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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\04_Chapter_3\Chapter_3
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________
Chapter assessment
A. Choose the correct option.
1. The smallest palindromic number made with three different digits is
(a) 10021 (b) 10201
(c) 123321 (d) 01210
2. The sum of the smallest and the largest 2-digit palindromes is:
(a) 88 (b) 90
(c) 101 (d) 110
3. From which of the following numbers will you reach the Kaprekar constant in the least number of
rounds?
(a) 4716 (b) 3214
(c) 9874 (d) 8067
4. How many supercells are there in the table given below?
5 15 20 410 85
458 357 612 111 65
54 6 99 750 478
715 745 100 951 10
854 147 555 66 521
(a) 4 (b) 7
(c) 10 (d) 8
5. What will be the difference between the number 64891 and the number obtained by interchanging
the digits at the tens and thousands places?
(a) 4950 (b) 4590
(c) 4780 (d) 4710
6. Which of the following number sequence is as per the Collatz Conjecture?
(a) 88 → 44 → 22 → 11 → 10 → 5 → 16 → 8 → 4 → 2 → 1
(b) 9 → 28 → 14 → 7 → 22 → 11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 → 10 → 5 → 2 → 1
(c) 100 → 50 → 25 → 76 → 38 → 19 → 58 → 29 → 88 → 44 → 22 → 11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 →
10 → 5 → 16 → 8 → 4 → 2 → 1
(d) All of the above
B. Fill in the blanks.
1. A 5-digit number + a 5-digit number gives a .................... numbers.
2. A 5-digit palindrome number using the digits 2, 5, 4 is .................... .
3. 85400 = 2 × 40000 + 3 × 2000 – .................... .
4. There are .................... three-digit numbers in all.
5. By adding 1 to the greatest .................... digit number, we get ten lakhs.
99

