Class 7th-integers & Fractions-decimals Assessment

1) Rani bought 3 kg 500 g apples and 5 kg 750g grapes. Raju bought 5 kg 450g mangoes and 6 kg 450g oranges. Who bought more fruits?

Raju

Rani

Raju bought more fruits because he bought a total of 11 kg 900g of fruits (5 kg 450g mangoes + 6 kg 450g oranges), while Rani bought a total of 9 kg 250g of fruits (3 kg 500g apples + 5 kg 750g grapes).

Explanation

Raju bought more fruits because he bought a total of 11 kg 900g of fruits (5 kg 450g mangoes + 6 kg 450g oranges), while Rani bought a total of 9 kg 250g of fruits (3 kg 500g apples + 5 kg 750g grapes).

2) -22, -20, -18, -16, —, —, — The next number in the series is ———–

14

-14

18

-12

The given series is a sequence of numbers with a common difference of 2. The numbers are decreasing from -22 to -16. Therefore, the next number in the series will be obtained by subtracting 2 from the last number, which is -16. Hence, the next number in the series is -18.

Explanation

The given series is a sequence of numbers with a common difference of 2. The numbers are decreasing from -22 to -16. Therefore, the next number in the series will be obtained by subtracting 2 from the last number, which is -16. Hence, the next number in the series is -18.

3) Multiply 2.05 and 1.3

2.565

25.65

2.665

26.65

To multiply 2.05 and 1.3, we multiply the two numbers together. When we do this calculation, we get the result of 2.665.

Explanation

To multiply 2.05 and 1.3, we multiply the two numbers together. When we do this calculation, we get the result of 2.665.

4) Solve:[32 + 2 m 17 + (-6)] ÷ 15

8

4

6

-4

To solve the expression, we follow the order of operations: first, we perform the multiplication and division from left to right, and then we perform the addition and subtraction from left to right. Multiplying 2 by 17 gives us 34, and adding that to 32 gives us 66. Subtracting 6 from 66 gives us 60. Finally, dividing 60 by 15 gives us 4. Therefore, the answer is 4.

Explanation

To solve the expression, we follow the order of operations: first, we perform the multiplication and division from left to right, and then we perform the addition and subtraction from left to right. Multiplying 2 by 17 gives us 34, and adding that to 32 gives us 66. Subtracting 6 from 66 gives us 60. Finally, dividing 60 by 15 gives us 4. Therefore, the answer is 4.

5) Which number is known as the multiplicative identity for integers?

The number 1 is known as the multiplicative identity for integers because any integer multiplied by 1 will result in the same integer. In other words, 1 acts as a neutral element in multiplication for integers, similar to how 0 acts as a neutral element in addition.

Explanation

The number 1 is known as the multiplicative identity for integers because any integer multiplied by 1 will result in the same integer. In other words, 1 acts as a neutral element in multiplication for integers, similar to how 0 acts as a neutral element in addition.

Submit

6) Fill in the blanks to make the statement true: (-3) + (-6) = (-6) + ————–

The statement is true when (-3) is added to (-6), the sum is -9. Therefore, to make the statement true, the blank should be filled with -9. However, the given answer is -3, which is incorrect.

Explanation

The statement is true when (-3) is added to (-6), the sum is -9. Therefore, to make the statement true, the blank should be filled with -9. However, the given answer is -3, which is incorrect.

Submit

7) Predecessor of successor of -21 is:

-20

-19

-21

-22

The predecessor of a number is the number that comes before it, and the successor is the number that comes after it. In this case, the successor of -21 is -20. Therefore, the predecessor of -20 would be -21.

Explanation

The predecessor of a number is the number that comes before it, and the successor is the number that comes after it. In this case, the successor of -21 is -20. Therefore, the predecessor of -20 would be -21.

8) Which one is not Equivalent fractions of 2/3 :

4/6

14/21

42/63

12/27

The fractions 4/6, 14/21, and 42/63 are all equivalent to 2/3 because they can be simplified to the same fraction by dividing both the numerator and denominator by their greatest common divisor. However, 12/27 is not equivalent to 2/3 because it cannot be simplified any further.

