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

(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
There are three positive numbers a,b and c. The average of a,b and c is equal to the average of a and b.

Quantity I : value of 2c
Quantity II : value of a

(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
Shyam invests certain sums in schemes- A and B for two years each. Sum invested in scheme B is $20\%$ more than that invested in scheme A. Scheme A offers compound interest (compounded annually) at the rate of $20\%$ per annum scheme B offers simple interest per annum. Respective ratio between the interests earned from scheme A and that earned from scheme B was $11:9$. Quantity I : Rate of interest offered by scheme B.
Quantity II : Rate of interest offered by scheme C (simple interest per annum) when Rs. $1800$ invested for $2$ years earns an interest of Rs. $432$.

(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

Three equal circles are drawn on a triangle $\text{ABC}$, with points $\text{A, B}$ and $\text{C}$ of each of the circle is equal to half of the side of the triangle $\text{ABC}$. Area of shaded region-1
Quantity I : Area of the shaded region-2 ($\text{in cm²}$)
Quantity II : $25\text{cm²}$

(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
Shalmali bought two articles- $\text{A}$ and $\text{B}$ at the same price. She marked articles $\text{A}$ and $\text{B}$ at $40\%$ and $25\%$ above their respective cost prices. She sold both the articles at $20\%$ discount. The total selling price of both the articles together was Rs. $636$.
Quantity I : Cost price of Article $\text{A}$ ($\text{in Rs.}$)
Quantity II : Cost price of an article ($\text{in Rs.}$), if it earns a profit of $\text{Rs. }60$ when sold at $20\%$ profit.

(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
$a>0<b$
Quantity I : Value of
Quantity II : Value of

A right-angled triangle is inscribed in a given circle. What is the area of the given circle? (${\text{in cm}}^{²}$)
I. The base and height of the triangle ($\text{in cm}$) are both the roots of the equation $x^{²}-41x+420$ $=0$
II. The sum of the base and height of the triangle is $41\text{ cm}$.
III. The base of the right-angled triangle is greater than the height of the same.

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 $3$, none of the digits being zero.
II. The digit in the unit's place is $50\%$ more than that in hundred's place.
III. The difference between any two of the digits is a multiple of $3$.

What is the ratio between the marked price of two identical items, $\text{P}$ and $\text{Q}$, which had been purchased at the same price?
I. Item $\text{P}$ was sold at a profit of $20\%$, while item $\text{Q}$ was sold at a loss of $10\%$.
II. Item $\text{P}$ was sold at a discount of $4\%$. The percentage by which item $\text{Q}$'s cost price had been marked up is $2.5$ times the profit $\%$ earned on selling item $\text{P}$.
III. The overall profit earned on selling items $\text{P}$ and $\text{Q}$ was $5\%$.

Raktim and Suraj are brothers. In how many years from now will Suraj's age be $35$ years?
I. The ratio of the current ages of Raktim and Suraj is $4:5$ respectively.
II. Suraj was born $5$ years before Raktim.
III. $5$ years ago, Raktim's age was three-fourth of Suraj's age at that time.