CLAT Quantitative Techniques
CLAT Quantitative Techniques section tests candidates on two tenets – Data Interpretation ability, and Mathematical & Computational skills. Data Interpretation requires comprehending data from Line Graphs, Bar Graphs, Pie Charts and the like. Computational skills can be honed with a basic understanding of mathematical concepts like Percentages, Averages, and Ratios and Proportions.
The following questions on CLAT Quantitative Techniques have been curated meticulously, taking into account the latest samples released by the Consortium of NLUs. These questions are pegged exactly at the level of difficulty of CLAT.
Are you game for some number crunching? Take the plunge, and solve the following questions, available for free!
CLAT 2020 Quantitative Techniques: Mensuration
A room having the dimensions as mentioned in the chart below has a table, a bed and a chair. There are three books kept on the table (side by side) and also a lamp having radius, 3.5 inch. Now, on the basis of information given below answer the following?
| Sr.No. | Object | Length | Breadth | Height |
|---|---|---|---|---|
| 1 | Room | 18 feet | 12 feet | 12 feet |
| 2 | Bed | 3.5 feet | 6 feet | 3 feet |
| 3 | Table | 3 feet | 4 feet | 4 feet |
| 4 | Chair | 2 feet | 2.5 feet | 4 feet |
| 5 | Books | 12 inches | 6 inches | 3 inches |
If the entire room is to be filled by books having same dimensions as lying on the table then how many books are required.
- 2,00,736
- 20,736
- 11,736
- 17,522
Explanatory Answer
Let's expand the Dimensions table and add 2 more columns, Surface Area, and Volume.
Note: 1 Foot = 12 inches
| Sr.No | Object | Length(l) | Breadth(b) | Height(h) | Floor Surface Area (l*b) in square feet |
Volume (l*b*h) in cubic feet |
|---|---|---|---|---|---|---|
| 1 | Room | 18 | 12 | 12 | 216 | 2592 |
| 2 | Bed | 3.5 | 6 | 3 | 21 | 63 |
| 3 | Table | 3 | 4 | 4 | 12 | 48 |
| 4 | Chair | 2 | 2.5 | 4 | 5 | 20 |
| 5 | Books | 1 | 0.5 | 0.25 | 0.5 | 0.125 |
Number of books required to fill the room entirely \(= \frac{Volume of Room}{Volume of the book} = \frac{2592}{0.125} = 20736\)
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