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- Question
If the ratio of the ages of two friends A and B is in the ratio 3 : 5 and that of B and C is 3 : 5 and the sum of their ages is 147, then how old is B?
Options- A. 27 Years
- B. 75 Years
- C. 45 Years
- D. 49 Years
- Correct Answer
- 45 Years
ExplanationThe ratio of the ages of A and B is 3 : 5.
The ratio of the ages of B and C is 3 : 5.
B's age is the common link to both these ratio. Therefore, if we make the numerical value of the ratio of B's age in both the ratios same, then we can compare the ages of all 3 in a single ratio.
The can be done by getting the value of B in both ratios to be the LCM of 3 and 5 i.e., 15.
The first ratio between A and B will therefore be 9 : 15 and
the second ratio between B and C will be 15 : 25.
Now combining the two ratios, we get A : B : C = 9 : 15 : 25.
Let their ages be 9x, 15x and 25x.
Then, the sum of their ages will be 9x + 15x + 25x = 49x
The question states that the sum of their ages is 147.
i.e., 49x = 147 or x = 3.
Therefore, B's age = 15x = 15*3 = 45 - 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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