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A person forgets his 4-digit ATM pin cod...

A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is 7 and the sum of the first two digits is equal to the sum of the last two digits. Then the maximum number of trials necessary to obtain the correct code is _______

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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  3. Let S be the set of all values of lamda, for which the shortest distan...

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  4. Let the system of linear equations -x+2y-9z=7 -x+3y+7z=9 -2x+y+5z=8 -3...

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  5. Let [x] denote the greatest integer function and f(x) =max {1+x+[x], 2...

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  6. The number of real roots of the equation xabs(x) - 5abs(x + 2) +6=0,is

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  7. Let the determinant of a square matrix A of order m be m-n, where m an...

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  8. Negation of p wedge (q wedge ~(p wedge q))

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  9. If (alpha, beta) is the orthocenter of the triangle ABC with vertices ...

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  10. Let A2 and A2 be two arithmetic means and G1, G2, G3 be three geometri...

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  11. Consider the triangles with vertices A(2,1), B(0, 0) and C(t, 4), t in...

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  12. If the line x = y =z intersects the line xsinA+ysinB+zsinC-18=0=xsin2A...

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  13. A person forgets his 4-digit ATM pin code. But he remembers that in th...

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  14. Let f(x)=int (dx)/((3+4x^2)sqrt(4-3x^2)), abs(x) lt 2/sqrt3. If f(0)=0...

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  15. If the sum of the series (1/2-1/3)+(1/2^2-1/(2.3)+1/3^2)+(1/2^3-1/(2^2...

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  16. If the area bounded by the curve 2y^2 = 3x, lines x+y =3, y =0 and out...

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  17. Let an ellipse with centre (1, 0) and latus rectum of length 1/2 have ...

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  18. Let A= {1 2, 3,4] and R be a relation on the set A xx A defined by R= ...

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  19. Let the plane P contain the line 2x+y-2z-3=0 = 5x-3y+42+9 and be paral...

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  20. The number of elements in the set {n in NN:10 le n le 100 and 3^n -3 i...

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