A parallelogram is divided into 20 regions of equal area by drawing line segment

Sail E0 Webinar

Question

A parallelogram is divided into 20 regions of equal area by drawing line segments parallel to one of its diagonals. What is the ratio of the longest line segment to one the shortest one?

Options:

A . 3:2

B . 4:3

C . 3:1

D . 5:2

Answer: Option C
:
C

The figure looks as above. $Δ$ ABE and $Δ$ CDE are similar.
The area of each part is equal.
Thus the ratios of the areas= square of the ratios of the corresponding sides

$\Rightarrow$ If area of ∆CDE = x then area of $Δ$ ABE =9x

$∴$ $\frac{C D}{A B} = \sqrt{\frac{9 x}{x}}$ = 3:1

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. Find the approximate value of x, for this equation to be satisfied: xxxxx−4=0. Given that (am)n=amn ....

Question 2. N is a five-digit number such that all its digits are non-zero and even, and there is only a single repetition. If the....divisible by 4, how many possible values can N take?

Question 3. Find the area of the biggest possible triangle whose base is 10 cm and perimeter 36 cm. ....

Question 4. Find the complete range of values of x for which (x2−7x+13)x<1. ....

Question 5. The average age of n persons is 55.Two persons aged 41 and 47 respectively leave the group and three new persons aged ....what is the number of persons now in the group?

Question 6. What is the remainder when p - q is divided by 100, if p=299+499+699+899+.........+10099 and q=199+399+599+799+...........- q is divided by 100, if p=299+499+699+899+.........+10099 and q=199+399+599+799+..........+9999?

Question 7. ABCD is a rectangle, with AP = PQ = QB and points R, S, T dividing the side CD in four equal parts. Find the area of the....if the area of the rectangle is A sq. units..

Question 8. A circle of radius 3 crosses the centre of a square of side length 2. Find the approximate positive difference between....between the areas of the non-overlapping portions of the figures

Question 9. The total amount of money spent on the purchase of pencils, rubbers and pens is Rs. 45. The cost of one pencil, one ru....the number of pencils, rubbers and pens bought are possible?

Question 10. Let three 3-digit integers abc, bca, cab when divided respectively by 10, 8 and 3 leave the same remainder 1. If 2<....the same remainder 1. If 2<b<8, then a = ?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Chapter 3.1 : Overview of Finance & Accounts Department Chapter 3 : Finance & Accounts SAIL E0 - GFM 2024

Chapter 2.1 : Overview Chapter 2 : Materials Management SAIL E0 - GFM 2024

Chapter 1.1 : Personnel Functions- An overview Chapter 1 : Personnel Management SAIL E0 - GFM 2024

GPOE / GPA Combined 1 Free CBT Mock Test SAIL E0 2024

CBT Mixed Test 1 GPOE/GPA SAIL E0 2024