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111) The number of prime numbers between 51 and 90 are
51 మరియు 90ల మధ్య గల ప్రధాన సంఖ్యల సంఖ్య
A) 10
B) 7
C) 9
D) 8
Explanation:Let’s find prime numbers between 51 and 90 (excluding 51 and 90 if not prime, but “between” often means exclusive of endpoints unless stated).
Step 1: List numbers between 51 and 90:
52 to 89.
Step 2: Identify primes in that range:
– Check each odd number (even numbers except 2 are not prime):
53 (prime)
55 (divisible by 5, no)
57 (divisible by 3, 5+7=12 divisible by 3, no)
59 (prime)
61 (prime)
63 (divisible by 3, no)
65 (divisible by 5, no)
67 (prime)
69 (divisible by 3, no)
71 (prime)
73 (prime)
75 (divisible by 5, no)
77 (divisible by 7, no)
79 (prime)
81 (divisible by 3, no)
83 (prime)
85 (divisible by 5, no)
87 (divisible by 3, no)
89 (prime)
Step 3: List primes:
53, 59, 61, 67, 71, 73, 79, 83, 89.
Count them: 9 primes.
112) The number of vertices in triangular prism are
త్రిభుజాకార పట్టకంలో శీర్ఘాల సంఖ్య
A) 4
B) 6
C) 9
D) 8
113) The number of points on a straight line are
సరళ రేఖపై ఉండే బిందువుల సంఖ్య
A) one
ఒకటి
B) zero
సున్నా
C) two
రెండు
D) infinite
అనంతం
114) The number of even divisors of 100 are
100 యొక్క సరి భాజకాల సంఖ్య
A) 5
B) 8
C) 7
D) 6
Explanation:Prime factorization of 100:
Even divisors must include factor 2.
Even divisors are:
2, 4, 10, 20, 50, 100
Total = 6