Problems on Numbers with Solutions Pdf - 2
Question: 6
The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the four preceding terms are also prime is
(A) 17
(B) 29
(C) 37
(D) 53
Ans: B
The required arithmetic sequence of five prime numbers is 5, 11, 17, 23, 29 and therefore, the required 5th term is 29.
Question: 7
An integer us divisible by 16 if and only if its last X digits are divisible by 16. The value of X would be
(A) 3
(B) 4
(C) 5
(D) 6
Ans: B
An integer is divisible by 16, if the number formed by last 4 digits is divisible by 16.
Question: 8
The smallest number of 5 digit beginning with 3 and ending with 5 will be
(A) 31005
(B) 30015
(C) 30005
(D) 30025
Ans: C
Required number = 30005.
Question: 9
The sum of all the prime numbers from 1 to 20 is
(A) 75
(B) 76
(C) 77
(D) 78
Ans: C
Sum of all prime numbers from 1 to 20
= (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19) = 77.
Question: 10
Symbiosis runs a Corporate Training Programme. At the end of running the first programme, its total takings were Rs. 38950. There were more than 45 but less than 100 participants. What was the participant fee for the programme?
(A) Rs. 410
(B) Rs. 450
(C) Rs. 500
(D) Rs. 510
Ans: A
38950 is completely divisible by 410 only.
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