RBI OFFICER GRADE ‘B’ PHASE-I EXAM Held on : 04.09.2016 (Shift-I)(Part-III)

Total Questions: 50

21. In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option.

(1) If Quantity I ≥ Quantity II
(2) If Quantity I > Quantity II
(3) If Quantity I < Quantity II
(4) Quantity I = Quantity II or the relationship cannot be established from the information that is given
(5) Quantity≤ Quantity II
Ram invested Rs. P in scheme A and Rs. 2P in scheme B, for two years each. Scheme A offers simple interest p.a. Scheme B offers compound interest (compounded annually) at the rate of 10% per annum. Respective ratio between the interest earned from Y scheme A and that earned from scheme B was 8:21.
Quantity I: Rate of interest offered by scheme A.
Quantity II: Rate of interest offered by scheme C (simple interest per annum), when Rs. 1600 is invested for 3 years earns an interest of Rs. 384.

Correct Answer: (4)
Solution:Rate offered by scheme A

C.I. received from scheme B

22. In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option.

(1) If Quantity I ≥ Quantity II
(2) If Quantity I > Quantity II
(3) If Quantity I < Quantity II
(4) Quantity I = Quantity II or the relationship cannot be established from the information that is given
(5) Quantity≤ Quantity II
Rutuja bought two articles-article A at Rs. x and article B at Rs. x + 50. She sold article A at 20% profit and article B at 10% loss, and earned Rs. 35 as profit on the whole deal.
Quantity I : Profit earned by Rutuja on selling Article A (in Rs.)
Quantity II: Loss incurred (in Rs.) when an article which costs Rs. 480 is sold at 20% loss.

Correct Answer: (3)
Solution:S.P. of article A

S.P. of article B

Quantity I :

23. Each of the given questions is followed by three statements. You have to study the question along with the information in three statements and decide the information in which of the statement(s) is necessary and sufficient to answer the question.

I. The ratio of the current ages of Arun and Bhadra is 5:7 1 respectively.
II. Bhadra was born 10 years before Arun.
III. 5 years hence, Arun's age would be three-fourth of Bhadra's age at that time.

Correct Answer: (1) Any two of the three
Solution:From statement I,
Arun's present age Bhadra's present age
From statements I and II,
From statements II and III,
Arun's present age Bhadra's present age

24. Each of the given questions is followed by three statements. You have to study the question along with the information in three statements and decide the information in which of the statement(s) is necessary and sufficient to answer the question.

A right-angled triangle is in-Jescribed in a given circle. What is the area of the given circle (in cm²)?
I. The base and height of the triangle (in cm) are both the roots of the equation x23x +120=0
II. The sum of the base and height of the triangle is 23 cm.
III. The height of the right-angled triangle is greater than the base of the same.

Correct Answer: (4) Only I
Solution:
From statement I,

∴Hypotenuse of triangle

25. Each of the given questions is followed by three statements. You have to study the question along with the information in three statements and decide the information in which of the statement(s) is necessary and sufficient to answer the question.

What is the ratio between the marked price of two identical items, A and B, which had been purchased at the same price?
I. Item A was sold at a profit of 20%, while item B was sold at a loss of 10%.
II. Item A was sold at a discount  of 16⅔ %. The percentage by 3 which item B's cost price had been marked up is the same as the profit% earned on selling item A.
III. The overall profit earned on selling items A and B was Rs. 576.

Correct Answer: (5) Only I and II
Solution:C.P. of article A From statement I,
S.P. of article A

From statements I and II,
If the marked price of article A be Rs. , then

Hence, required ratio can be determined.

26. Each of the given questions is followed by three statements. You have to study the question along with the information in three statements and decide the information in which of the statement(s) is necessary and sufficient to answer the question.

Three workers A, B and C complete a given piece of work within different time spans, while working individually. What is the ratio of time taken by C and B respectively?
I. A takes 100% more time than C to complete the given piece of work.
II. B completes the given piece of work within 8 days.
III. B takes 2 days less than A to complete the given piece of work.

Correct Answer: (1) Question cannot be answered even with the information in all three statements.
Solution:Here time taken by B is not certain.

27. Each of the given questions is followed by three statements. You have to study the question along with the information in three statements and decide the information in which of the statement(s) is necessary and sufficient to answer the question.

What is the three-digit number having each digit different from the other ?
I. Each of the digits of the given number is a multiple of 3.
II. The digit in the unit's place is 50% less than that in the hundred's place.
III. None of the digits is zero.

Correct Answer: (2) Only I and II
Solution:From statements I and II
Digits of number Unit's digit digit

28. The respective ratio between the time taken by a boat to travel the same distance down-stream in stream A and that in stream B is 8: 7. The speed of the boat in still water is 12 km/h and the speed of stream A is half the speed of stream B. What is the speed of stream B? (in km/h)

Correct Answer: (4) 4
Solution:Speed of boat in still water
Speed of current A Speed of current B According to the question,
If the distance covered be km, then

29. To complete a project, 18 wom-en take 4 more days than the number of days taken by 12 men. If eight men complete the project in 9 days, how much work will be left when 15 women and 12 men together work for 3 days ?

Correct Answer: (2) 3/4
Solution:


30. Refer to the pie charts and answer the given questions.

Data regarding number of foreign students (males + females) from different countries- A, B, C, D and E, taking in higher level education in the country XYZ in the year 2014.
Total number of foreign students (males + females) = 9000

Foreign Female Students = 3500

What is the respective ratio between the total number of male students from countries B and C together and total number of students (males + females) from the same countries together?

Correct Answer: (5) 5 : 9
Solution:

Total number of students
from country B


=5 : 9