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LINES AND ANGLES || Quantitative Aptitude || CAT 2021 || 04 October
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Question 1
A circular wire folded in the form of a circle of radius 8 cm is cut in such a way that it gets adjusted on circumference of bangle of radius 90 cm. What is the value of angle (in degree) made by wire at the centre of Bangle?
Question 2
O and C are respectively the orthocenter and circumcentre of an acute-angled triangle PQR. The points P and O are joined and produced to meet the side QR at S. If ∠PQS = 60 ° and ∠QCR = 130 °, then ∠RPS =
Question 3
In the following figure, if angles ∠ABC = 95° and ∠FED = 115° (not to scale). The angle ∠APC is equal to:
Question 4
The side ST of ∆RST is produced to P. If ∠RTP = 115° and ∠S = ∠R, then the measure of ∠R is:
Question 5
The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 4 : 3 : 8, is:
Question 6
Line Segment AB is parallel to line segment CD, AD intersects BC in E; If lengths of AE, BC and ED are 18 cm, 13.6 cm and 6 cm, what is the length of EC?
Question 7
An angle is greater than its complementary angle by 30°. Find the measure of the angle.
Question 8
Find the maximum number of points of intersection of four lines on a plane is.
Question 9
In the given figure PQ||RS, RQ||TU and SOT = 133°, then find the value of x.
Question 10
The external bisector of ABC intersect the straight line through A and parallel to BC at the point D. If ABC = 50 °, then measure of ADB is
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