Q 1 – A horse eats 18 kg of com in 12 days ? How much does he eat in 9 days ?
(a) 11.5 kg
(b) 12.5 kg
(c) 13.5 kg
(d) 14.5 kg
Q 2 – A recipe for 6 people requires 4 cups of flour. If the recipe is adjusted for 15 people, the amount of flour required will be in:
(a) Direct proportion with factor 2.5
(b) Direct proportion with factor 3
(c) Inverse proportion with factor 2.5
(d) Inverse proportion with factor 3
Q 3 – A boy runs 1 km in 10 minutes. How long will he take to ran 600 m ?
(a) 2 minutes
(b) 3 minutes
(c) 4 minutes
(d) 6 minutes
Q 4 – A car travels at a speed of 60 km/h and takes 6 hours to cover a certain distance. If the speed is increased by 20 km/h, how much less time will it take to cover the same distance?
(a) 1 hour 12 min
(b) 1 hour 30 min
(c) 1 hour 48 min
(d) 2 hours
Q 5 – If 8 pumps can empty a tank in 12 days, how many days will 6 pumps take to empty the same tank?
(a) 14 days
(b) 15 days
(c) 16 days
(d) 12 days
Q 6 – A bus covers a fixed distance at a certain speed. If the speed is reduced by 10 km/h, it takes 36 minutes longer to cover the same distance. If the original speed was 40 km/h, the distance is:
(a) 36 km
(b) 48 km
(c) 60 km
(d) 72 km
For each question below, choose the correct option:
A. Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A.
B. Both Assertion (A) and Reason (R) are true, but R is not the correct explanation of A.
C. Assertion (A) is true, but Reason (R) is false.
D. Assertion (A) is false, but Reason (R) is true.
Q 7 – Assertion (A): The number of workers and the time taken to finish a fixed amount of
work are in inverse proportion.
Reason (R): If workers are doubled, the time taken becomes half, provided efficiency is constant.
Q 8 – Assertion (A): If 5 machines produce 100 toys in an hour, 10 machines will produce200 toys in an hour.
Reason (R): The number of machines and the number of toys produced in the same time are in direct proportion.
Q 9 – Rama can do a piece of work in 25 days and Anjali can finish it in 20 days. They work together for 5 days and then Anjali leaves. In how many days will Rama finish the remaining work?
Q 10 – A train is moving at a uniform speed of 100 km/h. How far will it travel in 20 minutes?
Q 11 – If 3 kg of sugar contains 9 × 108 crystals. How many sugar crystals are there in 4 kg of sugar?
Q 12 – The scale of a map is given as 1 : 50,000. Two villages are 5 cm apart on the map.Find the actual distance between them.
Q 13 – A train travels 112 km in 1 hour 30 minutes with a certain speed. How manykilometres it will travel in 4 hours 45 minutes with the same speed?
Q 14 – 8 pipes are required to fill a tank in 1 hr 20 min. How long will it take if only 6 pipesof the same type are used?
Q 15 – The volume of a gas V varies inversely as the pressure P for a given mass of the gas. Fill in the blank spaces in the following table:
Q 16 – The cost of 5 metres of cloth is ₹ 210. Tabulate the cost of 2, 4, 10 and 13 metres of cloth of the same type.
Q 17 – Jagmeet has a road map with a scale of 1 cm = 20 km. He drives on a road for 72 km. What would be his distance covered in the map?
Q 18 – The cost of 5 metres of cloth is ₹ 210. Tabulate the cost of 2, 4, 10 and 13 metres of cloth of the same type.
Q 19 – Mohit deposited a sum of ₹ 12000 in a Bank at a certain rate of interest for 2 years and earns an interest of ₹ 900. How much interest would be earned for a deposit of ₹ 15000 for the same period and at the same rate of interest?
Q 20 – A garrison of 120 men has provisions for 30 days. At the end of 5 days, 5 more men joined them. How many days can they sustain on the remaining provision?
Q 21 – A certain number of men can build a wall in 15 days. If there were 6 more men, the work could be completed in 3 days less. Find the original number of men.
Q 22 – A train increases its speed by 5 km/h and covers the same distance in 48 minutes less. If the original speed was 40 km/h, find the distance covered by the train.
Q 23 – If 15 men can complete a work in 28 days, in how many days will 21 men complete the same work? If the efficiency of each man is reduced by 10%, how many days will they now take?
Q 24 – In a hostel, the food stock is enough for 80 boys for 40 days. After 10 days, 40 more boys join. How many days will the remaining food last?
Q 25 – A certain number of men can build a wall in 15 days. If there were 6 more men, the work could be completed in 3 days less. Find the original number of men.