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- Question
If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 126 km downstream.
Options- A. 2.8 hrs
- B. 2.7 hrs
- C. 2.6 hrs
- D. 2.5 hrs
- Correct Answer
- 2.7 hrs
ExplanationLet Speed of boat in still water = b
Let Speed of still water = w
Then we know that,
Speed of Upstream = U = boat - water
Speed of Downstream = D = boat + water
Given, U + D = 82
b - w + b + w = 82
2b = 82
=> b = 41 kmph
From the given data,
41 - w = 105/3 = 35
w = 6 kmph
Now,
b + w = 126/t
=> 41 + 6 = 126/t
=> t = 126/47 = 2.68 hrs.
- 1. Which of the following is not a leap year?
Options- A. 2100
- B. 1200
- C. 1600
- D. 2000 Discuss
- 2. Cost of 1 chair is Rs. 214 and cost of one table is Rs. 937, then what is the approximate cost of 6 dozen chairs and 4 dozen table?
Options- A. Rs. 60000
- B. Rs. 58000
- C. Rs. 55000
- D. Rs. 62000 Discuss
- 3. 783 ÷ 9 ÷ 0.75 =?
Options- A. 130
- B. 124
- C. 118
- D. 116 Discuss
- 4. 357 mangoes cost Rs. 1517·25, then what is the approximate cost of 49 dozen of mangoes?
Options- A. Rs. 2500
- B. Rs. 2600
- C. Rs. 3000
- D. Rs. 2200 Discuss
- 5. 724 ÷ 25 x 31.05 + 101 =?
Options- A. 900
- B. 1000
- C. 950
- D. 1050 Discuss
- 6. A train 400 m long is running at a speed of 54 km/hr. If it crosses a tunnel in 2 minutes. Then what is the length of tunnel?
Options- A. 1200 m
- B. 1400 m
- C. 1600 m
- D. 1800 m Discuss
- 7. A piece of an alloy of two metals (A and B) weighs 15 gms and costs Rs. 150. If the weights of the two metals be interchanged, the new alloy would be worth Rs. 120. If the price of metal A is Rs. 6 per gm, find the weight of the other metal in the original piece of alloy.
Options- A. 5 gms
- B. 8 gms
- C. 10 gms
- D. 12 gms Discuss
- 8. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Options- A. 3.6
- B. 7.2
- C. 8.4
- D. 10 Discuss
- 9. In a 200 m race, A can beat B by 50 m and B can beat C by 8 m. In the same race , A can beat C by what distance?
Options- A. 60 m
- B. 72 m
- C. 56 m
- D. 66 m Discuss
- 10. 26.823 x 27.923 x 4.5001 =?
Options- A. 3500
- B. 3450
- C. 3100
- D. 3400 Discuss
More questions
Correct Answer: 2100
Explanation:
The century divisible by 400 is a leap year. 2100 is not divisible by 400 hence is not a leap year.
Correct Answer: Rs. 60000
Explanation:
? Cost of 6 dozen chairs = 6 x 12 x214 = Rs. 15408
And cost of 4 dozen tables = 4 x 12 x 937 = Rs. 44976
? Total cost =15408 + 44976
= Rs. 60384
= Rs. 60000 (Approximately)
Correct Answer: 116
Explanation:
? = 783/9 x 0.75 = 116
Correct Answer: Rs. 2500
Explanation:
Correct Answer: 1000
Explanation:
724 ÷ 25 x 31.05 + 101 = ?
? ? = 725 ÷ 25 x 31 + 101
= 29 x 31+ 101
= 899 + 101 = 1000
Correct Answer: 1400 m
Explanation:
Speed of train in m/sec = (speed of train in km/hr) x 5/18
? speed of train in m/sec = 54 x 5/18 = 15 m/sec
Time taken to cross the tunnel = 2 minutes = 120 sec
Therefore, Total length covered by train in crossing the tunnel = Speed of train x Time taken to cross the tunnel
= 15 m/sec x 120 sec = 1800 m
Now, we know that
Total length covered by train in crossing the tunnel = Length of train + Length of tunnel
Given, Length of train =400m and
Calculated above, Length covered by train in crossing the tunnel = 1800 m
Therefore, Length of tunnel = 1800m- 400m = 1400m
Correct Answer: 10 gms
Explanation:
If the two alloys are mixed, the mixture would contain 15 gms of each metal and it would cost Rs. (150 + 120) = Rs. 270.
Cost of (15 gms of metal A + 15 gms of metal B) = Rs. 270
Cost of (1 gm of metal A + 1 gm of metal B) = Rs. (270 / 15) = Rs. 18
Cost of 1 gm of metal B = Rs. (18 ? 6) = Rs. 12
Average cost of original piece of alloy = (150 / 15) = Rs. 10 per gm.
Quantity of metal / A Quantity of metal B = (2 / 4) = (1 / 2)
Quantity of metal B = 2 (1 + 2) × 15 = 10 gms.
Correct Answer: 7.2
Explanation:
| Speed = | ❨ | 600 | ❩m/sec. |
| 5 x 60 |
= 2 m/sec.
Converting m/sec to km/hr (see important formulas section)
| = | ❨ | 2 x | 18 | ❩ | km/hr |
| 5 |
= 7.2 km/hr.
Correct Answer: 56 m
Explanation:
According to the question, A : B = 200 : 150
and B : C = 200 : 192
? A : C = (A/B) x (B/C) = (200/150) x (200/192) = 200/144
So, A beats C by (200 - 177) = 56 m
Correct Answer: 3400
Explanation:
26.823 x 27.923 x 4.5001
? 27 x 28 x 4.5000 = 756 x 4.5000 = 3402 ? 3400
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