Page 357 - Math_Genius_V1.0_C8_Flipbook

E:\Working\Focus_Learning\Math_Genius-8\Open_Files\20_Chapter_15\Chapter_15
\ 06-Jan-2025 Surendra Prajapati Proof-6 Reader’s Sign _______________________ Date __________

3. The sum of the digits of a 2-digit number is 6. If the digits are reversed, the new number so formed
is increased by 18. The original number is ............... .
4. If A3 + 8B = 150, then the value of A + B is ............... .
5. 3y5 is divisible by 11, if the digit y is ............... .

D. State whether the following statements are True (T) or False (F).
1. The generalised form of a 3-digit number abc is 100c + 10a + b.
2. If AB × B = 96, then A + B = 15.
st
3. The magic sum/constant of a magic square is equal to the order of the magic square × sum of 1
row of square.
4. 645 – 546 is always divisible 99.
5. If 793x0 is a multiple of 3, where x is a digit, the value of x is 3.

E. Match the following.
Column A Column B
1. Divisible by 15 (a) 61,809
2. Divisible by 12 (b) 51,435

3. Divisible by 14 (c) 86,422
4. Divisible by 33 (d) 51,432
F. Solve the following questions.

1. Verify that the sum of 45 and the number obtained by reversing the digits is a multiple of 11.
2. Replace the letters by using suitable numerals to solve the following Cryptarithmetic puzzle.
(a) 6 2 (b) 4 A (c) 3 1 A (d) 4 1
+ A B + 9 8 + 1 A 3 – B A
1 0 1 C B 3 5 0 1 1 4
(e) 5 3 P (f) B 1 8 (g) A B
– 2 Q 5 – A B 1 × C
R 9 6 2 A B 2 6 0

3. Find the value of A, B, and C in
A B
× 6
C 7 8

4. If x and y are two 2-digit numbers such that x + y = 110 and the difference between x and y is 20,
then find the numbers.
5. Use the digits from 1 to 9 to find the values of the following letters, where each letter has a different
value: AB × C = DE and DE + FG = HI.

6. Write any five numbers which are divisible by 2, 3, 4, 5, and 6.
7. If xyz be any 3-digit number, verify that xyz + yzx + zxy is divisible by x + y + z.
8. Fill in the numbers from 1 to 10 without repetition, so that each row or column adds up to 18.

355