Page 1
Objective Type Questions page: 5.18
Mark the correct alternative in each of the following:
1. Which of the following statement is true?
(a) - 7 > - 5 (b) - 7 < - 5 (c) (- 7) + (- 5) > 0 (d) (- 7) - (- 5) > 0
Solution:
The option (b) is correct answer.
In option (a)
We know that - 7 is to the left of – 5
Hence, - 7 < - 5.
In option (c)
We know that (- 7) + (- 5) = - (7 + 5) = - 12.
So - 12 is to the left of 0
Hence (- 7) + (- 5) < 0.
In option (d)
(- 7) - (- 5) = (- 7) + (additive inverse of - 5) = (- 7) + (5) = - (7 - 5) = - 2
We know that - 2 is to the left of 0, so (- 7) - (- 5) < 0.
2. 5 less than - 2 is
(a) 3 (b) - 3 (c) - 7 (d) 7
Solution:
The option (c) is correct answer.
We know that, 5 less than - 2 = (- 2) - (5) = - 2 - 5 = - 7
3. 6 more than - 7 is
(a) 1 (b) - 1 (c) 13 (d) – 13
Solution:
The option (b) is correct answer.
We know that, 6 more than - 7 = (- 7) + 6 = - (7 - 6) = - 1
4. If x is a positive integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = -2x (d) x = - |x|
Solution:
The option (b) is correct answer.
We know that if x is positive integer, then |x| = x
Hence, x + |x| = x + x = 2x and x - |x| = x - x = 0
5. If x is a negative integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = 2x (d) x - |x| = - 2x
Solution:
The option (a) is correct answer.
We know that x is negative integer, then |x| = -x
It can be written as
x + |x| = x - x = 0 and x - |x| = x - (- x) = x + x = 2x
Page 2
Objective Type Questions page: 5.18
Mark the correct alternative in each of the following:
1. Which of the following statement is true?
(a) - 7 > - 5 (b) - 7 < - 5 (c) (- 7) + (- 5) > 0 (d) (- 7) - (- 5) > 0
Solution:
The option (b) is correct answer.
In option (a)
We know that - 7 is to the left of – 5
Hence, - 7 < - 5.
In option (c)
We know that (- 7) + (- 5) = - (7 + 5) = - 12.
So - 12 is to the left of 0
Hence (- 7) + (- 5) < 0.
In option (d)
(- 7) - (- 5) = (- 7) + (additive inverse of - 5) = (- 7) + (5) = - (7 - 5) = - 2
We know that - 2 is to the left of 0, so (- 7) - (- 5) < 0.
2. 5 less than - 2 is
(a) 3 (b) - 3 (c) - 7 (d) 7
Solution:
The option (c) is correct answer.
We know that, 5 less than - 2 = (- 2) - (5) = - 2 - 5 = - 7
3. 6 more than - 7 is
(a) 1 (b) - 1 (c) 13 (d) – 13
Solution:
The option (b) is correct answer.
We know that, 6 more than - 7 = (- 7) + 6 = - (7 - 6) = - 1
4. If x is a positive integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = -2x (d) x = - |x|
Solution:
The option (b) is correct answer.
We know that if x is positive integer, then |x| = x
Hence, x + |x| = x + x = 2x and x - |x| = x - x = 0
5. If x is a negative integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = 2x (d) x - |x| = - 2x
Solution:
The option (a) is correct answer.
We know that x is negative integer, then |x| = -x
It can be written as
x + |x| = x - x = 0 and x - |x| = x - (- x) = x + x = 2x
6. If x is greater than 2, then |2 - x| =
(a) 2 - x (b) x - 2 (c) 2 + x (d) - x – 2
Solution:
The option (b) is correct answer.
We know that if a is negative integer, then |a| = - a
It is given that x is greater than 2 where 2 - x is negative
Hence, |2 - x| = - (2 - x) = - 2 + x = x - 2.
7. 9 + |- 4| is equal to
(a) 5 (b) - 5 (c) 13 (d) -13
Solution:
The option (c) is correct answer.
We know that, |- 4| = 4
Hence 9 + |- 4| = 9 + 4 = 13
8. (- 35) + (- 32) is equal to
(a) 67 (b) - 67 (c) - 3 (d) 3
Solution:
The option (b) is correct answer.
