Dear Students!!! There is most general as well as a scoring section in all the competitive entrance examinations in the teaching field i.e “Mathematics”.Because in this section only one thing is work i.e your accuracy and that could be nourished with the daily practice. So, for this, we are providing you the daily quiz for all teaching exams i.e CTET Exam 2018, DSSSB Exam & amp; STET Exams.
Q1. On factor of the expression a² + b² – 2 (ab – ac + bc) is
(a) (a + b – 2c)
(b) (2a + b – c)
(c) (a + 2b – c)
(d) (a – b + 2c)
Q2. If the radius of sphere is increased by 50%, then by how much percent the surface area will increase?
(a) 100
(b) 125
(c) 150
(d) 200
Q5. The book ‘Leelavati’ was written by
(a) Aryabhatta
(b) Brahmagupta
(c) Ramanujan
(d) Bhaskaracharya
Q7. 1.66 × 1.66 + 0.66 × 0.66 – 1.32 × 1.66 is equal to
(a) 0.1
(b) 1
(c) 10
(d) 101
Q8. A circle and a square have the equal perimeter, then
(a) the area of circle is greater
(b) the area of square is greater
(c) Both have equal areas
(d) Cannot be compared
Q9. The word ‘Curriculum’ is derived from the language
(a) Latin
(b) French
(c) German
(d) None of these
Q10. How many lines of symmetry occurs in a circle?
(a) 2
(b) 1
(c) infinite/ unlimited
(d) None of the above
Solutions
S1. Ans.(d)
Sol. a² + b² -2[ab – ac + bc]
= a² + b² – 2ab + 2ac – 2bc
= (a – b)² + 2c (a – b)
= (a – b) (a – b + 2c)
S3. Ans.(d)
Sol. ∵ ∠DAE + ∠ADE = 120° (exterior angle is equal to the sum of two opposite interior angles)
∴ ∠ADE = 120 – 30 = 90°
So DE is perpendicular on AC
∴ ∠EDC = 90°
In DFC,
∠DCF = 180° – (90° + 60°)
= 180° – 150° = 30°
∴ ∠x° = 180° – 30° = 150°
S5. Ans.(d)
Sol. The book ‘Leelavati’ was written by “Bhaskaracharya”.
S7. Ans.(b)
Sol. 1.66 × 1.66 + 0.66 × 0.66 – 1.32 × 1.66
= 1.66 × 1.66 + 0.66 × 0.66 – 2 × 0.66 × 1.66
∴a × a + b × b – 2ab =(a – b)²
∴ (1.66 – 0.66)² = (1)² = 1
S8. Ans.(a)
Sol. The area of circle would be greater than the area of square.
S9. Ans.(a)
Sol. The word ‘Curriculum’ is derived from ‘Latin’ language.
S10. Ans.(c)
Sol. A circle have infinite or unlimited lines of symmetry.
