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- Question
- A 6 ft-tall man finds that the angle of elevation of the top of a 24 ft-high pillar and the angle of depression its base are complementary angles. Then the distance between pillar and man is?
Options- A. 2?3 ft
- B. 4?3 ft
- C. 6?3 ft
- D. 8?3 ft
- Correct Answer
- 6?3 ft
ExplanationLet us draw a figure below from the given question.
Let AB = 24 ft and CD = 6 ft be the height of the pillar and man respectively.
Here ? ACE = ? ? CBD = 90° - ?
Now from right triangle CDB,
BD = 6 cot (90° - ?) = 6 tan ?
? tan ? = BD/6 ...............(i)
From right triangle ACE,
tan ? =18/EC = 18/BD ...............(ii) (? EC = BD)
Now from (i) and (ii) we get,
BD/6 = 18/BD
? BD2 = 18 x 6
? BD = 6?3 ft.
Hence, distance between pillar and man = 6?3 ft - 1. 3739 + 164 x 27 =?
Options- A. 105400
- B. 4000
- C. 8200
- D. 690 Discuss
- 2. A solution of sugar syrup has 15 % sugar. Another solution has 5 % sugar. How many liter of the second solution must be added to 20 liters of the first solution to make a solution of 10 % sugar?
Options- A. 10
- B. 5
- C. 15
- D. 20 Discuss
- 3. If x = 997, y = 998, z = 999, then the value of x2 + y 2 + z 2 ? xy ? yz ? zx will be
Options- A. 3
- B. 9
- C. 16
- D. 4 Discuss
- 4. 190, 166, 145, 128, 112, 100, 91
Options- A. 100
- B. 166
- C. 145
- D. 128
- E. 112 Discuss
- 5. In how many ways can the letter of the word ' civilization' be arranged?
Options- A. 12! / 4!
- B. 12! / 4! -1
- C. 13! / 5! - 1
- D. None of these Discuss
- 6. From 4 officers and 8 Jawans in how many ways can 6 be chosen to include at least one officer?
Options- A. 896
- B. 986
- C. 886
- D. 996 Discuss
- 7. The average age of a man and his son is 27 yr. The ratio of their ages is 8 : 1, respectively. What will be the son's age after 6 yr?
Options- A. 6 yr
- B. 14 yr
- C. 12 yr
- D. 8 yr Discuss
- 8. If nP r= 720 nC r than the value r is?
Options- A. 6
- B. 5
- C. 4
- D. 7 Discuss
- 9. The average daily wages of staff, consisting of supervisors and labourers, of a company is Rs. 50. The average wages of supervisors is Rs. 150 while that of labourers is Rs. 40 per day. If the number of supervisors is 15, find the number of labourers in the company.
Options- A. 150
- B. 175
- C. 180
- D. 200 Discuss
- 10. If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/ 27. find the fraction?
Options- A. 8/27
- B. 11/3
- C. 22/3
- D. 32/3 Discuss
More questions
Correct Answer: 8200
Explanation:
3739 + 164 x 27 = ?
? = 3739 + 4428 = 8167 ? 8200
Correct Answer: 20
Explanation:
Correct Answer: 3
Explanation:
Correct Answer: 128
Explanation:
190 - 24 = 166 166 - 21 = 145 145 - 18 = 127 [Here, 128 is placed instead of 127] 127 - 15 = 112 112 - 12 = 100 ... and so on.
Therefore, 128 is wrong.
Correct Answer: 12! / 4! -1
Explanation:
There are 12 letters in the world 'civilization' of which four are i's and other are different letters.
? Total number of permutations = 12!/4!
But one word is civilization itself.
? Required number of rearrangements = 12!/4! - 1
Correct Answer: 896
Explanation:
We may choose 1 officer and 5 jawans or 2 officers and 4 jawans ......... or 4 officers and 2 jawans.
So Required answer = [4C1 x 8C5] + [4C2 x 8C4] + [4C3 x 8C3] + [4C4 x 8C2]
= 224 + 420 + 224 + 28 = 896.
Correct Answer: 12 yr
Explanation:
Let ages of man and his son are 8k yr and k yr, respectively .
According to the question,
(8k + k)/2 = 27
? k = (27 x 2)/9 = 6
Hence, age of son after 6 yr = 6 + 6 = 12 yr
Correct Answer: 6
Explanation:
We know that, nPr = nCrr!
? nPr = 720nCr
? nCr.r! = 720nCr
? r! = 720
? r = 6
Correct Answer: 150
Explanation:
As per figure we can calculate the ration as below.
Number of supervisors / Number of labourers = (10 / 100) = 1/10
Total number of labourers = Total no. of supervisors × 10
= 15 × 10 = 150.
Correct Answer: 22/3
Explanation:
If the required fraction be N.
Then, (N x N) / (1/N) = 1826/27
? N3 = 512 / 27
? N = 8/3 = 22/3
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