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If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is _______.

Answer: If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is 8. If x varies inversely as y, then x × y = k 4... View Article

If the thickness of a pile of 12 cardboard sheets is 45 mm, then the thickness of a pile of 240 sheets is _______ cm.

Answer: If the thickness of a pile of 12 cardboard sheets is 45 mm, then the thickness of a pile of 240 sheets is 90cm. Thickness of pile of 12... View Article

An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is __________.

Answer: An auto-rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same... View Article

A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is _________.

Answer: A car is travelling 48 km in one hour. The distance travelled by car in 12 minutes is 9.6km. Distance travelled by car in one hour = 48km... View Article

The perimeter of a circle and its diameter vary _______ with each other.

Answer: The perimeter of a circle and its diameter vary directly with each other. Circumference of the circle or perimeter of the circle is the... View Article

If two quantities p and q vary inversely with each other then ______ of their corresponding values remains constant

Answer: If two quantities p and q vary inversely with each other then product of their corresponding values remains constant. The value is... View Article

If two quantities x and y vary directly with each other, then ______ of their corresponding values remains constant.

Answer: If two quantities x and y vary directly with each other, then ratio of their corresponding values remains constant. Two quantities a and... View Article

If on increasing a, b decreases in such a manner that ab remains _______ and positive, then a and b are said to vary inversely with each other.

Answer: If on increasing a, b decreases in such a manner that ab remains constant and positive, then a and b are said to vary inversely with... View Article

On increasing a, b increases in such a manner that a/b remains ______ and positive, then a and b are said to vary directly with each other

Answer: On increasing a, b increases in such a manner that a/b remains constant and positive, then a and b are said to vary directly with each... View Article

When the speed remains constant, the distance travelled is _____ proportional to the time.

Answer: When the speed remains constant, the distance travelled is directly proportional to the time. By the second equation of motion, s = ut +... View Article

If x varies directly as y, then

Answer: X 12 6 Y 48 — If x and y varies directly, then; x/y = k If x=12 y = 48 Then k = 12/48 =1/4 Now, if x = 6 k = 1/4 Then... View Article

If x varies inversely as y, then

Answer: X — 60 Y 2 10 If x varies inversely as y, then x × y = k If x = 60 y = 10 Then x × y = 60 × 10 = 600 =... View Article

If 12 pumps can empty a reservoir in 20 hours, then time required by 45 such pumps to empty the same reservoir is ______ hours.

Answer: If 12 pumps can empty a reservoir in 20 hours, then the time required by 45 such pumps to empty the same reservoir is 5 hours 20 min... View Article

Fill in the blanks: If x = 5y, then x and y vary ____________with each other.

Answer: If x = 5y, then x and y vary directly with each other. x = 5y Then x/y =5/1 = k(constant) This demonstrates that x and y are directly... View Article

Both x and y vary directly with each other and when x is 10, y is 14, which of the following is not a possible pair of corresponding values of x and y? (a) 25 and 35 (b) 35 and 25 (c) 35 and 49 (d) 15 and 21

Answer: (b) 35 and 25 x and y are directly proportional. x ∝ y If x = 10 and y = 14, then; 10 ∝ 14 or 5 ∝ 7 Now, if we compare,... View Article

If the distance travelled by a rickshaw in one hour is 10 km, then the distance travelled by the same rickshaw with the same speed in one minute is: (a) 250/9 m (b) 500/9 m (c) 1000 m (d) 500/3 m

Answer: (d) 500/3 m Distance travelled = 10km Time taken = 1 hr Distance travelled defines how much path an object has covered to reach its... View Article

If two quantities p and q vary inversely with each other, then: (a) p/q remains constant. (b) p + q remains constant. (c) p × q remains constant. (d) p – q remains constant.

Answer: (c) p × q remains constant. When two quantities p and q change in opposite directions, p×q remains constant. Because a rise... View Article

If two quantities x and y vary directly with each other, then (a) x/y remains constant. (b) x – y remains constant. (c) x + y remains constant. (d) x × y remains constant.

Answer: (a) xy remains constant If two quantities x and y vary directly with each other, then xy = k (constant) Because both x and y increase or... View Article

100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for (a) 30 days (b) 96/5 days (c) 120 days (d) 40 days

Answer: (a) 30 days 100 persons have food provision for = 24 days 1 person will have food provision for = 24 × 100 = 2400 If 20 persons... View Article

Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be (a) 20/3 km/h (b) 16 km/h (c) 20 km/h (d) 15 km/h

Answer: (c) 20 km/h Speed = 12km/h Time taken = 20 minutes Time taken = 20/60 hr = 1/3 hr Distance travelled defines how much path an object... View Article

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