Topics

# Area of a rectangle is 96 m2 When the length of the same rectangle increased by 6 m and the breadth decreased by 3 m, then the area of the rectangle decreases by 30 m2. What is the perimeter of a square whose sides are equal to the length of rectangle ?

 A) 48 m B) 60 m C) 80 m D) 64 m E) 52 m

 D) 64 m

Description for Correct answer:
Area of rectangle = 96

lb=96 ...... (i)

According to question

$$lb- \left(l+6\right) \times \left(b-3\right)=30$$

lb-lb+3l-6b+18 =- 30

3l-6b = 12

l-3b-4 = 0

$$l = 2 \left(b+2\right)$$ ...... (ii)

By solving equations (i) and (ii), we get

l = 16 m, b = 6m

The side of square3 = l = 16m

Perimeter of a square = $$4 \times 16 = 64m$$

Part of solved RBI Grade B questions and answers : Exams >> Bank Exams >> RBI Grade B

Similar Questions
1). A vessel contains a mixture of milk and water in the respective ratio of 3 : 1. 32 litre of mixture was taken out and replaced with the same quantity of milk so that the resultant ratio between the quantities of milk and water in the mixture was 4 . : 1 respectively. If 10 litre of mixture is again taken out from the vessel, what is the resultant quantity of water in the mixture ? (in litre)
 A). 24 B). 30 C). 20 D). 36 E). 32
2). A 476 m long moving train crosses a pole in 14 sec. The length of a platform is equal to the distance covered by the train in 20 sec. A man crosses the same platform in 7 m and 5 sec. What is the Speed of the man in m/s ?
 A). 1.8 m/s B). 1.4 m/s C). 1.6 m/s D). 2 m/s E). 1.2 m/s
3). The respective ratio between total number of balls faced by O and that by Q in the tournament is 5 : 3. Total number of runs scored by Q in the tournament is what percent less than the total number of runs scored by O in the tournament ?
 A). $$\large 21 \frac{3}{11}$$% B). $$\large 25 \frac{9}{11}$$% C). $$\large 29 \frac{1}{11}$$% D). $$\large 27 \frac{5}{11}$$% E). $$\large 23 \frac{7}{11}$$%
4). Batsman M faced equal number of balls in first 11 matches he played in the tournament and last 11 matches he played in the tournament. If his strike rate in first 11 matches and last 11 matches of the tournament are 83 and 71 respectively, what is the total number of balls faced by him in the tournament ?
 A). 1800 B). 1500 C). 1700 D). 1600 E). 1400
5). In the tournament, the total number of balls faced by batsman N is 402 less than the total number of runs scored by him. What is the average number of runs scored by batsman N in the tournament ?
 A). 64 B). 72 C). 52 D). 71 E). 59

6). What is the strike rate of R in the tournament ?
 A). 86.4 B). 93 C). 89.4 D). 75.4 E). 85.2