The units digit of a two-digit number is 3 and seven times the sum of the digits is the number itself. Find the number.

In a two-digit number, the digit at the unit place is double the digit in the tens place. The number exceeds the sum of its digits by 18. Find the number.

A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, its digits are reversed. Find the number.

The sum of the digits of a two-digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9. Find the original number.

The difference between a 2-digit number and the number obtained by interchanging its digits is 63. What is the difference between the digits of the number?

In a 3-digit number, the tens digit is thrice the units digit and the hundreds digit is four times the units digit. Also, the sum of its digits is 16. Find the number.

Test the divisibility of each of the following numbers by 2:

(i) 94

(ii) 570

(iii) 285

(iv) 2398

(v) 79532

(vi) 13576

(vii) 46821

(viii) 84663

(ix) 66669

Test the divisibility of each of the following numbers by 5:

(i) 95

(ii) 470

(iii) 1056

(iv) 2735

(v) 55053

(vi) 35790

(vii) 98765

(viii) 42658

(ix) 77990

Test the divisibility of each of the following numbers by 10:

(i) 205

(ii) 90

(iii) 1174

(iv) 57930

(v) 60005

Test the divisibility of each of the following numbers by 3:

(i) 83

(ii) 378

(iii) 474

(iv) 1693

(v) 60005

(vi) 67035

(vii) 591282

(viii) 903164

(ix) 100002

Test the divisibility of each of the following numbers by 9:

(i) 327

(ii) 7524

(iii) 32022

(iv) 64302

(v) 89361

(vi) 14799

(vii) 66888

(viii) 30006

(ix) 33333

Test the divisibility of each of the following numbers by 4:

(i) 134

(ii) 618

(iii) 3928

(iv) 50176

(v) 39392

(vi) 56794

(vii) 86102

(viii) 66666

(ix) 99918

(x) 77736

Test the divisibility of each of the following numbers by 8:

(i) 6132

(ii) 7304

(iii) 59312

(iv) 66664

(v) 44444

(vi) 154360

(vii) 998818

(viii) 265472

(ix) 7350162

Test the divisibility of each of the following numbers by 11:

(i) 22222

(ii) 444444

(iii) 379654

(iv) 1057982

(v) 6543207

(vi) 818532

(vii) 900163

(viii) 7531622

Test the divisibility of each of the following numbers by 7:

(i) 693

(ii) 7896

(iii) 3467

(iv) 12873

(v) 65436

(vi) 54636

(vii) 98175

(viii) 88777

Find all possible values of x for which the number 7x3 is divisible by 3. Also, find each such number.

Find all possible values of y for which the number 53y1 is divisible by 3. Also, find each such number.

Find the value of x for which the number x806 is divisible by 9. Also, find the number.

Find the value of z for which the number 471z8 is divisible by 9. Also, find the number.

Give five examples of numbers, each one of which is divisible by 3 but not divisible by 9.

Give five examples of numbers, each one of which is divisible by 4 but not divisible by 8.

Find two numbers whose product is a 1-digit number and the sum is a 2-digit number.

Find three whole numbers whose product and sum are equal.

Complete the magic square given below, so that the sum of the numbers in each row or in each column or along each diagonal is 15.

Fill in the numbers from 1 to 6 without repetition, so that each side of the triangle adds up to 12.

Fibonacci numbers Take 10 numbers as shown below:

a, b, (a + b), (a + 2b), (2a + 3b), (3a + 5b), (5a + 8b), (8a + 13b), (13a + 21b), and (21a + 34 b). Sum of all these numbers =11(5a + 8b) = 1 1 x 7th number.

Taking a = 8, b =13; write 10 Fibonacci numbers and verify that sum of all these numbers =11 x 7th number.

Complete the magic square:

If 5x6 is exactly divisible by 3, then the least value of x is

If 64y8 is exactly divisible by 3, then the least value of y is

If 7x8 is exactly divisible by 9, then the least value of x is

If 37y4 is exactly divisible by 9, then the least value of y is

If 4xy7 is exactly divisible by 3, then the least value of (x + y) is

If x7y5 is exactly divisible by 3, then the least value of (x + y) is

If x4y5z is exactly divisible by 9, then the least value of (x + y + z) is

If 1A2B5 is exactly divisible by 9, then the least value of (A + B) is

If the 4-digit number x27y is exactly divisible by 9, then the least value of (x + y) is

Find all possible values of x for which the 4-digit number 320x is divisible by 3. Also, find the numbers.

Find all possible values of y for which the 4-digit number 64y3 is divisible by 9. Also, find the numbers.

The sum of the digits of a 2-digit number is 6. The number obtained by interchanging its digits is 18 more than the original number. Find the original number.

Which of the following numbers are divisible by 9?

(i) 524618

(ii) 7345845

(iii) 8987148

Replace A, B, C by suitable numerals:

Replace A, B, C by suitable numerals:

Find the values of A, B, C when

If 7 × 8 is exactly divisible by 3, then the least value of x is

If 6x5 is exactly divisible by 9, then the least value of x is

If x48y is exactly divisible by 9, then the least value of (x + y) is

If 486*7 is divisible by 9, then the least value of * is