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- Question
A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
Options- A. 3.6 sec
- B. 18 sec
- C. 36 sec
- D. 72 sec
- Correct Answer
- 36 sec
Explanation
Speed of train relative to jogger = (45 - 9) km/hr = 36 km/hr.= ❨ 36 x 5 ❩m/sec 18 = 10 m/sec.
Distance to be covered = (240 + 120) m = 360 m.
- 1. How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
Options- A. 36 kg
- B. 42 kg
- C. 54 kg
- D. 63 kg Discuss
- 2. 39.8% of 400 +?% of 350 = 230
Options- A. 15
- B. 25
- C. 18
- D. 20 Discuss
- 3. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
Options- A. 0
- B. 2
- C. 4
- D. 6 Discuss
- 4. The day before the day before yesterday is three days after Saturday. What day is it today?
Options- A. Tuesday
- B. Wednesday
- C. Thursday
- D. Friday Discuss
- 5. Rakesh credits 15% of his salary in his fixed deposit account and spend 30% of the remaining amount on groceries. If the cash in hand is Rs. 2380, What is this salary?
Options- A. 35000
- B. 4000
- C. 45000
- D. 5000 Discuss
- 6. If a number is decreased by 4 and divided by 6 the result is 9. What would be the result if 3 is subtracted from the number and then it is divided by 5?
Options- A. 9 2/ 5
- B. 10 1/ 5
- C. 11 2/ 5
- D. 11 Discuss
- 7. (1.04 x 1.04 + 1.04 x 0.04 + 0.04 x 0.04) / (1.04 x 1.04 x 1.04 - 0.04 x 0.04 x 0.04) =?
Options- A. 0.10
- B. 0.1
- C. 1
- D. 0.01 Discuss
- 8. (0.47 x 0.47 x 0.47 - 0.33 x 0.33 x 0.33) / (0.47 x 0.47 + 0.47 x 0.33 + 0.33 x 0.33) =?
Options- A. 0.14
- B. 0.8
- C. 15.51
- D. 1 Discuss
- 9. A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day. After 30 days, 25 % of the work is completed. How many additional persons should be deployed so that the work will be completed in the scheduled time, each person now working 9 hours a day.
Options- A. 60
- B. 58
- C. 12
- D. 56 Discuss
- 10. In a class of 100 students, the number of students passed in English only is 46, in Maths only is 46, in Commerce only is 58. The number who passed in English and Maths is 16, Maths and Commerce is 24 and English and Commerce is 26, and the number who passed in all the subjects is 7. Find the number of the students who failed in all the subjects.
Options- A. 9
- B. 8
- C. 10
- D. None of these Discuss
More questions
Correct Answer: 63 kg
Explanation:
| ∴ C.P. of 1 kg of mixture = Rs. | ❨ | 100 | x 9.24 | ❩ | = Rs. 8.40 |
| 110 |
By the rule of allilation, we have:
| C.P. of 1 kg sugar of 1st kind Cost of 1 kg sugar of 2nd kind | ||
| Rs. 9 | Mean Price Rs. 8.40 |
Rs. 7 |
| 1.40 | 0.60 | |
∴ Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.
Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.
Then, 7 : 3 = x : 27
| ⟹ x = | ❨ | 7 x 27 | ❩ | = 63 kg. |
| 3 |
Correct Answer: 20
Explanation:
39.8% of 400 + ?% of 350 = 230
? 159.2 + (350 x ?)/100 = 230
&Arr; ? = (230 - 159.2) x 100/360 = 20.23 = 20
Correct Answer: 4
Explanation:
3 x - y = 27 = 3 3 ⟺ x - y = 3 ....(i)
3x + y = 243 = 35 ⟺ x + y = 5 ....(ii)
On solving (i) and (ii), we get x = 4.
Correct Answer: Friday
Explanation:
Three days after Saturday is Tuesday and Tuesday is a day before a day before yesterday So, yesterday is Tuesday.
Hence, today is Friday.
Correct Answer: 4000
Explanation:
Let salary be Rs. A, then A - 15 % of A - 30% of 85% of A = 2380
? A - 15A/100 - (30 x 85 x A)/(100 x 100) = 2380
? 200A - 30A - 51A = 2380 x 200
? 119A = 2380 x 200
? A = (2380 x 200)/199 = 4000
Correct Answer: 11
Explanation:
Let the number be x.
? (x - 4)/6 = 9
? x = 58
Again (x - 3)/5 = (58 - 3)/5 = 11
Correct Answer: 1
Explanation:
Given Expression = (1.04)2 + 1.04 x 0.04 + (0.04)2 / (1.04)3 - (0.04)3
= (a2 + ab + b2) / (a3 - b3)
= (a2 + ab + b2) / [(a-b) (a2 + ab + b2)]
= 1 / (a - b)
= 1/ (1.04 - 0.04)
= 1
Correct Answer: 0.14
Explanation:
Given expression
= [(0.47)3 - (0.33)3] / [(0.47)2 + 0.47 x 0.33 + (0.33)2]
= [a3 - b3 ] / [ a2 + ab + b2]
= [(a-b) (a2 + ab + b2)] / [(a2 + ab + b2)]
= (a - b)
= (0.47 - 0.33)
= 0.14
Correct Answer: 56
Explanation:
According to question ,
Correct Answer: 9
Explanation:
No. of students who passed in one or more subjects = 11 + 9 + 13 + 17 + 15 + 19 + 7 = 91.
No. of students who failed in all the subjects = 100 ? 91 = 9.
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