CMAT 2018 Slot 1

Instructions

For the following questions answer them individually

Question 11

The monthly incomes of Amit and Bharat are in the ratio of 5:4, their monthly expenses are in the ratio of 19:21, and their monthly savings are in the ratio of 37:18. If the total annual savings of Amit and Bharat is Rs.1,32,000, Amit’s monthly income is:-

Question 12

In a circle of radius 6 cm, arc AB makes an angle of 114° with centre of the circle O.
What is angle ABO?

Question 13

In a survey conducted among 120 houses, it was found that 50 read Times of India, 60 read Indian Express and 48 read Hindustan Times; 20 read Times of India and Indian Express, 18 read Times of India and Hindustan Times and 24 read Indian Express and Hindustan Times. If 10 read all three, how many read only one
newspaper?

Question 14

The length of the minute of a watch is 42 mm. The area swept by it in 30 minutes (in $$mm^2$$) by taking π as 3.14 is:-

Question 15

If (x + 4) is a factor of $$x^3 + 2x^2 + bx + 68$$, what is the value of b?

Question 16

Rakesh covers 12 km at 6 km/hr, 36 km at 9 km/hr and then 32 km at 4 km/hr. Find the approximate
average speed in covering the whole distance.

Question 17

Two pipes A and B can fill a cistern in 120 minutes and 150 minutes respectively. There is also an outlet C.If all the three pipes are opened together, the cistern gets filled in 100 minutes. How much time will be taken by C to empty full tank?

Question 18

Ramesh works A hours a day and rests B hours a day. This pattern continues for 1 week, with an exactly opposite pattern next week, and so on for four weeks. Every fifth week he adopts a new pattern which then continues for the next four weeks. When he works longer than he rests, his wage per hour is three times what he earns per hour when he rests longer than he works. The following table shows his daily working hours for the week numbered 1 to 13.

A week consists of six days and a month consists of four weeks. If Ramesh is paid Rs. 60 per working hour in
the $$1^{st}$$ week, what is his salary for the $$1^{st}$$ month? (Assume that he is paid half his wages for his resting hours on duty)

Question 19

In a box, there are eight yellow and four black balls. If three balls are drawn at random, what is the probability that two are yellow and one black?

Question 20

If $$\tan A + \cot A = \sqrt 5$$, What is the value of $$\tan^3 A + \cot ^3 A$$?

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