Simplification (Railway Maths) (701 to 750)

Total Questions: 50

21. (0.1² − 0.0252²) ÷ (0.1 − 0.025) = ______ [ALP Tier II 23/01/2019 (Morning)]

Correct Answer: (d) 0.125
Solution:

22. If 5x/2 - 1/4 (6x - 5/3) = 7/6 then the value of x is______. [ALP Tier II 23/01/2019 (Morning) ]

Correct Answer: (d) 3/4
Solution:

23. Solve the following. [ALP Tier II 23/01/2019 (Afternoon) ]

√0.2025 + √0.12225 = _______

Correct Answer: (c) 0.8
Solution:

24. If 5x/3 - 7/2 (2x/5 - 1/3) = 1/3, then the value of x is______ [ALP Tier II 23/01/2019 (Afternoon) ]

Correct Answer: (c) -25/8
Solution:

5x/3 − 7/2 ( 2x/5 − 1/3 ) = 1/3
→ 5x/3 − 7/2 ( (6x − 5) / 15 ) = 1/3
→ (50x − 42x + 35) / 30 = 1/3
→ 8x = −25 ⇒ x = −25/8

25. Find the value of the given expression: 16 - (25% of (14 x 10 ÷ 35 + 12 x 10 ÷ 15)) [ALP Tier II 23/01/2019 (Afternoon) ]

Correct Answer: (b) 13
Solution:

26. The value of (0.12 x 0.12 x 0.12) x (1.32 x 1.32 x 1.32)/(0.52 x 0.52) : [ALP Tier II 08/02/2019 (Morning) ]

Correct Answer: (c) 0.0147
Solution:

(0.12 × 0.12 × 0.12) × (1.32 × 1.32 × 1.32) / (0.52 × 0.52)
= 0.0147

27. The value of –7 (2x + 4y) –2 (x – 2y) is: [ALP Tier II 08/02/2019 (Morning) ]

Correct Answer: (b) -8(2x + 3y)
Solution:

−7 (2x + 4y) − 2 (x − 2y)
= −16x − 24y
= −8 (2x + 3y)

28. find the unknown (?) number: [ALP Tier II 08/02/2019 (Morning) ]

0.088 / (?) = 0.02

Correct Answer: (c) 4.4
Solution:

0.088 / x = 0.02 ⇒ x = 8.8 / 2 = 4.4

29. The square root of (10 + √25) (12 – √49) is: [ALP Tier II 08/02/2019 (Morning) ]

Correct Answer: (b) 5√3
Solution:

30. If x = 15, y = 20 and z = 10 then the value of (5x – 15) / (y + Z) is equal to_______: [ALP Tier II 08/02/2019 (Morning) ]

Correct Answer: (a) 2
Solution:

(5x − 15) / (y + z) = (5 × 15 − 15) / (20 + 10) = 60 / 30 → 2