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# CAT 2019 | Quantitative Aptitude || Super Quiz 10 || 21.11.2019

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Question 1

If p is the product of four consecutive positive integers, then which of the following statements is NOT true?

Question 2

In a certain year, the month of January had exactly four Wednesdays and four Sundays. Then January 1 of that year was a

Question 3

A, B, C and D are four different numbers selected from 1, 2, 3, 4, 5, 6, 7, 8 and 9 so as to minimize . The minimum of is

Question 4

A, B and C play a game in several rounds. In each round, one of them wins and the other two lose. After every round, each of the two losers gives the winner an amount of money equal to the winner’s holding at the beginning of the round. The winners in the first three rounds are A, B and C respectively. If at the end of the third round A, B and C have Rs. 5, Rs. 4 and Rs. 6 respectively, then A’s holding (in Rupees) at the beginning of the first round was

Question 5 is equal to

Question 6

Only one combination of the digits 0, 1, 2, …., 9 opens a combination lock. A thief breaks combination locks of briefcases by the crude method of trying all possible combinations of these digits. if it takes 6 seconds to check each combination, he is sure to break any lock of 3 digits within a maximum of

Question 7

The minimum of f(x) = |x – 1| + |x – 4| + |x – 5| is attained at

Question 8

If and y = 5(a + b), and if x, y > 0, then (x + y) is

Question 9

A hairdresser currently charges Rs. 5 per haircut and gets 100 customers per week. The number of customers per week will decrease by 10 for every one rupee increase in the charge of haircut. At the most how much the hairdresser can charge per haircut (in Rupees) so that his weekly earning does not fall below the current level?

Question 10

Let H be a regular hexagon whose each side is 1 cm long. Then the area of H (in cm2) is

Question 11

We intend to count the number of distinct triplets (a, b, c) such that a, b, c are positive integers and a+b+c = 9. The ordering of a, b and c is important to us. For example, the triplets (2, 2, 5) and (2, 5, 2) are considered distinct. Then the number of distinct triplets as stated above is

Question 12

The maximum possible value of x2 + 4y2 + 9z2, subject to x + 2y + 3z = 12, where x, y and z re real numbers, is
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