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Here are 20 multiple choice questions (MCQs) numbered 181 to 200 based on the AP DDSC Secondary Grade Teacher SGT 2025 syllabus for Mathematics — focusing on Algebra and Mensuration (Class III to VIII, difficulty up to Class X):

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181. What is the coefficient of 5x2y5x^2y5x2y?
a) 5
b) x2x^2x2
c) yyy
d) 1
Answer: a) 5

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182. Which of the following is a linear equation in one variable?
a) 3x+7=03x + 7 = 03x+7=0
b) x2+2x+1=0x^2 + 2x + 1 = 0x2+2x+1=0
c) xy=5xy = 5xy=5
d) x3−4=0x^3 - 4 = 0x3−4=0
Answer: a) 3x+7=03x + 7 = 03x+7=0

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183. What is the sum of (3x+4)(3x + 4)(3x+4) and (5x−2)(5x - 2)(5x−2)?
a) 8x+28x + 28x+2
b) 15x−815x - 815x−8
c) 8x+68x + 68x+6
d) 3x+23x + 23x+2
Answer: a) 8x+28x + 28x+2

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184. Simplify: (2x)(3x2)(2x)(3x^2)(2x)(3x2)
a) 5x35x^35x3
b) 6x36x^36x3
c) 6x26x^26x2
d) 5x25x^25x2
Answer: b) 6x36x^36x3

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185. Which identity represents (a+b)2(a + b)^2(a+b)2?
a) a2+2ab+b2a^2 + 2ab + b^2a2+2ab+b2
b) a2−2ab+b2a^2 - 2ab + b^2a2−2ab+b2
c) a2+b2a^2 + b^2a2+b2
d) a2−b2a^2 - b^2a2−b2
Answer: a) a2+2ab+b2a^2 + 2ab + b^2a2+2ab+b2

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186. What is the value of xxx in 5x−10=05x - 10 = 05x−10=0?
a) 0
b) 1
c) 2
d) -2
Answer: c) 2

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187. Which of the following is a monomial?
a) 3x+23x + 23x+2
b) 7x27x^27x2
c) x2+y2x^2 + y^2x2+y2
d) x+y+zx + y + zx+y+z
Answer: b) 7x27x^27x2

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188. What is the result of (6x3y2)(2xy)\frac{(6x^3y^2)}{(2xy)}(2xy)(6x3y2)?
a) 3x2y3x^2y3x2y
b) 3xy3xy3xy
c) 3x4y3x^4y3x4y
d) 3x2y23x^2y^23x2y2
Answer: a) 3x2y3x^2y3x2y

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189. Express 5000000 in standard form.
a) 5×1065 \times 10^65×106
b) 5×1055 \times 10^55×105
c) 50×10550 \times 10^550×105
d) 0.5×1070.5 \times 10^70.5×107
Answer: a) 5×1065 \times 10^65×106

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190. Find the area of a rectangle with length 12 cm and width 7 cm.
a) 19 cm²
b) 84 cm²
c) 26 cm²
d) 42 cm²
Answer: b) 84 cm²

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191. The perimeter of a square is 36 cm. What is the length of one side?
a) 6 cm
b) 9 cm
c) 12 cm
d) 18 cm
Answer: a) 9 cm

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192. What is the volume of a cube with side length 5 cm?
a) 20 cm³
b) 100 cm³
c) 125 cm³
d) 25 cm³
Answer: c) 125 cm³

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193. The volume of a cuboid is 360 cm³. If its length is 10 cm, width is 6 cm, what is its height?
a) 3 cm
b) 6 cm
c) 10 cm
d) 60 cm
Answer: a) 6 cm (since 10×6×h=360⇒h=610 \times 6 \times h = 360 \Rightarrow h = 610×6×h=360⇒h=6)

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194. Find the circumference of a circle with radius 7 cm. (Use π=22/7\pi = 22/7π=22/7)
a) 44 cm
b) 14 cm
c) 22 cm
d) 28 cm
Answer: a) 44 cm

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195. What is the surface area of a cube with side 4 cm?
a) 48 cm²
b) 64 cm²
c) 96 cm²
d) 16 cm²
Answer: c) 96 cm²

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196. If a=2a = 2a=2 and b=−3b = -3b=−3, find the value of a2−2ab+b2a^2 - 2ab + b^2a2−2ab+b2.
a) 25
b) 13
c) 1
d) 0
Answer: a) 25

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197. Which of the following represents a polynomial?
a) 2x+32x + 32x+3
b) 3x\frac{3}{x}x3
c) x+1\sqrt{x} + 1x+1
d) x−2+5x^{-2} + 5x−2+5
Answer: a) 2x+32x + 32x+3

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198. Find the missing term: 2x+5=?2x + 5 = ?2x+5=? when x=3x = 3x=3.
a) 11
b) 16
c) 12
d) 10
Answer: b) 11 ( 2×3+5=6+5=112 \times 3 + 5 = 6 + 5 = 112×3+5=6+5=11)

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199. The area of a trapezium with parallel sides 8 cm and 5 cm, and height 4 cm is:
a) 26 cm²
b) 13 cm²
c) 52 cm²
d) 20 cm²
Answer: b) 26 cm² (Area = 12(a+b)h=12×(8+5)×4=26\frac{1}{2}(a+b)h = \frac{1}{2} \times (8+5) \times 4 = 2621(a+b)h=21×(8+5)×4=26)

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200. What is the solution of 3x+4=163x + 4 = 163x+4=16?
a) 4
b) 5
c) 6
d) 8
Answer: a) 4

 

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