Simplification (Railway Maths) (751 to 800)

Total Questions: 50

1. Find the value of x. [RPF S.I. 05/01/2019 (Morning) ]

2/5(x) + 3/10(x) - 3/5(x) = 531

Correct Answer: (c) 5310
Solution:

2. Find the value of x. [RPF S.I. 05/01/2019 (Morning) ]

√441 ÷ 21 + √484 = 1 × x

Correct Answer: (c) 23
Solution:

3. Solve: [RPF S.I. 06/01/2019 (Morning)]

1/13 ÷ 1/13 ÷ 1/13 ÷ 1/13 ÷ 1/13 = ?

Correct Answer: (a) 2197
Solution:

4. Solve: [RPF S.I. 06/01/2019 (Morning)]

(8⁴)² × 1/512² × 8 + 18 = ?

Correct Answer: (b) 530
Solution:

5. Solve: [RPF S.I. 06/01/2019 (Morning)]

√21.16 + √79.21 + 8.9 = ?

Correct Answer: (b) 22.4
Solution:

√21.16 + √79.21 + 8.9
⇒ 4.6 + 8.9 + 8.9 ⇒ 22.4

6. What will come in place of question mark (?) in the given equation? [RPF S.I. 06/01/2019 (Afternoon)]

12.34 + 23.45 + 34.56 − 45.67 = 2 × ?

Correct Answer: (c) 12.34
Solution:

12.34 + 23.45 + 34.56 – 45.67 = 2 × ?
35.79 + 34.56 – 45.67 = 2 × ?
70.35 – 45.67 = 2 × ?
24.68 = 2 × ?
? = 12.34

7. Solve the equation. [RPF S.I. 06/01/2019 (Afternoon)]

169² × 52 ÷ 13² × 1020 = ?

Correct Answer: (d) 4080
Solution:

(169)² × 52 ÷ 13⁵ × 1020 = ?
(13²)² × 52 ÷ 13⁵ × 1020 = ?
13⁴ × 52 × 1/13⁵ × 1020 = ?
52 × 1/13 × 1020 = ?
? = 4080

8. Find the value of x. [RPF S.I. 10/01/2019 (Morning) ]

√169 ÷ 13 + √196 = 3 × x

Correct Answer: (d) 5
Solution:

√169 ÷ 13 + √196 = 3 × x
13 ÷ 13 + 14 = 3x
1 + 14 = 3x
15 = 3x
x = 5

9. Which of the numbers given below is the square root of 15376 ? [RRB ALP 09/08/2018 (Morning)]

Correct Answer: (a) 124
Solution:

The square root of 15376 = 124

10. Which of the following is a reducible fraction? [RRB ALP 09/08/2018 (Afternoon)]

Correct Answer: (a) 105/112
Solution:

The reducible fraction among the given fractions is
105/112 = 15/16