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- Question
- The present ages of two persons are 36 and 50 years respectively, if after n years the ratio of their ages will be 3:4, then the value of n is
Options- A. 3
- B. 4
- C. 7
- D. 6
- Correct Answer
- 6
ExplanationThe present ages of two persons are 36 and 50 years respectively
After n years the age of both persons will be 36 + n and 50 + n respectively.
According to question,
After n years the ratio of their ages will be 3:4,
(36 + n)/(50 + n) = 3/4
? (36 +n) x 4 = 3 x (50 + n)
? 36 x 4 + 4 x n = 50 x 3 + 3 x n
? 144 + 4n = 150 + 3n
? 4n - 3n =150 -144
? n = 6 - 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:
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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