Answer:

•   Weight of a water tank = 50 kg

Weight of 1 sack of wheat = 100 kg Weight of 5 sacks of wheat = 5 × 100 kg = 500 kg Weight of 1 table = 10 kg Weight of 3 tables = 3 × 10 kg = 30 kg Weight of an almirah = 70 kg Weight of 1 chair = 5 kg Weight of 4 chairs = 4 × 5 kg = 20 kg Weight of 1 mattress = 20 kg Weight of 2 mattresses = 2 × 20 kg = 40 kg Weight of 1 sack of rice = 35 kg Weight of 3 sacks of rice = 3 × 35  kg =105 kg Weight of a bamboo ladder =10 kg Weight of pots and pans = 10 kg Total weight loaded on the cart = 50 kg + 500 kg + 10 kg + 30 kg + 70 kg + 20 kg + 40 kg + 105 kg + 10 kg + 10 kg = 845 kg

• Weight of a water tank = 50 kg

Weight of an almirah = 70 kg Weight of 3 tables = 30 kg Total weight = 50 + 70 + 30 kg = 150 kg 3 tables, an almirah and a water tank are removed. ∴ Total weight loaded on the cart = 845 kg − 150 kg = 695 kg Working: 845-150695Thus, the tables, an almirah and a water tank should be removed so that weight of the load is not more than 700 kg.

Disclaimer: The answer may vary from student to student. The answer provided here is for reference only.

Answer:

Disclaimer: The answer may vary from student to student based on his/her observation. It is highly recommended that students prepare the answer on their own.

Answer:

The pan with the geometry box will go down because the geometry box is heavier than the pencil.

Answer:

Disclaimer: The purpose of this section is to make the students observe their surroundings. The answer may vary from student to student based on his/her experience. It is highly recommended that the students prepare the answer on their own.

Answer:

Answer:

• Yes, the weight of the left pan of figure 4 in which the weights measure 55 g, 245 g and 700 g is 1 kg.

Sum of the weights = 55 + 245 + 700 g = 1000 g We know 1000 g = 1 kg

So, the weight of the left pan of figure 4 is 1 kilogram.

• We know

1 kg = 1000 g

Thus, there are 1000 grams in 1 kilogram.

Answer:

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Answer:

Answer:

(a)

Abdu will put the firewood in one of the pans of the balance and the 6 kg stone in the other. The pan with the stone will go down. Abdu will then put the 2 kg stone on the firewood and both the pans will become balanced. Thus, Abdu will use 2 kg and 6 kg stones to weigh 4 kg of firewood.

(b)

Abdu will put the firewood in one of the pans of the balance and the 5 kg stone in the other. The pan with the stone will go down. Abdu will then put the 2 kg stone on the firewood and both the pans will become balanced. Thus, Abdu will use 2 kg and 5 kg stones to weigh 3 kg of firewood.

(c)

Abdu will put the firewood in one of the pans of the balance and the 5 kg stone in the other. The pan with the firewood will go down. Abdu will then put the 2 kg stone in the pan with the 5 kg stone. Now, both the pans will become balanced. Thus, Abdu will use 2 kg and  5 kg stones to weigh 7 kg of firewood.

Answer:

• Yes, I have been to post office several times.
• People go to a post office to send letters, telegrams and money orders. People also purchase envelopes, post cards, inland letters and stamps from there.
• The cost of a post card is Re 1.
• The cost of an inland letter is Rs 2.50.

Disclaimer: The purpose of this section is to make the students observe their surroundings. It is highly recommended that the students prepare the answer on their own. The answer provided here is for reference only.

Answer:

1. Weight of a letter = 50 g Cost of a letter weighing 20 g or less = Rs 5 If the weight of a letter is more than 20 g, then the cost for every additional 20 g is Rs 2. Now, weight of letter = 50 g = 20 g + 20 g + 10 g Total cost paid for the stamps = Rs 5 + Rs 2 + Rs 2 = Rs 9

2. Cost of a parcel weighing 50 g or less = Rs 5 If the weight of a parcel is more than 50 g, then the cost for every additional 50 g is Rs 3. Weight of the parcel containing a book = 200 g = 50 g + 50 g + 50 g + 50 g Total cost to be paid by Akash = Rs 5 + Rs 3 + Rs 3 + Rs 3 = Rs 14

Thus, Akash has to pay Rs 14 for posting the book.

