M.C.Q (1 Marks)

MCQ 11 Mark

In the given figure, graphs of two linear equations are shown. The pair of these linear equations is :

✓
consistent with unique solution.
B
consistent with infinitely many solutions.
C
inconsistent.
D
inconsistent but can be made consistent by extending these lines.

Answer

Correct option: A.

consistent with unique solution.

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MCQ 21 Mark

The centre of a circle is at $(2,0)$. If one end of a diameter is at $(6,0)$, then the other end is at :

A
$(0,0)$
B
$(4,0)$
C
$(-2,0)$
D
$(-6,0)$

Answer

c $(-2,0)$

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MCQ 31 Mark

Two dice are rolled together. The probability of getting sum of numbers on the two dice as 2,3 or 5 , is :

A
$\frac{7}{36}$
B
$\frac{11}{36}$
C
$\frac{5}{36}$
D
$\frac{4}{9}$

Answer

a $\frac{7}{36}$

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MCQ 41 Mark

The volume of the largest right circular cone that can be carved ou from a solid cube of edge 2 cm is :

A
$\frac{4 \pi}{3} cu cm$
B
$\frac{5 \pi}{3} cu cm$
C
$\frac{8 \pi}{3} cu cm$
D
$\frac{2 \pi}{3} cu cm$

Answer

d $\frac{2 \pi}{3} cu cm$

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MCQ 51 Mark

The middle most observation of every data arranged in order is called:

A
mode
B
median
C
mean
D
deviation

Answer

b median

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MCQ 61 Mark

A solid sphere is cut into two hemispheres. The ratio of the surface areas of sphere to that of two hemispheres taken together, is :

A
$1: 1$
B
$1: 4$
C
$2: 3$
D
$3: 2$

Answer

c $2: 3$

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MCQ 71 Mark

If $\cos (\alpha+\beta)=0$, then value of $\cos \left(\frac{\alpha+\beta}{2}\right)$ is equal to :

A
$\frac{1}{\sqrt{2}}$
B
$\frac{1}{2}$
C
$0$
D
$\sqrt{2}$

Answer

a $\frac{1}{\sqrt{2}}$

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MCQ 81 Mark

If the distance between the points $(3,-5)$ and $(x,-5)$ is 15 units, then the values of $x$ are :

A
$12,-18$
B
$-12,18$
C
18,5
D
$-9,-12$

Answer

b $-12,18$

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MCQ 91 Mark

The zeroes of a polynomial $x^2+p x+q$ are twice the zeroes of the polynomial $4 x^2-5 x-6$. The value of $p$ is :

A
$-\frac{5}{2}$
B
$\frac{5}{2}$
C
-5
D
10

Answer

a $-\frac{5}{2}$

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MCQ 101 Mark

For some data $x_1, x_2, \ldots \ldots x_n$ with respective frequencies $f_1, f_2, \ldots . . f_n$, the value of $\sum_1^n f_i\left(x_i-\bar{x}\right)$ is equal to:

A
$n \bar{x}$
B
1
C
$\sum f_i$
D
$0$

Answer

d $0$

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MCQ 111 Mark

From the data $1,4,7,9,16,21,25$, if all the even numbers are removed, then the probability of getting at random a prime number from the remaining is :

A
$\frac{2}{5}$
B
$\frac{1}{5}$
C
$\frac{1}{7}$
D
$\frac{2}{7}$

Answer

b $\frac{1}{5}$

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MCQ 121 Mark

If $\sec \theta-\tan \theta=m$, then the value of $\sec \theta+\tan \theta$ is :

A
$1-\frac{1}{m}$
B
$m^2-1$
C
$\frac{1}{m}$
D
$-m$

Answer

c $\frac{1}{m}$

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MCQ 131 Mark

AD is a median of $\triangle ABC$ with vertices $A (5,-6), B (6,4)$ and $C (0,0)$. Length $A D$ is equal to :

A
$\sqrt{68}$ units
B
$2 \sqrt{15}$ units
C
$\sqrt{101}$ units
D
10 units

Answer

a $\sqrt{68}$ units

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MCQ 141 Mark

If two positive integers $p$ and $q$ can be expressed as $p=18 a^2 b^4$ and $q=20 a^3 b^2$, where $a$ and $b$ are prime numbers, then $\operatorname{LCM}(p, q)$ is: