100+ Problems on Numbers with Solutions Pdf - 2
Question: 6
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is
(A) 1220
(B) 1250
(C) 22030
(D) 220030
Ans: D
Required number = ( 555 + 445) x 2 x 110 + 30
= 220000 + 30 = 220030.
Question: 7
Which one of the following numbers is divisible by 3?
(A) 234678
(B) 2876423
(C) 4006020
(D) 9866003
Ans: C
2 + 8 + 7 + 6 + 4 + 2 + 3 = 32 is not divisible by 3.
9 + 8 + 6 + 6 + 0 + 0 + 3 = 32 is not divisible by 3.
2 + 3 + 4 + 5 + 6 + 7 + 8 = 35 is not divisible by 3.
4 + 0 + 0 + 6 + 0 + 2 + 0 = 12 is divisible by 3.
Therefore 4006020 is the number divisible by 3.
Question: 8
The number of prime number between 0 and 100 is
(A) 17
(B) 25
(C) 31
(D) 39
Ans: B
Number of prime numbers between 0 and 100 is 25.
Question: 9
The largest natural number by which the product of three consecutive even natural numbers is always divisible by
(A) 16
(B) 24
(C) 48
(D) 96
Ans: C
Required number = 2 x 4 x 6 = 48.
Question: 10
What smallest number should be subtracted from 6708 so that it may be divided by 9?
(A) 1
(B) 2
(C) 3
(D) 4
Ans: C
When 6708 is divided by 9 we get a remainder 3.
Hence the required number is divisible by 9 will be 6708 – 3 = 6707.
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