CTET 2011 Question Paper-2 with Answer | ||||
Child Development | Mathematics and Science | Social studies | Language-I(Eng) | Language-II(Hindi) |
Q41. A square sheet ABCD, when rotated on its diagonal AC at its axis of rotation, sweeps a
(a) cone
(b) spindle
(c) cylinder
(d) trapezium
 Answer: (b) spindle Solution: When a square is rotated on it diagonal as its axis of rotation, the spindle shape is formed. |
Q42. The area of a triangle with base x units is equal to the area of a square with side x units. Then, the altitude of the triangle is
(a) x/2 units
(b) x units
(c) 2x units
(d) 3x units
 Answer: (c) 2x units Solution: Let altitude of the triangle is h units. Now, ½ × base × altitude = (side)2 ⇒ x × h = 2x2 ⇒ h = 2x |
Q43. Which is greatest among $ 33\frac{1}{2
(a) 33Â
(b) 4/15
(c) 0.35
(d) cannot be compared
 Answer: (c) 0.35 Solution: $ 33\frac{1}{2 So, greatest 0.35 |
Q44. The factorization of 25 – p2 – q2 – 2pq is
(a) (5 + p + q) (5 – p + q)
(b) (5 + p +q) (5 – p – q)
(c) (5 + p – g) (5 – p + q)
(d) (5+ p – q ) (5 – p – q)
 Answer: (b) (5 + p +q) (5 – p – q) Solution: 25 – p2 – q2 – 2pq = (5)2 – (p +q)2 = (5 + p + q)(5 – p – q) |
Q45. A rectangle is divided horizontally into two equal parts. The upper part is further divided into three equal parts and the lower part is divided into four equal parts. Which fraction of the original rectangle is the shaded part?
(a) 3/5
(b) 2/7
(c) 4/7
(d) 7/12
 Answer: (d) 7/12 Solution: fraction of upper part = ½ and shaded area = 1/2 × 2/3 = 1/3 fraction of lower part = ½ and shaded area = 1/2 × 2/4 = 1/4 Total shaded area = 1/3 + 1/4 = 7/12 |
Q46. In the given figure, PS = SQ = SR and ∠SPQ= 54°. Find the measure of ∠x.
(a) 54°
(b) 72°
(c) 108°
(d) 36°
 Answer: (d) 36° Solution: SP = SQ, ∴ ∠SQP = ∠SPQ = 54°, ∴ ∠PSQ = 180° – (54° + 54°)= 72° ∴ ∠QSR = 180° – 72° = 108° , now ∠SRQ + ∠SQR = 180° – 108° = 72° ∴ x° = 72°/2 = 36° ( ∠SRQ = ∠SQR) |
Q47. 2x – 13, 2x – 11, 2x – 9, 2x – 7 are consecutive
(a) prime numbers
(b) even numbers
(c) odd numbers
(d) natural numbers
 Answer: (c) odd numbers Solution: let x is integer, then 2x is even number ∴ 2x – 13, 2x – 11, 2x – 9, 2x – 7 are consecutive  odd numbers |
Q48. The fractional equivalent of 57.12% (approx.) is
(a) 349/625
(b) 359/625
(c) 357/625
(d) 347/625
 Answer: (c) 357/625 Solution: 57.12% = 57.12/100 = 5712/10000 = 357/625 |
Q49. The ratio of the side and height of an equilateral triangle is
(a) 2 : 1
(b) 1 : 1
(c) $ \text{2:}\sqrt{3} $
(d) $ \sqrt{3}:2 $
 Answer: (c)$ \text{2:}\sqrt{3} $ Solution: height of an equilateral triangle (h) = $ \frac{\sqrt{3}}{2}\times \,\,side\,\,\Rightarrow \,\,side\,\,: (h)\,\,=\,\,\text{2 : }\sqrt{3} $ |
Q50. If two adjacent sides of a square paper are decreased by 20% and 40% respectively, by what percentage does the new area decrease?
(a) 48%
(b) 50%
(c) 52%
(d) 60%
 Answer: (c) 52% Solution: let side of square = 100x Then area = 10000x2 New side are 80x and 60x and area = 4800x2 Area decrease = 10000x2 – 4800x2 = 5200x2 Percentage decrease = (5200x2/10000x2) × 100 = 52% |