If 3 is the logarithm of 343, then the base is

(a)

5

(b)

7

(c)

6

(d)

9

If the arcs of same lengths in two circles sustend central angles 30° and 40° find the ratio of their radii _______________

(a)

3 : 4

(b)

4 : 3

(c)

7 : 12

(d)

none of these

The value of cos 20°- sin 20° is _______________

(a)

positive

(b)

negative

(c)

0

(d)

1

If ⁿC₄,ⁿC₅,ⁿC₆ are in AP the value of n can be

(a)

14

(b)

11

(c)

9

(d)

5

Each of five questions is a multiple-choice test has 4 possible answers. The number of different sets of possible answers is  _________

(a)

4⁵-4

(b)

5⁴-5

(c)

1024

(d)

1023

If the two straight lines x + (2k -7)y + 3 = 0 and 3kx + 9y - 5 = 0 are perpendicular then the value of k is

(a)

k = 3

(b)

\(k=\frac13\)

(c)

\(k=\frac23\)

(d)

\(k=\frac32\)

If co-ordinate axes are the angle bisectors of the pair of lines ax²+ 2hxy + by² = 0 then ______________

(a)

a = b

(b)

h = 0

(c)

a + b = 0

(d)

a²+ b² = 0

The co-ordinates of a point on x + y + 3 = 0 whose distance from x + 2y + 2 = 0 is \(\sqrt 5\), is ______________

(a)

(9, 6)

(b)

(-9, 6)

(c)

(6, -9)

(d)

(-9, -6)

If \(|\overrightarrow{a}|=13,|\overrightarrow{b}|=5\)  and \(\overrightarrow{a}.\overrightarrow{b}=60^o\) then \(|\overrightarrow{a}\times\overrightarrow{b}|\) is

(a)

15

(b)

35

(c)

45

(d)

25

A man has 3 fifty rupee notes, 4 hundred rupees notes, and 6 five hundred rupees notes in his pocket. If 2 notes are taken at random, what are the odds in favour of both notes being of hundred rupee denomination?

(a)

1:12

(b)

12:1

(c)

13:1

(d)

1:13