It can be written as (- 35) + (- 32) = - (35 + 32) = - 67
9. (- 29) + 5 is equal to
(a) 24 (b) 34 (c) - 34 (d) – 24
Solution:
The option (d) is correct answer.
It can be written as (- 29) + 5 = - (29 - 5) = - 24
10. |- |- 7| - 3| is equal to
(a) - 7 (b) 7 (c) 10 (d) – 10
Solution:
The option (c) is correct answer.
It can be written as |- |- 7| - 3| = |- 7 - 3| = |- 10| = 10
11. The successor of - 22 is
(a) - 23 (b) - 21 (c) 23 (d) 21
Solution:
The option (b) is correct answer.
We know that if ‘a’ is an integer a + 1 is its successor.
So the successor of - 22 = - 22 + 1 = - (22 - 1) = - 21
12. The predecessor of – 14 is
(a) – 15 (b) 15 (c) 13 (d) – 13
Solution:
Page 3
Objective Type Questions page: 5.18
Mark the correct alternative in each of the following:
1. Which of the following statement is true?
(a) - 7 > - 5 (b) - 7 < - 5 (c) (- 7) + (- 5) > 0 (d) (- 7) - (- 5) > 0
Solution:
The option (b) is correct answer.
In option (a)
We know that - 7 is to the left of – 5
Hence, - 7 < - 5.
In option (c)
We know that (- 7) + (- 5) = - (7 + 5) = - 12.
So - 12 is to the left of 0
Hence (- 7) + (- 5) < 0.
In option (d)
(- 7) - (- 5) = (- 7) + (additive inverse of - 5) = (- 7) + (5) = - (7 - 5) = - 2
We know that - 2 is to the left of 0, so (- 7) - (- 5) < 0.
2. 5 less than - 2 is
(a) 3 (b) - 3 (c) - 7 (d) 7
Solution:
The option (c) is correct answer.
We know that, 5 less than - 2 = (- 2) - (5) = - 2 - 5 = - 7
3. 6 more than - 7 is
(a) 1 (b) - 1 (c) 13 (d) – 13
Solution:
The option (b) is correct answer.
We know that, 6 more than - 7 = (- 7) + 6 = - (7 - 6) = - 1
4. If x is a positive integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = -2x (d) x = - |x|
Solution:
The option (b) is correct answer.
We know that if x is positive integer, then |x| = x
Hence, x + |x| = x + x = 2x and x - |x| = x - x = 0
5. If x is a negative integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = 2x (d) x - |x| = - 2x
Solution:
The option (a) is correct answer.
We know that x is negative integer, then |x| = -x
It can be written as
x + |x| = x - x = 0 and x - |x| = x - (- x) = x + x = 2x
6. If x is greater than 2, then |2 - x| =
(a) 2 - x (b) x - 2 (c) 2 + x (d) - x – 2
Solution:
The option (b) is correct answer.
We know that if a is negative integer, then |a| = - a
It is given that x is greater than 2 where 2 - x is negative
Hence, |2 - x| = - (2 - x) = - 2 + x = x - 2.
7. 9 + |- 4| is equal to
(a) 5 (b) - 5 (c) 13 (d) -13
Solution:
The option (c) is correct answer.
We know that, |- 4| = 4
Hence 9 + |- 4| = 9 + 4 = 13
8. (- 35) + (- 32) is equal to
(a) 67 (b) - 67 (c) - 3 (d) 3
Solution:
The option (b) is correct answer.
It can be written as (- 35) + (- 32) = - (35 + 32) = - 67
9. (- 29) + 5 is equal to
(a) 24 (b) 34 (c) - 34 (d) – 24
Solution:
The option (d) is correct answer.
It can be written as (- 29) + 5 = - (29 - 5) = - 24
10. |- |- 7| - 3| is equal to
(a) - 7 (b) 7 (c) 10 (d) – 10
Solution:
The option (c) is correct answer.
It can be written as |- |- 7| - 3| = |- 7 - 3| = |- 10| = 10
11. The successor of - 22 is
(a) - 23 (b) - 21 (c) 23 (d) 21
Solution:
The option (b) is correct answer.
We know that if ‘a’ is an integer a + 1 is its successor.
So the successor of - 22 = - 22 + 1 = - (22 - 1) = - 21
12. The predecessor of – 14 is
(a) – 15 (b) 15 (c) 13 (d) – 13
Solution:
The option (a) is correct answer.
