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?

1

(a)

15 and 20

(b)

2 and 3

(c)

25 and 37.5

(d)

16 and 24

If two quantities p and q vary inversely with each other, then

1

(a)

\(\frac{p}{q}\)

(b)

p + q remains constant

(c)

p x q remains constant

(d)

p - q remains constant

18 workers can do a work in 180 days. If two more workers join this work, the work will be completed in

1

(a)

140 days

(b)

150 days

(c)

158 days

(d)

162 days

Both x and y are in direct proportion,then \(\frac{1}{x}\)and \(\frac{1}{y}\)are

1

(a)

in direct proportion

(b)

in inverse proportion

(c)

neither in direct nor in inverse proportion

(d)

sometimes in direct and sometimes in inverse proportion

If the weight of 9 sheets of thick paper is 30 g, how many sheets of the same paper would weigh \(1\frac{1}{4}kg?\)

1

(a)

375

(b)

250

(c)

925

(d)

300

Let x varies directly as y², for y = 3, x = 2. If y = 5 then x is____________

1

(a)

\(x=5\frac{5}{9}\)

x and y are said to vary directly with each other, if for some positive number k,...................=k

1

(a)

\(\frac{x}{y}=k\)

If xy = 10, then x and y vary__________ with each other.

1

(a)

inversely

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

1

(a)

directly

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

1

(a)

ab,constant

The population of a country and the area of land per person are in direct proportion

1

(a) True

(b) False

If 5 persons can finish a job in 10 days, then 1 person will finish it in 2 days.

1

(a) True

(b) False

If x varies inversely as y and when x = 6, y = 8, then for x = 8 the value of y is 10.

1

(a) True

(b) False

If d varies directly as t², then we can write dt² = k, where k is some constant.

1

(a) True

(b) False

When the speed is kept fixed, time and distance vary directly with each other.

1

(a) False

(b) True

If Subhash bought 17 registers for Rs.340, then find the cost of 5 such registers

2

(a)

The AC two tier railway fare for 580 km of journey is Rs.3200. What would be the fare for a journey of 738 km?

2

(a)

If the area of a circle, whose radius is 5 cm is increased to four times, then find the changed radius?

2

(a)

If 45 students can consume a stock of food in 2 months, then find how many days the same stock of food will last for 27 students?

2

(a)

If x and y are in inverse proportion, check whether (x + 1)and (y + 1) are also in inverse proportion

2

(a)

A mixture of paint is prepared by mixing 1 part of red pigment with 8 parts of base. In the following table, find the parts of base that need to be added.

Parts of red pigment	1	4	7	12	20
Parts of base	8	...	...	...	...

if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 mL of base?

 

3

(a)

Seema types 582 words during half an hour. How many words would she type in 10 min?

3

(a)

A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?

3

(a)

In a camp, there is enough flour for 300 persons for 42 days. How long will the flour last, if 20 more persons join the camp?

3

(a)

If a deposit of Rs 3000 earns an interest of Rs.600 in 3 years, then how much interest would a deposit of Rs. 36000 earn in 3 yr with the same rate of simple interest?

3

(a)

A loaded truck travels 14 km in 25 min. If the speed remains the same, how far can it travel in 5h?

5

(a)

A girl 1.2 m tall casts a shadow 1.1 m at that height. When a building casts a shadow 6.6 m long. Determine the height of the building?

5

(a)