Subject Code : 1 2 6 BAF Shaheen College Dhaka
Practice Preparatory Test Examination-1 : 2020 Class X
(English Version)
Subject : Higher Mathematics (MCQ)
Time : 25 Minutes Full Marks⎯25
[ Darken the circle (O) with black ball point pen from the alternatives ] 1. If f(x) = 3x + 1, 0 ≤ x ≤ 2, then range of f is⎯
a {y∈R : 0 ≤ y ≤ 2}
b {y∈R : 1 ≤ y ≤ 2}
c {y∈R : 0 ≤ y ≤ 7}
d [y∈R : 1 ≤ y ≤ 7}
2. What is the domain of the function F(x) = −?
a {x : x∈R and x ≠5}
b {x : x∈R}
c {x : x∈R and x ≥ 5}
d {6x : x∈R and x > 5}
3. If number of element in a set is n, then the number of proper subset is⎯
a 2n + 2 b 2n+2 c 2n−1 d 2n−2 4. Ir A = {a, b, c, d} then how many elements do
P(A) have)?
a 4 b 8 c 16 d 32
5. Which is the value of one enterior angle of an equilateral triangle?
a 120° b 180° c 270° d 360°
6. If obtuse angle ∠C of triangle ΔABC, which is correct?
a AB2 = AC2 + BC2 b AB2 < AC2 + BC2 c AB2 > AC2 + BC2 d AB2 > 2(AC2 + BC2) 7. If the roots of the equation of ax2 + bx + c = 0 are
equal, then which information is correct?
a b2−4ac > 0 b b2 − 4ac < 0 c b2 − 4ac ≥ 0 d b2 − 4ac = 0 8. What is the roots of 4x −1 − x2 = 0?
a 1 ± b 2 ± 2
c 2 ± d 1 ± 2
9. The quantity which is changable is known as⎯
a Variable b Constant c Function d Relation 10. If yx = 4 and y2 = 2x, x = what?
a ± 2 b ± 4 c ± 1 d ± 3 11. Which one is the summation of + ... up to
infinity?
a b c 2 d 3
12. What is the 12th term of the sequence 1, 3, 5, 7?
a 12 b 13 c 23 d 25
13. If logx3 + logx 81 = 5, what is the value of x?
a 3 b 9 c 27 d 81
14. logbm × loga b = ?
a logam b logbm c logba d logmb 15. If x > y and z < 0 then which one is correct?
a xz < yz b x + z < y + z c xz > yz d x − z < y−z
16. What is the distance from P(−2, 2) to the origin?
a 2 b 2 c 4 d 8
17. Which one is the domain of f(x) = ? a {0} b R−{0} c {−1, 1} d R
18. What will be the are of the triangle with the vertices A(5, 6), B(3, −1), C(1, 4)?
a sq. unit b 19 sq. unit c 31 sq. unit d 38 sq. unit 19. What is the area of the region bounded by
4x + 5y = 20 and axis’s?
a 10 sq unit b 20 sq. unit c 80 sq. unit d 100 sq. unit
20. If a triangular uniform prism has base of 4 cm and height 4 cm, what is the volume?
a 16 cm3 b 48 cm3 c 48 cm3 d 64 cm3
21. A triangular uniform prism has base 4 cm and height 4 cm, what is the total surface area?
a 48 cm2 b 61.86 cm2 c 64 cm2 d 64 cm3 22. How many planes are there in a cube?
a 4 b 6 c 8 d 10
23. If a cube has sides of length a, what is the total surface area?
a a2 + 6 sq. unit b 6a2 sq. unit c a2/6 sq. unit d 16a2 sq. unit
24. In a right angle triangle if two sides has length 3 and 4 cm, what is the length of the other side?
a (32 + 42) cm b 25 cm c 5 cm d 42 cm
25. What is the image of y = x3 − 2x − 1, if domain = {0, 1, −1}?
a {0, 1, −1} b {0, −1, −2}
c {0, 1} d {0, −1}
