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- Question
- If m = 7 - 4?3, then (?m + 1/?m) =?
Options- A. 8
- B. 3
- C. 4
- D. 9
- Correct Answer
- 4
ExplanationGiven that ,
m = 7 - 4?3
Then I/m = 1/7 - 4?3......................(1)
Now multiply and divide with 7 + 4?3 in Eq. (1)
We will get,
1/m = ( 1/7 - 4?3 ) x ( 7 + 4?3 / 7 + 4?3)
?1/m = ( 7 + 4?3 )/ ( 7 - 4?3 ) x ( 7 + 4?3
?1/m = ( 7 + 4?3 ) / ( 72 - ( 4?3)2 )
?1/m = ( 7 + 4?3 ) / ( 49 - 4 x 4 x 3 )
?1/m = ( 7 + 4?3 ) /49 - 48
?1/m = ( 7 + 4?3 ) / 1
?1/m = 7 + 4?3
? m + 1/m = 14
? ( m + 1/m ) + 2 = 14 + 2 = 16
? (?m + 1/?m)2 = ( m + 1/m )+ 2
? (?m + 1/?m)2 = 16
? (?m + 1/?m)2 = 42
? (?m + 1/?m) = 4 - 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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