141.If sin x equals cosine x, what is x in radians?
- A. π/2
- B. π/3
- C. π/4
- D. π/6
142.If x² + 4 = 0, then x =
- A. 4
- B. -4
- C. 2
- D. none of these
143.In a geometric progression, the first term is 153 and the sixth term is 17/27, the sum of the first four terms is
- A. 860/3
- B. 680/3
- C. 608/3
- D. 806/3
144.List all integer values of x satisfying the inequality −1 < 2x -5 ≤ 5
- A. 2,3,4,5
- B. 2,5
- C. 3,4,5
- D. 2,3,4
145.Make c the subject of the equation a(b+c) + 5/d - 2 = 0
- A. c = 2d - 5 - b/ad
- B. c = 5 - 2d - b/ad
- C. c = 5 - 2d -abd/ad
- D. c = 2d - 5 - abd/ad
146.Multiply (3x + 5y + 4z) by (2x - 3y + z)
- A. 6x² +xy -15y² + 4z² + 11xz - 7yz
- B. 6x² +3xy -15y² + 4z² + 11xy - 5yz
- C. 6x² +3xy -15y² + 4z² + 13xz - 8yz
- D. 6x² +5xy -15y² + 4z² + 13xz + 6yz
147.Multiply (x+3y+5) by (2x² + 5y + 2)
- A. 2x³ + 3yx² +10xy+15y²+13y+10x²+2x+10
- B. 2x³ + 6yx² +5xy+15y²+31y+10x²+2x+10
- C. 2x³ + 3yx² +5xy+10y²+13y+5x²+2x+10
- D. 2x³ + 6yx² +5xy+15y²+13y+10x²+2x+10
148.Multiply x² + x + 1 by x² - x + 1
- A. x⁴ + 3x² + x + 1
- B. x⁴ + x² + 1
- C. x⁴ + 4x² - 6x + 1
- D. x⁴ - 6x² + 4x + 1
149.The factors of 6x - 5 - 5x²
- A. -(x+3)(x+2)
- B. (x-5)(x-1)
- C. -(x+5)(x+1)
- D. (x-5)(1-x)
150.The quantity (x + y) is a factor of
- A. x²+y²
- B. x³-y³
- C. 2x²-3xy+y²-x+1
- D. 2x³+2x²y-xy+3x-y²+3y
151.The set of values of x and y which satisfies the equations x² - y - 1 = 0 and y – 2x + 2 = 0
152.The solution of the equation x²-2x=8
- A. x = 0 or 2
- B. x = -2 or 4
- C. x = 2
- D. x = -4
153.The sum of the root of a quadratic equation is 5/2 and the product of its roots is 4. The quadratic equation is
- A. 2x²+5x+8=0
- B. 2x²-5x+8=0
- C. 2x²-8x+5=0
- D. 2x²+8x-5=0
154.Three numbers x, y and z are connected by the relationships y = 4/9 x + 1 and z = 4/9 y + 1 if x = 99, find z.
- A. 6 1/3
- B. 20
- C. 21
- D. 176 4/9
155.What factor is common to all the expressions: x² -x, 2x²+x-1 and x²-1
- A. x
- B. x-1
- C. x+1
- D. No common factor
156.A canal has rectangular cross section of width 10cm and breadth 1m. If water of uniform density 1 gm/cm³ flows through it at a constant speed of 1000mm per minute, the adjacent sea is
- A. 100,000
- B. 1,000,000
- C. 120,000
- D. 30,000
157.A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
- A. 9cm
- B. √65
- C. 4√2cm
- D. 7cm
158.A cylinder of height h and radius r is open at one end. Its surface area is
- A. 2πrh
- B. πr²h
- C. 2πrh + 2πr²
- D. 2πrh + πr²
159.A pyramid is constructed on a cuboid. The figure has
- A. 12 faces
- B. 13 vertices
- C. 14 edges
- D. 16 edges
160.A quadrant of a circle of radius 6cm is cut away from each corner of a rectangle 25cm long and 18cm wide. Find the perimeter of the remaining figure
- A. 38cm
- B. (38 + 12π)cm
- C. (86-12π)cm
- D. (86-6π)cm