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- Question
- The distance travelled by a train is 1830 km. The speed of the train is one more than twice the time taken to travel the distance. What will be the respective ratio of the speed of the train and time taken to travel?
Options- A. 30 : 61
- B. 61 : 30
- C. 25 : 51
- D. 51 : 25
- Correct Answer
- 61 : 30
ExplanationLet time taken to cover the distance = t
? Speed = (2t + 1)
? t(2t + 1) = 1830 ? 2t2 + t = 1830
? 2t2 + t - 1830 = 0
? t = -1 ± ?(1)2 - 4 x 2 x(-1830) / 2 x 2
= -1 ± ?1 + 14640 / 4
= -1 ± 121 / 4
Taking '+' sign t = -1 + 121 / 4 = 120/4 = 30
? Required ratio = (2 x 30 + 1) : 30 = 61 : 30 - 1. What is the annual income by investing Rs. 3000 in 6% stock at 120?
Options- A. Rs. 150
- B. Rs. 100
- C. Rs. 200
- D. Rs. 250 Discuss
- 2. The average age of 45 students in a class in 13 yr, 15 new students with an average age of 18 yr join the class. What is the average age of all the students in the class?
Options- A. 13.15 yr
- B. 14.25 yr
- C. 12.28 yr
- D. 16.42 yr Discuss
- 3. A batsman has a certain average of runs for 14th innings. He scores 72 runs in the 15th innings, thus his average increased by 2. Find the average after 15th innings.
Options- A. 44
- B. 46
- C. 42
- D. 48 Discuss
- 4. A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Options- A. Rs. 2000
- B. Rs. 10,000
- C. Rs. 15,000
- D. Rs. 20,000 Discuss
- 5. If 7 kg of tea of price ? 72 per kg is blended with 33 kg of tea of ? 87 per kg and 35 kg of ? 85 per kg and the mixture is sold at 15% profit, then what is the selling price of the mixture?
Options- A. ? 80.66 per kg
- B. ? 102.33 per kg
- C. ? 91.22 per kg
- D. ?. 97.37 per kg Discuss
- 6. A runner runs 1 1? 4 laps of a 5 lap race. What fractional part of the race remains to be run?
Options- A. 15?4
- B. 4?5
- C. 5?6
- D. 2?3 Discuss
- 7. Goods were bought for Rs. 600 and sold the same for Rs. 688.50 at a credit of 9 months and thus gaining 2% The rate of interest per annum is:
Options- A.
16 2 % 3 - B.
14 1 % 2 - C.
13 1 % 3 - D. 15% Discuss
- 8.
The value of ( - 1 ) -(2/3) 125
Options- A. 1 25
- B. 25
- C. 5
- D. 1 5 Discuss
- 9. (4 x 4 x 4 x 4 x 4 x 4) 5 x (4 x 4 x 4) 8 ÷ (4) 3 = (64) ?
Options- A. 17
- B. 10
- C. 16
- D. 11 Discuss
- 10. A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is the number?
Options- A. 3.5
- B. 6
- C. 8
- D. None of these Discuss
More questions
Correct Answer: Rs. 150
Explanation:
120 = (3000 x 6) / (Ans - 0)
? Ans = (3000 x 6) / 120 = Rs. 150
Correct Answer: 14.25 yr
Explanation:
Sum of the age of 45 students = 45 x 13 = 585 yr
Sum of the age of 15 students = 15 x18 = 270 yr
Sum of the age of all students = sum of the age of 45 students + sum of the age of 15 students
= 585 yr + 270 yr
=855 yr
? Average age of all students = 855 ? 60
= 14.25 yr
Correct Answer: 44
Explanation:
Let the average of 14th innings = x
? Average of 15th innings = x+2
Then, 14x+72 = 15(x+2)
? 14x+72 = 15x +30
? x = 42
? Average for 15th innings = x+2 = 42 + 2 = 44
Correct Answer: Rs. 15,000
Explanation:
| Principal = Rs. | ❨ | 100 x 5400 | ❩ | = Rs. 15000. |
| 12 x 3 |
Correct Answer: ?. 97.37 per kg
Explanation:
CP per kg of the mixture = (w1x1 + w2x2 + w3x3) / (w1 + w2 + w3)
= (7 x 72 + 33 x 87 + 35 x 85)/75
= (504 + 2871 + 2975)/75 = 6350/75 = ? 84.66
Profit = 15%
? SP per kg = ? 84.66 + 15% of ? 84.66
= ? 97.37
Correct Answer: 15?4
Explanation:
race remains to be run = 5 - 5?4 = 15?4 .
Correct Answer:
| 16 | 2 | % |
| 3 |
Explanation:
| S.P. = 102% of Rs. 600 = | ❨ | 102 | x 600 | ❩ | = Rs. 612. |
| 100 |
Now, P.W. = Rs. 612 and sum = Rs. 688.50.
∴ T.D. = Rs. (688.50 - 612) = Rs. 76.50.
Thus, S.I. on Rs. 612 for 9 months is Rs. 76.50.
| ∴ Rate = | ❨ | 100 x 76.50 | ❩% | = 16⅔% |
|
Correct Answer: 25
Correct Answer: 17
Explanation:
(4 x 4 x 4 x 4 x 4 x 4)5 x (4 x 4 x 4)8 ÷ (4)3 = (64)?
? (46)5 x (43)8 x 1/(4)3 = (43)?
? (4)30 x (4)24/(4)3 = (4)3 x ?
? 430 + 24 - 3 = 43 x ?
? 451 = 43 x ? ? 3 x ? = 51
? ? = 51/3 = 17
Correct Answer: 8
Explanation:
Let the number be N.
According to question,
A number is doubled and 9 is added then 2N + 9
Again According to question,
If the resultant is tripled, it becomes 75.
3 ( 2N + 9 ) = 75
? 2N + 9 = 25
?2N =16
? N = 8
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