Explanation

The fractions 4/6, 14/21, and 42/63 are all equivalent to 2/3 because they can be simplified to the same fraction by dividing both the numerator and denominator by their greatest common divisor. However, 12/27 is not equivalent to 2/3 because it cannot be simplified any further.

9) Integers include positive whole numbers, negative whole numbers, and _______.

The set of integers consists of all positive whole numbers (1, 2, 3, ...), their negative counterparts (-1, -2, -3, ...), and zero. Integers do not include fractions or decimals.

Explanation

The set of integers consists of all positive whole numbers (1, 2, 3, ...), their negative counterparts (-1, -2, -3, ...), and zero. Integers do not include fractions or decimals.

Submit

10) The product of two numbers is 2.0016. If one of them is 0.72, find the other number.

1.98

19.8

2.78

27.8

If the product of two numbers is 2.0016 and one of them is 0.72, we can find the other number by dividing the product by the given number. Therefore, the other number is 2.0016 / 0.72 = 2.78.

Explanation

If the product of two numbers is 2.0016 and one of them is 0.72, we can find the other number by dividing the product by the given number. Therefore, the other number is 2.0016 / 0.72 = 2.78.

11) Which is greater? (a) (1/2) of (6/7) (b) (2/3) of (3/7)

A

B

Both equal

To compare the two fractions, we can simplify them. (1/2) of (6/7) is equal to (1/2) * (6/7) = 6/14 = 3/7. (2/3) of (3/7) is equal to (2/3) * (3/7) = 6/21 = 2/7. Comparing the simplified fractions, we can see that 3/7 is greater than 2/7. Therefore, option (a) is greater than option (b).

Explanation

To compare the two fractions, we can simplify them. (1/2) of (6/7) is equal to (1/2) * (6/7) = 6/14 = 3/7. (2/3) of (3/7) is equal to (2/3) * (3/7) = 6/21 = 2/7. Comparing the simplified fractions, we can see that 3/7 is greater than 2/7. Therefore, option (a) is greater than option (b).

12) Difference between 43°C and -27°C is:

-16°C

-70°C

70°C

16°C

The difference between 43°C and -27°C is 70°C. This is because when subtracting a negative number from a positive number, we add the absolute values of the numbers and keep the sign of the larger number. In this case, the absolute difference between 43 and 27 is 16, and since 43 is the larger number, we keep its positive sign. Therefore, the difference is 70°C.

Explanation

The difference between 43°C and -27°C is 70°C. This is because when subtracting a negative number from a positive number, we add the absolute values of the numbers and keep the sign of the larger number. In this case, the absolute difference between 43 and 27 is 16, and since 43 is the larger number, we keep its positive sign. Therefore, the difference is 70°C.

13) Arnav spends 1 $\frac { 3 }{ 4 }$ hours in studies, 2 $\frac { 1 }{ 2 }$ hours in playing cricket. How much time did he spend in all?

17/4 hrs

9/2 hrs

17/2 hrs

9/4 hrs

Arnav spends 1 hour in studies and 2 hours in playing cricket. To find the total time he spent, we add these two amounts together. 1 hour + 2 hours equals 3 hours. However, the answer choices are given in fractions, so we need to convert 3 hours into a fraction. Since there are 4 quarters in an hour, 3 hours can be written as 12 quarters. Therefore, the answer is 12/4 hours, which simplifies to 3 hours. However, this is not one of the answer choices given. Therefore, the correct answer is not available.

Explanation

Arnav spends 1 hour in studies and 2 hours in playing cricket. To find the total time he spent, we add these two amounts together. 1 hour + 2 hours equals 3 hours. However, the answer choices are given in fractions, so we need to convert 3 hours into a fraction. Since there are 4 quarters in an hour, 3 hours can be written as 12 quarters. Therefore, the answer is 12/4 hours, which simplifies to 3 hours. However, this is not one of the answer choices given. Therefore, the correct answer is not available.

14) Which of the following operation is not commutative for integers?

Addition

Subtraction

Multiplication

None of these

Subtraction is not commutative for integers because the order of the numbers affects the result. For example, 5 - 3 is not the same as 3 - 5. In the first case, the result is 2, but in the second case, the result is -2. This shows that the operation of subtraction does not follow the commutative property, which states that changing the order of the numbers does not change the result.

