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If y be any non-zero integer, then y⁰ is equal to: (a) 1 (b) 0 (c) – 1 (c) Not defined

Answer: (a) 1 By the law of exponent a0 = 1 ∴ y0 = 1 An exponent of a number represents the number of times the number is multiplied by... View Article

If x be any non-zero integer and m, n be negative integers, then x^m × xⁿ is equal to: (a) x^m (b) x^m+n (c) xⁿ (d) x^m-n

Answer: (b) xm+n Using law of exponents, am × an= (a)m+n Where a is non-zero integer Similarly xm × xn = (x)m+n An exponent of a... View Article

The multiplicative inverse of (-5/9)^-99 is: (a) (-5/9)⁹⁹ (b) (5/9)⁹⁹ (c) (9/-5)⁹⁹ (d) (9/5)⁹⁹

Answer: (a) (-5/9)99 The multiplicative inverse a × b = 1 Here b is the multiplicative inverse of a. Let x be the multiplicative inverse... View Article

The value of (-2/3)⁴ is equal to: (a) 16/81 (b) 81/16 (c) -16/81 (d) 81/ −16

Answer: (a) 16/81 (-2/3)4 = (-2/3)(-2/3)(-2/3)(-2/3) = 16/81 An exponent of a number represents the number of times the number is multiplied... View Article

The value of (–2)^2×3-1 is (a) 32 (b) 64 (c) – 32 (d) – 64

Answer: (c) – 32 (–2)2×3-1 =(-2)6-1 =(-2)5 =-32 An exponent of a number represents the number of times the number is... View Article

The multiplicative inverse of 10^-100 is (a) 10 (b) 100 (c) 10¹⁰⁰ (d) 10^-100

Answer: (c) 10100 By the law of exponent, we know a-n = 1/an. So, 10-100 = 1/10100 The multiplicative inverse for any integer a is 1/a, such... View Article

The reciprocal of (2/5)^-1 is: (a) 2/5 (b) 5/2 (c) –5/2 (d) –2/5

Answer: (b) 5/2 By the law of exponent, we know a-n = 1/an. Hence, (2/5)-1 = 1/(2/5) = 5/2 An exponent of a number represents the number of... View Article

The value of (2/5)^-2 is: (a) 4/5 (b) 4/25 (c) 25/4 (d) 5/2

Answer: (c) 25/4 By the law of exponent we know: a-n = 1/an. Hence (2/5)-2 = 1/(2/5)2 = 1/(4/25) = 25/4 An exponent of a number represents the... View Article

The value of 3⁵ ÷ 3^-6 is: (a) 3⁵ (b) 3^-6 (c) 3¹¹ (d) 3^-11

Answer: (c) 311 By the law of exponents, we know, am/an= am-n Hence, 35 ÷ 3-6 = 35-(-6) = 35 + 6 = 311 An exponent of a number... View Article

The value of 1/(4)^-2 is: (a) 16 (b) 8 (c) 1/16 (d) 1/8

Answer: (a) 16 1/(4)-2 = 1/(1/42) = 42 = 16 An exponent of a number represents the number of times the number is multiplied by itself. The... View Article

3^-2 can be written as: (a) 3² (b) 1/3² (c) 1/3^-2 (d) -2/3

Answer: (b) 1/32 By the law of exponent, we know a-n = 1/an. Hence, 3-2= 1/32 An exponent of a number represents the number of times the number... View Article

For a fixed base, if the exponent decreases by 1, the number becomes: (a) One-tenth of the previous number. (b) Ten times of the previous number. (c) Hundredth of the previous number. (d) Hundred times of the previous number.

Answer: (a) One-tenth of the previous number If the exponent is decreased by one, the number becomes one-tenth of the previous number for the... View Article

In 2ⁿ, n is known as: (a) Base (b) Constant (c) exponent (d) Variable

Answer: (c) Exponent 2 is the rational number which is the base here and n is the power of 2. Hence, it is an exponent. An exponent of a number... View Article

C.P. = M.P. – Discount. State whether the statement is true (T) or false (F).

Answer: False The relation between marked price and discount is given by Selling price (S.P) = Marked price(M.P) – Discount Discount Rate... View Article

Compound interest is the interest calculated on the previous year’s amount. State whether the statement is true (T) or false (F).

Answer: True The stated statement is true. Compound interest means that the interest on the previous year is liable to more interest. Compound... View Article

Discount is a reduction given on cost price of an article. State whether the statement is true (T) or false (F).

Answer: Discount is a reduction given on cost price of an article. - False Discount Rate is the price of the total quantity/amount usually less... View Article

Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax. State whether the statement is true (T) or false (F).

Answer: Additional expenses made after buying an article are included in the cost price and are known as Value Added Tax. - False The selling... View Article

To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of amount in compound interest can be used. State whether the statement is true (T) or false (F).

Answer: True Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. The compound... View Article

5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is ____

Answer: 5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is Rs.199.50. Cost price:... View Article

Four times a number is a ____ increase in the number.

Answer: Four times a number is a 300% increase in the number. When comparing the increase in quantity over a period of time, we first find the... View Article

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