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1. The length and breadth of a rectangular field are in the ratio 7 : 4. A path 4 m wide running all round outside has an area of 416 m^{2}. The breadth (in m) of the field is

16

28

14

15

2. If a + b + c = 0, a^{3} + b^{3} + c^{3} is equal to

3abc

a + b + c

abc

2abc

3. Two numbers 11284 and 7655, when divide by a certain number of three digits, leaves the same remainder. The sum of digits of such three-digit number is

11

8

9

10

4. If a and b are positive integers, such that a^{b} = 125, then (a – b)^{ a + b - 4} is equal to —

25

30

5. The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is —

46

70

90