Write the following numbers in the generalized form:
(i) 89
(ii) 207
(iii) 369
Write the quotient, when the sum of a 2-digit number 34 and number obtained by
reversing the digits is divided by
(i) 11
(ii) sum of digits
Write the quotient when the difference of a 2-digit number 73 and number
obtained by reversing the digits is divided by
(i) 9
(ii) a difference of digits
Without actual calculation, write the quotient when the sum of a 3-digit number
ABC and the number obtained by changing the order of digits cyclically i.e. BCA and
the CAB is divided by
(i) 111
(ii) (a + b + c)
(iii) 37
(iv) 3
Write the quotient when the difference of a 3-digit number 843 and number
(i) 99
(ii) 5
The sum of the digits of a 2-digit number is 11. If the number obtained by reversing
the digits are 9 less than the original number, find the number.
If the difference of a two-digit number and the number obtained by reversing the
digits are 36, find the difference between the digits of the 2-digit number.
If the sum of two-digit number and number obtained by reversing the digits is 55,
find the sum of the digits of the 2-digit number.
In a 3-digit number, the unit’s digit, ten’s digit, and hundred’s digit are in the ratio 1 :
2 : 3. If the difference of the original number and the number obtained by reversing the
digits is 594, find the number
In a 3-digit number, the unit’s digit is one more than the hundred’s digit and ten’s
digit is one less than the hundred’s digit. If the sum of the original 3-digit number
and numbers obtained by changing the order of digits cyclically is 2664, find the
number.
Find the values of the letters in each of the following and give reasons for the steps
involved (1 to 11):
1.
involved
Find the values of the letters in each of the following and give reasons for the steps involved
Find the values of the letters in each of the following and give reasons for the step involved
Fill in the numbers from 1 to 6 (without repetition) so that each side of the magic
triangle adds up to 12.
Complete the magic square given alongside using number 0, 1, 2, 3, ……., 15
(only once), so that sum along each row, column, and diagonal is 30.
Fill in the blanks to complete the following number triangle
Which of the following numbers are divisible by 5 or by 10:
(i) 87035
(ii) 75060
(iii) 9685
(iv) 10730
Which of the following numbers are divisible by 2, 4 or 8:
(i) 67894
(ii) 5673244
(iii) 9685048
(iv) 6533142
(v) 75379
Which of the following numbers are divisible by 3 or 9:
(i) 45639
(ii) 301248
(iii) 567081
(iv) 345903
(v) 345046
Which of the following numbers are divisible by 11:
(i) 10835
(ii) 380237
(iii) 504670
(iv) 28248
Which of the following numbers are divisible by 6:
(i)15414
(ii) 213888
(iii) 469876
Which of the following numbers are divisible by 7:
(i) 46f8894875
(ii) 3794856
(iii) 39823
(i) If 34x is a multiple of 3, where x is a digit, what is the value of x?
(ii) If 74 × 5284 is a multiple of 3, where x is a digit, find the value(s) of x.
If 42z3 is a multiple of 9, where z is a digit, what is the value of z?
In each of the following replace × by a digit so that the number formed is divisible
by 9:
(i) 49 × 2207
(ii) 5938 × 623
In each of the following replace * by a digit so that the number formed is
divisible by 6:
(i) 97 × 542
(ii) 709 × 94
divisible by 11:
(i) 64 × 2456
(ii) 86 × 6194
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