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KVPY PREVIOUS YEAR-MOCK TEST 5-EXERCISE
- Let [a] denotes the larger integer not exceeding the real number a if ...
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- The number of solution of the equation sin^(3)x cos x+sin^(2)x cos^(2)...
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- The solution set of the inequality |9^x-3^(x+1) + 15| < 2.9^x - 3^x i...
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- Let R be the relation in the set Z of all integers defined by R= {(x,y...
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- If the integers m and n are chosen at random between 1 and 100, then t...
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- If the circumcenter of an acute-angled triangle lies at the origin ...
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- If f(x) = cospi(| x|+[x]), then choose the incorrect option.
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- the set of equations lambdax-y+(cos 0) z=0,3x+y+2z=0 (cos 0) x+y+2z...
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- The probability that the graph of y=16x^2 +8(a +5)x-7a-5=0, is strictl...
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- Let f:R->R and g:R->R be two one-one and onto functions such that they...
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- The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1...
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- if the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, th...
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- If f(x)={(([x]-1)/(x-1), x ne 1),(0, x=1):} then f(x) is
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- Calculate the area bounded by the curve y=x(3-x)^2 the x-axis and the ...
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- If x , y, z in R, x + y + z= 4 and x^(2) + y^(2) + z^(2) = 6, then the...
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- the minimum value of 3tan^2theta+12cot^2theta is (A) 6 (B) 15 (C) 24 (...
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- If the range of the function f(x)=(x-1)/(p-x^2+1) does not contain any...
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- The int(tan^-1 alpha)^(cot^-1 alpha) (tanx)/(tanx+cotx)dx alpha in R c...
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- Let f(x) =[x]+|1-x|,-1lex< 3,(here [.] denotes greatest integer functi...
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- The greatest of the numbers 2^(1/2), 3^(1/3), 4^(1/4), 5^(1/5), 6^(1/6...
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