Page 1 Objective Type Questions PAGE: 4.24 Mark the correct alternative in each of the following: 1. Which one of the following is the smallest whole number? (a) 1 (b) 2 (c) 0 (d) None of these Solution: The option (c) is correct answer. We know that the set of whole numbers is {0, 1, 2, 3, 4 ...}. Hence, the smallest whole number is 0. 2. Which one of the following is the smallest even whole number? (a) 0 (b) 1 (c) 2 (d) None of these Solution: The option (c) is correct answer. We know that the natural numbers along with 0 form the collection of whole numbers. Hence, the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. So the number which is divisible by 2 is an even number and 2 is the smallest even number. 3. Which one of the following is the smallest odd whole number? (a) 0 (b) 1 (c) 3 (d) 5 Solution: The option (b) is correct answer. We know that the natural numbers along with 0 form the collection of whole numbers. Hence, the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. So the natural number which is not divisible by 2 is called an odd whole number and 1 is the smallest odd whole number. 4. How many whole numbers are between 437 and 487? (a) 50 (b) 49 (c) 51 (d) None of these Solution: The option (b) is correct answer. We know that the whole numbers between 437 and 487 are 438, 439, 440, 441, ..., 484, 485 and 486. In order to find the required number of whole numbers subtract 437 from 487 and then subtract again 1. Hence, there are (487 - 437) - 1 whole numbers lying between 437 and 487. So we get (487 - 437) - 1 = 50 - 1 = 49 5. The product of the successor of 999 and the predecessor of 1001 is (a) one lakh (b) one billion (c) one million (d) one crore Solution: The option (c) is correct answer. We know that the successor of 999 = 999 + 1 = 1000 So the predecessor of 1001 = 1001 - 1 = 1000 It can be written as Product of them = (Successor of 999) × (Predecessor of 1001) Page 2 Objective Type Questions PAGE: 4.24 Mark the correct alternative in each of the following: 1. Which one of the following is the smallest whole number? (a) 1 (b) 2 (c) 0 (d) None of these Solution: The option (c) is correct answer. We know that the set of whole numbers is {0, 1, 2, 3, 4 ...}. Hence, the smallest whole number is 0. 2. Which one of the following is the smallest even whole number? (a) 0 (b) 1 (c) 2 (d) None of these Solution: The option (c) is correct answer. We know that the natural numbers along with 0 form the collection of whole numbers. Hence, the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. So the number which is divisible by 2 is an even number and 2 is the smallest even number. 3. Which one of the following is the smallest odd whole number? (a) 0 (b) 1 (c) 3 (d) 5 Solution: The option (b) is correct answer. We know that the natural numbers along with 0 form the collection of whole numbers. Hence, the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. So the natural number which is not divisible by 2 is called an odd whole number and 1 is the smallest odd whole number. 4. How many whole numbers are between 437 and 487? (a) 50 (b) 49 (c) 51 (d) None of these Solution: The option (b) is correct answer. We know that the whole numbers between 437 and 487 are 438, 439, 440, 441, ..., 484, 485 and 486. In order to find the required number of whole numbers subtract 437 from 487 and then subtract again 1. Hence, there are (487 - 437) - 1 whole numbers lying between 437 and 487. So we get (487 - 437) - 1 = 50 - 1 = 49 5. The product of the successor of 999 and the predecessor of 1001 is (a) one lakh (b) one billion (c) one million (d) one crore Solution: The option (c) is correct answer. We know that the successor of 999 = 999 + 1 = 1000 So the predecessor of 1001 = 1001 - 1 = 1000 It can be written as Product of them = (Successor of 999) × (Predecessor of 1001) By substituting the values Product of them = 1000 × 1000 = 1000000 = one million 6. Which one of the following whole numbers does not have a predecessor? (a) 1 (b) 0 (c) 2 (d) None of these Solution: The option (b) is correct answer. We know that the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. Hence, the smallest whole number is 0 which does not have a predecessor. 