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- Question
- An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it ,The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2, and 0.1 respectively. What is the probability that the plane is hit when all the four shots are fired?
Options- A. 0.4379
- B. 0.6872
- C. 0.6976
- D. 0.3507
- Correct Answer
- 0.6976
ExplanationFirst we find the probability that the plane is not hit
= (1 - 0.4) ( 1 - 0.3) (1 - 0.2) (1 - 0.1)
= 0.6 x 0.7 x 0.8 x 0.9 = 0.3024
? probability that the plane is hit = 1 - 0.3024
= 0.6976 - 1. What is the value of sin 46 cos 44+ cos 46 sin 44?
Options- A. 2
- B. sin 2
- C. 1
- D. 0 Discuss
- 2. What is the number of decimal places in a cube root of a number having 27 decimal places ?
Options- A. 3
- B. 6
- C. 9
- D. 27 Discuss
- 3. Suppose 0 < ? < 90, then for every ? 4 sin2 ? + 1 is greater than or equal to ?
Options- A. 2
- B. 4 sin ?
- C. 4 cos ?
- D. 4 tan ? Discuss
- 4. The cube of 105 is
Options- A. 1157625
- B. 1175625
- C. 1185625
- D. 1158625 Discuss
- 5. Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?
Options- A. 1:?3
- B. 1:3
- C. 1:2
- D. 1:2?3 Discuss
- 6. What is the value of 473+529+256+289 ?
Options- A. 27
- B. 23
- C. 19
- D. 39 Discuss
- 7. What is the value of tan 1° tan 2° tan 3°....... tan 89° ?
Options- A. 0
- B. 1
- C. 2
- D. infinity Discuss
- 8. If the numbers 93, 204, 256 are arranged in ascending order, then the right arrangement is
Options- A. 256 < 204 < 93
- B. 93 < 204 < 256
- C. 204 < 256 < 93
- D. 256?< 93 < 204 Discuss
- 9. Which of the following pair of numbers is the solution of the equation 3x+2+ 3?x= 10 ?
Options- A. 0, 2
- B. 0, -2
- C. 1, -1
- D. 1, 2 Discuss
- 10. The cube of 997 is
Options- A. 991026973
- B. 991029673
- C. 991029773
- D. 991097273 Discuss
More questions
Correct Answer: 1
Explanation:
sin 46. cos 44+ cos 46. sin 44
sin 46. sin (90 -44)+ cos 46. cos (90 -44)
= sin^2 46 + cos^2 46
= 1
Correct Answer: 9
Correct Answer: 4 sin ?
Explanation:
We know that,
Arithmetic mean ? Geometric mean
Correct Answer: 1157625
Correct Answer: 1:3
Explanation:
Let the side of regular hexagon be ?a?
Let height of the tower 1 be h1 and tower 2 be h2
Height of tower 1 = h1 = (distance between A and B)* (tan 30o)= a.1/?3
Distance between A and C = 2*?3.a/2= ?3a
Height of tower 2 = h2 = (distance between A and C)* (tan 45o) = ?3a.1 = ?3a
Ratio of height of towers at B and C respectively =a/?3/?3a = 1/3.
Correct Answer: 23
Correct Answer: 1
Correct Answer: 256?< 93 < 204
Correct Answer: 0, -2
Correct Answer: 991026973
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