100+ Number System Questions for Bank PO Exams Pdf - 1
Question: 1
The digit in the unit’s place of the number 12399 is
(A) 1
(B) 2
(C) 3
(D) 7
Ans: D
34 gives unit digit 1.
So, (34)24 gives unit digit 1.
And, 33 gives unit digit 7.
∴ 399 = (34)24 × 33 gives unit digit (1 x 7) i.e. 7.
Question: 2
If n be any natural number then by which largest number (n3 - n) is always divisible?
(A) 3
(B) 6
(C) 12
(D) 18
Ans: B
(13 - 1) = 0, (23 - 2) = 6, (33 - 3) = 24, (43 - 4) = 60 and so on, each one of which is divisible by 6.
Question: 3
The sum of four consecutive even numbers A, B, C and D is 180. What is the sum of the set of next four consecutive even numbers?
(A) 169
(B) 204
(C) 212
(D) 214
Ans: C
Let the four consecutive even numbers be a, a + 2, a + 4 and a + 6.
Then, a + a + 2 + a + 4 + a + 6 = 180 ⇒ 4a = 168 ⇒ a= 42.
So, these numbers are 42, 44, 46 and 48.
Sum of next four consecutive even numbers = (50 + 52 + 54 + 56) = 212.
Question: 4
106 x 106 – 94 x 94 = ?
(A) 1904
(B) 1906
(C) 2200
(D) 2400
Ans: D
(106 × 106 - 94 × 94)
= (106)2 - (94)2= (106 + 94) (106 - 94) = (200 × 12) = 2400.
Question: 5
(24 + 25 + 26)2 - (10 + 20 + 25)2 = ?
(A) 352
(B) 752
(C) 2600
(D) 2800
Ans: C
(24 + 25 + 26)2 - (10 + 20 + 25)2 = (75)2 - (55)2
= (75 + 55) (75 - 55) = (130 × 20) = 2600.
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