Algebra (Railway Maths) (Part – VII)

Total Questions: 50

31. What is the square root of the following ? (x² - 14x + 49) (x² + 6x + 9) [RRB NTPC 03/02/2021 (Evening) ]

Correct Answer: (b) (x – 7)(x + 3)
Solution:

32. If x = 12 and y = 7, then the value of (x² + y² − xy) / (x³ + y³) is: [RRB NTPC 04/02/2021 (Morning)]

Correct Answer: (b) 1/19
Solution:

33. If 11 = 11x / (1 − x), then the value of (2x)² is: [RRB NTPC 04/02/2021 (Morning)]

Correct Answer: (d) 1
Solution:

34. Which of the following is a factor of the polynomial x² − x − 20? [RRB NTPC 05/02/2021 (Morning)]

Correct Answer: (b) x − 5
Solution:

35. Find the value of x, if x / √128 = √162 / x [RRB NTPC 05/02/2021 (Morning) ]

Correct Answer: (d) 12
Solution:

36. The sum of two numbers is 27 and the difference of their squares is 243. What is the difference between the numbers? [RRB NTPC 05/02/2021 (Morning)]

Correct Answer: (a) 9
Solution:

37. If 4/5 + (−3/10) = x + 1/2, then what will be the value of x? [RRB NTPC 05/02/2021 (Morning)]

Correct Answer: (b) −1
Solution:

38. The sum of two numbers is 30. If the sum of their reciprocals is 6/25, find the two numbers. [RRB NTPC 08/02/2021 (Morning)]

Correct Answer: (b) 5 and 25
Solution:

39. The sum of two numbers is 20 and their product is 96. What is the difference between the two numbers? [RRB NTPC 08/02/2021 (Evening) ]

Correct Answer: (a) 4
Solution:

40. Find the value of X if [RRB NTPC 08/02/2021 (Evening) ]

Correct Answer: (c) 25
Solution: