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- Question
A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water?
Options- A. 1 : 3
- B. 3 : 2
- C. 2 : 3
- D. 3 : 1
- Correct Answer
- 1 : 3
ExplanationLet the speed of the boat in still water is 'w'
Speed of the current is 'c'
Let the distance between two places is 'd'
According to the question, motorboat takes half time to cover a certain distance downstream than upstream.
=> 2w - 2c = w + c
=> w = 3c
=> c : w = 1 : 3
Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3
- 1. If the Price of 6 toys is Rs. 264.37, What will be the approximate price (Rs) of 5 toys?
Options- A. 230
- B. 120
- C. 320
- D. 220 Discuss
- 2. A runs 1 2/ 3 times as fast as B. If A gives B a start of 40 m, how far must the winning post be, so that A and B might reach it at the same time?
Options- A. 75 m
- B. 200 m
- C. 100 m
- D. 125 m Discuss
- 3. A person rows a kilometre down the stream in 10 minute and upstream in 30 minutes. Find the velocity of the stream?
Options- A. 1 km/hr
- B. 2 km/hr
- C. 3 km/hr
- D. 4 km/hr Discuss
- 4. One year ago the ratio between Samir and Ashok's age was 4 : 3. One years Later the sum of their ages will be 5 : 4. What is the sum of their present ages in years?
Options- A. 12 years
- B. 15 years
- C. 16 years
- D. Cannot be determined Discuss
- 5. What is 786 time of 964?
Options- A. 759276
- B. 749844
- C. 75416
- D. 757704 Discuss
- 6. The percent profit when an article is sold for Rs. 78 is twice as when it is sold for Rs. 69. The C.P. of the article is?
Options- A. Rs. 49
- B. Rs. 51
- C. Rs. 57
- D. Rs. 60 Discuss
- 7. In a game of 100 points, A scores 100 points while B scores only 65 points. In this game, how much points can A give to B?
Options- A. 45
- B. 35
- C. 25
- D. 55 Discuss
- 8. Find the value of log 8 + log 1/8?
Options- A. 0
- B. 1
- C. 2
- D. log (64) Discuss
- 9. Given log 10 2 = 0.30103, log 10 3 = 0.47712. Find the number of digit, in 3 12 x 2 8?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
- 10. Find the product of place value and face value of 5 in 65231
Options- A. 28000
- B. 25000
- C. 27000
- D. 26000 Discuss
More questions
Correct Answer: 220
Explanation:
Given in the question,
Price of 6 toys is Rs. 264.37.
? Price of 1 toys is Rs. 264.37/ 6 .
? Price of 5 toys is Rs. 264.37 x 5 / 6 .
? Price of 5 toys is Rs. 44 x 5 .
? Price of 5 toys is Rs. 220.
Correct Answer: 100 m
Explanation:
Ratio of the speeds of A and B = 5 : 3
Thus, in a race of 5m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
40 m will be gained by A in a race of (5/2) x 40 m = 100 m
? Winning post is 100 m away from the starting point.
Correct Answer: 2 km/hr
Explanation:
Velocity of stream = (downstream velocity - upstream velocity)/2
= (60/10 - 60/30)/2
= 2 km/hr
Correct Answer: 16 years
Explanation:
Let their ages one years ago be 4x and 3x years.
? (4x + 2)/(3x + 2) = 5 / 4
? 4(4x + 2) = 5(3x + 2)
? x = 2
? Sum of their present ages = (4x + 1) + (3x + 1) = 16 years
Correct Answer: 757704
Explanation:
Required number
= 786 x 964 = 757704
Correct Answer: Rs. 60
Explanation:
Let the C.P. be Rs. x
Then 2(69 - x) / 100 = (78 - x) / 100
? 138 - 2x = 78 - x
? x = 60
? C.P. = Rs. 60
Correct Answer: 35
Explanation:
Score of A = 100 points
Score of B = 65 points
? A can give (100 - 65 ) = 35 points to B.
Correct Answer: 0
Explanation:
Given expression = log 8 + log (1/8)
= log 8 x (1/8)
= log 1
= 0
Correct Answer: 9
Explanation:
Let N = 312 x 28
? log N = 12 x log3 + 8 x log 2
? log N = 12 x 0.47712 + 8 x 0.30103
? log N = 8.13368
? No.of digits = 8 + 1 = 9
Correct Answer: 25000
Explanation:
Place value of 5 in 65231 = 5 x 1000
= 5000
Face value = 5
required product = 5000 x 5 = 25000
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