Dakshana Mock Test Season IV

Dakshana Mock Test Season IV

1]

i. √2+√3+√4+√6
ii. √6-√4+√3-√2
iii. √6-√4-√3+√2
iv. None of these

2] State, the condition "c" must satisfy, if a,b,c ⋲ R and ac=bc => a=b, then

i. c ≥ 0
ii. c ≤ 0
iii. c = 0
iv. c ≠ 0

3] If x,y ⋲ R and x < y => x2 > y2, then

i. x > 0
ii. y > 0
iii. x < 0
iv. y < 0

4] In how many ways can 576 be expressed as a product of two distinct factors ?

i. 10
ii. 11
iii. 21
iv. None of these

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).

i. x2-2x+1
ii. x3-2x-1
iii. x2-x+1
iv. None of these

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

i. 13/3
ii. 13/2
iii. 16/3
iv. 15/2

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

i. p2-q2
ii. p2+q2
iii. q2-p2
iv. None of these

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

i. (5/3)(p-q)(2q-p)
ii. (1/7)(q-p)(2p-q)
iii. (3/5)(q-p)(2q-p)
iv. (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

i. -5,-30
ii. -5,30
iii. 5,30
iv. 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

i. 7
ii. 13
iii. 14
iv. 18

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

i. 4,3,2
ii. 2,3,4
iii. 3,4,2
iv. 4,2,3

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 ?

i. 1850
ii. 2000
iii. 2500
iv. 2100

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

i. 13
ii. 75
iii. 65
iv. 23

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?

i. 30 km/h
ii. 15 km/h
iii. 25 km/h
iv. 20 km/h

15] Find the value of p for which the quadratic equation
x2+p(4x+p-1)+2 = 0 has equal roots

i. -1,2/3
ii. 3,5
iii. 1,-4/3
iv. 4/3,2

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:

i. x2-50x+49=0
ii. x2-50x-49=0
iii. x2+50x+49=0
iv. x2-12x+7=0

17] Solve: [√(2x+9)]+x =3

i. 4,16
ii. 8,20
iii. 2,8
iv. None of these

18]

i. -1/3,-1/2,2,3
ii. 1/3,1/2,2,3
iii. 1/3,1/2,-2,-3
iv. None of these

19] The number of real roots of the equation: (x-1)2+(x-2)2+(x-3)2=0

i. 0
ii. 2
iii. 3
iv. 6

20] If x, y, z are in A.P., then the value of (x+y-z)(y+z-x) is equal to

i. 8yz-3y2-4z2
ii. 8yz-3z2-4y2
iii. 8yz-2z2-4y2
iv. 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

i. 1
ii. 2
iii. 0
iv. None of these

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

i. b/(b-a)
ii. b/(b+a)
iii. a/(b-a)
iv. a/(a+b)

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

i. 2
ii. 4
iii. 3
iv. -3

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

i. 25
ii. -25
iii. -35
iv. 35

25] If the roots of the equation x3-12x2+39x-28=0 are in A.P., then their common difference will be

i. ±1
ii. ±2
iii. ±3
iv. ±4







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