RRB Junior Engineer (JE) Sample Paper: Mathematics-13

1. (999² – 998²) is equal to

(a) 1
(b) 999
(c) 1997
(d) 998

2. A number when divided by 119 leaves the remainder 19. If the same number is divided by 17, the remainder will be

(a) 19
(b) 10
(c) 7
(d) 2

3. If n is any positive integer, then 34n – 43n is always divisible by

(a) 7
(b) 17
(c) 112
(d) 145

4. The number zero (0) is surrounded by the same two digit number on both (left and right) sides: for example 25025, 67067 etc. The largest number that always divides such a number is

(a) 7
(b) 11
(c) 13
(d) 1001

5. The least number of five digits exactly divisible by 456 is

(a) 10000
(b) 10012
(c) 10032
(d) 10056

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1(c), 2(d), 3(b), 4(d), 5(c)