InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
State, True or False :(i) The sum of two odd numbers is an odd number.(ii) The sum of two odd numbers is an even number.(iii) The sum of two even numbers is an even number.(iv) The sum of two even numbers is an odd number.(v) The sum of an even number and an odd number is odd number.(vi) Every whole number is a natural number.(vii) Every natural number is a whole number.(viii) Every whole number + 0 = The whole number itself.(ix) Every whole number x 1 = The whole number itself.(x) Commutativity and associativity are properties of natural numbers and whole numbers both.(xi) Commutativity and associativity are properties of addition for natural numbers and whole numbers both.(xii) If x is a whole number then -x is also a whole number. |
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Answer» (i) False. Correct: The sum of two odd numbers is an even number. (ii) True. (iii) True. (iv) False. Correct: The sum of two even numbers is an even number. (v) True. (vi) False. Correct: Every natural number is a whole number. (vii) True. (viii) True. (ix) True. (x) True. (xi) True. (xii) True. |
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| 2. |
12 x (9 – 6) = ………….. = ………….12 x 9 – 12 x 6 = …………. = …………….Is 12 x (9 – 6) = 12 x 9 – 12 x 6? ………….Is this type of result always true? ……………Name the property used here ………….. |
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Answer» 12 x (9-6)= 12 x 3 = 36 12 x 9- 12 x 6 = 108 – 72 = 36 Is 12 x (9 – 6) = 12 x 9 – 12 x 6 ? = Is this type of result always true? Yes Name the property used here Distributive property. |
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| 3. |
Is a + b + c = a + (b + c) = (b + a) + c? |
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Answer» Yes, because any set of three whole numbers if the sum of any two whole numbers is added to the third whole number, then whatever be their order, the sum will remain same |
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| 4. |
Which property of addition is satisfied by :(i) 8 + 7 = 15(ii) 3+ (5 + 4) = (3 + 5)+ 4(iii) 8 x (8 + 0) = 8 x 8 + 8 x 0(iv) (7 + 6) x 10 = 7 x 10 + 6 x 10(v) (15 – 12) x 18 = 15 x 18 – 12 x 18(vi) 16 + 0= 16(vii) 23 + (-23) = 0 |
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Answer» (i) 8 + 7=15 The property used as closure property satisfied by 15. (ii) 3+ (5 + 4) = (3 + 5)+ 4 3 +(5+ 4) = 3 + 9=12 and (3+ 5)+ 4 = 8 + 4=12 The property used as Associative law of addition satisfied by 12. (iii) 8 x (8 + 0) = 8 x 8 + 8 x 0 8 x (8 + 0) = 8 x 8 = 64 and 8 x 8 + 8 x 0 = 64 + 0 = 64 The property used as Distributive property over addition satisfied by 64. (iv) (7 + 6) x 10 = 7 x 10 + 6 x 10 (7 + 6) x 10= 13 x 10= 130 and 7 x 10 + 6 x 10 = 70 + 60 = 130 The property used as Distributive over addition satisfied by 130. (v) (15 – 12) x 18= 15 x 18- 12 x 18 (15 – 12) x 18 = 3 x 18 = 54 and 15 x 18 – 12 x 18 = 270 – 216 = 54 The property used as Distributive over subtraction satisfied by 54. (vi) 16 + 0=16 The property used as Existence of identity satisfied by 16 (vii) 23 + (-23) = 0 The property used as Additive inverse satisfied by 0. |
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| 5. |
(16 – 8) x 24 = ………….. = …………..16 x 24 – 8 x 24 = …….. – ……….. = ………..Is (16 – 8) x 24 = 16 x 24 – 8 x 24? …………..Is the type of result always true? ………….Name the property used here ……………… |
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Answer» (16 – 8) x 24 = 8 x 24 = 192 16 x 24 – 8 x 24 = 384 – 192 = 192 Is (16 – 8) x 24 = 16 x 24 – 8 x 24 ? Yes. Is the type of result always true? Yes Name the property used here Distributivity. |
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| 6. |
Fill in the blanks :(i) 42 x 0 = ……….(ii) 592 x 1 = ………..(iii) 328 x 573 = ……….. x 328(iv) 229 x ………… = 578 x 229(v) 32 x 15 = 32 x 6 + 32 x 7 + 32 x ……….(vi) 23 x 56 = 20 x 56 + ……… x 56(vii) 83 x 54 + 83 x 16 = 83 x ( ……….. ) = 83 x ………….. = …………(viii) 98 x 273 – 75 x 273 = ( …………. ) x 273 = ………… x 273 |
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Answer» (i) 42 x 0 = 0 (By closure property 0) (ii) 592 x 1 = 592 (By closure property 1) (iii) 328 x 573 = 573 x 328 (By commutative law of multiplication) (iv) 229 x 578 = 578 x 229 (By commutative law of multiplication) (v) 32 x 15 = 32 x 6 + 32 x 7 + 32 x 2 (By commutative law of multiplication) (vi) 23 x 56 = 20 x 56 + 3 x 56 (By Distributive law of multiplication) (vii) 83 x 54 + 83 x 16 = 83 x (54 + 16) = 83 x 70 = 5810 (viii) 98 x 273 – 75 x 273 = (98 – 75) x 273 = 23 x 273 |
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| 7. |
Fill in the blanks : (i) Smallest natural number is ………….. (ii) Smallest whole number is ………… (iii) Largest natural number is ………… (iv) Largest whole number is ……….. (v) All natural numbers are ………… (vi) All whole numbers are not ………… (vii) Successor of 4099 is ………….. (viii) Predecessor of 4330 is ……………. |
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Answer» (i) Smallest natural number is 1 (ii) Smallest whole number is 0 (iii) Largest natural number is cannot be obtained (iv) Largest whole number is cannot be obtained (v) All natural numbers are whole numbers (vi) All whole numbers are not natural numbers (vii) Successor of 4099 is 4099 + 1 = 4100 (viii) Predecessor of 4330 is 4330 – 1 = 4329 |
