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- Question
- A man on the top of a vertical towers observes a car moving at a uniform speed coming directly towards it. if it takes 12 minute for the angle of depression to change from 30° to 45°, how soon after this will the car reach the tower?
Options- A. 14 min 20 sec.
- B. 15 min 22 sec.
- C. 16 min.
- D. 16 min 23 sec.
- Correct Answer
- 16 min 23 sec.
ExplanationLet us draw a figure below from given question.
Let AB = h meter be the height of the tower B and C are two points such that ?ACB = 30° ?ADB = 45° and CD = x meter (say)
From right triangle ABD,
tan 45° = h/BD
? BD = h meter;
Again from right triangle ABC
tan 30° = h/(h + x )
? h + x = ?3 h
? x = (1.73 - 1)h = 0.73h
Now, 0.73h meter covered in 12 min
Hence, h meter covered in 12/0.73 = 1200/73 min = 16 min 23 sec . - 1. 0.0169 / 0.013=?
Options- A. .13
- B. .013
- C. 1.3
- D. 13 Discuss
- 2. Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :
Options- A. x 2 ?2
- B. x 4
- C. x ?2
- D. x ?2 Discuss
- 3. If p/q =4/5, then the value of 4/7 + {(2q - p) / (2q + p)} is?
Options- A. 3 / 7
- B. 34
- C. 1
- D. 2 Discuss
- 4. What is 25% of 25% is equal to?
Options- A. 6.25
- B. .625
- C. .0625
- D. .000625 Discuss
- 5. The number .05 is hoe many percent of 20?
Options- A. 25
- B. .025
- C. .25
- D. 2.5 Discuss
- 6. Find the lowest common multiple of 24, 36 and 40.
Options- A. 120
- B. 240
- C. 360
- D. 480 Discuss
- 7. 8 1/ 3% expressed as a fraction is?
Options- A. 25/3
- B. 3/25
- C. 1/12
- D. 1/4 Discuss
- 8. .025 in terms of term of rate per cent is?
Options- A. .25%
- B. 2.5%
- C. 0.25%
- D. 371/2% Discuss
- 9. What percentage of 2/7 is 1/35?
Options- A. 2.5%
- B. 10%
- C. 25%
- D. 20% Discuss
- 10. A sum of ? 4000 is lent out in two parts, one at 8% simple interest and other at 10% simple interest. If the annual interest is ? 352, the sum lent at 8% is
Options- A. ? 1600
- B. ? 2400
- C. ? 1800
- D. ? 2800 Discuss
More questions
Correct Answer: 1.3
Explanation:
0.0169 / 0.0130 = 169 / 130
= 13 / 10
Correct Answer: x 2 ?2
Explanation:
Correct Answer: 1
Explanation:
Given Exp. = 4 / 7 + {(2q - p) / (2q + p)}
Dividing numerator as well as denominator by q,
Exp = 4/7 + {2-p/q) / (2 + p/q)}
= 4/7 + {(2 - 4/5) / (2 + 4/5)}
= 4/7 + 6/14
= 4/7 + 3/7
=7/7
=1.
Correct Answer: .0625
Explanation:
25% of 25% = (25/100) x (25/100) = 625/10000 = 0.625
Correct Answer: .25
Explanation:
Let y% of 20 = .05
Then, (y x 20)/100 = .05
? y = .25
Correct Answer: 360
Explanation:
2 | 24 - 36 - 40 -------------------- 2 | 12 - 18 - 20 -------------------- 2 | 6 - 9 - 10 ------------------- 3 | 3 - 9 - 5 ------------------- | 1 - 3 - 5 L.C.M. = 2 x 2 x 2 x 3 x 3 x 5 = 360.
Correct Answer: 1/12
Explanation:
81/3% = (25/3 x 1/100) = 1/12
Correct Answer: 2.5%
Explanation:
.025 = (25/1000) x 100% = 2.5%
Correct Answer: 10%
Explanation:
Let N% of 2/7 is 1/35
? (2/7 x N) / 100 = 1/35
? N = 1/35 x 7/2 x 100 = 10%
Correct Answer: ? 2400
Explanation:
Let the money interest at 8% interest be ? P .
Then, the money interest at 10% interest = ?(4000 - P)
According to the question,
(P x 8 x 1)/100 + [(4000 - P) x 10 x 1]/100 = 352
? 8P + 40000 - 10P = 35200
? 40000 - 35200 = 2P
? P = 4800/2 = ? 2400
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