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CAT 2020 || Number System Quiz PYQPs || 24.11.2020

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Question 1

Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?

Question 2

When you reverse the digits of the number 13, the number increases by 18. How many other two digit numbers increase by 18 when their digits are reversed?

Question 3

The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above to that of employees who are not, can possibly be:

Question 4

For a positive integer n, let Pn denote the product of the digits of n and Sn denotes the sum of the digits on n. The number of integers between 10 and 1000 for which Pn + Sn = n is

Question 5

The remainder when 2⁴⁵ is divided by 5 is

Question 6

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 7

In a country named “Woohooland”, there are 2 flashing lights in traffic signal, a black one and a purple one. The black one flashes 5 times/minute and the purple one flashes 4 times/minute. If the signal starts off at the same time, how many times do they flash together in a day?

Question 8

Consider the following four statements A, B, C and D.
A) A horse is gentle if it has been well trained.
B) A horse is gentle only if it has been well trained.
C) Some horses are gentle even though they have not been well trained.
D) Some horses that are well trained are not gentle.
Which one of the following statements is correct?

Question 9

A boy finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b?

Question 10

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

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CAT & MBA Quantitative Aptitude

Jun 21CAT & MBA