M.C.Q (1 Marks)

MCQ 11 Mark

Two dice are thrown at the same time and the product of the numbers appearing on them is noted. The probability that the product of the numbers lies between 8 and 13 is :

✓
$\frac{7}{36}$
B
$\frac{5}{36}$
C
$\frac{2}{9}$
D
$\frac{1}{4}$

Answer

Correct option: A.

$\frac{7}{36}$

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MCQ 21 Mark

If the length of the shadow on the ground of a pole is $\sqrt{3}$ times the height of the pole, then the angle of elevation of the Sun is :

✓
$30^{\circ}$
B
$45^{\circ}$
C
$60^{\circ}$
D
$90^{\circ}$

Answer

Correct option: A.

$30^{\circ}$

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MCQ 31 Mark

If the length of an arc of a circle subtending an angle $60^{\circ}$ at its centre is 22 cm , then the radius of the circle is :

A
$\sqrt{21} cm$
✓
21 cm
C
$\sqrt{42} cm$
D
42 cm

Answer

Correct option: B.

21 cm

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MCQ 41 Mark

The point on x -axis which is equidistant from the points $(5,-3)$ and $(4,2)$ is :

A
$(4.5,0)$
✓
$(7,0)$
C
$(0.5,0)$
D
$(-7,0)$

Answer

Correct option: B.

$(7,0)$

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MCQ 51 Mark

If $\tan ^2 \theta+\cot ^2 \alpha=2$, where $\theta=45^{\circ}$ and $0^{\circ} \leq \alpha \leq 90^{\circ}$, then the value of $\alpha$ is :

A
$30^{\circ}$
✓
$45^{\circ}$
C
$60^{\circ}$
D
$90^{\circ}$

Answer

Correct option: B.

$45^{\circ}$

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MCQ 61 Mark

The probability of getting a chocolate flavoured ice cream at random, in a lot of 600 ice creams is 0.055 . The number of chocolate flavoured ice creams in the lot is :

✓
33
B
55
C
11
D
44

Answer

Correct option: A.

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MCQ 71 Mark

The diagonals of a rhombus ABCD intersect at O . Taking ' O ' as the centre, an arc of radius 6 cm is drawn intersecting $O A$ and $O D$ at $E$ and $F$ respectively. The area of the sector OEF is :

✓
$9 \pi cm^2$
B
$3 \pi cm^2$
C
$12 \pi cm^2$
D
$18 \pi cm^2$

Answer

Correct option: A.

$9 \pi cm^2$

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MCQ 81 Mark

The $7^{\text {th }}$ term from the end of the A.P. : $-8,-5,-2, \ldots, 49$ is :

A
67
B
13
✓
31
D
10

Answer

Correct option: C.

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MCQ 91 Mark

A cap is cylindrical in shape, surmounted by a conical top. If the volume of the cylindrical part is equal to that of the conical part, then the ratio of the height of the cylindrical part to the height of the conical part is :

A
$1: 2$
✓
$1: 3$
C
$2: 1$
D
$3: 1$

Answer

Correct option: B.

$1: 3$

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MCQ 101 Mark

The value of $\left(\sin ^2 \theta+\frac{1}{1+\tan ^2 \theta}\right)$ is :

A
$0$
B
2
✓
1
D
-1

Answer

Correct option: C.

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MCQ 111 Mark

$P Q$ is a diameter of a circle with centre $O(2,-4)$. If the coordinates of the point $P$ are $(-4,5)$, then the coordinates of the point $Q$ will be :

A
$(-3,4.5)$
B
$(-1,0.5)$
C
$(4,-5)$
✓
$(8,-13)$

Answer

Correct option: D.

$(8,-13)$

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MCQ 121 Mark

All queens, jacks and aces are removed from a pack of 52 playing cards. The remaining cards are well-shuffled and one card is picked up at random from it. The probability of that card to be a king is :

✓
$\frac{1}{10}$
B
$\frac{1}{13}$
C
$\frac{3}{10}$
D
$\frac{3}{13}$

Answer

Correct option: A.

$\frac{1}{10}$

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MCQ 131 Mark

In the given figure, if M and N are points on the sides OP and OS respectively of $\triangle OPS$, such that MN || PS, then the length of OP is :

A
6.8 cm
B
17 cm
✓
15.3 cm
D
9.6 cm

Answer

Correct option: C.

15.3 cm

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MCQ 141 Mark

In the given figure, PA and PB are two tangents drawn to the circle with centre O and radius 5 cm . If $\angle APB =60^{\circ}$, then the length of PA is :