71 + Interview Questions in WHOLE NUMBERS IN GENERAL AWARENESS Page 2 InterviewSolution

51.	Find out the value of each of the following by distributive property. (i) 185 × 25 + 185 × 75 (ii) 4 × 18 + 4 × 12 (iii) 54279 × 92 + 8 × 54279 (iv) 12 × 8 + 12 × 2
Answer» Finding each value by distributive law – (i) 185 × 25 + 185 × 75 = 185 × (26 + 75) – 185 × 100 = 18500 (ii) 4 × 18 + 4 × 12 = 4 × (18 + 12) = 4 × 30 = 120 (iii) 54279 × 92 + 8 × 54279 = 54279 × (92 + 8) = 54279 × 100 = 5427900 (iv) 12 × 8 + 12 × 2 = 12 × (8 + 2) = 12 × 10 = 120

51.

Find out the value of each of the following by distributive property. (i) 185 × 25 + 185 × 75 (ii) 4 × 18 + 4 × 12 (iii) 54279 × 92 + 8 × 54279 (iv) 12 × 8 + 12 × 2

Answer»

Finding each value by distributive law –

(i) 185 × 25 + 185 × 75 = 185 × (26 + 75) – 185 × 100 = 18500

(ii) 4 × 18 + 4 × 12 = 4 × (18 + 12) = 4 × 30 = 120

(iii) 54279 × 92 + 8 × 54279 = 54279 × (92 + 8) = 54279 × 100 = 5427900

(iv) 12 × 8 + 12 × 2 = 12 × (8 + 2) = 12 × 10 = 120

Discussion

52.	If a, b, c are whole numbers the distributive property of multiplication over addition is …………… A) a + (b × c)B) a × b + a × c C) a × (b + c) D) c = b
Answer» Correct option is D) c = b

Discussion

53.	Find out the multiplication by proper order. (i) 4 × 1225 × 25 (ii) 4 × 158 × 125 (iii) 4 × 85 × 25 (iv) 8 × 20 × 125
Answer» Multiply under associativity – (i) (4 × 1225) × 25 = 1225 × (4 × 25) 4900 × 25 = 1225 × 100 = 122500 (ii) (4 × 158) × 125 = 158 × (4 × 125) 632 × 125 = 158 × 500 = 79000 (iii) (4 × 85) × 25 = 85 × (4 × 25) 340 × 25 = 85 × 100 = 8500 (iv) (8 × 20) × 125 = 20 × (8 × 125) 160 × 125 = 20 × 1000 = 20000

53.

Find out the multiplication by proper order. (i) 4 × 1225 × 25 (ii) 4 × 158 × 125 (iii) 4 × 85 × 25 (iv) 8 × 20 × 125

Answer»

Multiply under associativity –

(i) (4 × 1225) × 25 = 1225 × (4 × 25)

4900 × 25 = 1225 × 100 = 122500

(ii) (4 × 158) × 125 = 158 × (4 × 125)

632 × 125 = 158 × 500 = 79000

(iii) (4 × 85) × 25 = 85 × (4 × 25)

340 × 25 = 85 × 100 = 8500

(iv) (8 × 20) × 125 = 20 × (8 × 125)

160 × 125 = 20 × 1000 = 20000

Discussion

54.	Choose the appropriate symbol from < or > and place it in the blanks. i) 8 ……. 7 ii) 5 ……. 2 iii) 0 ……. 1 iv) 10 ……. 5
Answer» i) 8 …. > …. 7 ii) 5 …. > …. 2 iii) 0 …. < …. 1 iv) 10 …. > …. 5

54.

Choose the appropriate symbol from < or > and place it in the blanks. i) 8 ……. 7 ii) 5 ……. 2 iii) 0 ……. 1 iv) 10 ……. 5

Answer»

i) 8 …. > …. 7

ii) 5 …. > …. 2

iii) 0 …. < …. 1

iv) 10 …. > …. 5

Discussion

55.	Looking at the following table find out true or false.S. No.NumbersPosition on number lineRelation between numbersTrue/False112,812 is on the right side of 812 > 823,103 is on the left side of 1010 < 3366,4566 is on the right side of 4566 > 454236,190190 is on the left side of 236190 < 23651001,10101010 is on the right side of 10011010 > 1001
Answer» 1. T 2. F 3. T 4. T 5. T

55.

