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\ 06-Jan-2025 Surendra Prajapati Proof-7 Reader’s Sign _______________________ Date __________

Chapter assessment

A. Choose the correct option.
1. The variables x and y vary directly. When x = 5, y = 60, what will be the value of x when y = 108?
(a) 120 (b) 45 (c) 30 (d) 9
2. 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.
3. Kritika bought 2 dozen chocolates for `360. What will be the cost of 8 chocolates?
(a) `120 (b) `60 (c) `240 (d) `180
4. A truck needs 54 litres of diesel to cover 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
5. By travelling at a speed of 48 km/h, 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 increased by
(a) 12 km/h (b) 8 km/h (c) 20 km/h (d) 60 km/h
6. Two trains of equal length are running on parallel rail track in the same direction at 46 km/h and
36 km/h. The faster train passes the slower train in 36 seconds. The length of each train is
(a) 25 m (b) 50 m (c) 75 m (d) 100 m
7. 100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for

(a) 30 days (b) 96 days (c) 120 days (d) 40 days
8. Pipe A can fill an empty tank in 10 hours while pipe B can empty the full tank in 12 hours. If both
are opened in the empty tank, how much time will it take to fill it up completely?

(a) 30 h (b) 60 h (c) 80 h (d) 40 h
B. Assertion and Reason Type Questions.
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): If an amount of fodder lasts for 45 days for 124 goats, then for 52 days it will last for
90 goats at the same rate.
Reason (R): The number of goats and the number of days fodder lasts show an inverse relation
between the two quantities.
2. Assertion (A): If 10 men can make a wall in 15 days, then 3 men can make the wall in 45 days.
Reason (R): Two quantities x and y are said to be in ‘direct proportion’ if they increase (or decrease)
together in such a manner that the ratio of their corresponding values remains constant.
3. Assertion (A): If the side of a square is 4.5 cm, then its perimeter is 18 cm and its area is 20.25 sq. cm.
Reason (R): The length of a side of a square and its area vary directly with each other.

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