**Free Online Arrangement of Numbers/Symbols/Letters Quiz Test, Page 1**

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- Question 1 of 20
##### 1. Question

1 points**Find the sum of the smallest four-digit number and the largest five-digit number.**Correct**The smallest four-digit number = 1000****The largest five-digit number = 99999****Required sum = 100999**Incorrect - Question 2 of 20
##### 2. Question

1 points**A positive integer which when added to 999 gives a sum which is greater than when it is multiplied by 999. Which of the following could be the value of the positive integer?**Correct**Let the positive integer =***x***Then, 999 +***x*> 999*x***By Trial and error when***x*= 1**1000 > 999****So, the required positive integer is 1.**Incorrect - Question 3 of 20
##### 3. Question

1 points**What is the total number of primers less than 100?**Correct**The prime numbers less than 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. These add upto 25.**Incorrect - Question 4 of 20
##### 4. Question

1 points**If 43***p***is divisible by 3, then what is the largest value***p***can take?**Correct**A number is divisible by 3 when sum of the digits is divisible by 3.****4 + 3 +***P*= 7 +*P***So,***P*can be 2, 5, 8. So the largest value is 8.Incorrect - Question 5 of 20
##### 5. Question

1 points**If the number 6***pq*5 is divisible by both 3 and 5, which of the following digits can replace*p*and*q*?Correct**If***p*is 9 and*q*is 7. The number is 6975. 6975 is divisible by both 3 and 5.Incorrect - Question 6 of 20
##### 6. Question

1 points**There are four prime numbers written in ascending order. The product of the first three is 1001 and that of the last three is 2431. Find the first prime number.** - Question 7 of 20
##### 7. Question

1 points**What is the remainder when 152 × 698 is divided by 5.**Correct**The remainder when 152 is divided by 5 = 2****The remainder when 698 is divided by 5 = 3****Their product = 2****×****3 = 6****The remainder when 6 is divided by 5 = 1.**Incorrect - Question 8 of 20
##### 8. Question

1 points**What is the remainder when 75**^{3 }is divided by 4?Correct**The remainder when 75 is divided by 4 is 3.****The remainder when 3****×****3****×****3 is divided by 4 is 3.****So, the required remainder is 3.**Incorrect - Question 9 of 20
##### 9. Question

1 points**What is the remainder when 41**^{2 }× 36^{3 }× 31^{2 }is divided by 15?Correct**41, 36 and 31 when divided by 15, leave remainders 11, 6 and 1 respectively.****41**^{2}× 36^{3}× 31^{2 }when divided by 15, leaves remainder**11**^{2}× 6^{3}× 1^{2}=26136.**As remainder cannot exceed the divisor.****Remainder is 6***ie,*remainder obtained on dividing 26136 by 15.Incorrect - Question 10 of 20
##### 10. Question

1 points**Find the largest four digit number exactly divisible by 55.** - Question 11 of 20
##### 11. Question

1 points**Find the sum of the smallest four-digit number and the largest five-digit number.**Correct**The smallest four-digit number = 1000****The largest five-digit number = 99999****Required sum = 100999**Incorrect - Question 12 of 20
##### 12. Question

1 points**A positive integer which when added to 999 gives a sum which is greater than when it is multiplied by 999. Which of the following could be the value of the positive integer?**Correct**Let the positive integer =***x***Then, 999 +***x*> 999*x***By Trial and error when***x*= 1**1000 > 999****So, the required positive integer is 1.**Incorrect - Question 13 of 20
##### 13. Question

1 points**What is the total number of primers less than 100?**Correct**The prime numbers less than 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. These add up to 25.**Incorrect - Question 14 of 20
##### 14. Question

1 points**If 43***p***is divisible by 3, then what is the largest value***p***can take?**Correct**A number is divisible by 3 when sum of the digits is divisible by 3.****4 + 3 +***P*= 7 +*P***So,***P*can be 2, 5, 8. So the largest value is 8.Incorrect - Question 15 of 20
##### 15. Question

1 points**If the number 6***pq*5 is divisible by both 3 and 5, which of the following digits can replace*p*and*q*?Correct**If***p*is 9 and*q*is 7. The number is 6975. 6975 is divisible by both 3 and 5.Incorrect - Question 16 of 20
##### 16. Question

1 points**There are four prime numbers written in ascending order. The product of the first three is 1001 and that of the last three is 2431. Find the first prime number.** - Question 17 of 20
##### 17. Question

1 points**What is the remainder when 152 × 698 is divided by 5.**Correct**The remainder when 152 is divided by 5 = 2****The remainder when 698 is divided by 5 = 3****Their product = 2****×****3 = 6****The remainder when 6 is divided by 5 = 1**Incorrect - Question 18 of 20
##### 18. Question

1 points**What is the remainder when 75**^{3 }is divided by 4?Correct**The remainder when 75 is divided by 4 is 3.****The remainder when 3****×****3****×****3 is divided by 4 is 3.****So, the required remainder is 3.**Incorrect - Question 19 of 20
##### 19. Question

1 points**What is the remainder when 41**^{2 }× 36^{3 }× 31^{2 }is divided by 15?Correct**41, 36 and 31 when divided by 15, leave remainders 11, 6 and 1 respectively.****41**^{2}× 36^{3}× 31^{2 }when divided by 15, leaves remainder**11**^{2}× 6^{3}× 1^{2}=26136.**As remainder cannot exceed the divisor.****Remainder is 6***ie,*remainder obtained on dividing 26136 by 15.Incorrect - Question 20 of 20
##### 20. Question

1 points**Find the largest four digit number exactly divisible by 55.**

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