A number N, when expressed in base 12 has 7 in its units place. What is the digit in the units place whenthe number N is converted into base 5?
2.
How many natural numbers exist such that in base5, the number is a 4-digit number and in base 6 the number is a three-digit number?
3.
In base n. 32x 45 = 2133. Express the number (424)10 in base n.
4.
(24634)7 + (34536)7 =
5.
If f (1) = 4, then find f 6(4).
6.
If g (2) = 3 and f (3) = 2 then find f (g (8)).
7.
Which of the following relations Is incorrect?
8.
In the figure (not drawn to scale) given below, find the area of the shaded region. (take ? = 3.14)
9.
If A (5, 7), B (2, 3) and C (- 2, 0) are the three consecutive vertices of a rhombus ABCD, then find the area of the rhombus ABCD. -
10.
The area of the triangle (in sq. units) formed by they-axis, the straight line L passing through (3. 4) and (6, 0) and a line perpendicular to L and passing through (2, 0), is closest to
