Question : The length of a hall is 21 m and the width is 14 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.
Option 1: 8.4 m
Option 2: 8.2 m
Option 3: 8.6 m
Option 4: 8.8 m
Latest: SSC CGL 2024 final Result Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 8.4 m
Solution : Let the height of the hall be $h$ m. Now, the area of the floor = the area of the roof = (21 × 14) = 294 m2. The sum of the areas of the four walls = 2 × (length + breadth) × height = 2 × (21 + 14) × $h$ m2. According to the question, 2(21 + 14) × $h$ = 294 + 294 ⇒ $70h$ = 588 ⇒ $h=\frac{588}{70}$ = 8.4 m. Hence, the correct answer is 8.4 m.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : The length, breadth, and height of a hall are 10 m, 20 m, and 15 m, respectively. Find the cost of whitewashing the walls of the inside of the hall and ceiling, at the rate of INR 10.20 per m2.
Option 1: INR 13,394
Option 2: INR 11,220
Option 3: INR 15,320
Option 4: INR 16,542
Question : The length, breadth, and height of a room are 10 m, 8 m, and 6 m, respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of 7.50 per m2.
Option 1: Rs. 2220
Option 2: Rs. 1850
Option 3: Rs. 2150
Option 4: Rs. 2000
Question : If the volume of one brick is 0.0014 m3, how many bricks will be required to construct a wall of length 14 m, breadth 0.125 m, and height 5 m?
Option 1: 5250
Option 2: 3250
Option 3: 6250
Option 4: 4250
Question : The perimeter of an equilateral triangle is equal to the circumference of a circle. The ratio of their areas is: ( Use $\pi =\frac{22}{7}$)
Option 1: $22 : 21\sqrt{3}$
Option 2: $21: 22\sqrt{3}$
Option 3: $21: 22\sqrt{2}$
Option 4: $22: 21\sqrt{2}$
Question : In the given figure, $PQRS$ is a rectangle and a semicircle with $SR$ as the diameter is drawn. A circle is drawn as shown in the figure. If $QR=7\;\mathrm{cm}$, then what is the radius (in $\mathrm{cm}$) of the small circle?
Option 1: $21+14\sqrt{2}$
Option 2: $21-14\sqrt{2}$
Option 3: both $21+14\sqrt{2}$ and $21-14\sqrt{2}$
Option 4: None of these
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile