Page 100 - Ganit Kaushal

Chapter Test

I. Multiple choice questions (MCQs)

1. 5 × 10000 + 8 × 1000 + 6 × 100 + 0 × 10 + 5 is the same as
(a) 5865 (b) 58605 (c) 58650 (d) 586506

2. In the Indian system of numeration, the number 76584732 is written as
(a) 7,65,84,732 (b) 76,58,47,32 (c) 76,584,732 (d) 765,84,732

3. The largest 4-digit number, using any one digit twice of 3, 8, 9, 7 is
(a) 9873 (b) 9783 (c) 9899 (d) 9987

4. 5 million is equal to
(a) 5 lakh (b) 50 lakh (c) 5 crore (d) 50 crore

5. The largest 6-digit number having three different digits is
(a) 998877 (b) 989799 (c) 999987 (d) 9879879

6. The number of whole numbers between 45 and 75 is
(a) 30 (b) 26 (c) 29 (d) 28

7. The Collatz Sequence starting with 21 has
(a) 5 terms (b) 6 terms (c) 7 terms (d) 8 terms
8. The smallest number whose digit sum is 14 is

(a) 59 (b) 68 (c) 77 (d) All of the above

9. In the game of heights, two consecutive children can say
(a) 0 (b) 1 (c) 2 (d) none of these

II. Fill in the blanks.
1. The famous mathematician D. R. Kaprekar was an _______ mathematician.

2. Supercells are defined as the cells having numbers greater than their _______ cells.
3. In a supercell table, we cannot have two _______ supercells in a row.

4. The maximum number of rounds of the Kaprekar procedure one needs to apply to a 4-digit number
to get the Kaprekar constant is _______ .

III. State whether the following statements are True or False.
1. Among the numbers 1 to 100, the digit 5 will occur 21 times.

2. In a supercell table, we cannot have two consecutive supercells in a diagonal.

3. The greatest 5-digit number with three different digits is 99978.
4. One needs a maximum of five rounds of the Kaprekar procedure to reach the Kaprekar constant.
5. If we divide 33 by 4, according to the division algorithm it can be written as 33 = 4 × 7 + 5.

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