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CAT2021 || Daily Target Quiz || QA || Mega Quiz 2 & Weekly Revision || 28.03.2021 (App update required to attempt this test)
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Question 1
In the adjoining figure, chord ED is parallel to the diameter AC of the circle. If angle CBE = 65 °, then what is the value of angle DEC?
Question 2
A sprinter starts running on a circular path of radius r metres. Her average speed (in metres/minute) is πr during the first 30 seconds, πr/2 during next one minute, πr/4 during next 2 minutes, πr/8 during next 4 minutes, and so on. What is the ratio of the time taken for the nth round to that for the previous round?
Question 3
Let C be a circle with centre P0 and AB be a diameter of C. Suppose P1 is the mid point of the line segment P0B, P2 is the midpoint of the line segment P1B and so on. Let C1, C2, C3, …..be circles with diameters P0P1, P1P2, P2P3 ….. respectively. Suppose the circles C1, C2, C3, are all shaded. The ratio of the area of the unshaded portion of C to that of the original circle C is
Question 4
The number of solutions of the equation 
where both 
and 
are positive integers and 
is
where both and are positive integers and isQuestion 5
The sum of four consecutive two – digit odd numbers, when divided by 10, becomes a perfect square, which of following can possibly be one of these four numbers?
Question 6
Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done?
Question 7
In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C, and the score of C was 20% less than that of D If A scored 72, then the score of D was
Question 8
Amal invests Rs 12000 at 8% interest, compounded annually, and Rs 10000 at 6% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at 7.5% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is
Question 9
In an apartment complex, the number of people aged 51 years and above is 30 and there are at most 39 people whose ages are below 51 years. The average age of all the people in the apartment complex is 38 years. What is the largest possible average age, in years, of the people whose ages are below 51 years?
Question 10
Humans and robots can both perform a job but at different efficiencies. Fifteen humans and five robots working together take thirty days to finish the job, whereas five humans and fifteen robots working together take sixty days to finish it. How many days will fifteen humans working together (without any robot) take to finish it?
Question 11
On selling a pen at 5% loss and a book at 15% gain, Karim gains Rs. 7. If he sells the pen at 5% gain and the book at 10% gain, he gains Rs. 13 . What is the cost price of the book in Rupees?
Question 12
Amala, Bina, and Gouri invest money in the ratio 3 : 4 : 5 in fixed deposits having respective annual interest rates in the ratio 6 : 5 : 4 . What is their total interest income (in Rs) after a year, if Bina's interest income exceeds Amala's by Rs 250?
Question 13
Sanjay mixed 125 litres of pure sanitizer with 25 litres of soap water. He sells 60 litres of this mixture. He again adds 40 litres of soap water to the remaining mixture and then he sells 36 litres of mixture to a customer. What is the approximate amount (in ml) of pure sanitizer the customer gets?
Question 14
A chemical plant has four tanks (A, B, C, and D), each containing 1000 litres of chemical. The chemical is being pumped from one tank to another as follows:
From A to B @ 20 litres/minute
From C to A @ 90 litres/minute
From A to D @ 10 litres/minute
From C to D @ 50 litres/minute
From B to C @ 100 litres/minute
From D to B @ 110 litres/minute
Which tank gets emptied first, and how long does it take (in minutes) to get empty after pumping starts?
From A to B @ 20 litres/minute
From C to A @ 90 litres/minute
From A to D @ 10 litres/minute
From C to D @ 50 litres/minute
From B to C @ 100 litres/minute
From D to B @ 110 litres/minute
Which tank gets emptied first, and how long does it take (in minutes) to get empty after pumping starts?
Question 15
A class consists of 20 boys and 30 girls. In the mid-semester examination, the average score of the girls was 5 higher than that of the boys. In the final exam, however, the average score of the girls dropped by 3 while the average score of the entire class increased by 2. The increase in the average score of the boys is
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