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# Maths Questions for CTET Exam :4th April 2019(Solutions)

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 2019, DSSSB ,KVS,STET Exam.

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Q1. The side AB of a parallelogram ABCD is produced to E in such way that BE = AB, DE intersects BC at Q. The point Q divides BC in the ratio
(a) 1 : 2
(b) 1 : 1
(c) 2 : 3
(d) 2 : 1
Q2. ABCD is a rhombus. A straight line through C cuts AD produced at P and AB produced at Q. If DP = AB, then the ratio of the length of BQ and AB is
(a) 2 : 1
(b) 1 : 2
(c) 1 : 1
(d) 3 : 1
Q3. In a quadrilateral ABCD, with unequal sides if the diagonals AC and BD intersect at right angles then
(a) AB² + BC² = CD² + DA²
(b) AB² + CD² = BC² + DA²
(c) AB² + AD² = BC² + CD²
(d) AB² + BC² = 2(CD² + DA²)
Q4. The ratio of the angles ∠A and ∠B of a non-square rhombus ABCD is 4 : 5, then the value of ∠C is:
(a) 50°
(b) 45°
(c) 80°
(d) 95°
Q5. ABCD is a rhombus whose side AB = 4 cm and ∠ABC = 120°, then the length of diagonal BD is equal to:
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm
Q6. The tangents at two points A and B on the circle with centre O intersects at P. If in quadrilateral PAOB, ∠AOB : ∠APB = 5 : 1, then measure of ∠APB is:
(a) 30°
(b) 60°
(c) 45°
(d) 15°
Q7. ABCD is a trapezium whose side AD is parallel to BC, Diagonals AC and BD intersect at O. If AO = 3, CO = x – 3, BO = 3x – 19 and DO = x – 5, the value(s) of x will be:
(a) 7, 6
(b) 12, 6
(c) 7, 10
(d) 8, 9
Q8. Q is a point in the interior of a rectangle ABCD, if QA = 3 cm, QB = 4 cm and QC = 5 cm then the length of QD (in cm) is Q9. O is the centre of a circle and arc ABC subtends an angle of 130° at O. AB is extended to P. Then ∠PBC is:
(a) 75°
(b) 70°
(c) 65°
(d) 80°
Q10. Inside a square ABCD, BEC is an equilateral triangle. If CE and BD intersect at O, then ∠BOC is
(a) 60°
(b) 75°
(c) 90°
(d) 120°          