Simplification (Railway Maths) (751 to 800)

Total Questions: 50

11. Solve the following: −1/4 { −45 − (−96) ÷ (−32) } = ? [RRB ALP 09/08/2018 (Afternoon)]

Correct Answer: (d) 12
Solution:

−1/4 { −45 − (−96) ÷ (−32) }
⇒ −1/4 { −45 − 3 }
⇒ −1/4 × (−48) = 12

12. Which of the fractions given below, when added to 5/8 gives 1 ? [RRB ALP 09/08/2018 (Afternoon)]

Correct Answer: (b) 6/16
Solution:

Let the fraction be x
ATQ,
x + 5/8 = 1
⇒ x = 1 − 5/8 = 3/8 or 6/16

13. Solve the following: [RRB ALP 09/08/2018 (Evening)]

22 − (1/4) { −5 − (−48) ÷ (−16) } = ?

Correct Answer: (a) 24
Solution:

22 − (1/4) { −5 − (−48) ÷ (−16) }
= 22 − (1/4) { −5 − 3 }
⇒ 22 − (1/4) × (−8)
⇒ 22 − (−2) = 24

14. The fraction from the ones listed below that will not lead to a recurring decimal is: [RRB ALP 09/08/2018 (Evening)]

Correct Answer: (b) 7/56
Solution:

15. The square root of 3249 is: [RRB ALP 09/08/2018 (Evening)]

Correct Answer: (b) 57
Solution:

16. Solve the following: (−4){19 − (−2) × (−8)} = ? [RRB ALP 10/08/2018 (Morning)]

Correct Answer: (c) −12
Solution:

(−4){19 − (−2) × (−8)}
⇒ (−4){19 − 16}
⇒ −4 × 3 = −12

17. Which of the following numbers is a perfect square? [RRB ALP 10/08/2018 (Morning)]

Correct Answer: (d) 441
Solution:

On observing the given options,
we can clearly see that 441 i.e. 21² is a perfect square

18. The product of two decimals is 0.768. If one of the decimal numbers is 1.6, find the other. [RRB ALP 10/08/2018 (Morning)]

Correct Answer: (b) 0.48
Solution:

Let the required decimal be x
ATQ,
1.6x = 0.768
x = 0.768 / 1.6 = 0.48

19. The product of two numbers is 0.432. One of the numbers is 1.6. What is the other number? [RRB ALP 10/08/2018 (Morning) ]

Correct Answer: (b) 0.27
Solution:

Let the other no be x
ATQ,
1.6x = 0.432 ⇒ x = 0.432/1.6 = 0.27

20. Find the fraction which is as much greater than 4/7 as it is less than 5/6? [RRB ALP 10/08/2018 (Morning) ]

Correct Answer: (c) 59/84
Solution: