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- Question
- The angles of depression of two ships from the top of a light house are 45° and 30° towards east. if the ships are 200 m apart, find the height of the light house .
Options- A. 100 m
- B. 173 m
- C. 200 m
- D. 273 m
- Correct Answer
- 273 m
ExplanationLet us draw a figure below as per given question.
Let AB = h meter be the height of the tower and two ships are situated at D and C respectively; such that, CD = 200 m; ?ADC = 30° ?ACB = 45° and BC = x meter (say)
Now from right triangle ABC,
tan 45° = h/x ? 1 = h/x
? x = h
Again from right triangle ABD,
tan 30° = h/( 200 + x )
? 1/?3 = h/( 200 + x )
Since x = h , we will get.
? 1/?3 = h/(200 + h )
? (200 + h ) = h X ?3
? h X ?3 - h = 200
? h x 1.732 - h = 200
? h(1.732 - 1) = 200
? h = 200/0.732 = 273.2 m = 273 m - 1. Find the present worth of a bill of Rs. 2420 due 2 years later at 10% compound interest. Also find the true discount?
Options- A. Rs. 2000, Rs. 420
- B. Rs. 2200, Rs. 520
- C. Rs. 2100, Rs. 460
- D. None of these Discuss
- 2. In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Options- A. (9, 11, 14)
- B. (13, 15, 18)
- C. (17, 19, 22)
- D. (21, 23, 28) Discuss
- 3. Find the odd word/letters/numbers pair from the given alternatives.
Options- A. 41 - 72
- B. 12 - 30
- C. 51 - 42
- D. 11 - 20 Discuss
- 4. Find the odd man out. 253, 136, 352, 324, 631, 244
Options- A. 324
- B. 136
- C. 352
- D. 631 Discuss
- 5. Select the odd word from the given alternatives.
Options- A. Stream
- B. Rivulet
- C. River
- D. Valley Discuss
- 6. Select the odd word from the given alternatives.
Options- A. Chair
- B. Sofa
- C. Couch
- D. Television Discuss
- 7. Find the odd number in the following number series? 24, 4, 13, 41, 151, 640
Options- A. 4
- B. 640
- C. 41
- D. 13 Discuss
- 8. Find the odd term from the given series of numbers ? 125, 127, 130, 135, 142, 153, 165 ?
Options- A. 153
- B. 165
- C. 142
- D. 127 Discuss
- 9. What comes next in this sequence 196, 169, 144, 121, 100, 81, ?
Options- A. 77
- B. 74
- C. 67
- D. 64 Discuss
- 10. Find out the odd word/letters/number/number pair from the given alternatives.
Options- A. LJH
- B. XUS
- C. VTR
- D. FDB Discuss
More questions
Correct Answer: Rs. 2000, Rs. 420
Explanation:
Here sum is put on compound interest,
? P.W. = A / (1 + r / 100)n = 2420 / (1 + 10 / 100)2 = 2420 x 100 / 121 = Rs. 2000
? T.D. = P.W. - P
? True discount = 2420 - 2000 = Rs. 420
Correct Answer: (21, 23, 28)
Correct Answer: 41 - 72
Correct Answer: 324
Explanation:
The Sum of the digits in each number, Except 324 is 10.
Correct Answer: Valley
Correct Answer: Television
Correct Answer: 41
Explanation:
The given number series follows the pattern that,
24×0 + 4 = 4
4×1 + 9 = 13
13×2 + 16 = 42
42×3 + 25 = 151
151×4 + 36 = 640
Therefore, the odd number in the given series is 41
Correct Answer: 165
Explanation:
From the beginning, the next term comes by adding prime numbers in a sequence of 2, 3, 5, 7, 9, 11, 13... to its previous term. But 165 will not be in the series as it must be replaced by 166 since 153+13 = 166.
Correct Answer: 64
Explanation:
The given number series follows a pattern that
196, 169, 144, 121, 100, 81, ?
-27 -25 -23 -21 -19 -17
=> 81 - 17 = 64
Therefore, the series is 196, 169, 144, 121, 100, 81, 64.
Correct Answer: XUS
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