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- Question
A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?
Options- A. 180 km
- B. 160 km
- C. 140 km
- D. 120 km
- Correct Answer
- 180 km
ExplanationSpeed in downstream = (14 + 4) km/hr = 18 km/hr;
Speed in upstream = (14 ? 4) km/hr = 10 km/hr.
Let the distance between A and B be x km. Then,
x/18 + (x/2)/10 = 19 ? x/18 + x/20 = 19 ? x = 180 km.
- 1. A common factor of ( 41 43 + 43 43 ) and ( 41 41 + 43 41 ) is ...
Options- A. ( 43 - 41 )
- B. ( 4141 + 4341 )
- C. ( 4143 + 4343 )
- D. ( 43 + 41 ) Discuss
- 2. A person invested a certain amount at simple interest at the rate of 6 percent annum earning Rs. 900 as an interest at the end of three years. Had the interest been compounded every year. How much more interest would he have earned on the same amount with the same interest after three years?
Options- A. Rs. 38.13
- B. Rs. 25.33
- C. Rs. 55.08
- D. Rs. 35.30 Discuss
- 3. Let a = ?6 - ?5, b = ?5 - 2, c = 2 - ?3 Then point out the correct alternative among the four alternatives given below.
Options- A. a < b < c
- B. b < a < c
- C. a < c < b
- D. b < c < a; Discuss
- 4. On selling an article for Rs. 240, a trader loses 4%. In order to gain 10 % he must sell that article for
Options- A. Rs. 275
- B. Rs. 340
- C. Rs. 320
- D. Rs. 264 Discuss
- 5. If 2805 / 2.55 = 1100, then 280.5 / 25.5 is equal to?
Options- A. 1.01
- B. 1.1
- C. 0.11
- D. 11 Discuss
- 6. At present, Anil is 1.5 times of Purvi's age. 8 yr hence, the respective ratio between Anil and Purvi's ages will be 25 : 18 What is purvi's present age?
Options- A. 50 yr
- B. 28 yr
- C. 42 yr
- D. 36 yr Discuss
- 7. How much stock can be purchased for Rs. 794.50 at 112.5? (Brokerage 1% )
Options- A. Rs. 650
- B. Rs. 485
- C. Rs. 706
- D. Rs. 700 Discuss
- 8. A driver's income consists of his salary and tips. during one week his tips were 5/4 of his salary. what fraction of his income came from tips?
Options- A. 4/9
- B. 5/9
- C. 5/8
- D. 5/4 Discuss
- 9. Find out the investment required to get an income of $ 1938 from 91/2% stock at 90 (Brokerage 1%).
Options- A. $ 19642.60
- B. $ 17543.00
- C. $ 18543.60
- D. $ 18600.60 Discuss
- 10. Nine engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal is required for 8 engines, each running 13 hours a day, if 3 engines of former type consume as much as 4 engines of latter type?
Options- A. 20 metric tonnes
- B. 39 metric tonnes
- C. 23 metric tonnes
- D. 26 metric tonnes Discuss
More questions
Correct Answer: ( 43 + 41 )
Explanation:
We know that when m is a odd number ( xm + am ) is divisible by ( x + a ).
? Each one is divisible by (41 + 43).
So Common factor = (41 + 43).
Correct Answer: Rs. 55.08
Explanation:
Certain sum for the person = (900 x 100)/(6 x 3) =Rs. 5000
? Interest on Rs. 5000 by C.I. = 5000(1 +6/100)3 - 5000 = Rs. 955.08
? More interest =Rs. (955.08 - 900) = Rs. 55.08
Correct Answer: a < b < c
Explanation:
We know that , ?6 = 2.44, ?5 = 2.23, ?3 = 1.73
a = ?6 - ?5 = 2.44 - 2.23 = 0.21
b = ?5 - 2 = 2.23 - 2 = 0.23
c = 2 - ?3 = 2 - 1.73 = 0.27
Correct Answer: Rs. 275
Explanation:
Let the CP be Rs. x , then SP be 0.96x
? 0.96x = 240
? x = 250
Now the new SP = 250 X 1.1 = 275
Correct Answer: 11
Explanation:
Given expression 280.5 / 25.5 = 2805 / 255
= 2805 / (2.55 x 100)
= 1100 / 100
=11
Correct Answer: 28 yr
Explanation:
Let age of Purvi = N yr
Then, age of Anil = 1.5N yr
According to the question,
(1.5N + 8)/(N + 8) = 25/18
? 27N + 144 = 25N + 200
? N = 56/2 = 28
Hence, present age of Purvi = 28 yr
Correct Answer: Rs. 700
Explanation:
Rs. 794.50 = 112.5 + (1/100) x Amount of stock
? Amount of stock = (794.50 x 100) / 113.5 = Rs. 700
Correct Answer: 5/9
Explanation:
Let us assume the salary of driver be ? R
Then Tips of week = R x 5/4
According to question,
his income during one week = Salary + Tips
? Total Income during one week = R + (5R/4)
? Total Income during one week = (4R + 5R)/4 = 9R/4
Required Fraction = Tips in a week/Total Income in a week
? Required Fraction = 5R/4 / 9R/4
? Required Fraction = 5R/4 x 4/9R
? Required Fraction = 5/9
Correct Answer: $ 18543.60
Explanation:
Correct Answer: 26 metric tonnes
Explanation:
Let required amount of coal be y metric tonnes
9 engines consumes 24 metric tonnes of coal in 8 hours a day.
More engines, more amount of coal (direct proportion)
If 3 engines of first type consume 1 unit, then 1 engine will consume 1/3 unit which is its the rate of consumption.
If 4 engines of second type consume 1 unit, then 1 engine will consume 1/4 unit which is its the rate of consumption
More rate of consumption, more amount of coal (direct proportion)
More hours, more amount of coal(direct proportion)
Now we have , 9 × ( 1 / 3 ) × 8 × y = 8 × ( 1 / 4 ) × 13 × 24
? 3 × 8 × y = 8 × 6 × 13
? 3 × y = 6 × 13 ? y = 2 x 13 = 26 metric tonnes
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