) –(54/44) (-5/4)4 = (-5)4/44 (-5/4)4 = 54/(-4)4 (-5/4)4 = (-5/4) × (-5/4) × (-5/4) × (-5/4) (-5/4)4≠ –(54/44)... View Article
cube of (-1/4) is (a) -1/12 (b) 1/16 (c) -1/64 (d) 1/64
Answer: (c) -1/64 Cube of (-1/4) is = -13/43 = (-1 × -1 × -1)/(4 × 4 × 4) =... View Article
Square of (-2/3) is (a) -2/3 (b) 2/3 (c) -4/9 (d) 4/9
Answer: (d) 4/9 Square of (-2/3) is = -22/32 = (-2 × -2)/(3 × 3) = 4/9 Exponent An exponent... View Article
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
Answer: (c) 4 Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by... View Article
Which of the following is equal to 1? (a) 20 + 30 + 40 (b) 20 × 30 × 40 (c) (30 – 20) × 40 (d) (30 – 20) × (30 + 20)
Answer: (b) 20 × 30 × 40 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,... View Article
If 21998 – 21997 – 21996 + 21995 = K21995, then the value of K is (a) 1 (b) 2 (c) 3 (d) 4
Answer: (c) 3 21998 – 21997 – 21996 + 21995 = K21995 By cross multiplication we get, (21998/21995) – (21997/21995)... View Article
The standard form of the number 12345 is (a) 1234.5 × 101 (b) 123.45 × 102 (c) 12.345 × 103 (d) 1.2345 × 104
Answer: (d) 1.2345 × 104 Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0)... View Article
Value of (1022 + 1020)/1020 is (a) 10 (b) 1042 (c) 101 (d) 1022
Answer: (c) 101 By splitting, (1022 + 1020)/1020 we get, (1022 + 1020)/1020 = (1022/1020) + (1020/1020) By using the... View Article
(10 + 20 + 30) is equal to (a) 0 (b) 1 (c) 3 (d) 6
Answer: (c) 3 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, a0 = 1 So,... View Article
am × an is equal to (a) (a2)mn (b) am–n (c) am+n (d) amn
Answer: (c) am+n am × an is equal to am + n Exponent An exponent of a number represents the... View Article
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
Answer: (c) (x÷y)5 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, am ÷ bm =... View Article
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
Answer: (c) fifth power of x From the question, it is given that, The square of x = x2 The... View Article
For a non-zero rational number x, x8 ÷ x2 is equal to (a) x4 (b) x6 (c) x10 (d) x16
Answer: (b) x6 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, am ÷ an =... View Article
[(-3)2]3 is equal to (a) (-3)8 (b) (-3)6 (c) (-3)5 (d) (-3)23
Answer: (b) (-3)6 For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n, (am)n = amn [(-3)2]3... View Article
State whether the statement given in question isTrue or False: Sum of two rational numbers is always a rational number.
Answer: The sum of two rational numbers is always a rational number. – True Rational numbers A rational number, in... View Article
State whether the statement given in question isTrue or False: . If p/q is a rational number and m is a non-zero integer, then (p/q) = (p × m)/(q × m) is a rational number not equivalent to p/q.
Answer: If p/q is a rational number and m is a non-zero integer, then (p/q) = (p × m)/(q ×... View Article
State whether the statement given in question isTrue or False: In a rational number, denominator always has to be a non-zero integer.
Answer: In a rational number, the denominator always has to be a non-zero integer – True A number that can... View Article
State whether the statement given in question isTrue or False: If p/q is a rational number and m is a non-zero common divisor of p and q, then p/q = (p ÷ m)/(q ÷ m)
Answer: If p/q is a rational number and m is a non-zero common divisor of p and q, then p/q... View Article
State whether the statement given in question isTrue or False: If p/q is a rational number and m is a non-zero integer, then (p/q) = (p × m)/(q × m)
Answer: If p/q is a rational number and m is a non-zero integer, then (p/q) = (p × m)/(q ×... View Article
