21) Which of the following cannot be a probability?
A)
B) 15%
C) 0.7
D) -1.5
View Answer
D) -1.5
Explanation:Probability must be between 0 and 1
Answer: −1.5 (Not valid)
22) If P(E) =, then:
A) 1 – P(E)
B) 1 + P(E)
C) P(E) – 1
D) None of these
View Answer
A) 1 – P(E)
Explanation:The question is incomplete, assuming it meant: If P(E) = p, then P(not E) = ?
Answer: 1 − P(E)
23) Which of the following has equally likely outcomes?
A) Tossing a coin
B) Tossing two coins simultaneously
C) Rolling two dice
D) All of the above
View Answer
D) All of the above
Explanation:All listed have equally likely outcomes
Answer: All of the above
24) A card is drawn from a set of 52 cards. The probability of getting a queen card is:
View Answer
C)
Explanation:4 Queens in 52 cards → P = 4/52 = 1/13
Answer:
25) Ram and Syam are friends. Probability that both will have same birthday is:
View Answer
B)
Explanation:Probability of same birthday: 1/365
Answer:
26) 491400 =
A) 23 × 33 × 53 × 7 × 13
B) 23 × 33 × 52 × 7 × 13
C) 23 × 32 × 52 × 7 × 13
D) 22 × 32 × 52 × 7 × 13
View Answer
B) 2
3 × 3
3 × 5
2 × 7 × 13
Explanation:Prime factor 491400 =
Use divisibility:
491400 =
27) Which of the following is not irrational?
A) 5 – √3
B) 7 – √4
C) √2 + √3
D) √2 – √3
View Answer
B) 7 – √4
Explanation:7 − √4 = 7 − 2 = 5 (rational)
Answer: 7 − √4
28) Which of the following is true?
A) HCF(p × q × r) × LCM(p × q × r) = p × q × r
B) HCF(p × q × r) + LCM(p × q × r) = p × q × r
C) HCF(p × q × r) × LCM(p × q × r) ≠ p × q × r
D) HCF(p × q × r) – LCM(p × q × r) = p × q × r
View Answer
A) HCF(p × q × r) × LCM(p × q × r) = p × q × r
Explanation:HCF × LCM = product of numbers
Answer: HCF(pqr) × LCM(pqr) = pqr
29) A prime number p divides a2 where a is a positive integer, then
A) p divides a
B) p does not divide a
C) p is equal to a
D) All of these
View Answer
A) p divides a
Explanation:If p | a² ⇒ p | a (by prime property)
Answer: p divides a
30) The zero of linear polynomial ax + b is:
View Answer
D)
Explanation:Zero of ax + b = 0 ⇒ x = −b/a
Answer:
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