The predecessor of – 14 is – 15.
13. If the sum of two integers is - 26 and one of them is 14, then the other integer is
(a) - 12 (b) 12 (c) - 40 (d) 40
Solution:
The option (c) is correct answer.
It is given that the sum of two integers = - 26
One of them = 14
So the other integer = - 26 - 14 = - (26 + 14) = - 40
14. Which of the following pairs of integers have 5 as a difference?
(a) 10, 5 (b) - 10, - 5 (c) 15, - 20 (d) both (a) and (b)
Solution:
The option (d) is correct answer.
Consider option (a) 10 - 5 = 5
Consider option (b) (- 5) - (- 10) = - 5 + 10 = 5
Consider option (c) 15 - (- 20) = 15 + 20 = 35
15. If the product of two integers is 72 and one of them is - 9, then the other integers is
(a) - 8 (b) 8 (c) 81 (d) 63
Solution:
The option (a) is correct answer.
It is given that the product of two integers = 72
One of them = - 9
Hence, the other integers = 72 ÷ (- 9) = - 8
16. On subtracting - 7 from - 14, we get
(a) - 12 (b) - 7 (c) -14 (d) 21
Solution:
The option (b) is correct answer.
It can be written as
Required number = - 14 - (- 7) = - 14 + 7 = - (14 - 7) = - 7
17. The largest number that divides 64 and 72 and leave the remainders 12 and 7 respectively, is
(a) 17 (b) 13 (c) 14 (d) 18
Solution:
The option (b) is correct answer.
By subtracting 12 and 7 from 64 and 72
We get
64 - 12 = 52 and 72 - 7 = 65
So the required number is the HCF of 52 and 65.
It can be written as
52 = 4 × 13 and 65 = 5 × 13
HCF of 52 and 65 = 13
Page 4
Objective Type Questions page: 5.18
Mark the correct alternative in each of the following:
1. Which of the following statement is true?
(a) - 7 > - 5 (b) - 7 < - 5 (c) (- 7) + (- 5) > 0 (d) (- 7) - (- 5) > 0
Solution:
The option (b) is correct answer.
In option (a)
We know that - 7 is to the left of – 5
Hence, - 7 < - 5.
In option (c)
We know that (- 7) + (- 5) = - (7 + 5) = - 12.
So - 12 is to the left of 0
Hence (- 7) + (- 5) < 0.
In option (d)
(- 7) - (- 5) = (- 7) + (additive inverse of - 5) = (- 7) + (5) = - (7 - 5) = - 2
We know that - 2 is to the left of 0, so (- 7) - (- 5) < 0.
2. 5 less than - 2 is
(a) 3 (b) - 3 (c) - 7 (d) 7
Solution:
The option (c) is correct answer.
We know that, 5 less than - 2 = (- 2) - (5) = - 2 - 5 = - 7
3. 6 more than - 7 is
(a) 1 (b) - 1 (c) 13 (d) – 13
Solution:
The option (b) is correct answer.
We know that, 6 more than - 7 = (- 7) + 6 = - (7 - 6) = - 1
4. If x is a positive integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = -2x (d) x = - |x|
Solution:
The option (b) is correct answer.
We know that if x is positive integer, then |x| = x
Hence, x + |x| = x + x = 2x and x - |x| = x - x = 0
5. If x is a negative integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = 2x (d) x - |x| = - 2x
Solution:
The option (a) is correct answer.
We know that x is negative integer, then |x| = -x
It can be written as
x + |x| = x - x = 0 and x - |x| = x - (- x) = x + x = 2x
6. If x is greater than 2, then |2 - x| =
(a) 2 - x (b) x - 2 (c) 2 + x (d) - x – 2
Solution:
The option (b) is correct answer.
We know that if a is negative integer, then |a| = - a
It is given that x is greater than 2 where 2 - x is negative
Hence, |2 - x| = - (2 - x) = - 2 + x = x - 2.
7. 9 + |- 4| is equal to
(a) 5 (b) - 5 (c) 13 (d) -13
Solution:
The option (c) is correct answer.
We know that, |- 4| = 4
Hence 9 + |- 4| = 9 + 4 = 13
8. (- 35) + (- 32) is equal to
(a) 67 (b) - 67 (c) - 3 (d) 3
Solution:
The option (b) is correct answer.
