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An army contingent of 612 members is to ...

An army contingent of 612 members is to march behind an army band of 48 members in a parade. The two groups are to march in the same number fo columns. What is the maximum number of columns in which they can march ?

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To determine the maximum number of columns in which both the army contingent and the army band can march, we need to find the greatest common divisor (GCD) of the two numbers: 612 and 48. ### Step 1: Find the prime factorization of both numbers. **For 612:** 1. Divide by 2: \( 612 \div 2 = 306 \) 2. Divide by 2 again: ...
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RS AGGARWAL-REAL NUMBERS-Test Youself
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  3. which of the following has a terminating decimal expansion ?

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  4. On dividing a positive integers n by 9, we get 7 as remainder. What w...

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  5. 0.overline(68) + 0. overline(73) = ?

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  6. Show that any number of the form 4^(n),n ne N can never end with the...

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  7. The HCF of two numbers is 27 and their LCM is 162. if one of numbers i...

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  8. Examine whether 17/30 is a terminating decimal

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  9. Find the simplest form of 148/185

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  10. Which of the following numbers are irrational ? (a) sqrt2 (b) root3...

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  11. prove that (2 +sqrt3) is irrational.

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  12. Find the HCF and LCM of 12, 15, 18, 27

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  13. Give an example of two irrational numbers whose sum is rational

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  14. Give prime factrisation of 4620.

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  15. Find the HCF of 1008 and 1080 by prime factorisation method.

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  16. Find the HCF and LCM of 8/9 , 10/29 and 16/81

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  17. Find the largest number which divides 546 and 764 leaving remainders 6...

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  18. Prove that sqrt(3) is an irrational number.

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  19. Show that every positivee odd integer is the form ( 4q +1) , or ( 4q +...

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  20. Show that one and only one out of n,( n+2) and ( n +4) is divisble by ...

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  21. Show that (4 +3sqrt2) is irrational.

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