The numbers 11284 and 7655, when divided by a certain 3-digit number, give equal remainders. The 3-digit number is
190
191
192
192
For a question on division, it is known that the dividend is 37693, quotient is 52 and the remainder is more than 52 but less than 104. The divisor will be
722
723
724
724
A number, when divided by 65 gives the remainder 43. If it is divided by 13, the remainder will be
1
6
6
If the difference of the squares of two natural numbers is 37, then the sum of the squares of the numbers will be
690
687
685
685
C.
685
Let the numbers be x and y where x > y
x2 - y2 = 37 (Given)
⟹ (x + y) (x - y) = 37 x 1
∴ x + y = 37 and x - y = 1
A number when divided by 2736, leaves the remainder 75. If the same number is divided by 24, then the remainder is
12
3
0
0
A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is
0
2
1
1
If two numbers are in the ratio 2:3 and the ratio becomes 3:4 when 8 is added to both the numbers, then the sum of the two numbers is
40
10
100
100