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KVPY PREVIOUS YEAR-MOCK TEST 3-EXERCISE
- A function phi(x) satisfies the functional equation x^2phi(x) + phi(1-...
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- If n is a natural number,then
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- Let S(n)=underset(k=1)overset(n)sum (n)/(n^(2)+nk+k^(2)) and T(n)=unde...
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- Two friends visit a restaurant randomly during 5 pm to 6 pm . Among...
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- For any n in N, the value of the expression sqrt(2+sqrt(2+sqrt(2+.......
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- If a, b and c are distinct positive numbers, then the expression (a + ...
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- The general value of theta satisfying the equation 2sin^(2)theta-3sint...
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- For 3 xx 3 matrices M and N, which of the following statement(s) is/ar...
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- If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...
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- If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then
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- The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...
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- A person goes to office either by car, scooter, bus or train probabili...
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- The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...
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- If x,y andz are three real numbers such that x+y+z=4 and x^2+y^2+z^2=6...
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- A variable point P on the ellipse of eccentricity e is joined to the f...
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- Letz,z0be two complex numbers z0being the cojugate of z0. The numbers ...
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- A person throws dice, one the common cube and the other reglowest tera...
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- The integers x,y and z each are perfect squares and x>y>z>0.If x,y,z f...
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- let A1,A2,A3,...An are the vertices of a regular n sided polygon inscr...
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- If p,q,r,s are in A.P.and f(x)=|(p+sinx,q+sinx,p-r+sinx),(q+sinx,r+sin...
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