User Forum

A game consists of tossing a one rupee coin three times and noting its outcome each time. Hanif wins if all the tosses give the same result, i.e., three heads or three tails and loses otherwise. Calculate the probability that Hanif will lose the game.

A¹⁄₄
B¹⁄₂
C³⁄₄
D⁵⁄₈

If ‘a’ and ‘b’ are rational numbers and , then (a + b)² = _______.

A121
B171
C116
D198

Read the given statements carefully and state T for true and F for false.
(i) The value of k for which the equations x + 2y = 5 and 3x + ky - 15 = 0 has no solution, is 6.
(ii) The system of equations 3x - 5y = 20 and 6x - 10y = 40 has infinitely many solutions.
(iii) If the sum of the digits of a two digit number is 8 and difference between the number and the number formed by reversing the digits is 18, then the number is 34.

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