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- Question
- A square, a circle and equilateral triangle have same perimeter.
Consider the following statements.
I. The area of square is greater than the area of the triangle.
II. The area of circle is less then the area of triangle.
Which of the statement is/are correct?
Options- A. Only I
- B. Only II
- C. Both I and II
- D. Neither I nor II
- Correct Answer
- Only I
ExplanationLet the radius of circle is 'r' and a side of a square is 'a',
then given condition
2?r = 4a
? a = ?r/2
? Area of square = (?r/2)2 = ?2 /4r2 = 9.86r2/4 = 2.46r2
and area of circle = ?r2 = 3.14;r2
and let the side of equilateral triangle is x.
Then, given condition,
3x = 2?r
? x = 2?r/3
? Area of equilateral triangle = ?3/4 x 2
= ?3/4 x 4?2r2/9
= ?2/3?3r2
= 1.89r2
Hence, Area of circle > Area of square > Area of equilateral triangle. - 1. 0.0169 / 0.013=?
Options- A. .13
- B. .013
- C. 1.3
- D. 13 Discuss
- 2. Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :
Options- A. x 2 ?2
- B. x 4
- C. x ?2
- D. x ?2 Discuss
- 3. If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is?
Options- A. 3 / 7
- B. 34
- C. 1
- D. 2 Discuss
- 4. What is 25% of 25% is equal to?
Options- A. 6.25
- B. .625
- C. .0625
- D. .000625 Discuss
- 5. The number .05 is hoe many percent of 20?
Options- A. 25
- B. .025
- C. .25
- D. 2.5 Discuss
- 6. Find the lowest common multiple of 24, 36 and 40.
Options- A. 120
- B. 240
- C. 360
- D. 480 Discuss
- 7. 8 1/ 3% expressed as a fraction is?
Options- A. 25/3
- B. 3/25
- C. 1/12
- D. 1/4 Discuss
- 8. .025 in terms of term of rate per cent is?
Options- A. .25%
- B. 2.5%
- C. 0.25%
- D. 371/2% Discuss
- 9. What percentage of 2/7 is 1/35?
Options- A. 2.5%
- B. 10%
- C. 25%
- D. 20% Discuss
- 10. A sum of ? 4000 is lent out in two parts, one at 8% simple interest and other at 10% simple interest. If the annual interest is ? 352, the sum lent at 8% is
Options- A. ? 1600
- B. ? 2400
- C. ? 1800
- D. ? 2800 Discuss
More questions
Correct Answer: 1.3
Explanation:
0.0169 / 0.0130 = 169 / 130
= 13 / 10
Correct Answer: x 2 ?2
Explanation:
Correct Answer: 1
Explanation:
Given Exp. = 4 / 7 + {(2q - p) / (2q + p)}
Dividing numerator as well as denominator by q,
Exp = 4/7 + {2-p/q) / (2 + p/q)}
= 4/7 + {(2 - 4/5) / (2 + 4/5)}
= 4/7 + 6/14
= 4/7 + 3/7
=7/7
=1.
Correct Answer: .0625
Explanation:
25% of 25% = (25/100) x (25/100) = 625/10000 = 0.625
Correct Answer: .25
Explanation:
Let y% of 20 = .05
Then, (y x 20)/100 = .05
? y = .25
Correct Answer: 360
Explanation:
2 | 24 - 36 - 40 -------------------- 2 | 12 - 18 - 20 -------------------- 2 | 6 - 9 - 10 ------------------- 3 | 3 - 9 - 5 ------------------- | 1 - 3 - 5 L.C.M. = 2 x 2 x 2 x 3 x 3 x 5 = 360.
Correct Answer: 1/12
Explanation:
81/3% = (25/3 x 1/100) = 1/12
Correct Answer: 2.5%
Explanation:
.025 = (25/1000) x 100% = 2.5%
Correct Answer: 10%
Explanation:
Let N% of 2/7 is 1/35
? (2/7 x N) / 100 = 1/35
? N = 1/35 x 7/2 x 100 = 10%
Correct Answer: ? 2400
Explanation:
Let the money interest at 8% interest be ? P .
Then, the money interest at 10% interest = ?(4000 - P)
According to the question,
(P x 8 x 1)/100 + [(4000 - P) x 10 x 1]/100 = 352
? 8P + 40000 - 10P = 35200
? 40000 - 35200 = 2P
? P = 4800/2 = ? 2400
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