It can be written as (- 35) + (- 32) = - (35 + 32) = - 67
9. (- 29) + 5 is equal to
(a) 24 (b) 34 (c) - 34 (d) – 24
Solution:
The option (d) is correct answer.
It can be written as (- 29) + 5 = - (29 - 5) = - 24
10. |- |- 7| - 3| is equal to
(a) - 7 (b) 7 (c) 10 (d) – 10
Solution:
The option (c) is correct answer.
It can be written as |- |- 7| - 3| = |- 7 - 3| = |- 10| = 10
11. The successor of - 22 is
(a) - 23 (b) - 21 (c) 23 (d) 21
Solution:
The option (b) is correct answer.
We know that if ‘a’ is an integer a + 1 is its successor.
So the successor of - 22 = - 22 + 1 = - (22 - 1) = - 21
12. The predecessor of – 14 is
(a) – 15 (b) 15 (c) 13 (d) – 13
Solution:
The option (a) is correct answer.
The predecessor of – 14 is – 15.
13. If the sum of two integers is - 26 and one of them is 14, then the other integer is
(a) - 12 (b) 12 (c) - 40 (d) 40
Solution:
The option (c) is correct answer.
It is given that the sum of two integers = - 26
One of them = 14
So the other integer = - 26 - 14 = - (26 + 14) = - 40
14. Which of the following pairs of integers have 5 as a difference?
(a) 10, 5 (b) - 10, - 5 (c) 15, - 20 (d) both (a) and (b)
Solution:
The option (d) is correct answer.
Consider option (a) 10 - 5 = 5
Consider option (b) (- 5) - (- 10) = - 5 + 10 = 5
Consider option (c) 15 - (- 20) = 15 + 20 = 35
15. If the product of two integers is 72 and one of them is - 9, then the other integers is
(a) - 8 (b) 8 (c) 81 (d) 63
Solution:
The option (a) is correct answer.
It is given that the product of two integers = 72
One of them = - 9
Hence, the other integers = 72 ÷ (- 9) = - 8
16. On subtracting - 7 from - 14, we get
(a) - 12 (b) - 7 (c) -14 (d) 21
Solution:
The option (b) is correct answer.
It can be written as
Required number = - 14 - (- 7) = - 14 + 7 = - (14 - 7) = - 7
17. The largest number that divides 64 and 72 and leave the remainders 12 and 7 respectively, is
(a) 17 (b) 13 (c) 14 (d) 18
Solution:
The option (b) is correct answer.
By subtracting 12 and 7 from 64 and 72
We get
64 - 12 = 52 and 72 - 7 = 65
So the required number is the HCF of 52 and 65.
It can be written as
52 = 4 × 13 and 65 = 5 × 13
HCF of 52 and 65 = 13
Hence, the largest number that divides 64 and 72 and leave the remainders 12 and 7 respectively, is 13.
18. The sum of two integers is - 23. If one of them is 18, then the other is
(a) -14 (b) 14 (c) 41 (d) -41
Solution:
The option (d) is correct answer.
It is given that the sum of two integers = - 23
One of them = 18
So the other number = (- 23) - (18) = - 23 - 18 = - (23 + 18) = - 41
Hence, the other number is - 41.
19. The sum of two integers is - 35. If one of them is 40, then the other is
(a) 5 (b) - 75 (c) 75 (d) – 5
Solution:
The option (b) is correct answer.
It is given that the sum of two integers = - 35
One of them = 40
So the other number = (- 35) - (40) = - 35 - 40 = - (35 + 40) = - 75
Hence, the other number is - 75.
20. On subtracting - 5 from 0, we get
(a) - 5 (b) 5 (c) 50 (d) 0
Solution:
The option (b) is correct answer.
We know that, 0 - (- 5) = 0 + 5 = 5
Hence by subtracting - 5 from 0, we obtain 5.
21. (- 16) + 14 - (- 13) is equal to
(a) - 11 (b) 12 (c) 11 (d) – 15
Solution:
The option (c) is correct answer.
It can be written as (- 16) + 14 - (- 13) = (- 16) + 14 + 13 = (- 16) + 27 = 27 - 16 = 11
22. (- 2) × (- 3) × 6 × (- 1) is equal to
(a) 36 (b) - 36 (c) 6 (d) – 6
Solution:
The option (b) is correct answer.