7. The number of whole numbers between the smallest whole number and the greatest 2-digit number is (a) 101 (b) 100 (c) 99 (d) 98 Solution: The option (d) is correct answer. We know that the smallest whole number = 0 So the greatest 2 digit whole number = 99 Whole numbers which lie between 0 and 99 are 1, 2, 3, 4,..., 97, 98. In order to find the number of whole numbers between 0 and 99, first subtract 1 from the difference of 0 and 99. So the number of whole numbers between 0 and 99 = (99 - 0) - 1 = 99 - 1 = 98 8. If n is a whole number such that n + n = n, then n =? (a) 1 (b) 2 (c) 3 (d) None of these Solution: The option (d) is correct answer. We know that 0 + 0 = 0, 1 + 1 = 2, 2 + 2 = 4.... Hence, the statement n + n = n is true only when n = 0. 9. The predecessor of the smallest 3-digit number is (a) 999 (b) 99 (c) 100 (d) 101 Solution: The option (b) is correct answer. We know that the smallest 3 digit number = 100 So the predecessor of 3 digit number = 100 - 1 = 99 10. The least number of 4-digits which is exactly divisible by 9 is (a) 1008 (b) 1009 (c) 1026 (d) 1018 Solution: The option (a) is correct answer. We know that the least 4-digit number = 1000 Hence, the least 4-digits which is exactly divisible by 9 is 1000 + (9 - 1) = 1008 11. The number which when divided by 53 gives 8 as quotient and 5 as remainder is (a) 424 (b) 419 (c) 429 (d) None of these Solution: Page 3 Objective Type Questions PAGE: 4.24 Mark the correct alternative in each of the following: 1. Which one of the following is the smallest whole number? (a) 1 (b) 2 (c) 0 (d) None of these Solution: The option (c) is correct answer. We know that the set of whole numbers is {0, 1, 2, 3, 4 ...}. Hence, the smallest whole number is 0. 2. Which one of the following is the smallest even whole number? (a) 0 (b) 1 (c) 2 (d) None of these Solution: The option (c) is correct answer. We know that the natural numbers along with 0 form the collection of whole numbers. Hence, the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. So the number which is divisible by 2 is an even number and 2 is the smallest even number. 3. Which one of the following is the smallest odd whole number? (a) 0 (b) 1 (c) 3 (d) 5 Solution: The option (b) is correct answer. We know that the natural numbers along with 0 form the collection of whole numbers. Hence, the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. So the natural number which is not divisible by 2 is called an odd whole number and 1 is the smallest odd whole number. 4. How many whole numbers are between 437 and 487? (a) 50 (b) 49 (c) 51 (d) None of these Solution: The option (b) is correct answer. We know that the whole numbers between 437 and 487 are 438, 439, 440, 441, ..., 484, 485 and 486. In order to find the required number of whole numbers subtract 437 from 487 and then subtract again 1. Hence, there are (487 - 437) - 1 whole numbers lying between 437 and 487. So we get (487 - 437) - 1 = 50 - 1 = 49 5. The product of the successor of 999 and the predecessor of 1001 is (a) one lakh (b) one billion (c) one million (d) one crore Solution: The option (c) is correct answer. We know that the successor of 999 = 999 + 1 = 1000 So the predecessor of 1001 = 1001 - 1 = 1000 It can be written as Product of them = (Successor of 999) × (Predecessor of 1001) By substituting the values Product of them = 1000 × 1000 = 1000000 = one million 6. Which one of the following whole numbers does not have a predecessor? (a) 1 (b) 0 (c) 2 (d) None of these Solution: The option (b) is correct answer. We know that the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. Hence, the smallest whole number is 0 which does not have a predecessor. 