XAT 2020 Question Paper - Quant

Instructions

For the following questions answer them individually

Question 48

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

In the figure given below, the circle has a chord AB of length 12 cm, which makes an angle of $$60^\circ$$ at the center of the circle, O. ABCD, as shown in the diagram, is a rectangle. OQ is the perpendicular bisector of AB, intersecting the chord AB at P, the arc AB at M and CD at Q. OM = MQ. The area of the region enclosed by the line segments AQ and QB,and the arc BMA, is closest to (in cm$$^2$$):

Instructions

During 2015-2019, the revenues of four companies P-S were as follows:

Question 56

Question 57

Question 58

During the period from 2014 to 2015, the revenue increased by 25% for three of the companies and by 50% for the remaining company. The total increase in revenue, for all four companies put together, was Rs. 125 lakhs.Which of the following CANNOT be true?

Instructions

For the following questions answer them individually

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 66

Mohanlal, a prosperous farmer, has a square land of side 2 km. For the current season, he decides to have some fun. He marks two distinct points on one of the diagonals of the land. Using these points as centers, he constructs two circles. Each of these circles falls completely within the land, and touches at least two sides of the land. To his surprise, the radii of both the circles are exactly equal to $$\frac{2}{3}$$ km. Mohanlal plants potatoes on the overlapping portion of these circles. Calculate the area on which Mohanlal planted potatoes (in sq. km).

Instructions

190 students have to choose at least one elective and at most two electives from a list of three electives: E1, E2 and E3. It is found that the number of students choosing E1 is half the number of students choosing E2, and one third the number of students choosing E3.
Moreover, the number of students choosing two electives is 50.

Question 67

Question 68

In addition to the given information, which of the following information is NECESSARY and SUFFICIENT to compute the number of students choosing only E1, only E2 and only E3?

Instructions

For the following questions answer them individually

Question 69

Question 70

Question 71

Question 72

Six drums are used to store water. Five drums are of equal capacity, while the sixth drum has double the capacity of each of these five drums. On one morning, three drums are found half full, two are found two-thirds full and one is found completely full. It is attempted to transfer all the water to the smaller drums. How many smaller drums are adequate to store the water?

Instructions

The following graph depicts sector-wise percentage contributions to the gross domestic product (GDP) of nine nations, labelled “Nation A”, “Nation B” and so on. It is known that these nations are Brazil, China, France, Germany,India, Japan, Russia, the UK and the USA, but not necessarily in the same order.

The following, however, are known:
i) The GDPs of the nine nations (in US $trillion) are: ii) China has the highest agriculture sector GDP, valued at US$1 trillion, followed respectively by the USA and India
iii) In terms of percentage contribution to the respective nations’ GDPs by their service sectors, the UK and France are respectively the first and the second
iv) Nation A, Nation B and Nation G have the same GDP
v) The GDPofIndia’s industry sector is lower than the GDP of Russia’s industry sector. However,it is larger than that of Brazil's industry sector

Question 73

Question 74

Question 75