NCST Mock Test Season II Mathematics
NCST Mock Test Season II Mathematics
1] If a1/m = b1/n = c1/p and abc = 1, then m + n + p equals to
A. 0B. 2
C. 1
D. -2
2] Find the value of
A. 10√5
B. 2√5
C. 10
D. 20
3] The co-ordinates of the point where the line 2(x - 4) = 2y - 7, meet the x-axis is
A. (1,0)B. (0,1/2)
C. (-1/2,0)
D. (1/2,0)
4] Which of the following sentence is not true.
A. lf α is zero of polynomial f(x), then f(α) = 0.B. Let, f(x), g(x), q(x) and r(x) are polynomials and f(x) = g(x) × q(x) + r(x). Then, r(x) = 0 or degree r(x) < degree g(x).
C. If α, β and γ are zeroes of f(x) = ax3 + bx2 + cx + d, then α + β + γ = -b/a, αβ + βγ + γα = c/a and αβγ = -d/a.
D. None of these
5] The mean of four observations is 20. When a constant c is added to each observation, the mean becomes 22. The value of c is
A. -2B. 2
C. 4
D. 6
6] In triangle ABC, ∠B = 90°, BD ⊥ AC. If, AB = 10 cm, BC = 20 cm, then find BD.
A. 2√5 cm
B. 4√5 cm
C. 3√5 cm
D. 8√5 cm
7] In the singapore zoo, there are deers and ducks. If the heads are counted, they are 180 while the legs are 448. What will be the number of deers in the zoo.
A. 136B. 68
C. 44
D.22
8] The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is
A. 101B. 107
C. 111
D. 185
9] The condition that the zeroes of the polynomial lx2+ mx + n may be in the ratio 3:4 is
A. 14 n2 = 49 mlB. m2 = 9 nl
C. 12 m2 = 49 nl
D. 4 l2 = 49 ml
10] The areas of three adjacent faces of a cuboid are 1 m2, 4 m2 and 9 m2, then its volume is
A. 36 m3B. 6 m3
C. 216 m3
D. Cannot be determined
11] A Positive Integer is said to be prime if, it is not divisible by any positive integer other than itself and one. Let p be a prime number strictly greater than 3. Then, when p2 + 17 is divided by 12, the remainder is
A. 6B. 1
C. 0
D. 8
12] The mean of x+2, x, x+3, x+4, x+1 is 20. Find x.
A. 3B. 12
C. 18
D. 1
13] If the lines represented by the system of equations, 3x + y = 1, (2k-1)x + (k-1)y = 2k+1 are parallel, then k =?
A. 2B. -2
C. 1
D. -1
14] A metallic sphere of radius 10.5 cm is melted and then recast into many small cones, each of radius 3.5 cm and height 3 cm. How many such cones are obtained?
A. 63B. 126
C. 21
D. 130
15] Find the remainder when (x3 + 3x2 - 5x + 4) is divided by (x-1).
A. 3B. -3
C. 0
D. 4
16] D, E, F are mid points of BC, AC and AB respectively. G, H, I are mid points of sides FD, DE, EF respectively, then ar(quad. GHIF): ar(quad. AEDB) = ?
A. 1 : 3
B. 1 : 6
C. 1 : 4
D. 1 : 16
17] If one root of a quadratic equation is [1/(√4 - √3)] then, the quadratic equation can be
A. x2 - 2√4x + 1 = 0B. x2 - √4x + 1 = 0
C. x2 + 2√4x + 1 = 0
D. x2 + 2√3x + 1 = 0
18] The value of x is
A. 3/2
B. 9/4
C. 16/25
D. 8/27
19] The sides of a triangle are 25m, 39m and 56m, respectively. Find the length of the altitude on the side 56m.
A. 15 mB. 16. 5 m
C. 18.6 m
D. 21 m
20] Find the value of k, if the points (-2,5), (-5, - 10) and (k, - 13) are collinear.
A. 5/28B. -28/5
C. 28
D. 5
21] Determine the ratio in which y - x + 2 = 0, divides the line joining (3,-1) and (8,9).
A. 3 : 5B. 4 : 3
C. 2 : 3
D. None of these
22] The continued product of (1 - x), (1 + x), (1 + x2), (1 + x4) and (1 + x8) is
A. (1 - x8 + x16)B. (x8 + x16)
C. (1 – x16)
D. (x16 - 1)
23] If 27r = 81, find the value of
A. 3
B. 32
C. 33
D. r√3
24] If x2 + y2 + z2 = xy + yz +zx, then the triangle is
A. Isosceles
B. Right-angled
C. Equilateral
D. Scalene
25] In the given figure, AB || CE and BC || FG. Find the value of x.
A. 52°
B. 32°
C. 42°
D. 36°
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