Looking at the following table find out true or false.S. No.NumbersPosition on number lineRelation between numbersTrue/False112,812 is on the right side of 812 > 823,103 is on the left side of 1010 < 3366,4566 is on the right side of 4566 > 454236,190190 is on the left side of 236190 < 23651001,10101010 is on the right side of 10011010 > 1001

Answer»

1. T

2. F

3. T

4. T

5. T

Discussion

56.	If the multiplication of two whole numbers is 1, then can we say that one or both of the numbers are equal to 1? Prove your answer with example.
Answer» If multiplication of two whole numbers is 1, then definitely one or both the numbers are equal to 1 or should be reciprocal to each other. e.g.- 1 × 1 = 1 and 5 × (1/5) =1

56.

If the multiplication of two whole numbers is 1, then can we say that one or both of the numbers are equal to 1? Prove your answer with example.

Answer»

If multiplication of two whole numbers is 1, then definitely one or both the numbers are equal to 1 or should be reciprocal to each other.

e.g.- 1 × 1 = 1 and 5 × (1/5) =1

Discussion

57.	Find out the multiplication by using proper property. (i) 185 × 106 (ii) 208 × 185 (iii) 54 × 102 (iv) 158 × 1008
Answer» Solving by distribution method of multiplication on addition— (i) 185 × 106 = 185 × (100 + 6) = 185 × 100 +185 × 6 = 18500 +1110 = 19610 (ii) 208 × 185 = 185 × 208 = 185 × (200 + 8) = 185 × 200 + 185 × 8 = 37000 + 1480 = 38480 (iii) 54 × 102 = 54 × (100 + 2) = 54 × 100 + 54 × 2 = 5400 + 108 = 5508 (iv) 158 × 1008 = 158 × (1000 + 8) = 158 × 1000 + 158 × 8 = 158000 + 1264 = 159264

57.

Find out the multiplication by using proper property. (i) 185 × 106 (ii) 208 × 185 (iii) 54 × 102 (iv) 158 × 1008

Answer»

Solving by distribution method of multiplication on addition—

(i) 185 × 106 = 185 × (100 + 6)

= 185 × 100 +185 × 6 = 18500 +1110 = 19610

(ii) 208 × 185 = 185 × 208 = 185 × (200 + 8)

= 185 × 200 + 185 × 8 = 37000 + 1480 = 38480

(iii) 54 × 102 = 54 × (100 + 2)

= 54 × 100 + 54 × 2 = 5400 + 108 = 5508

(iv) 158 × 1008 = 158 × (1000 + 8)

= 158 × 1000 + 158 × 8 = 158000 + 1264 = 159264

Discussion

58.	If the multiplication of any two whole numbers is zero, can we say that one or both of the numbers must be zero? Give an example to prove it.
Answer» Yes, because when zero is multiplied by any number, result is zero e.g.- 0 × 7 = 0, 8 × 0 = 0, 0 × 0 = 0

Discussion

59.	Match the following1. 425 × 136 = 425 × (6 + 30 + 100) ____ Commutativity under multiplication2. 2 × 49 × 50 = 2 × 50 × 49 ____ Commutativity under addition3. 80 + 2005 + 20 = 80 + 20 + 2005 ____Distributivity of multiplication over addition.
Answer» 1. 425 × 136 = 425 × (6 + 30 + 100) ___ Distributivity of multiplication over addition 2. 2 × 49 × 50 = 2 × 50 × 49 ___ Commutativity under multiplication 3. 80 + 2005 + 20 = 80 + 20 + 2005 ___ Commutativity under addition

59.

Match the following1. 425 × 136 = 425 × (6 + 30 + 100) Commutativity under multiplication2. 2 × 49 × 50 = 2 × 50 × 49 Commutativity under addition3. 80 + 2005 + 20 = 80 + 20 + 2005 Distributivity of multiplication over addition.

Answer»

1. 425 × 136 = 425 × (6 + 30 + 100) ___ Distributivity of multiplication over addition

2. 2 × 49 × 50 = 2 × 50 × 49 ___ Commutativity under multiplication

3. 80 + 2005 + 20 = 80 + 20 + 2005 ___ Commutativity under addition

Discussion

60.	By multiplying and 1 to any number result obtained is
Answer» When 0 is multiplied to any number we get 0 and when 1 is multiplied to any number we get no itself.

