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- Question
The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?
Options- A. 80 degrees
- B. 60 degrees
- C. 120 degrees
- D. 40 degrees
- Correct Answer
- 60 degrees
ExplanationGiven the angles of a quadrilateral are in the ratio of 2:4:7:5
Let the angles of a quadrilateral are 2x, 4x, 7x, 5x
But we know that sum of the angles = 360 degrees.
=> 2x + 4x + 7x + 5x = 360
=> x = 20
Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.
One of the angle of the triangle = 2 x 40 = 80 degrees
The other angle is 180 - (40 + 80) = 60 degrees.Hence the second largest angle of the triangle is 60 degrees.
- 1. On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006 ?
Options- A. Sunday
- B. Thursday
- C. Tuesday
- D. Friday Discuss
- 2. The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.
Options- A. 4:25
- B. 3:25
- C. 3:15
- D. 5:25 Discuss
- 3. Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?
Options- A. (-1 , 7)
- B. (1 , -7)
- C. (1 , 6)
- D. (-1 , -7) Discuss
- 4. The G.C.D of 1.08, 0.36 and 0.9 is
Options- A. 0.03
- B. 0.9
- C. 0.18
- D. 0.108 Discuss
- 5. A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ?
Options- A. 1080 cm
- B. 180 m
- C. 108 m
- D. 118 cm Discuss
- 6. The last day of a century cannot be
Options- A. Monday
- B. Wednesday
- C. Tuesday
- D. Friday Discuss
- 7. A telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8?3 m from its foot and makes an angle of 30° with the horizontal. The height (in metre) of the post is
Options- A. 12
- B. 16
- C. 18
- D. 24 Discuss
- 8. An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?
Options- A. 1:2
- B. 1:3
- C. 2:3
- D. 3^(1/2) :2 Discuss
- 9. What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?
Options- A. -3
- B. 3
- C. -1/3
- D. 1/3 Discuss
- 10. The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
Options- A. 1008
- B. 1015
- C. 1022
- D. 1032 Discuss
More questions
Correct Answer: Friday
Correct Answer: 4:25
Explanation:
Let the diagonals of the squares be 2x and 5x respectively.
Ratio of their areas =
Correct Answer: (1 , 6)
Correct Answer: 0.18
Explanation:
Given numbers are 1.08 , 0.36 and 0.90
H.C.F of 108, 36 and 90 is 18 [ G.C.D is nothing but H.C.F]
Therefore, H.C.F of given numbers = 0.18
Correct Answer: 108 m
Explanation:
We know the rule that,
At particular time for all object , ratio of height and shadow are same.
Let the height of the pole be 'H'
Then
=> H = 108 m.
Correct Answer: Tuesday
Correct Answer: 24
Correct Answer: 3^(1/2) :2
Explanation:
area of a square = a² sq cm
length of the diagonal = cm
area of equilateral triangle with side
=
required ratio =
Correct Answer: -1/3
Correct Answer: 1015
Explanation:
Required Number = (L.C.M of 12, 16, 18,21,28)+7
= 1008 + 7
= 1015
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