Explanation

Subtraction is not commutative for integers because the order of the numbers affects the result. For example, 5 - 3 is not the same as 3 - 5. In the first case, the result is 2, but in the second case, the result is -2. This shows that the operation of subtraction does not follow the commutative property, which states that changing the order of the numbers does not change the result.

15) A sugar bag contains 30kg of sugar. After consuming (2/3) of it, how much sugar is left in the bag?

10 kg

15 kg

20 kg

None of these

After consuming (2/3) of the sugar bag, we need to find out how much sugar is left. To do this, we calculate (2/3) * 30kg = 20kg. Therefore, there is 10kg of sugar left in the bag.

Explanation

After consuming (2/3) of the sugar bag, we need to find out how much sugar is left. To do this, we calculate (2/3) * 30kg = 20kg. Therefore, there is 10kg of sugar left in the bag.

16) Find the value of: (i) 1487 m 327 + (-487) m 327 (ii) 28945 m 99 – (-28945) respectively.

327000 & 289450

32700 & 2894500

327000 & 2894500

2894500 & 327000

.

Explanation

.

17) In a charity show Rs 6496 were collected by selling some tickets. If the price of each ticket was Rs 50 (3/4), how many tickets were sold?

256

128

64

None of these

The total amount collected from selling tickets at the charity show is given as Rs 6496. The price of each ticket is said to be Rs 50, which is equal to 3/4 of the original price. To find the number of tickets sold, we can set up an equation. Let x be the number of tickets sold. The equation is then (50 * 3/4) * x = 6496. Simplifying this equation, we get 37.5x = 6496. Dividing both sides by 37.5, we find that x is approximately equal to 173. This means that 173 tickets were sold. However, this is not one of the given answer choices. Therefore, the correct answer must be None of these.

Explanation

The total amount collected from selling tickets at the charity show is given as Rs 6496. The price of each ticket is said to be Rs 50, which is equal to 3/4 of the original price. To find the number of tickets sold, we can set up an equation. Let x be the number of tickets sold. The equation is then (50 * 3/4) * x = 6496. Simplifying this equation, we get 37.5x = 6496. Dividing both sides by 37.5, we find that x is approximately equal to 173. This means that 173 tickets were sold. However, this is not one of the given answer choices. Therefore, the correct answer must be None of these.

18) In mid-day meal scheme (3/10) liter of milk is given to each student of a primary school. If 30 liters of milk is distributed every day in the school, how many students are there in the school?

30

90

100

120

If 30 liters of milk is distributed every day and each student receives 3/10 liter of milk, we can find the number of students by dividing the total amount of milk distributed by the amount of milk given to each student. So, 30 / (3/10) = 100. Therefore, there are 100 students in the school.

Explanation

If 30 liters of milk is distributed every day and each student receives 3/10 liter of milk, we can find the number of students by dividing the total amount of milk distributed by the amount of milk given to each student. So, 30 / (3/10) = 100. Therefore, there are 100 students in the school.

19) How much is -8 less than -3

5

-5

11

-11

The question asks how much -8 is less than -3. To find the difference, we subtract -3 from -8. This gives us -8 - (-3) = -8 + 3 = -5. Therefore, -8 is 5 less than -3.

Explanation

The question asks how much -8 is less than -3. To find the difference, we subtract -3 from -8. This gives us -8 - (-3) = -8 + 3 = -5. Therefore, -8 is 5 less than -3.

20) The average of the scores of -38,13,-32,8 and -16 is

-65

5

-13

21

The average of a set of numbers is found by adding up all the numbers and then dividing the sum by the total number of numbers. In this case, the sum of -38, 13, -32, 8, and -16 is -65. Since there are 5 numbers in the set, we divide -65 by 5 to find the average, which is -13.

Explanation

The average of a set of numbers is found by adding up all the numbers and then dividing the sum by the total number of numbers. In this case, the sum of -38, 13, -32, 8, and -16 is -65. Since there are 5 numbers in the set, we divide -65 by 5 to find the average, which is -13.