Discussion

61.	Is property of association applied for subtraction?
Answer» No, property of association does not apply for subtraction

Discussion

62.	Match the following(i) 2 + 8 = 8 + 2(a) commutativity of multiplication(ii) 8 x 90 = 90 x 8(b) commutativity of addition(iii) 885 x (100 + 45) = 885 x 100 + 885 x 45(c) associative property of multiplication(iv) 5 x (4 x 28) = (5 x 4) x 28(d) multiplication distribution on addition
Answer» (i) (b) (ii) (a) (iii) (d) (iv) (c)

62.

Match the following(i) 2 + 8 = 8 + 2(a) commutativity of multiplication(ii) 8 x 90 = 90 x 8(b) commutativity of addition(iii) 885 x (100 + 45) = 885 x 100 + 885 x 45(c) associative property of multiplication(iv) 5 x (4 x 28) = (5 x 4) x 28(d) multiplication distribution on addition

Answer»

(i) (b)

(ii) (a)

(iii) (d)

(iv) (c)

Discussion

63.	Take set of 3-3 numbers and test properties of associativity on the operations of addition and multiplication respectively.
Answer» Adding under associativity (22 + 7) + 6 = 29 + 6 = 35 or 22 + (7 + 6) = 22 + 13 = 35 ∴ In addition, associativity occurs. Multiplying under associativity (22 × 7) × 6 = 154 × 6 = 924 or 22 × (7 × 6) = 22 × 42 = 924 ∴ In multiplication, associativity occurs

63.

Take set of 3-3 numbers and test properties of associativity on the operations of addition and multiplication respectively.

Answer»

Adding under associativity

(22 + 7) + 6 = 29 + 6 = 35 or 22 + (7 + 6) = 22 + 13 = 35

∴ In addition, associativity occurs.

Multiplying under associativity

(22 × 7) × 6 = 154 × 6 = 924 or 22 × (7 × 6) = 22 × 42 = 924

∴ In multiplication, associativity occurs

Discussion

64.	Which operations of whole numbers follows commutativity and associativity?
Answer» Addition and multiplication of whole numbers follows commutativity and associativity.

Discussion

65.

Fill the following table with the successor and predecessor of the numbers provided.S.No.Natural numberPredecessorSuccessor1.1352.2373.999

Answer»

S.No.	Natural number	Predecessor	Successor
1.	135	134	136
2.	237	236	238
3.	999	998	1000

Discussion

66.	Whole numbers closed under subtraction.
Answer» No, whole numbers are not closed under subtraction (may or may not). e.g., 4 – 2 = 2, Whole number 7 – 12 = – 5, Not whole number

66.

Whole numbers closed under subtraction.

Answer»

No, whole numbers are not closed under subtraction (may or may not). e.g., 4 – 2 = 2, Whole number

7 – 12 = – 5, Not whole number

Discussion

67.	Is division and subtraction of whole numbers follows commutativity and Associativity
Answer» No, division and subtraction of whole numbers follows commutativity and Associativity

Discussion

68.	Which of the statements are true ( T ) and which are false ( F ). Correct the false statements.i) There is a natural number that has no predecessor.ii) Zero is the smallest whole number.iii) A whole number on the left of another number on the number line, is greater than that number.
Answer» i) There is a natural number that has no predecessor. ( T ) ii) Zero is the smallest whole number. ( T ) iii) A whole number on the left of another number on the number line, is greater than that number. ( F )

68.

Which of the statements are true ( T ) and which are false ( F ). Correct the false statements.i) There is a natural number that has no predecessor.ii) Zero is the smallest whole number.iii) A whole number on the left of another number on the number line, is greater than that number.

Answer»

i) There is a natural number that has no predecessor. ( T )

ii) Zero is the smallest whole number. ( T )

iii) A whole number on the left of another number on the number line, is greater than that number. ( F )

Discussion

69.	Are the whole numbers closed under division?
Answer» 6 ÷ 3 = 2, a whole number 3 ÷ 6 = \(\frac{3}{6}\) , not a whole number 6 Therefore, whole numbers are not closed under division.

69.

Are the whole numbers closed under division?

Answer»

6 ÷ 3 = 2, a whole number

3 ÷ 6 = \(\frac{3}{6}\) , not a whole number 6

Therefore, whole numbers are not closed under division.

