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- Question
- What is the smaller angle of a parallelogram?
I. Ratio between the angles of a triangle is 3 : 5 : 4 and the larger angle, of the parallelogram is 34 ° more than the largest angle of the triangle.
II. Larger angle of the parallelogram is 38° more than its smaller angle.
Options- A. If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
- B. If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- C. If the data in either Statement I alone or in Statement II alone are sufficient to answer the question
- D. If the data in both the Statements I and II are not sufficient to answer the question
- Correct Answer
- If the data in either Statement I alone or in Statement II alone are sufficient to answer the question
ExplanationFrom Statement I.
Let the ratio proportion is x.
some of angle of triangle = 180 °
3x + 5x + 4x = 180 °
12x = 180 °
x = 180 ° /12
x = 15 °
Largest angle of triangle
= 5x = 5 x 15
= 75 °
? Larger angle of parallelogram
= 75 ° + 34 °
= 109 °
? Smaller angle of parallelogram
= 180 ° - 109 °
= 71 °
From Statement II,
Let the smaller angle of parallelogram be = x
and the larger angle of parallelogram = x + 38 °
Sum of two opposite angles of a parallelogram = 180 °
x + x + 38 ° = 180 °
? 2x = 180 ° - 38°
? 2x = 142°
? x = 142° / 2
? x = 71 ° - 1. Total number of mobiles of models A, B and E manufactured in 2007 was
Options- A. 24,50,000
- B. 22,75,000
- C. 21,00,000
- D. 19,25,000 Discuss
- 2. Shiv Kumar has to travel a distance of 15 Km in all. He decides to travel equal distance by each of the three types of vehicles. How much money is to be spent as fare?
Options- A. $ 51.75
- B. $ 47.50
- C. $ 47.25
- D. $ 51.25 Discuss
- 3. During which year the percentage rise/fall in imports from the previous year is the lowest?
Options- A. 2003
- B. 2004
- C. 2006
- D. 2007 Discuss
- 4. If the total income of the family for the year 2009 was 1,50,000 then the difference between the expenditures on housing and transport was :
Options- A. $ 15,000
- B. $ 10,000
- C. $ 12,000
- D. $ 7,500 Discuss
- 5. If the total amount spent was $ 46000, how much money was spent on clothing and housing together?
Options- A. $ 11500
- B. $ 1150
- C. $ 10000
- D. $ 15000 Discuss
- 6. What is the total number of girls enrolled in Painting from all the Institutes together?
Options- A. 1100
- B. 1150
- C. 1200
- D. 1275 Discuss
- 7. Annual mean profit of the store (rupees in ten thousand) is approximately:
Options- A. 8.5
- B. 8.6
- C. 8.7
- D. 9.0 Discuss
- 8. During which of the following successive weeks number of persons killed came down to a minimum level?
Options- A. 28 July - 4 August
- B. 7 July - 14 July
- C. 30 June - 7 July
- D. 21 July - 28 July Discuss
- 9. If the income of Company A in 2002 was $ 600 billion, what was its expenditure?
Options- A. $ 360billion
- B. $ 480 billion
- C. $ 375 billion
- D. Cannot be determined Discuss
- 10. Graph shows that the maximum amount was spent on:
Options- A. Food
- B. Housing
- C. Clothing
- D. Others Discuss
More questions
Correct Answer: 21,00,000
Explanation:
Correct Answer: $ 51.25
Explanation:
Correct Answer: 2007
Explanation:
As per given graph, we calculate the difference in two consecutive years import.
In 2003, change in imports = (35 - 30)/35 x 100 = 100/7 = 139/7% fall
In In 2004, change in imports = (40 - 30)/ 50 x 100 = 1/3 x 100 = 331/3% rise
In 2006, change in imports = (55 - 50)/50 x 100 = 10% rise
In 2007, change in imports = (60 - 55/55) x 100 = 91/11% rise
Hence, in 2007 the percentage rise/fall in imports from the previous year is the lowest.
Correct Answer: $ 15,000
Explanation:
Correct Answer: $ 11500
Explanation:
Correct Answer: 1100
Explanation:
Total number of girls enrolled in Painting = 250 + 225 + 15 + 175 + 300 + = 1100
Correct Answer: 8.7
Explanation:
Annual mean profit of the store (rupees in ten thousands)
= (6.5 + 11.5 + 7.5 + 4.5 + 9.5 + 11.5 + 10.0 + 8.5)/8 = 69.5/8 =8.7 (approx.)
Correct Answer: 7 July - 14 July
Explanation:
According to the bar graph, two successive weeks, i.e. 7 July - 14 July shows maximum decline in the number of persons of killed in road accidents.
Correct Answer: $ 375 billion
Explanation:
Correct Answer: Food
Explanation:
From above graph ,
It is clear that the maximum amount was spent on Food , which is 23 % .
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