51)From a tower of 120 m high, the angle of depression of a car is 30°. Find how far the car is from the tower.
A) 120/√3 m
B) 60√3 m
C) 80√3 m
D) 120√3 m
View Answer
D) 120√3 m
Explanation:From the figure
tan 30° = AB/BC
1/√3 = 120/BC ⇒BC = 120√3
∴ Distance to the car from the tower
= 120√3m
52)The probability of an impossible event is
A) 3
B) 1
C) 2
D) 0
View Answer
D) 0
53)A box contains 7 red marbles, 8 white marbles. What is the possibility of not getting red marble?
A) 7/15
B) 8/15
C) 2/15
D) None
View Answer
B) 8/15
Explanation:Total marbles in a box = 7 red + 8 white = 15 marbles
No. of red marbles = 7
Probability of getting red marbles Probability of not getting red marbles = p(E) = 7/15
Probability of not getting red marbles = P(E) = 1-P(E)
= 1 – 7/15
= 8/15
54)One card is drawn from a well – shuffled deck of 52 cards. What is the probability of getting an ace?
A) 1/13
B) 2/13
C) 3/13
D) 4/13
View Answer
A) 1/13
Explanation:No. of cards in a deck = 52
No. of Aces in a deck = 4
∴ Required probability= P(E) = 4/52 = 1/13
55)If a die is rolled once, what is the probability of getting a prime number?
A) 2
B) 1
C) 1/4
D) 1/2
View Answer
D) 1/2
Explanation:Total out comes are 1, 2, 3, 4, 5, 6
No. of out comes = 6
Favorable out comes are = 2, 3, 5
No. of favorable out comes = 3
∴ Required probability = 3/6
= 1/2
56)The mean of 6, 5, 4, x, 2 is 4. What is the value of x?
A) 3
B) 4
C) 5
D) 6
View Answer
A) 3
Explanation:Mean of 6, 5, 4, x, 2 is 4
X = = 4
17+x = 20
⇒ x = 20-17
= 3
57)What is the median of 16, 12, 4, 5, 6?
A) 5
B) 16
C) 6
D) 12
View Answer
C) 6
Explanation:Ascending order = 4, 5, 6, 12, 16
Median = (n+1)/2
= (5+1)/2
= 6/2
= 3rd item
∴ Median = 6
58)Find mode of 7, 2, 3, 4, 3, 3, 4.
A) 2
B) 4
C) 7
D) 3
View Answer
D) 3
59)The mid values of the class is used to calculate
A) Arithmetic mean
B) Median
C) Mode
D) None
View Answer
A) Arithmetic mean
60)If Median = 60, Mean = 61, then Mode =
A) 58
B) 38
C) 48
D) 68
View Answer
A) 58
Explanation:Mode = 3 Median – 2 Mean
= 3 x 60 — 2 x 61
= 180- 122
= 58
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= 4