100+ Problems on Numbers with Solutions Pdf - 1
Question: 1
Which one of the following is a prime number?
(A) 143
(B) 221
(C) 343
(D) 823
Ans: C
343 is divisible by 7.
143 is divisible by 11 and 221 is divisible by 13.
Question: 2
A four digit number is divisible by 7 becomes divisible by 3, when 10 is added to it. The largest such number is
(A) 9947
(B) 9987
(C) 9989
(D) 9996
Ans: C
Largest number of four digits is 9999. On dividing 9999 by 7, the remainder comes out to be 3.
Therefore, the largest number of four digits divisible by 7 is 9996. Let 9996 – x + 10 be divisible by 3.
We find that x = 7.
Therefore required number (9996-7) = 9989.
Question: 3
The largest natural number which exactly divides the product of any four consecutive natural numbers is
(A) 6
(B) 12
(C) 24
(D) 120
Ans: C
Required number = 1 x 2 x 3 x 4 = 24.
Question: 4
The unit’s digit in the product 274 x 318 x 577 x 313 is
(A) 2
(B) 3
(C) 4
(D) 5
Ans: A
Required digit = Unit digit in ( 4 x 8 x 7 x 3) = 2.
Question: 5
The difference between the local value and face value of 7 in the numeral 657903 is
(A) 901
(B) 903
(C) 6993
(D) 7896
Ans: C
(Local Value) – (Face Value) = (7000 – 7) = 6993.
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