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If 0ltxlt1000 and [x/2]+[x/3]+[x/5]=31/...

If `0ltxlt1000` and
`[x/2]+[x/3]+[x/5]=31/30x`, where [x] is the greatest interger less than or equal to x, the number of possible values of x is

A

34

B

32

C

33

D

None of these

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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Solve abs([x]-2x)=4

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  2. Solve (x)^2+(x+1)^2=25 {where (x) denotes the least integer function}

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  3. If 0ltxlt1000 and [x/2]+[x/3]+[x/5]=31/30x, where [x] is the greatest...

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  4. Resolve x^2/((x-1)(x-2)(x-3)) into partial fractions.

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  5. Resolve (x^4-x^2+1)/(x^2(x^2+1)^2 into partial fractions.

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  6. Resolve (2x^2-11x+5)/((x-3)(x^2+2x+5)) into partial fractions.

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  7. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  8. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  9. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  10. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  11. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  12. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  13. If A={a,b,c,d,e}:B={c,d,e,f,g} and S={a,b,c,d,e,f,g,h,i,j}. Then evalu...

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  14. Find AcupB,A capB,A-B and B-A If A={x, x in R} : B = {x,absx le3}

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  15. In a set S contains n elements. Find the total no. of non void subject...

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  16. Consider a number N=21P53Q4 .Number of ordered pairs (P,Q) so that the...

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  17. Consider a number n=21P53Q4.Number of values of Q so that the number '...

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  18. Consider a number N=21P53Q4. Number of ordered pairs (P,Q) so that the...

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  19. If A and B are two rational number and AB, (A+B) and (A-B) are rationa...

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  20. If x,y,z, are real and distinct number, then the value of ((x-y)^3+...

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