Dakshana Mock Test Season IV Solutions
Dakshana Mock Test Season IV Solutions
1]
Answer: √2+√3+√4+√6
2] State, the condition "c" must satisfy, if a,b,c ⋲ R and ac=bc => a=b, then
Answer: c ≠ 0
3] If x,y ⋲ R and x < y => x2 > y2, then
Answer: x < 0
4] In how many ways can 576 be expressed as a product of two distinct factors ?
Answer: 10
5] On dividing x3-3x2+x+2 by polynomial g(x), the quotient and remainder were x-2 and 4-2x respectively, then find g(x).
Answer: x2-x+1
6] If α and β are the zeroes of the polynomial f(x)=15x2-5x+6 then, (1+1/α)(1+1/β) is equal to
Answer: 13/3
7] If a, b are the zeroes of f(x)=x2+px+1 and c, d are the zeroes of f(x)=x2+qx+1 then, the value of
E = (a-c)(b-c)(a+d)(b+d) is
Answer: q2-p2
8] Let, α, β be the zeroes of the polynomial x2-px+r and α/2, 2β be the zeroes of x2-qx+r, then the value of r is
Answer: (2/9)(2p-q)(2q-p)
9] If 2 and 3 are the zeros of f(x) = 2x3+mx2-13x+n, then what are the values of m and n, respectively
Answer: -5,30
10] The number of solutions of the equation 2x+y=40, where both x and y are non-zero positive integers and x ≤ y is
Answer: 13
11] State, the values of x, y and z, respectively on the basis of the given two equations,
x/4 = y/3 = z/2
7x+8y+5z = 62
Answer: 4,3,2
12] 4 men earn as much in a day as 7 women. 1 woman earns as much as 2 boys. If 6 men, 10 women and 14 boys work together for 8 days to earn Rs. 2200, then what will be the earning of 8 men and 6 women working together for 10 days in Rs ?
Answer: 2000
13] Sum of 2 integers is 88. If the greater is divided by the smaller, the quotient is 5 and the remainder is 10, the greater integer is
Answer: 75
14] 2 horses start trotting towards each other, one from A to B and another from B to A. They cross each other after 1 hour and the first horse reaches B, 5/6 hours before the second horse reaches A. If the distance between A and B is 50 km. What is the speed of the slower horse?
Answer: 20 km/h
15] Find the value of p for which the quadratic equation
x2+p(4x+p-1)+2 = 0 has equal roots
Answer: -1,2/3
16] If α, β are the roots of the equation x2+7x+12=0, then the equation whose roots are (α+β)2 and (α-β)2 is:
Answer: x2-50x+49=0
17] Solve: [√(2x+9)]+x =3
Answer: None of these
18]
Answer: -1/3,-1/2,2,3
19] The number of real roots of the equation: (x-1)2+(x-2)2+(x-3)2=0
Answer: 0
20] If x, y, z are in A.P., then the value of (x+y-z)(y+z-x) is equal to
Answer: 8yz-3y2-4z2
21] If the numbers a,b,c,d,e form an A.P, then the value of a-4b+6c-4d+e is equal to
Answer: 0
22] The first, second and last terms of an A.P. are a, b and 2a. The number of terms in the A.P. is
Answer: b/(b-a)
23] If the last term of an A.P. is 119 and the 8th term from the end is 91, then, the common difference of the A.P. is
Answer: 4
24] A student read common difference of an A.P. as -2 instead of 2 and got the sum of first five terms as -5. The actual sum of first five terms of the A.P. is
Answer: 35
25] If the roots of the equation x3-12x2+39x-28=0 are in A.P., then their common difference will be
Answer: ±3
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