It can be written as (- 2) × (- 3) × 6 × (- 1) = (2 × 3) × 6 × (- 1) = 6 × 6 × (- 1) = 36 × (- 1)
So we get (- 2) × (- 3) × 6 × (- 1) = - (36 × 1) = - 36
23. 86 + (- 28) + 12 + (- 34) is equal to
(a) 36 (b) - 36 (c) 6 (d) – 6
Solution:
The option (a) is correct answer.
Page 5
Objective Type Questions page: 5.18
Mark the correct alternative in each of the following:
1. Which of the following statement is true?
(a) - 7 > - 5 (b) - 7 < - 5 (c) (- 7) + (- 5) > 0 (d) (- 7) - (- 5) > 0
Solution:
The option (b) is correct answer.
In option (a)
We know that - 7 is to the left of – 5
Hence, - 7 < - 5.
In option (c)
We know that (- 7) + (- 5) = - (7 + 5) = - 12.
So - 12 is to the left of 0
Hence (- 7) + (- 5) < 0.
In option (d)
(- 7) - (- 5) = (- 7) + (additive inverse of - 5) = (- 7) + (5) = - (7 - 5) = - 2
We know that - 2 is to the left of 0, so (- 7) - (- 5) < 0.
2. 5 less than - 2 is
(a) 3 (b) - 3 (c) - 7 (d) 7
Solution:
The option (c) is correct answer.
We know that, 5 less than - 2 = (- 2) - (5) = - 2 - 5 = - 7
3. 6 more than - 7 is
(a) 1 (b) - 1 (c) 13 (d) – 13
Solution:
The option (b) is correct answer.
We know that, 6 more than - 7 = (- 7) + 6 = - (7 - 6) = - 1
4. If x is a positive integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = -2x (d) x = - |x|
Solution:
The option (b) is correct answer.
We know that if x is positive integer, then |x| = x
Hence, x + |x| = x + x = 2x and x - |x| = x - x = 0
5. If x is a negative integer, then
(a) x + |x| = 0 (b) x - |x| = 0 (c) x + |x| = 2x (d) x - |x| = - 2x
Solution:
The option (a) is correct answer.
We know that x is negative integer, then |x| = -x
It can be written as
x + |x| = x - x = 0 and x - |x| = x - (- x) = x + x = 2x
6. If x is greater than 2, then |2 - x| =
(a) 2 - x (b) x - 2 (c) 2 + x (d) - x – 2
Solution:
The option (b) is correct answer.
We know that if a is negative integer, then |a| = - a
It is given that x is greater than 2 where 2 - x is negative
Hence, |2 - x| = - (2 - x) = - 2 + x = x - 2.
7. 9 + |- 4| is equal to
(a) 5 (b) - 5 (c) 13 (d) -13
Solution:
The option (c) is correct answer.
We know that, |- 4| = 4
Hence 9 + |- 4| = 9 + 4 = 13
8. (- 35) + (- 32) is equal to
(a) 67 (b) - 67 (c) - 3 (d) 3
Solution:
The option (b) is correct answer.
It can be written as (- 35) + (- 32) = - (35 + 32) = - 67
9. (- 29) + 5 is equal to
(a) 24 (b) 34 (c) - 34 (d) – 24
Solution:
The option (d) is correct answer.
It can be written as (- 29) + 5 = - (29 - 5) = - 24
10. |- |- 7| - 3| is equal to
(a) - 7 (b) 7 (c) 10 (d) – 10
Solution:
The option (c) is correct answer.
It can be written as |- |- 7| - 3| = |- 7 - 3| = |- 10| = 10
11. The successor of - 22 is
(a) - 23 (b) - 21 (c) 23 (d) 21
Solution:
The option (b) is correct answer.
We know that if ‘a’ is an integer a + 1 is its successor.
So the successor of - 22 = - 22 + 1 = - (22 - 1) = - 21
12. The predecessor of – 14 is
(a) – 15 (b) 15 (c) 13 (d) – 13
Solution:
The option (a) is correct answer.
The predecessor of – 14 is – 15.
13. If the sum of two integers is - 26 and one of them is 14, then the other integer is
(a) - 12 (b) 12 (c) - 40 (d) 40
Solution:
The option (c) is correct answer.
