Simplification (Railway Maths) (01 to 50)

Total Questions: 50

11. Arrange the following fractions in ascending order. 1/3 , 4/7 , 2/5 , 5/6 , 3/5 [Group D 24/08/2022 (Afternoon)]

Correct Answer: (a) 1/3 , 2/5 , 4/7 , 3/5 , 5/6
Solution:

12. If (a + 1) / a = k, then find the value of (a² − 1) / a². [Group D 24/08/2022 (Afternoon)]

Correct Answer: (b) k² + 2
Solution:

13. Simplify the equation? [Group D 25/08/2022 ( Afternoon ) ]

Correct Answer: (d) 13/55
Solution:

14. Simplify:

(a + 2b − c)(b − c) + (a − c)2b + b².

Correct Answer: (c) 3b² + c² + 3ab − 5bc − ac
Solution:

15. The numerator of a fraction is one less than the denominator. If 6 is added to the numerator, the fraction will be equal to 5/4. Find the fraction. [Group D 30/08/2022 (Morning) ]

Correct Answer: (b) 19/20
Solution:

16. A man plants 21,025 mango trees in his garden in such a way that there are as many rows as there are mango trees in each row. Find the number of rows. [Group D 30/08/2022 (Afternoon) ]

Correct Answer: (c) 145
Solution:

17. (a¹⁰ × b⁻⁷ × c⁻⁴) / (a⁻⁵ × b² × c⁵) in simplified form is: [Group D 30/08/2022 (Evening)]

Correct Answer: (d) a¹⁵ × b⁻⁹ × c⁻⁹
Solution:

18. Simplify the equation? [Group D 02/09/2022 (Afternoon) ]

Correct Answer: (a) 9
Solution:

19. If (12/7)⁵ × (7/12)⁸ × (12/7)¹⁶ = (7/12)²ᵐ⁺¹⁰, then m = ? [Group D 08/09/2022 (Afternoon)]

Correct Answer: (d) −23/2
Solution:

20. Simplify: [Group D 14/09/2022 (Morning) ]

Correct Answer: (d) 3/4
Solution: