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The remainder on dividing 5^(99) by 11 i...

The remainder on dividing `5^(99)` by `11` is

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. .Let alpha>0, be the smallest number such that the expansion of (x^((2...

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  2. Let theta be the angle between the planes P(1):vec r . (hat i+hat j+2h...

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  3. The remainder on dividing 5^(99) by 11 is

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  4. Let a(1),a(2),...., an be in A.P.If a(5)=2a(7) and a(11)=18,then 12((...

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  5. If the variance of the frequency distribution. is 3, then alpha is e...

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  6. Let vec a and vec b be two vector such that |vec a|=sqrt(14),|vec b|=s...

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  7. Let the line L:(x-1)/(2)=(y+1)/(-1)=(z-3)/(1) intersect the plane 2x+y...

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  8. Let 5 digit numbers be constructed using the digits 0,2,3,4,7,9 with r...

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  9. Number of 4 -digit numbers that are less than or equal to 2800 and eit...

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  10. Let for x in R, f(x)=(x+|x|)/(2) and g(x)={(x, x<0),(x^(2),xge0):} Th...

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  11. If phi(x)=(1)/(sqrt(x))int(pi/4)^(x)(4sqrt(2)sin t-3 phi'(t))dt,x>0, t...

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  12. .Let y=y(x) be the solution of the differential equation (3y^(2)-5x^(2...

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  13. The foot of perpendicular from the origin O to a plane P which meets t...

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  14. The set of all values of a^(2) for which the line x+y=0 bisects two di...

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  15. Let alpha>0.If int(0)^(alpha)(x)/(sqrt(x+alpha)-sqrt(x))dx=(16+20sqrt(...

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  16. Let a(1),a(2),a(3),...... be an A.P.If a7=3,the product (a(1),a(4)) is...

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  17. lim(x rarr oo)(((sqrt(3x+1)+sqrt(3x-1))^(6)+(sqrt(3x+1)-sqrt(3x-1))^6)...

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  18. Let H be the hyperbola,whose foci are (1+-sqrt(2),0) and eccentricity ...

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  19. The number of values of r in {p,q,~p,~q} for which (p^^q)implies (r vv...

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  20. Among the relations S={(a,b):a,b in R-{0},2+(a)/(b)>0} and T={(a,b):a...

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