RBI GRADE ‘B’ OFFICER’S EXAM Held on : 2007 (Part-II)

Total Questions: 50

41. If the numerator of a fraction is increased by 350% and the denominator of the fraction is increased by 300%, the resultant fraction is 9/22 . What is the original fraction ?

(1) 3/4
(2) 5/12
(3) 7/9
(4) 4/11
(5) None of these

Correct Answer: (4) 4/11

Solution:

42. The length of rectangular plot is thrice its breadth. If the area of the rectangular plot is 6075 sq. metres, what is its length ?

(1) 145 metres
(2) 130 metres
(3) 75 metres
(4) 45 metres
(5) None of these

Correct Answer: (5) None of these

Solution:Let the breadth of rectangular plot =

x

43. Ms. Sujata invests 7% i.e. Rs. 2170 of her monthly salary in mutual funds. Later she invests 18% of her monthly salary in recurring deposits also, she invests 6% of her salary on NSC's. What is the totel annual amount invested by Ms. Sujata ?

(1) Rs.1,25,320
(2) Rs.1,13,520
(3) Rs.1,35,120
(4) Rs.1,15,320
(5) None of these

Correct Answer: (4) Rs.1,15,320

Solution:Sujata's monthly salary

44. In how many different ways can the letters of the word 'PRIDE' be arranged ?

(1) 60
(2) 120
(3) 15
(4) 360
(5) None of these

Correct Answer: (2) 120

Solution:The word PRIDE consists of 5 distinct letters.

$∴$ Number of arrangements = 5!

= 5 x 4 x 3 x 2 x 1 = 120

45. The ages of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their ages will be 11 : 18. What is the difference in years between their ages ?

(1) 24 years
(2) 20 years
(3) 33 years
(4) 21 years
(5) None of these

Correct Answer: (4) 21 years

Solution:Let the present ages of Samir and Tanuja be

8 x

and

15 x

years respectively. According to the question,

46. For the two given equations I and II.

Give answer (1) if p is greater than q.

Give answer (2) if p is smaller than q.

Give answer (3) if p is equal to q.

Give answer (4) if p is either equal to or greater than q.

Give answer (5) if p is either equal to or smaller than q.

I. p² + 5p + 6 = 0

II. q² + 3q + 2 = 0

Correct Answer: (5)

Solution:

47. For the two given equations I and II.

Give answer (1) if p is greater than q.

Give answer (2) if p is smaller than q.

Give answer (3) if p is equal to q.

Give answer (4) if p is either equal to or greater than q.

Give answer (5) if p is either equal to or smaller than q.

I. p² = 4

II. q² + 4q = - 4

Correct Answer: (4)

Solution:

48. For the two given equations I and II.

Give answer (1) if p is greater than q.

Give answer (2) if p is smaller than q.

Give answer (3) if p is equal to q.

Give answer (4) if p is either equal to or greater than q.

Give answer (5) if p is either equal to or smaller than q.

I. p² + p = 56

II. q² - 17q + 72 = 0

Correct Answer: (2)

Solution:

49. For the two given equations I and II.

Give answer (1) if p is greater than q.

Give answer (2) if p is smaller than q.

Give answer (3) if p is equal to q.

Give answer (4) if p is either equal to or greater than q.

Give answer (5) if p is either equal to or smaller than q.

I. 3p + 2q - 58 = 0

II. 4q + 4p = 92

Correct Answer: (1)

Solution:We have,

50. For the two given equations I and II.

Give answer (1) if p is greater than q.

Give answer (2) if p is smaller than q.

Give answer (3) if p is equal to q.

Give answer (4) if p is either equal to or greater than q.

Give answer (5) if p is either equal to or smaller than q.

I. 3p² + 17p + 10 = 0

II. 10q² + 9q + 2 = 0

Correct Answer: (2)

Solution:

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RBI GRADE ‘B’ OFFICER’S EXAM Held on : 2007 (Part-II)

41. If the numerator of a fraction is increased by 350% and the denominator of the fraction is increased by 300%, the resultant fraction is 9/22 . What is the original fraction ?

42. The length of rectangular plot is thrice its breadth. If the area of the rectangular plot is 6075 sq. metres, what is its length ?

43. Ms. Sujata invests 7% i.e. Rs. 2170 of her monthly salary in mutual funds. Later she invests 18% of her monthly salary in recurring deposits also, she invests 6% of her salary on NSC's. What is the totel annual amount invested by Ms. Sujata ?

44. In how many different ways can the letters of the word 'PRIDE' be arranged ?

45. The ages of Samir and Tanuj are in the ratio of 8 : 15 years respectively. After 9 years the ratio of their ages will be 11 : 18. What is the difference in years between their ages ?

46. For the two given equations I and II.

47. For the two given equations I and II.

48. For the two given equations I and II.

49. For the two given equations I and II.

50. For the two given equations I and II.

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