Discussion

70.	Write the three whole numbers occurring just before 10001
Answer» The three whole numbers just before 10001 are 10000, 9999, 9998.

Discussion

71.	Find the sum by suitable rearrangement:a. 837 + 208 + 363 = (837 + 363) + 208b. 1962 + 453 + 1538 + 647 = (1962 + 1538) + (453 + 647)
Answer» a. 837 + 208 + 363 = (837 + 363) + 208 = 1200 + 208 = 1408 b. 1962 + 453 + 1538 + 647 = (1962 + 1538) + (453 + 647) = 3500 + 1100 = 4600.

71.

Find the sum by suitable rearrangement:a. 837 + 208 + 363 = (837 + 363) + 208b. 1962 + 453 + 1538 + 647 = (1962 + 1538) + (453 + 647)

Answer»

a. 837 + 208 + 363 = (837 + 363) + 208

= 1200 + 208

= 1408

b. 1962 + 453 + 1538 + 647 = (1962 + 1538) + (453 + 647)

= 3500 + 1100 = 4600.

Discussion

Explore topic-wise InterviewSolutions in .

Find out the value of each of the following by distributive property. (i) 185 × 25 + 185 × 75 (ii) 4 × 18 + 4 × 12 (iii) 54279 × 92 + 8 × 54279 (iv) 12 × 8 + 12 × 2

If a, b, c are whole numbers the distributive property of multiplication over addition is …………… A) a + (b × c)B) a × b + a × c C) a × (b + c) D) c = b

Find out the multiplication by proper order. (i) 4 × 1225 × 25 (ii) 4 × 158 × 125 (iii) 4 × 85 × 25 (iv) 8 × 20 × 125

Choose the appropriate symbol from &lt; or &gt; and place it in the blanks. i) 8 ……. 7 ii) 5 ……. 2 iii) 0 ……. 1 iv) 10 ……. 5

If the multiplication of two whole numbers is 1, then can we say that one or both of the numbers are equal to 1? Prove your answer with example.

Find out the multiplication by using proper property. (i) 185 × 106 (ii) 208 × 185 (iii) 54 × 102 (iv) 158 × 1008

If the multiplication of any two whole numbers is zero, can we say that one or both of the numbers must be zero? Give an example to prove it.

Match the following1. 425 × 136 = 425 × (6 + 30 + 100) ____ Commutativity under multiplication2. 2 × 49 × 50 = 2 × 50 × 49 ____ Commutativity under addition3. 80 + 2005 + 20 = 80 + 20 + 2005 ____Distributivity of multiplication over addition.

By multiplying and 1 to any number result obtained is

Is property of association applied for subtraction?

Match the following(i) 2 + 8 = 8 + 2(a) commutativity of multiplication(ii) 8 x 90 = 90 x 8(b) commutativity of addition(iii) 885 x (100 + 45) = 885 x 100 + 885 x 45(c) associative property of multiplication(iv) 5 x (4 x 28) = (5 x 4) x 28(d) multiplication distribution on addition

Take set of 3-3 numbers and test properties of associativity on the operations of addition and multiplication respectively.

Which operations of whole numbers follows commutativity and associativity?

Fill the following table with the successor and predecessor of the numbers provided.S.No.Natural numberPredecessorSuccessor1.1352.2373.999

Whole numbers closed under subtraction.

Is division and subtraction of whole numbers follows commutativity and Associativity

Which of the statements are true ( T ) and which are false ( F ). Correct the false statements.i) There is a natural number that has no predecessor.ii) Zero is the smallest whole number.iii) A whole number on the left of another number on the number line, is greater than that number.

Are the whole numbers closed under division?

Write the three whole numbers occurring just before 10001

Find the sum by suitable rearrangement:a. 837 + 208 + 363 = (837 + 363) + 208b. 1962 + 453 + 1538 + 647 = (1962 + 1538) + (453 + 647)

Choose the appropriate symbol from < or > and place it in the blanks. i) 8 ……. 7 ii) 5 ……. 2 iii) 0 ……. 1 iv) 10 ……. 5

Match the following1. 425 × 136 = 425 × (6 + 30 + 100) Commutativity under multiplication2. 2 × 49 × 50 = 2 × 50 × 49 Commutativity under addition3. 80 + 2005 + 20 = 80 + 20 + 2005 Distributivity of multiplication over addition.