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Published on: 29/10/2025
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1.
The blood groups of 30 students of Class VIII are recorded as follows: A,B,O,O,AB,O,A,O,B,A,O,B,A,O,O, A,AB,O,A,A,O,O,AB,B,A,O,B,A,B,O. Find the probability that a student of Class VIII selected at random has his blood group AB.
\(\frac { 1 }{ 10 } \)
\(\frac { 1 }{ 5 } \)
\(\frac { 1 }{ 6 } \)
\(\frac { 1 }{ 3 } \)
2.
The probability of guessing the correct answer to a certain question is \(\frac { x }{ 2 } \) . If the probability of not guessing the correct answer to the question is \(\frac { 2 }{ 3 } \) , then x=..............
\(\frac { 4 }{ 3 } \)
\(\frac { 3 }{ 4 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { 1 }{ 3 } \)
3.
In a survey, out of all students, 15% said 'no', 57% said 'yes' and the remaining said 'They could not decide'. If a student is chosen at random, what is the chance that the student did not say 'yes'?
15%
43%
57%
100%
4.
11 bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg) 4.97,5.05,5.08,5.03,5.00,5.06, 4.98, 5.04, 5.08, 5.07, 5.00. The probability that a bag chosen at random, contains more than 5 kg of flour is:
\(\frac { 2 }{ 11 } \)
\(\frac { 4 }{ 11 } \)
\(\frac { 9 }{ 11 } \)
\(\frac { 7 }{ 11 } \)
5.
A dice is tossed 100 times. The frequency of occurrence of numbers 1, 2, 3, 4, 5, 6 are given as under:
1 : 22, 2 : 28,3: 12,4: 14,5: 11,6: 13
A die is tossed again. The probability of an odd prime number is
0.23
0.50
0.49
0.73
6.
Ten cards numbered 1,2, ... , 10 are put in a box. If a card is drawn at random, then the probability that the card drawn is a prime number is:
\(\frac { 7 }{ 10 } \)
\(\frac { 3 }{ 5 } \)
\(\frac { 2 }{ 5 } \)
\(\frac { 1 }{ 2 } \)
7.
In the throw of a die in a game of Ludo, the probability of getting an even number is
1
0
1/2
2
8.
In the throw of a die in a game of snakes and ladder the probability of getting an even number is:
\(\frac { 1 }{ 2 } \)
\(\frac { 1 }{ 3 } \)
\(\frac { 1 }{ 6 } \)
1
9.
A card is drawn from a well-shuffled pack of cards. The chance of obtaining a face card is:
\(\frac { 2 }{ 13 } \)
\(\frac { 1 }{ 26 } \)
\(\frac { 3 }{ 13 } \)
\(\frac { 1 }{ 13 } \)
10.
A dice is thrown. What will be the probability of getting an even number?
\(\frac { 1 }{ 6 } \)
\(\frac { 1 }{ 2 } \)
\(\frac { 1 }{ 3 } \)
\(\frac { 2 }{ 3 } \)
11.
Two coins are tossed simultaneously 1000 times and we get
Two heads: 200 times
One head: 600 times
No head: 200 times
Find the probability of getting no head is
\(\frac { 1 }{ 5 } \)
\(\frac { 1 }{ 2 } \)
\(\frac { 1 }{ 4 } \)
1
12.
Two coins are tossed simultaneously 1000 times and we get
Two heads: 200 times
One head: 600 times
No head: 200 times
Find the probability of getting 1 head is
\(\frac { 1 }{ 5 } \)
\(\frac { 2 }{ 5 } \)
\(\frac { 3 }{ 5 } \)
\(\frac { 4 }{ 5 } \)
13.
Two coins are tossed simultaneously 1000 times and we get
Two heads: 200 times
One head: 600 times
No head: 200 times
Find the probability of getting two heads.
\(\frac { 1 }{ 4 } \)
\(\frac { 1 }{ 5 } \)
\(\frac { 1 }{ 2 } \)
\(\frac { 1 }{ 3 } \)
14.
In a class of 40 students, 25 are girls. The probability of selecting a boy is
\(\frac { 5 }{ 8 } \)
\(\frac { 3 }{ 8 } \)
1
0
15.
In a survey of 350 women, 132 were found to be working. If a woman is selected at random, the probability that she is not working is:
\(\frac { 66 }{ 175 } \)
\(\frac { 109 }{ 175 } \)
\(\frac { 43 }{ 175 } \)
1
16.
Area of a quadrilateral =
\(\frac { 1 }{ 2 } \times \) a diagonal \(\times \) sum of the perpendicular on the diagonal
a diagonal \(\times \) sum of the perpendicular on the diagonal
\(\frac { 1 }{ 3 } \times \) a diagonal \(\times \) sum of the perpendicular on the diagonal
\(\frac { 1 }{ 4 } \times \) a diagonal \(\times \) sum of the perpendicular on the diagonal
17.
