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Both x and y are in direct proportion, then 1/x and 1/y are: (a) in indirect proportion. (b) in inverse proportion. (c) neither in direct nor in inverse proportion. (d) sometimes in direct and sometimes in inverse proportion.

Answer: (b) in inverse proportion. If both x and y are directly proportional, then 1/x and 1/y are in inverse proportion. If a rise in x causes a... View Article

Which of the following vary inversely with each other? (a) speed and distance covered. (b) distance covered and taxi fare. (c) distance travelled and time taken. (d) speed and time taken.

Answer: (d) speed and time taken. By the formula of speed we know; Speed = distance/time As we can see here when the time decreases, the speed... View Article

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 33 43 (c) r 2 5 10 25 50 s 25 10 5 2 0.5 (d) u 2 4 6 9... View Article

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 33 43 (c) r 2 5 10 25 50 s 25 10 5 2 0.5 (d) u 2 4 6 9... 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 = speed × time Distance = 48 × 10 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 1 litre diesel = 297/54 Distance... 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 age of a person... 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 on it vary directly with each other.... 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 = k (constant) Putting the value of x and y, we get; 10 × 6... 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 = k (constant) Hence, u/v = 10/15 = 2/3 Now if we observe the... 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 + 6-2]-1 = (36/22) An exponent of... 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 6-2. 36 = 6 × 6 = 62 1/36 = 1/62 = 6-2 An exponent of... View Article

Archives

Both x and y are in direct proportion, then 1/x and 1/y are: (a) in indirect proportion. (b) in inverse proportion. (c) neither in direct nor in inverse proportion. (d) sometimes in direct and sometimes in inverse proportion.

Which of the following vary inversely with each other? (a) speed and distance covered. (b) distance covered and taxi fare. (c) distance travelled and time taken. (d) speed and time taken.

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

In which of the following case, do the quantities vary directly with each other?

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

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

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

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.

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

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

Find the value [4^-1 +3^-1 + 6^-2]^-1

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.

The usual form of 2.39461 × 10⁶ is _________. Fill in the blank to make the statement true.

The usual form of 3.41 × 10⁶ is ________. Fill in the blank to make the statement true.

The standard form of 12340000 is ______. Fill in the blank to make the statement true.

The standard form of (1/100000000) is _______. Fill in the blank to make the statement true.

[2^-1 + 3^-1 + 4^-1]⁰ = ______. Fill in the blank to make the statement true.

(2/13)^-6÷(2/13)³]³ × (2/13)^-9 = ___________. Fill in the blank to make the statement true.

By multiplying (10)⁵ by (10)^-10 we get _____. Fill in the blank to make the statement true.

Very large numbers can be expressed in standard form by using __________. Fill in the blank to make the statement true.

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