It is given that the sum of two integers = - 26
One of them = 14
So the other integer = - 26 - 14 = - (26 + 14) = - 40
14. Which of the following pairs of integers have 5 as a difference?
(a) 10, 5 (b) - 10, - 5 (c) 15, - 20 (d) both (a) and (b)
Solution:
The option (d) is correct answer.
Consider option (a) 10 - 5 = 5
Consider option (b) (- 5) - (- 10) = - 5 + 10 = 5
Consider option (c) 15 - (- 20) = 15 + 20 = 35
15. If the product of two integers is 72 and one of them is - 9, then the other integers is
(a) - 8 (b) 8 (c) 81 (d) 63
Solution:
The option (a) is correct answer.
It is given that the product of two integers = 72
One of them = - 9
Hence, the other integers = 72 ÷ (- 9) = - 8
16. On subtracting - 7 from - 14, we get
(a) - 12 (b) - 7 (c) -14 (d) 21
Solution:
The option (b) is correct answer.
It can be written as
Required number = - 14 - (- 7) = - 14 + 7 = - (14 - 7) = - 7
17. The largest number that divides 64 and 72 and leave the remainders 12 and 7 respectively, is
(a) 17 (b) 13 (c) 14 (d) 18
Solution:
The option (b) is correct answer.
By subtracting 12 and 7 from 64 and 72
We get
64 - 12 = 52 and 72 - 7 = 65
So the required number is the HCF of 52 and 65.
It can be written as
52 = 4 × 13 and 65 = 5 × 13
HCF of 52 and 65 = 13
Hence, the largest number that divides 64 and 72 and leave the remainders 12 and 7 respectively, is 13.
18. The sum of two integers is - 23. If one of them is 18, then the other is
(a) -14 (b) 14 (c) 41 (d) -41
Solution:
The option (d) is correct answer.
It is given that the sum of two integers = - 23
One of them = 18
So the other number = (- 23) - (18) = - 23 - 18 = - (23 + 18) = - 41
Hence, the other number is - 41.
19. The sum of two integers is - 35. If one of them is 40, then the other is
(a) 5 (b) - 75 (c) 75 (d) – 5
Solution:
The option (b) is correct answer.
It is given that the sum of two integers = - 35
One of them = 40
So the other number = (- 35) - (40) = - 35 - 40 = - (35 + 40) = - 75
Hence, the other number is - 75.
20. On subtracting - 5 from 0, we get
(a) - 5 (b) 5 (c) 50 (d) 0
Solution:
The option (b) is correct answer.
We know that, 0 - (- 5) = 0 + 5 = 5
Hence by subtracting - 5 from 0, we obtain 5.
21. (- 16) + 14 - (- 13) is equal to
(a) - 11 (b) 12 (c) 11 (d) – 15
Solution:
The option (c) is correct answer.
It can be written as (- 16) + 14 - (- 13) = (- 16) + 14 + 13 = (- 16) + 27 = 27 - 16 = 11
22. (- 2) × (- 3) × 6 × (- 1) is equal to
(a) 36 (b) - 36 (c) 6 (d) – 6
Solution:
The option (b) is correct answer.
It can be written as (- 2) × (- 3) × 6 × (- 1) = (2 × 3) × 6 × (- 1) = 6 × 6 × (- 1) = 36 × (- 1)
So we get (- 2) × (- 3) × 6 × (- 1) = - (36 × 1) = - 36
23. 86 + (- 28) + 12 + (- 34) is equal to
(a) 36 (b) - 36 (c) 6 (d) – 6
Solution:
The option (a) is correct answer.
It can be written as 86 + (-28) + 12 + (-34) = 86 + (-28) - (34 - 12) = 86 + (-28) - 22
On further calculation
86 + (-28) + 12 + (-34) = (86 - 28) - (34 - 12) = (86 - 28) - 22 = 58 - 22 = 36
24. (-12) × (-9) - 6 × (-8) is equal to
(a) 156 (b) 60 (c) -156 (d) – 60
Solution:
The option (a) is correct answer.
It can be written as (-12) × (-9) - 6 × (-8) = (12 × 9) - 6 × (-8) = 108 - 6 × (-8)
On further calculation
(-12) × (-9) - 6 × (-8) = 108 + 6 × 8 = 108 + 48 = 156
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