NCST Mock Test Season I Mathematics
NCST Mock Test Season I Mathematics
1] If the ratio of the roots of polynomial x2 + bx + c is the same as that of the ratio of the roots of x2 + qx + r, then
A. br2 = qc2B. cq2 = rb2
C. q2c2 = b2r2
D. bq=rc
2] If secα and cosecα are the roots of the equation x2 - px + q = 0, then
A. p2 + q2 = 2qB. p2 - q2 = 2q
C. p2 + q2 = 2p
D. p2 - q2 = 2p
3] ABC is a right-angled triangle at A and AD is perpendicular to the hypotenuse. Then, BD/CD is equal to
A. (AB/AC)2B. (AB/AD)2
C. AB/AC
D. AB/AD
4] If p and q are two co-prime numbers, then their HCF is
A. pB. q
C. 1
D. pq
5]
B. 1
C. 4
D. 5
6] If ax = b, by = c and cz = a, then value of x.y.z is
A. 0B. 1
C. -1
D. 2
7] In triangle OPQ, ∠P = 90°, OP = 7 cm, OQ - PQ = 1 cm, then value of sin Q is
A. 8/25B. 16/25
C. 9/25
D. 7/25
8] The value of (2tan30°) / (1-tan230°) is
A. sin60°B. cos60°
C. tan60°
D. cot60°
9] If A, B and C are interior angles of triangle ABC, then value of sin([B+C]/2) is
A. cos(A/2)B. sin(A/2)
C. tan(A/2)
D. sec(A/2)
10] The value of secθ(1 - sinθ)(secθ + tanθ) is
A. √2B. 2
C. 0
D. 1
11] In triangle ABC, AD is the median from A to BC, then AB2 + AC2 is equal to
A. 2BD2 - 2AD2B. 2AD2 + 2BD2
C. AD2 + BD2
D. AD2 - BD2
12] In an equilateral triangle ABC, D is a point on BC such that BD = (1/3) BC. Then, value of (AD/AB)2 is
A. 7/9B. 9/7
C. 3/4
D. 4/3
13] In the given figure, ∠ACB = 90°, CD ⊥ AB, then value of (BC/AC)2 is
A. BD/AD
B. AD/BD
C. (BD/AD)2
D. (AD/BD)2
14] Triangle ABC is similar to Triangle PQR, also AD and PS are the medians from points A and P, respectively. If
B. 121/25
C. 5/11
D. 11/5
15] P is any point inside a rectangle ABCD, then which of the following is the value of PB2 + PD2
A. PA2 + PC2B. PA2 - PC2
C. PC2 - PA2
D. PA2 + PB2
16] BL and CM are medians of a Triangle ABC, right-angled at A. If BL = 3, CM = 4, then value of BC is
A. 3√5B. 5√2
C. 2√5
D. 5√3
17] If sin3A = cos(A - 26°), where 3A is an acute angle, then the value of A is
A. 30°B. 29°
C. 45°
D. 60°
18] In a right-angled triangle ABC, right-angled at B, if tanA = 1, then value of 2sinA.cosA is
A. 1/2B. 2
C. 0
D. 1
19] In triangle ABC, ∠B = 90°, AB = 5, AC = 13, then value of secC + tanC is
A. 3/2B. 2/3
C. 3/4
D. 4/3
20] The value of 4.1212121212..... is equal to
A. 103/25B. 138/47
C. 136/33
D. 140/33
21] If the zeroes of the polynomial 3x3 + 2x2 - 4x + 3 are α, β and γ, then value of αβ + βγ + γα is
A. 2/3B. -4/3
C. 3
D. -3
22] In the polynomial x2 - 3, the value of product of zeroes is
A. 1B. 0
C. 3
D. -3
23] If the zeroes of polynomial x3 - 3x2 + x + 1 are (a-b), a, (a+b), then value of a is
A. 0B. 2
C. 1
D. 3
24] Given positive integers a and b, then there exist unique integers q and r, satisfying the condition a = bq + r, then which of the following is correct?
A. 0 ≤ r < bB. 0 < r ≤ b
C. 0 < r < b
D. 0 ≤ r ≤ b
25] If HCF of (96,404) = 4, then LCM of (96,404) is
A. 9669B. 6996
C. 9600
D. 9696
About Us
Acknowledgements
Contact Us
Help
Privacy Policy
Terms and Conditions
© 2021 Test Scorer, Dakshana foundation. All rights reserved.
Comments
Post a Comment