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1. The remainder, when (15 23+23 23) is divided by 19 isA. 4B. 15

C. 0D. 18

2. Let S be a set of positive integers such that every element n of S satisfies the conditions(i) 1000

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6. A certain basketball team that has played 2/3 of its games has a record of 17 games has arecord of 17 wins and 3 losses. What is the greatest number of the remaining games that theteam can lose and still win at least 3/4 of the total games played ?A. 4B. 7C. 5D. 6

7. Consider the equation 5x+9Y=161 such that x,y belongs to integers. Find the solution for xand y such that -40

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12. If the roots of the if the roots of the equation ax 2+bx+c=0 are in the ratio m:n, then find(m/n)+(n/m) given a=b

A. (ac-2)/a

B. (a/c)-2C. (a-2c)/aD. (c/a)-2E. None of these

13. How many valus of k are possible for which the equation x 2-7x=k=0 for both its roots lying inthe interval (-3,3)

A. 2B. 3C. 1D. 4E. 0

14. Of the square root of twice a certain number is as much greater than 8 as it is less than 32find the numberA. 40B. 1600C. 50D. 800E. 600

15. 2x2-3x+k=0 and x 2-5x-3k=0 have a common root for some value of k find the common rootA. -1/2B. C. 1D. 3/2

E. 216. If 3x+3=3x+4-486, find the value of x

A. 1B. 5C. 3D. 4E. 2

17. Sridhar borrowed a certain a sum at 7% p.a simple interest and repaid Rs. 17,545 after 3years to clear the loan what was the sum borrowedA. 4032

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B. 4320C. 3840D. 3600E. 5046

18. Find the arithmetic mean of 4 3 ,5 3 ,63 , 7 3 and 8 3 A. 260B. 522C. 252D. 225E. 240