Answer:

Weight of the parcel = 230 g Cost of a parcel weighing 50 g or less = Rs 5 If the weight of the parcel is more than 50 g, then the cost for every additional 50 g is Rs 3. Now, weight of the parcel = 230 g = 50 g + 50 g + 50 g + 50 g + 30 g ∴ Cost of the stamps = Rs 5 + Rs 3 + Rs 3 + Rs 3 + Rs 3 = Rs 17

So, the total cost of sending the parcel of 230 g is Rs 17. Parcel weight = 230 g Cost of stamps = Rs 17

Answer:

The 5 different ways are given below: (1) Rahul can buy five stamps of Rs 5 each in order to buy stamps of Rs 25 for his parcel. Cost of 1 stamp = Rs 5 Cost of 5 stamps = Rs 5 × 5 = Rs 25

(2) Rahul can buy two stamps of Rs 10 each and one stamp of Rs 5 in order to buy stamps of Rs 25 for his parcel. Cost of two stamps of Rs 10 each = Rs 10 × 2 = Rs 20 Total cost of two stamps of Rs 10 each and one stamp of Rs 5 = Rs 20 + Rs 5 = Rs 25

(3) Rahul can buy ten stamps of Rs 2 each and one stamp of Rs 5 in order to buy stamps of Rs 25 for his parcel.

Cost of ten stamps of Rs 2 each = Rs 2 × 10 = Rs 20 Total cost of ten stamps of Rs 2 each and one stamp of Rs 5 = Rs 20 + Rs 5 = Rs 25

(4) Rahul can buy three stamps of Rs 5 each and five stamps of Rs 2 each in order to buy stamps of Rs 25 for his parcel. Cost of three stamps of Rs 5 each = Rs 5 × 3 = Rs 15 Cost of five stamps of Rs 2 each = Rs 2 × 5 = Rs 10 Total cost of three stamps of Rs 5 each and five stamps of Rs 2 each = Rs 15 + Rs 10 = Rs 25

(5) Rahul can buy three stamps of Rs 5 each and one stamp of Rs 10 in order to buy stamps of Rs 25 for his parcel. Cost of three stamps of Rs 5 each = Rs 5 × 3 = Rs 15 Total cost of three stamps of Rs 5 each and one stamp of Rs 10 = Rs 15 + Rs 10 = Rs 25

Answer:

Weight of the crow = 650 g Weight of the frog = 145 g Total weight of the crow and the frog = 650 g + 145 g = 795 g Working: 650+145795The crow calculated the total weight as 795 g and when he opened his mouth to answer, the frog escaped from his mouth.

Answer:

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Answer:

In the first balance, we see that the total of weight of 3 oranges is equal to the combined weights of an orange and a mango. As all the oranges are of the same weight, we can say that the weight of a mango is equal to the weight of 2 oranges. In the second balance, we see that the total weight of 2 papayas is equal to the combined weights of 2 oranges and a mango. But as two oranges and a mango weigh the same, we can say that the weight of 2 papayas is equal to the weight of 2 mangoes. Thus, the weight of each papaya is equal to the weight of each mango and the weight of a mango is equal to the weight of 2 oranges. Therefore in the third balance, we need 4 oranges on the right pan of the balance in order to have equal weights on both the sides.

Answer:

Suppose we have three marbles, A, B and C, such that one of them is slightly heavier or lighter than the other two. Let us first put marbles A and B in two different pans. We will get the following situations:

(1) If the two pans balance each other, then marble C is either heavier or lighter than the other two marbles. To check this, let us put marbles A and C in the two different pans. If the pan containing marble C goes down, then we can say that marble C is heavier than marbles A and B. If the pan containing marble A goes down, then we can say that marble C is lighter than marbles A and B.

(2) Suppose the two pans containing marbles A and B do not balance each other. Let the weight of marble A be less than that of marble B. Now, let us remove marble B from the pan and put marble C in its place. After this, let us compare the weights of marbles A and C. If the two pans balance each other, then we can say that marble B is heavier than marbles A and C. If the pan containing marble C goes down, then we can say that the weights of marbles B and C are equal and marble A is lighter than marbles B and C.