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GATE 2024 Aptitude Quiz 4

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Question 1

In a circle with centre O, PQ and QR are two chords such that PQR = 118°. What is the measure of OPR?

Question 2

Find the value of k for which the lines 5x + 3y + 2=0  and 3x - ky + 6 = 0 are perpendicular to each other

Question 3

The area (in square units) of the triangle formed by the graphs with equations x=4, y=3 and 3x+4y= 12 is: 

Question 4

Two line charts are given below. Line chart 1 shows the ratio of number of males to the number of females in two companies A and B for the 5 years. Line chart 2 shows the total number of males (both companies A and B) and total number of females (both companies A and B) for the 5 years.

What is the ratio of number of males of company B in Y 1 to the total number of females of company A in Y3 and Y5?

Question 5

The following bar graph shows the amounts (in Rs. Lakhs) invested by a company in purchasing raw materials and the values (in Rs. Lakhs) of finished goods sold by the company, from 2012 to 2017.

The difference between the average amount invested in purchasing raw materials during 2012 to 2017 and the average value of sales of finished goods during the same period 2012 to 2017 is:

Question 6

Two circles of radius 15 cm and 37 cm intersect each other at the points A and B. If the length of common chord is 24 cm. What is the distance (in cm) between the centres of the circles?

Question 7

∆ABC is inscribed in a circle with centre O, such that ACB = 115°. O is joined to A. What is the measure of OAB?
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Dec 2ESE & GATE EC