Simplification (Railway Maths) (101 to 150)

Total Questions: 50

1. Simplify: (2/3 + 1/3) × 23 − 13 + 6? [Group D 24/08/2022 (Afternoon) ]

Correct Answer: (d) 16
Solution:

(2/3 + 1/3) × 23 − 13 + 6
= 23 − 13 + 6
= 16

2. Simplify: √625 − √324 + 33²? [Group D 24/08/2022 (Evening) ]

Correct Answer: (c) 1096
Solution:

√625 − √324 + 33²
= 25 − 18 + 1089
= 1096

3. The value of √123421 = ? [Group D 24/08/2022 (Evening) ]

Correct Answer: (a) 1111
Solution:

√1234321 = √(1111 × 1111) = 1111

4. Find the answer of given equation? [Group D 25/08/2022 (Morning) ]

Correct Answer: (c) 7/18
Solution:

2/3 + 1/(1 + 4/5) − 5/6
= 2/3 + 5/9 − 5/6
= 7/18

5. Five-fourths of a number is greater than three-fourths of the number by 6. Find the number? [Group D 25/08/2022 (Morning) ]

Correct Answer: (c) 12
Solution:

Let the number be x
Now,
5x/4 − 3x/4 = 6 ⇒ 2x/4 = 6 ⇒ x = 12

6. Simplify √729 - √400 [Group D 25/08/2022 (Afternoon) ]

Correct Answer: (d) 7
Solution:

√729 − √400 = 27 − 20 = 7

7. Simplify (1.5a² − 2.5b²)(1.5a² + 2.5b²) + 6.25ab? [Group D 25/08/2022 (Afternoon)]

Correct Answer: (d) 2.25a⁴ − 6.25b⁴ + 6.25ab
Solution:

⇒ (a − b)(a + b) = a² − b²
(1.5a² − 2.5b²)(1.5a² + 2.5b²) + 6.25ab
= (1.5a²)² − (2.5b²)² + 6.25ab
= 2.25a⁴ − 6.25b⁴ + 6.25ab

8. Which vulgar fraction is equal in value to the mixed recurring decimal 0.3125125125…? [Group D 25/08/2022 (Evening) ]

Correct Answer: (d) 1561/4995
Solution:

9. Find the value of (√729 / 15) × (25 / √81) × (15 / √225)? [Group D 25/08/2022 (Evening)]

Correct Answer: (a) 5
Solution:

10. What approximate value should come in place of the question mark (?) in the following equation? [Group D 25/08/2022 (Evening)]

126.012 × 14.987 − 603.045 + 261.987 = ?

Correct Answer: (d) 1025
Solution: