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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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