User Forum

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

Given below are the steps of construction of a pair of tangents to a circle of radius 6 cm from a point on the concentric circle of radius 8 cm. Find which of the following steps is INCORRECT?
Steps of Construction
Step I : Take a point O on the plane paper and draw a circle of radius OA = 6 cm. Also, draw a concentric circle of radius OB = 8 cm.
Step II : Find the mid-point A of OB and draw a circle of radius BA = AO. Suppose this circle intersects the circle of radius 6 cm at P and Q.
Step III : Join BP and BQ to get the desired tangents.

A Step I
B Step II
C Step I and Step II
D Step II and Step III

The algebraic sum of the deviations of a frequency distribution from its mean is _____.

A Always positive
B Always negative
C 0
D A non-zero number

Which of the following statements is INCORRECT ?
(i) In order to divide a line segment internally in the ratio m : n, both m and n are real numbers.
(ii) A pair of tangents can be constructed to a circle inclined at an angle of 165°.

AOnly (i)
BOnly (ii)
CBoth (i) and (ii)
DNeither (i) nor (ii)

In each of the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of Fig. (X) would complete the pattern.


A
B
C
D

Which of the following is the mirror image of the given combination, when mirror is kept vertically left?
4Q2PR345Z

A
B
C
D

A transparent sheet (x) with a pattern and a dotted line is given. Select a figure from the option as to how the pattern would appear. When the transparent Sheet (x) is folded along the dotted line.


A
B
C
D