7. The number of whole numbers between the smallest whole number and the greatest 2-digit number is (a) 101 (b) 100 (c) 99 (d) 98 Solution: The option (d) is correct answer. We know that the smallest whole number = 0 So the greatest 2 digit whole number = 99 Whole numbers which lie between 0 and 99 are 1, 2, 3, 4,..., 97, 98. In order to find the number of whole numbers between 0 and 99, first subtract 1 from the difference of 0 and 99. So the number of whole numbers between 0 and 99 = (99 - 0) - 1 = 99 - 1 = 98 8. If n is a whole number such that n + n = n, then n =? (a) 1 (b) 2 (c) 3 (d) None of these Solution: The option (d) is correct answer. We know that 0 + 0 = 0, 1 + 1 = 2, 2 + 2 = 4.... Hence, the statement n + n = n is true only when n = 0. 9. The predecessor of the smallest 3-digit number is (a) 999 (b) 99 (c) 100 (d) 101 Solution: The option (b) is correct answer. We know that the smallest 3 digit number = 100 So the predecessor of 3 digit number = 100 - 1 = 99 10. The least number of 4-digits which is exactly divisible by 9 is (a) 1008 (b) 1009 (c) 1026 (d) 1018 Solution: The option (a) is correct answer. We know that the least 4-digit number = 1000 Hence, the least 4-digits which is exactly divisible by 9 is 1000 + (9 - 1) = 1008 11. The number which when divided by 53 gives 8 as quotient and 5 as remainder is (a) 424 (b) 419 (c) 429 (d) None of these Solution: The option (c) is correct answer. It is given that Divisor = 53, Quotient = 8 and Remainder = 5. By using the relation we get Dividend = Divisor × Quotient + Remainder By substituting the values Dividend = 53 × 8 + 5 = 424 + 5 =429 Hence, the required number is 429. 12. The whole number n satisfying n + 35 = 101 is (a) 65 (b) 67 (c) 64 (d) 66 Solution: The option (d) is correct answer. It is given that n + 35 = 101 By adding - 35 on both sides n + 35 + (- 35) = 101 + (- 35) On further calculation n + 0 = 66 So we get n = 66 13. The 4 × 378 × 25 is (a) 37800 (b) 3780 (c) 9450 (d) 30078 Solution: The option (a) is correct answer. We can write it as 4 × 378 × 25 = 4 × 25 × 378 On further calculation 4 × 378 × 25 = 100 × 378 = 37800 14. The value of 1735 × 1232 - 1735 × 232 is (a) 17350 (b) 173500 (c) 1735000 (d) 173505 Solution: The option (c) is correct answer. By using the distributive law of multiplication over subtraction 1735 × 1232 - 1735 × 232 = 1735(1232 - 232) On further calculation 1735 × 1232 - 1735 × 232 = 1735 × 1000 = 1735000 15. The value of 47 × 99 is (a) 4635 (b) 4653 (c) 4563 (d) 6453 Solution: The option (b) is correct answer. It can be written as 99 = 100 - 1 Page 4 Objective Type Questions PAGE: 4.24 Mark the correct alternative in each of the following: 1. Which one of the following is the smallest whole number? (a) 1 (b) 2 (c) 0 (d) None of these Solution: The option (c) is correct answer. We know that the set of whole numbers is {0, 1, 2, 3, 4 ...}. Hence, the smallest whole number is 0. 2. Which one of the following is the smallest even whole number? (a) 0 (b) 1 (c) 2 (d) None of these Solution: The option (c) is correct answer. We know that the natural numbers along with 0 form the collection of whole numbers. Hence, the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. So the number which is divisible by 2 is an even number and 2 is the smallest even number. 3. Which one of the following is the smallest odd whole number? (a) 0 (b) 1 (c) 3 (d) 5 Solution: The option (b) is correct answer. We know that the natural numbers along with 0 form the collection of whole numbers. Hence, the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. So the natural number which is not divisible by 2 is called an odd whole number and 1 is the smallest odd whole number. 