A number gets reduced to one-third when 48 is subtracted from it. What will be two-third of that number?
24
72
96
None of these
The distance between two places is 12 km. A map scale is 1:25000. The distance between the two places on the map, (in cm) is
24
36
48
60
When half of a number is increased by 15, the result is 39. The sum of digits of the original number is
6
7
9
12
The hundreds digit of a three-digit number is 7 more than the units digit. The digits of the number are reversed and the resulting number is subtracted from the original three-digit number. The units digit of the final number so obtained is
0
1
2
3
D.
3
Let the three-digit number be 100x +10y+ z
As per question , x = 7 + z .........(i)
On Reversing the number we get : 100z + 10 y + x....(ii)
Now subtracting (ii) From (i)
100x+10y+z-100z-10y-x
=99x-99z
=99(x-z)
=99 x 7 [ from eqn (i) ]
=693
Hence the unit digit will be 3
Rani, who is y yr old at present, is x yr older than Hamid. 15 yr ago, Hamid's age was of the age of Rani. Which of the following is true?
3y-4x= 45
2y-x= 15
-15=
3x-4y= 45