Which quantities in the question vary inversely with each other? (a) x and y (b) p and q (c) r and s (d) u and v
(a) x 0.5 2 8 32 y 2 8 32 128 (b) p 12 22 32 42 q 13 23... View Article
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In which of the following case, do the quantities vary directly with each other?
(a) x 0.5 2 8 32 y 2 8 32 128 (b) p 12 22 32 42 q 13 23... View Article
By travelling at a speed of 48 kilometres per hour, a car can finish a certain journey in 10 hours. To cover the same distance in 8 hours, the speed of the car should be (a) 60 km/h (b) 80 km/h (c) 30 km/h (d) 40 km/h
Answer: (a) 60 km/h Speed of car = 48 km/hr Time taken = 10 hr As we know, Distance =... View Article
A truck needs 54 litres of diesel for covering a distance of 297 km. The diesel required by the truck to cover a distance of 550 km is (a) 100 litres (b) 50 litres (c) 25.16 litres (d) 25 litres
Answer: (a) 100 litres Distance covered by truck using 54 litres diesel = 297 km Distance covered by truck using... View Article
The number of teeth and the age of a person vary (a) directly with each other. (b) inversely with each other. (c) neither directly nor inversely with each other. (d) sometimes directly and sometimes inversely with each other
Answer: (d) sometimes directly and sometimes inversely with each other We cannot anticipate the number of teeth with the exact... View Article
Assuming land to be uniformly fertile, the area of land and the yield on it vary (a) directly with each other. (b) inversely with each other. (c) neither directly nor inversely with each other. (d) sometimes directly and sometimes inversely with each other.
Answer: (a) directly with each other. If land to be uniformly fertile, then the area of land and the yield... View Article
Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y? (a) 12 and 5 (b) 15 and 4 (c) 25 and 2.4 (d) 45 and 1.3
Answer: (d) 45 and 1.3 Given x = 10 y = 6 since x and y vary inversely, so xy... View Article
Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v? (a) 2 and 3 (b) 8 and 12 (c) 15 and 20 (d) 25 and 37.5
Answer: (c) 15 and 20 Given u = 10 v = 15 u and v vary directly, hence, u/v =... View Article
Find the value [4-1 +3-1 + 6-2]-1
Answer: [4-1 +3-1 + 6-2]-1 = (1/4+1/3+1/62)-1 = (1/4 + 1/3 + 1/36)-1 = [(9+12+1)/36]-1 = (22/36)-1 [4-1 +3-1 +... View Article
If 36 = 6 × 6 = 62, then 1/36 expressed as a power with the base 6 is _________. Fill in the blank to make the statement true.
Answer: If 36 = 6 × 6 = 62, then 1/36 expressed as a power with the base 6 is... View Article
The usual form of 2.39461 × 106 is _________. Fill in the blank to make the statement true.
Answer: The usual form of 2.39461 × 106 is 2394610. Any number can be expressed as decimal numbers between 1... View Article
The usual form of 3.41 × 106 is ________. Fill in the blank to make the statement true.
Answer: The usual form of 3.41 × 106 is 3410000. Any number can be expressed as decimal numbers between 1... View Article
The standard form of 12340000 is ______. Fill in the blank to make the statement true.
Answer: The standard form of 12340000 is 1.234 × 107 Any number can be expressed as decimal numbers between 1... View Article
The standard form of (1/100000000) is _______. Fill in the blank to make the statement true.
Answer: The standard form of (1/100000000) is 1.0 × 10-8 Any number can be expressed as decimal numbers between 1... View Article
[2-1 + 3-1 + 4-1]0 = ______. Fill in the blank to make the statement true.
Answer: [2-1 + 3-1 + 4-1]0 = 1 Using law of exponent, a0=1 Exponent An exponent of a number represents... View Article
(2/13)-6÷(2/13)3]3 × (2/13)-9 = ___________. Fill in the blank to make the statement true.
Answer: [(2/13)-6÷(2/13)3]3 × (2/13)-9 = (2/13)-36 [(2/13)-6÷(2/13)3]3 × (2/13)-9 By using law of exponent am/an = am-n = [(2/13)-6-3]3 ×... View Article
By multiplying (10)5 by (10)-10 we get _____. Fill in the blank to make the statement true.
Answer: By multiplying (10)5 by (10)-10 we get 10-5 (10)5 × (10)-10 By law of exponent am × an =... View Article
Very large numbers can be expressed in standard form by using __________. Fill in the blank to make the statement true.
Answer: Very large numbers can be expressed in standard form by using positive exponents. Example: 234000000 234000000 = 234 ×... View Article
Very small numbers can be expressed in standard form by using ___________. Fill in the blank to make the statement true.
Answer: Very small numbers can be expressed in standard form by using negative exponents. Example: 0.000064 = 64/100000 0.000064 =... View Article
The expression for 8-2 as a power with the base 2 is _________. Fill in the blank to make the statement true.
Answer: The expression for 8-2 as a power with the base 2 is (2)-6. 8-2 = (2 × 2 ×... View Article