4. How many whole numbers are between 437 and 487? (a) 50 (b) 49 (c) 51 (d) None of these Solution: The option (b) is correct answer. We know that the whole numbers between 437 and 487 are 438, 439, 440, 441, ..., 484, 485 and 486. In order to find the required number of whole numbers subtract 437 from 487 and then subtract again 1. Hence, there are (487 - 437) - 1 whole numbers lying between 437 and 487. So we get (487 - 437) - 1 = 50 - 1 = 49 5. The product of the successor of 999 and the predecessor of 1001 is (a) one lakh (b) one billion (c) one million (d) one crore Solution: The option (c) is correct answer. We know that the successor of 999 = 999 + 1 = 1000 So the predecessor of 1001 = 1001 - 1 = 1000 It can be written as Product of them = (Successor of 999) × (Predecessor of 1001) By substituting the values Product of them = 1000 × 1000 = 1000000 = one million 6. Which one of the following whole numbers does not have a predecessor? (a) 1 (b) 0 (c) 2 (d) None of these Solution: The option (b) is correct answer. We know that the numbers 0, 1, 2, 3, 4 ... form the collection of whole numbers. Hence, the smallest whole number is 0 which does not have a predecessor. 7. The number of whole numbers between the smallest whole number and the greatest 2-digit number is (a) 101 (b) 100 (c) 99 (d) 98 Solution: The option (d) is correct answer. We know that the smallest whole number = 0 So the greatest 2 digit whole number = 99 Whole numbers which lie between 0 and 99 are 1, 2, 3, 4,..., 97, 98. In order to find the number of whole numbers between 0 and 99, first subtract 1 from the difference of 0 and 99. So the number of whole numbers between 0 and 99 = (99 - 0) - 1 = 99 - 1 = 98 8. If n is a whole number such that n + n = n, then n =? (a) 1 (b) 2 (c) 3 (d) None of these Solution: The option (d) is correct answer. We know that 0 + 0 = 0, 1 + 1 = 2, 2 + 2 = 4.... Hence, the statement n + n = n is true only when n = 0. 9. The predecessor of the smallest 3-digit number is (a) 999 (b) 99 (c) 100 (d) 101 Solution: The option (b) is correct answer. We know that the smallest 3 digit number = 100 So the predecessor of 3 digit number = 100 - 1 = 99 10. The least number of 4-digits which is exactly divisible by 9 is (a) 1008 (b) 1009 (c) 1026 (d) 1018 Solution: The option (a) is correct answer. We know that the least 4-digit number = 1000 Hence, the least 4-digits which is exactly divisible by 9 is 1000 + (9 - 1) = 1008 11. The number which when divided by 53 gives 8 as quotient and 5 as remainder is (a) 424 (b) 419 (c) 429 (d) None of these Solution: The option (c) is correct answer. It is given that Divisor = 53, Quotient = 8 and Remainder = 5. By using the relation we get Dividend = Divisor × Quotient + Remainder By substituting the values Dividend = 53 × 8 + 5 = 424 + 5 =429 Hence, the required number is 429. 12. The whole number n satisfying n + 35 = 101 is (a) 65 (b) 67 (c) 64 (d) 66 Solution: The option (d) is correct answer. It is given that n + 35 = 101 By adding - 35 on both sides n + 35 + (- 35) = 101 + (- 35) On further calculation n + 0 = 66 So we get n = 66 13. The 4 × 378 × 25 is (a) 37800 (b) 3780 (c) 9450 (d) 30078 Solution: The option (a) is correct answer. We can write it as 4 × 378 × 25 = 4 × 25 × 378 On further calculation 4 × 378 × 25 = 100 × 378 = 37800 14. The value of 1735 × 1232 - 1735 × 232 is (a) 17350 (b) 173500 (c) 1735000 (d) 173505 Solution: The option (c) is correct answer. By using the distributive law of multiplication over subtraction 1735 × 1232 - 1735 × 232 = 1735(1232 - 232) On further calculation 1735 × 1232 - 1735 × 232 = 1735 × 1000 = 1735000 15. The value of 47 × 99 is (a) 4635 (b) 4653 (c) 4563 (d) 6453 Solution: The option (b) is correct answer. It can be written as 99 = 100 - 1 So we get 47 × 99 = 47 × (100 - 1) On further calculation 47 × 99 = 47× 100 – 47 = 4700 – 47 = 4653 Hence, the value of 47 × 99 is 4653.Read More

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