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| 8. |
Fill in the blanks :(i) (437 + 3) x (400 – 3) = 397 x ……….(ii) 66 + 44 + 22 = 11 x (………..) = 11 x ………. |
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Answer» (i) (437 + 3) x (400 – 3) = 397 x 440 (ii) 66 + 44 + 22 = 11 x (6 + 4 + 2) = 11 x 12 = 132 |
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| 9. |
Fill in the blanks :(i) 987 + 1 = …………(ii) 0 + 987 = ……….(iii) 336 – (888 + 888) = ……….(iv) (23 + 23) – (437 + 437) = ……… |
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Answer» (i) 987 ÷ 1 = 987 (ii) 0 ÷ 987 = 0 (iii) 336 – (888 + 888) = 335 (iv) (23 + 23) – (437 + 437) = 0 |
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| 10. |
Which of the following statements are true ?(i) 12 ÷ (6 x 2) = (12 ÷ 6) x (12 ÷ 2)(ii) a ÷ (b – c) = (a/b) - (a/c)(iii) (a – b) ÷ c = (a/c) - (b/c)(vi) (15 – 13) ÷ 8 = (15 ÷ 8) – (13 ÷ 8)(v) 8 ÷ (15 – 13) = (8/15) - (8/13) |
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Answer» (iii) and (iv) are true. |
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| 11. |
Find the difference between the largest number of four digits and the smallest number of six digits. |
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Answer» Largest number of four digits = 9999 and, smallest number of six digits = 100000 Difference = 100000 – 9999 = 90001 |
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| 12. |
Find the product of the :(i) greatest number of three digits and smallest number of five digits.(ii) greatest number of four digits and the greatest number of three digits. |
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Answer» (i) Greatest number of three digits = 999 and Smallest number of five digits = 10000 Required product = 999 x 10000 = 9990000 (ii) Greatest number of four digits = 9999 and Greatest number of three digits = 999 Required product = 9999 x 999 = 9999 x (1000 – 1) = 9999 x 1000 – 9999 x 1 (using distributivity) = (10000- 1) x 1000 – (10000- 1) x 1 = 10000 x 1000 – 1 x 1000 – 10000 + 1 = 10000000 – 1000 – 10000 + 1 = 10000001 – 11000 = 9989001 |
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| 13. |
Find the difference between the smallest number of eight digits and the largest number of five digits. |
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Answer» Smallest number of eight digits = 10000000 and, largest number of five digits = 99999 Difference = 10000000 – 99999 = 9900001 |
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| 14. |
The product of two numbers is 528. If the product of their unit’s digits is 8 and the product of their ten’s digits is 4 ; find the numbers. |
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Answer» Product of unit’s digit = 8 = 2 x 4 Unit’s digits are 2 and 4 Thus, the numbers are either 24 and 22 24 x 22 = 528 The required numbers are 528 |
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| 15. |
Does there exist a number a such that a ÷ a = a ? |
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Answer» Yes, A number a is 1 a ÷ a = a 1 ÷ 1 = 1 |
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| 16. |
(i) 1 x 9 + 1 = 1012 x 9 + 2 = 110123 x 9 + 3 = 1110(ii) 9 x 9 + 7 = 8898 x 9 + 6 = 888987 x 9 + 5 = 8888(iii) 1 x 8 + 1 = 912 x 8 + 2 = 98123 x 8 + 3 = 987(iv) 111 ÷ 3 = 37222 ÷ 6 = 37333 ÷ 9 = 37 |
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Answer» (i) 1 x 9 + 1 = 10 12 x 9 + 2 = 110 123 x 9 + 3 = 111O 1234 x 9 + 4 = 11110 12345 x 9 + 5 = 111110 123456 x 9 + 6 = 1111110 (ii) 9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888 9876 x 9 + 4 = 88888 98765 x 9 + 3 = 888888 987654 x 9 + 2 = 8888888 (iii) 1 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 x 8 + 4 = 9876 12345 x 8 + = 98765 123456 x 8 + 6 = 987654 (iv) 111 ÷ 3 = 37 222 ÷ 6 = 37 333 ÷ 9 = 37 444 ÷ 12 =37 555 ÷ 15 = 37 666 ÷ 18 =37 |
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| 17. |
Use distributive law to evaluate :(i) 984 x 102(ii) 385 x 1004(iii) 446 x 10002 |
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Answer» (i) 984 x 102 = 984 x (100 + 2) = 984 x 100 x 984 x 2 = 98400 + 1968 = 100,368 (ii) 385 x 1004 = 385 x (1000 + 4) = 385 x 1000 x 385 x 4 = 385000 + 1540 = 386540 (iii) 446 x 10002 = 446 x (10000 + 2) = 446 x 10000 x 446 x 2 = 4460000 + 892 = 4460892 |
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| 18. |
State, true or false : (i) Whole number are closed for addition. (ii) If a and b are any two whole numbers, then a + b is not a whole number. (iii) If a and b are any two whole numbers, then a + b = b + a (iv) 0 + 18= 18 + 0 (v) Addition of whole numbers is associative. (vi) 10 + 12 + 16 = (10 + 12) + 16 = 10 + (12 + 16) |
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Answer» (i) True (ii) True (iii) True (iv) True (v) True (vi) True |
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| 19. |
Write the identify number, if possible for subtraction. |
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Answer» It is not possible to identify the number. |
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