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- Question
- From station M and N, two trains start moving towards each other at speed 125 km/h and 75 km/h, respectively. When the two trains meet each other, it is founds that one train covers 50 km more than another. Find the distance between M and N.?
Options- A. 190 km
- B. 200 km
- C. 145 km
- D. 225 km
- Correct Answer
- 200 km
ExplanationLet the trains meet after time t at a distance x from station N.
Then another train coming from station M covers a distance of (x + 50)
For station M,
(x + 50) = 125t
? x = 125t - 50 ..(i)
For station N,
x = 75t .....(ii)
From Eqs. (i) and (ii), we get
75t = 125t - 50
? t = 1h
Distance between station M and N = 125 + 75t = 200 x 1 = 200 km - 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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