RBI OFFICER GRADE ‘B’ PHASE-I EXAM Held on : 03.08.2014(Part-III)

Total Questions: 50

21. Study the following table carefully and answer the questions that follow:

Description of Literate and Illiterate population of six villages

VillagesPercentage of Literate populationMale : FemaleRatio of Literate Males & Females
A48%7:513:7
B60%8:73:5
C72%4:53:4
D60%5:46:5
E50%7:314:11
F64%5:37:5

If the number of literate women in village D is 32200, what is the number of illiterate population in the same village?

Correct Answer: (2) 48300
Solution:

Literate males in village D

22. Study the following table carefully and answer the questions that follow:

Description of Literate and Illiterate population of six villages

VillagesPercentage of Literate populationMale : FemaleRatio of Literate Males & Females
A48%7:513:7
B60%8:73:5
C72%4:53:4
D60%5:46:5
E50%7:314:11
F64%5:37:5

If the number of literate males in village A be 35840, the number of illiterate males in the same village is

Correct Answer: (3) 43264
Solution:

Literate females in village

23. Study the following table carefully and answer the questions that follow:

Description of Literate and Illiterate population of six villages

VillagesPercentage of Literate populationMale : FemaleRatio of Literate Males & Females
A48%7:513:7
B60%8:73:5
C72%4:53:4
D60%5:46:5
E50%7:314:11
F64%5:37:5

 

If the illiterate female population of village E be 77000, What is the total population of that village?

Correct Answer: (1) 350000
Solution:

Illiterate males in village E

24. Three typists P, Q and R have to type 368 pages. P types one page in 8 minutes, Q in 18 minutes and R in 24 minutes. In what time will these pages be typed if they work together?

Correct Answer: (2) 27.6 hours
Solution:

Page printed in one minute

25. The distance between two points is 36 km. A boat rows in still water at 6 kmph. It takes 8 hours less to cover this distance in downstream in comparison to that in upstream. The rate of stream is

Correct Answer: (1) 3 kmph
Solution:

Speed of current = x kmph

Rate downstream

26. In each of the following questions, two equations I and II have been given. Solve these questions and answer

(1) if x < y
(2) if x ≤ y
(3) if x = y or the relation cannot be established
(4) if x ≥ y
(5) if x > y

I. 30x² + 11x + 1 = 0
II. 42y² + 13y + 1 = 0

Correct Answer: (2)
Solution:

I. 30 + 11x + 1 = 0

30 + 6x + 5x + 1 = 0

6x (5x + 1) + 1 (5x + 1) = 0

(6x + 1) (5x + 1) = 0

27. In each of the following questions, two equations I and II have been given. Solve these questions and answer

(1) if x < y
(2) if x ≤ y
(3) if x = y or the relation cannot be established
(4) if x ≥ y
(5) if x > y

I. x² – x – √2x + √2 = 0
II. y² – 3y + 2 = 0

Correct Answer: (2)
Solution:

I. - x - √2x + √ = 0

28. In each of the following questions, two equations I and II have been given. Solve these questions and answer

(1) if x < y
(2) if x ≤ y
(3) if x = y or the relation cannot be established
(4) if x ≥ y
(5) if x > y

I. x² – 2x – √5x + 2√5 = 0
II. y² – √3y – √2y + √6 = 0

Correct Answer: (4)
Solution:

I. - 2x - √5x + 2√5 = 0

x (x - 2) - √ (x - 2) = 0

(x - 2) (x - √) = 0

x = 2 or

II. - √3 - √2y + = 0

29. In each of the following questions, two equations I and II have been given. Solve these questions and answer

(1) if x < y
(2) if x ≤ y
(3) if x = y or the relation cannot be established
(4) if x ≥ y
(5) if x > y

I. x² + 12x + 36 = 0
II. y² = 16

Correct Answer: (1)
Solution:I.  + 12x + 36 = 0

()² = 0

x + 6 = 0

x = -6

II.  = 16

y = 4

Clearly x < y

30. In each of the following questions, two equations I and II have been given. Solve these questions and answer

(1) if x < y
(2) if x ≤ y
(3) if x = y or the relation cannot be established
(4) if x ≥ y
(5) if x > y

I. x² + 12x + 36 = 0
II. y² = 16

Correct Answer: (3)
Solution:

I. 9 + 3x - 2 = 0