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Aptitude Contest - 12 With Answers

        

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Old 18-02-06, 01:27 AM   #1 (permalink)
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1. What will be the ratio between the area of a rectangle and the area of a triangle.... one of the sides of the rectangle as base and a vertex on the opposite side 0: a rectangle?

(a) 1 : 2
(b) 2 : 1
(c) 3 : 1
(d) Data inadequate
(e) None of these

2. If an equilateral triangle of area X and a square of area Y have the same peri~then X is :

(a) equal to Y
(b) greater than Y
(c) less than Y
(d) less than or equal to Y

3. If the side of an equilateral triangle is decreased by 20%, its area is decrease= 8r

(a) 36%
(b) 40%
(c) 60%
(d) 64%

4. If the height of a triangle is decreased by 40% and its base is increased by 40~will be the effect on its area?

(a) No change
(b) 8% decrease
(c) 16% dec
(d) 16% increase
(e) None of these

5. One diagonal of a parallelogram is 70 cm and the perpendicular distance of :an diagonal from either of the outlying vertices is 27 em. The area of the parallelogr..-.. (in sq. cm) is :

(a) 1800
(b) 1836
(c) 1890
(d) 1980

Answers
  1. b

  2. c

  3. a

  4. a

  5. c

Edited by: HELP

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Old 18-02-06, 03:56 AM   #2 (permalink)
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1. What will be the ratio between the area of a rectangle and the area of a triangle.... one of the sides of the rectangle as base and a vertex on the opposite side 0: a rectangle?

(a) 1 : 2
(b) 2 : 1
(c) 3 : 1
(d) Data inadequate
(e) None of these
Area of rectangle =l*b
area of traingle = 1/2 (l*b)
ratio of areas = 2:1
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Old 18-02-06, 04:08 AM   #3 (permalink)
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2. If an equilateral triangle of area X and a square of area Y have the same peri~then X is :

(a) equal to Y
(b) greater than Y
(c) less than Y
(d) less than or equal to Y
let the side of square be = 'a'
let side of traingle be = 'b'
perimeter of square = 4a
perimeter of traingle =3b
4a=3b; a = 3/4(b)
area of traingle X = root 3 /4 (b)^2 =0.433(b)^2
area of squareY = a^2 = [3/4(b)]^2 = 0.56(b)^2
Hence X<Y
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Old 18-02-06, 04:23 AM   #4 (permalink)
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3. If the side of an equilateral triangle is decreased by 20%, its area is decrease= 8r
(a) 36%
(b) 40%
(c) 60%
(d) 64%
Let side be = 'a'
when side is decresed by 20% it becomes = 0.8(a)
original area =root (3/4)a^2
after decreasing side area = 0.64 ( root 3/4)a^2
so decrese in area = 36%
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Old 18-02-06, 04:25 AM   #5 (permalink)
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4. If the height of a triangle is decreased by 40% and its base is increased by 40~will be the effect on its area?
(a) No change
(b) 8% decrease
(c) 16% dec
(d) 16% increase
(e) None of these
Area decreses by 64%
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Old 18-02-06, 04:33 AM   #6 (permalink)
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5. One diagonal of a parallelogram is 70 cm and the perpendicular distance of :an diagonal from either of the outlying vertices is 27 em. The area of the parallelogr..-.. (in sq. cm) is :
(a) 1800
(b) 1836
(c) 1890
(d) 1980
I guess the answer is 70*27 = 1890
If it is wrong plz give ur answers
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Old 18-02-06, 05:59 AM   #7 (permalink)
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b) 2:1
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Old 18-02-06, 06:41 AM   #8 (permalink)
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ans:


1) b


2) c


3) d


4) e


5) c


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Old 18-02-06, 09:07 AM   #9 (permalink)
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1-->b


2-->c


3-->a


4-->c


5-->c
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Old 18-02-06, 10:00 AM   #10 (permalink)
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HI friends,

Answer for 4 th question is decreses by 16 %.
Answer is D .

Explanation:

original area=> 1/2 *b*h
new area=> 1/2 * 60*h * 140*h
------- ------ => 1/2 * 0.84bh
100 100

So the % change= 1/2* 0.84bh-1/2*bh
------------------- *100 => -16
1/2*bh
So decreased by 16%.

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Old 18-02-06, 10:11 AM   #11 (permalink)
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HI keerthi,

your answer is correct.

I will give you the explanation.

When a perpendicular line is drawn from diagonal to vertices of a //gm, it creates two triangles.

with hieght 27cms and base is obviously 70cm, so the area is

1/2* 70*27+ 1/2* 70*27=> 27*70= 1890


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Old 18-02-06, 10:14 AM   #12 (permalink)
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I am sorry, 4th answer is C. Decreases by 16%.
*For Explanation look at the last but one post.*


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Old 18-02-06, 10:15 AM   #13 (permalink)
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hello



1. What will be the
ratio between the area of a rectangle and the area of a triangle.... one of the
sides of the rectangle as base and a vertex on the opposite side 0: a
rectangle?




(a) 1 : 2



(b) 2 : 1



(c) 3 : 1



(d) Data inadequate



(e) None of these











2. If an equilateral
triangle of area X and a square of area Y have the same peri~then X is :





(a) equal to Y



(b) greater than Y



(c) less than Y







(d) less than or equal to Y







3. If the side of an
equilateral triangle is decreased by 20%, its area is decrease= 8r







(a) 36%



(b) 40%



(c) 60%



(d) 64%







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Old 18-02-06, 10:16 AM   #14 (permalink)
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hello



[img]file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/TEMP/moz-screenshot-2.jpg[/img]

4. If the height of a
triangle is decreased by 40% and its base is increased by 40~will be the effect
on its area?







(a) No change



(b) 8% decrease



(c) 16% dec



(d) 16% increase











(e) None of these







5. One diagonal of a parallelogram is 70 cm and the
perpendicular distance of :an diagonal from either of the outlying vertices is
27 em. The area of the parallelogr..-..
(in sq. cm) is :








(a) 1800



(b) 1836



(c) 1890





(d) 1980





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Old 20-02-06, 12:29 PM   #15 (permalink)
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hi


this is excellent ! job most of the freshers will be benefitted by it for sure thanx for u support
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