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- Question
A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:
Options- A. A gain of Rs. 27
- B. A loss of Rs. 37
- C. A loss of Rs. 27
- D. A gain of Rs. 37
- Correct Answer
- A loss of Rs. 37
ExplanationAs the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order).
The overall resultant will remain same.
So final amount with the person will be (in all cases):
= 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27
Hence the final result is:
64 ? 27 = 37
A loss of Rs.37
- 1. A Shopkeeper purchased some books from a publication worth ? 750. Because of some reasons, he had to sell two-fifth part of the book at a loss of 15%. On which gain he should sell his rest of the books, so that he gets neither nor loss
Options- A. 10%
- B. 9%
- C. 12%
- D. 15% Discuss
- 2. A 200 m long rain is running at a speed of 54 km/hr. On the parallel and a different track, another train 300 m long is running at a speed of 72 km/hr. Both the trains are running in the same direction. Find out how much will it take the train to cross each other?
Options- A. 90 sec
- B. 100 sec
- C. 120 sec
- D. 150 sec Discuss
- 3. Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Options- A. 5 : 7 : 8
- B. 20 : 49 : 64
- C. 38 : 28 : 21
- D. None of these Discuss
- 4. The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Options- A. 40%
- B. 42%
- C. 44%
- D. 46% Discuss
- 5. In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:
Options- A. 20 litres
- B. 30 litres
- C. 40 litres
- D. 60 litres Discuss
- 6. A certain number of men can do a piece of work in 80 days. If there were 10 men less, it could be finished in 20 days more. How many men are there in the starting?
Options- A. 45
- B. 50
- C. 40
- D. 60 Discuss
- 7. When a 192 meters long rod is cut down into small pieces of length 3.2 meters each. Then how many pieces are available?
Options- A. 52
- B. 68
- C. 62
- D. None of these Discuss
- 8. The amount instalment will discharge on debit of Rs 3220 due in 4 year at 10 % simple interest?
Options- A. 500
- B. 600
- C. 700
- D. None of these Discuss
- 9. The sum of the ages of a mother and a daughter is 50 years. Also, 5 years ago, the mother's age was 7 times of the age of her daughter. The present ages of the mother and the daughter respectively are?
Options- A. 35 years, 15 years
- B. 38 years, 12 years
- C. 40 years, 10 years
- D. 42 years, 8 years Discuss
- 10. Marks obtained by an student in 5 subjects are given below 25, 26, 27, 28, 29 in these obtained marks 27 is
Options- A. mode
- B. median and mode
- C. mean and median
- D. both (a) and (c) Discuss
More questions
Correct Answer: 10%
Explanation:
Here, A = 2/5, R = 15%
According to the formula
Gain % = AR/(1 - A)%
= [(2/5) x 15]/[1 - (2/5)]%
= (6 x 5)/3%
= 10%
Correct Answer: 100 sec
Explanation:
We know that, when the trains are moving in the same direction,
Relative speed= Difference between the speed of train
and total distance for crossing each other = Sum of the length of train
Therefore, Relative speed = 72 km/hr - 54 km /hr = 18 km/hr
Relative speed in m/sec = 18 km/hr x 5/18 = 5 m/sec
and Total distance = 200m + 300m = 500m
and Total time taken to cross each other = Total distance in meter/ Relative speed in m/sec
= 500 m / (5 m/sec) = 100 sec
Correct Answer: 20 : 49 : 64
Explanation:
Then, 14x : 8y : 7z = 5 : 7 : 8.
| Now, | 14x | = | 5 | ⟺ 98x = 40y ⟺ y = | 49 | x |
| 8y | 7 | 20 |
| And, | 14x | = | 5 | ⟺ 112x = 35z ⟺ z = | 112 | x = | 16 | x. |
| 7z | 8 | 35 | 5 |
| ∴ x : y : z = x : | 49 | x | : | 16 | x | = 20 : 49 : 64. |
| 20 | 5 |
Correct Answer: 44%
Explanation:
Original area = (xy) m2.
| New length = | ❨ | 120 | x | ❩m | = | ❨ | 6 | x | ❩m. |
| 100 | 5 |
| New breadth = | ❨ | 120 | y | ❩m | = | ❨ | 6 | y | ❩m. |
| 100 | 5 |
| New Area = | ❨ | 6 | x x | 6 | y | ❩m2 | = | ❨ | 36 | xy | ❩m2. |
| 5 | 5 | 25 |
The difference between the original area = xy and new-area 36/25 xy is
= (36/25)xy - xy
= xy(36/25 - 1)
= xy(11/25) or (11/25)xy
| ∴ Increase % = | ❨ | 11 | xy x | 1 | x 100 | ❩% | = 44%. |
| 25 | xy |
Correct Answer: 60 litres
Explanation:
| Quantity of milk = | ❨ | 60 x | 2 | ❩litres = 40 litres. |
| 3 |
Quantity of water in it = (60- 40) litres = 20 litres.
New ratio = 1 : 2
Let quantity of water to be added further be x litres.
| Then, milk : water = | ❨ | 40 | ❩ | . |
| 20 + x |
| Now, | ❨ | 40 | ❩ | = | 1 |
| 20 + x | 2 |
⟹ 20 + x = 80
⟹ x = 60.
∴ Quantity of water to be added = 60 litres.
Correct Answer: 50
Explanation:
Let the original number of men = N
Time taken by N = 80 days
Now, (N - 10) men can finish the work in the (80 + 20) = 100 days
Here, M1 = N, M2 = (N - 10), D1 = 80 and D2 = 100
According to the formula.
M1D1 = M2D2
? N x 80 = 100 x (N - 10)
? 8N = 10N - 100
? 10N - 8N = 100
? N = 50
Correct Answer: None of these
Explanation:
No. of pieces = Total length / Length of each piece
= 192/3.2
= 60
Correct Answer: 700
Explanation:
Let the amount instalment be Rs ' x '
Then According to question,
(Amount of 'x' for 3 yrs) + (Amount of 'x' for 2 yrs) + (Amount of 'x' for 1 yrs) + x =3220
or, [x+(x × 10 × 3)/100] + [x+(x × 10 × 2)/100] + [x+(x × 10 × 1)/100] + x=3220
? 4x+ (30x/100)+(20x/100)+(10x/100)=3220
? 460x=322000
? x=Rs 700
? Each Instalment= Rs 700
Correct Answer: 40 years, 10 years
Explanation:
Let the daughter's present be x years.
Then, mother's present age = (50 - x) years
Now, 7(x -5) = (50 - x - 5)
? x = 10
So, the present ages of mother and daughter are 40 years and 10 years respectively.
Correct Answer: mean and median
Explanation:
27 is in the middle, so is the median and its the mean too.
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