Area of a parallelogram =
\(\frac { 1 }{ 2 } \times \)Base \(\times \) Height
Base \(\times \) Height
\(\frac { 1 }{ 4 } \times \)Base \(\times \) Height
\(\frac { 1 }{ 3 } \times \)Base \(\times \) Height
18.
Area of a rhombus =
\(\frac { 1 }{ 2 } \times \) product of diagonals
product of diagonals
\(\frac { 1 }{ 3 } \times \) product of diagonals
\(\frac { 1 }{ 4 } \times \) product of diagonals
19.
Area of a trapezium =
\(\frac { 1 }{ 2 } \times \) sum of parallel sides \(\times \)distance between the parallel sides
Sum of parallel sides \(\times \)distance between the parallel sides
\(\frac { 1 }{ 3} \times \) sum of parallel sides \(\times \)distance between the parallel sides
None of these
20.
A regular hexagon has a side 8 cm. Find its area.
\(=8\sqrt { 3 } \) cm2
\(=96\sqrt { 3 } \) cm2
\(=4\sqrt { 3 } \) cm2
\(=12\sqrt { 3 } \) cm2
21.
My garden is in the form of a trapezium whose parallel sides are 20 m and 16 m long respectively and the distance between them is 12 m.How much manure do I require for my garden if 1 m2 requires 200 g of manure?
43.2 kg
86.4 kg
21.6 kg
None of these
22.
The parallel sides of a trapezium are 45.8 cm and 81.2 cm and the distance between then is 22 cm.Find the area of the trapezium.
1397 cm2
1937 cm2โโโโโโโ
3197 cm2โโโโโโโ
139.7 cm2โโโโโโโ
23.
The perimeter of a rhombus is 20 cm.If one of its diagonals is 6 cm, then its area is
28 cm2
36 cm2
24 cm2
20 cm2
24.
The parallel sides of a trapezium are 32 cm and 20 cm and the distance between them is 15 cm.Find the area of the trapezium.
290 cm2
390 cm2โโโโโโโ
390 m2โโโโโโโ
400 m2โโโโโโโ
25.
The area of a rhombus is 96 cm2.If one of its diagonals is 16 cm, then the length of its sides is
12 cm
10 cm
8 cm
6 cm
26.
Area of a rhombus is 90 cm2 .One of its diagonals measures 10 cm.Length of the other diagonal is
18 cm
36 cm
80 cm
9 cm
27.
If the area of a square is 625 ares, then its perimeter is
250 m
500 m
1000 m
25 m
28.
The side of a square is 5 cm.Its perimeter is
5 cm
20 cm
25 cm
10 cm.
29.
1 are =
10 m2
100 m2
1000 m2
10000 m2
30.
1 hectare =
10 m2
100 m2
1000 m2
10000 m2
1.
Required probability=\(\frac { 3(number\ of\ AB's) }{ 30 } =\frac { 1 }{ 10 } \)
2.
\(\frac { x }{ 2 } +\frac { 2 }{ 3 } =1\)
3.
(b)
43%
4.
(d)
\(\frac { 7 }{ 11 } \)
5.
(a)
0.23
6.
(c)
\(\frac { 2 }{ 5 } \)
7.
Required probability=3/6
8.
Required probability=3/6
9.
There are 4 jacks, 4 queens and 4 kings (face
cards) in a pack,
Required probability =12/52
10.
Even numbers are 2, 4, 6, (Three)
Required probability =3/6
11.
Required probability=\(\frac { 200 }{ 1000 } =\frac { 1 }{ 5 } \)
12.
Required probability=\(\frac { 600 }{ 1000 } =\frac { 3 }{ 5 } \)
13.
Required probability=\(\frac { 200 }{ 1000 } =\frac { 1 }{ 5 } \)
14.
Required probability=\(\frac { 40-25 }{ 40 } \)
15.
Required probability= \(1-\frac { 132 }{ 350 } \)
16.
Formula
17.
Formula
18.
Formula
19.
Formula
20.
Area = 6\(\left\{ \frac { \sqrt { 3 } }{ 4 } { (8) }^{ 2 } \right\} \) = \(96\sqrt { 3 } \) cm2
21.
Area = \(\frac { (20+16)\times 12 }{ 2 } \) = 216 m2
\(\therefore \) Manure required = 216\(\times \)200 g = 43.2 kg
22.
Area = \(\frac { (45.8+81.2)\times 22 }{ 2 } \)
= 127\(\times \)11 = 1397 cm2
23.
(c)
24 cm2
24.
Area = \(\frac { (32+20)\times 15 }{ 2 } \) = 390 cm2
25.
(b)
10 cm
26.
(a)
18 cm
27.
(c)
1000 m
28.
Perimeter = 4\(\times \)5=20 cm.
29.
Formula
30.
Formula
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