Number System Solved Examples y6a2n

Number System Version – 1.1

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Hi, I am glad to see that you have started your preparation for CAT 2015. Work hard and you shall succeed. the key to success in an exam like CAT has little to with intelligence or to do with hard work. It is about discipline. Even if you study couple of hours a day regularly, rest assured you will do well in CAT. In this PDF, you will find questions on Number System. These questions were sent as doubts by students. Some of these questions might be harder than the actual CAT questions. The idea behind these solved examples is to build your concepts. Below every question, you will find a link to the video solution of the question. Before watching the video solution, please try to solve the questions on your own first. Hope you learn from it. In case you face a problem or have some doubts, please post them on the course feed. Alternatively, you can also mail your doubts on [email protected] I look forward to hearing from you. Cheers, Ravi Handa 09765142632 PS: If you got this PDF from a friend of yours and are not enrolled in our course, please check out our course here: http://handakafunda.com/online

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1. A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be A. B. C. D.

1, 2 2, 3 3, 2 4,1

Video Solution : https://www.wiziq.com/tutorial/970462-solved-example-number-system-01successive-division

2. A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders when the order of the divisors is reversed. A. 8,5,3 B. 4,2,1 C. 3,2,1 D. 6,4,2 E. None of above Video Solution : https://www.wiziq.com/tutorial/970466-solved-example-number-system-02successive-division

3. How many numbers lie in the range 1331 and 3113 such that they are not divisible by 2, 3 or 5 ? A. 477 B. 594 C. 653 D. None of these Video Solution : https://www.wiziq.com/tutorial/970470-solved-example-number-system-03divisibility-rules

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4. The Sum of all possible two digit numbers (with unique digits) formed from three different one digit natural numbers when divided by the sum of the original three numbers is A. 18 B. 22 C. 36 D. None of these Video Solution : https://www.wiziq.com/tutorial/970475-solved-example-number-system-05number-properties

5. If n is any natural number, n2 (n2 – 1) is always divisible by A. 12 B. 24 C. 12 – n D. None of these Video Solution : https://www.wiziq.com/tutorial/970472-solved-example-number-system-04divisibility-rules 6. What is the remainder when 1281000 is divided by 153 ? Video Solution : https://www.wiziq.com/tutorial/970480-solved-example-number-system-07remainder 7. abcd * 4 = dcba, where a, b, c, d are distinct non zero digits. Then, what is the value of a+ b+ c+ d = ? Video Solution : https://www.wiziq.com/tutorial/970477-solved-example-number-system-06number-properties

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8. A tiled floor of a room has a dimension m*m sq-m. The dimensions of tile used are n*n sq-m. All tiles used are green tiles except diagonal tiles are red. After some years some green tiles are replaced by red tiles to form alternate red and green tiles pattern. How many green tiles are removed? (m is not equal to n and the total number of tiles are odd). A. (m2 – 4mn + 2n2)/2n2 B. (m – 2n)2 – n2 / 2n2 C. (m2 – 4mn – 2n2) / 2n2 D. (m2 – 4mn – n2) / 2n2 Video Solution : https://www.wiziq.com/tutorial/970458-solved-example-number-system-08word-problems 9. If ‘c’ is a positive integer, how many three-digit numbers ‘abc’ are there such that both ‘abc’ and ‘cba’ are divisible by 4? (a) 40

(b) 30

(c) 34

(d) None of these

Video Solution : https://www.wiziq.com/tutorial/970529-solved-example-number-system-09divisibility-rules 10. V is a 56 digit number. All the digits except the 32nd from the right are the same. If V is divisible by 13, then which of the following can never be the units digit of V? a) 4

b) 7

c) Both 4 & 7

d) None of these

Video Solution : https://www.wiziq.com/tutorial/970904-solved-example-number-system-10divisibility-rules

11. An ascending series of numbers satisfies the following conditions: i. When divided by 3, 4, 5 or 6, the numbers leave a remainder of 2. CAT Online coaching course by Handa Ka Funda: http://handakafunda.com/online

ii. When divided by 11, the numbers leave no remainder. The 6th number in this series will be: (1) 242

(2) 2882

(3) 3542

(4) 4202

(5) None of the above

Video Solution : https://www.wiziq.com/tutorial/970911-solved-example-number-system-11hcf-lcm

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