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How many such symbols are there each of which is immediately preceded by a digit and how many such digits are there each of which is immediately preceded by a symbol. What is total number of both those?
A F 9 V δ 9 V @ S 2 G R A 3 Q £ B Z 7 C Y Δ T 4 8 P F 6 @ $ 5 E H B J δ

A3
B1
C2
DNone of these

Which of the following Venn diagrams best represents the relationship amongst, 'Gas, Water and Helium'?

A
B
C
D

In the given figure, PQL and PRM are tangents to the circle with centre O at the points Q and R, respectively and S is a point on the circle such that ∠SQL = 50° and ∠SRM = 60°. Then, ∠QSR is equal to ______.


A60°
B70°
C50°
D55°

Obtain all the zeroes of the polynomial f(x) = 3x⁴ + 6x³ – 2x² – 10x –5, if two of its zeros are and – .

A 1, –1
B 1, 1
C –1, –1
D 1, 0

Which of the following statements is incorrect?
(A) Sum of n terms of the list of numbers .

(B) The common difference of the A.P. given by an = 3n + 2 is 3.
(C) The sum of the A.P. (–5), (–8), (–11), ..., (–230) is – 8930.

A Only (A)
B Only (B)
C Both (A) and (B)
D (A), (B) and (C)

If 2 is a root of the equation x² + bx + 12 = 0 and the equation x² + bx + q = 0 has equal roots, then q is equal to

A 8
B –8
C 16
D –16

Out of group of Swans, times the square root of number of Swans are playing on the shore of the tank. Remaining two are quarreling in the water. Find the total number of swans and the number of Swans playing on the shore of the tank respectively.

A14, 16
B16, 12
C14, 12
D16, 14

In a trapezium ABCD, AB∥DC, DC = 2AB and EF∥AB, where E and F lie on BC and AD respectively such that If diagonal DB intersects EF at G, then 7EF = kAB. Find the value of k.

A7
B9
C10
D11

The rationalising factor of is ____.

A
B
C
D

How many values of c, for which the system of equations
6x + 3y = c – 3, 12x + cy = c
has infinitely many solutions?

A 1
B 2
C 3
D Infinite