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The smallest natural number of the form ...

The smallest natural number of the form `123x43y`, which is exactly divisible by `6` is

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let R be a relation defined by R={(x , xhat3)X is a prime number <10} ...

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  2. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is such that its has th...

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  3. The smallest natural number of the form 123x43y, which is exactly divi...

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  4. Using properties of sets, show that (i) A uu(" "A nnB)" "=" "A (ii...

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  5. The coefficient of t^24 in (1+t^2)^12(1+t^12)(1+t^24) is a. 12C6+3 b...

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  6. Which of the following when simplified reduces to unity? (log)(3/2)(l...

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  7. For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two ...

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  8. Determine the empty sets, singleton sets and pair sets in the followin...

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  9. ABCD is a quadrilateral in which and/D A B"\ "=/C B A (see Fig. 7.1...

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  10. If P(x(1),y(1)) is a point on the hyperbola x^(2)-y^(2)=a^(2), then SO...

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  11. There are 11 teachers who teach Mathematics or Physics in a school, Of...

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  12. The variance of 30 observations is 5. If each observation is multip...

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  13. Find the value of C D in terms of x , in the adjoining figure, wher...

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  14. If Aa n dB are two sets such that n(A)=150 ,n(B)=250 a n d n(AuuB)=300...

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  15. Let 3 non-zero distinct real numbers be in A.P. and their squares in...

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  16. In the adjoining figure find that value of a +b if angleDBE = 90^@

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  17. Find the smallest positive number p for which the equation cos (p sin...

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  18. Find the number ways in which 3 men and their wives can be arranged in...

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  19. OABC is a rhombus whose three vertices A,B and C lie on a cricle with ...

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  20. The function f:[-1//2,\ 1//2]->[-pi//2,pi//2\ ] defined by f(x)=s in^(...

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