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- Question
An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.
Options- A. 5/204
- B. 1/204
- C. 13/204
- D. None of these
- Correct Answer
- 1/204
ExplanationLet A, B, C be the events of getting a white ball in first, second and third draw respectively, then
Required probability =
=
Now, P(A) = Probability of drawing a white ball in first draw = 4/18 = 2/9
When a white ball is drawn in the first draw there are 17 balls left in the urn, out of which 3 are white
Since the ball drawn is not replaced, therefore after drawing a white ball in the second draw there are 16 balls left in the urn, out of which 2 are white.
Hence the required probability =
- 1. A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
Options- A. 20 days
- B.
22 1 days 2 - C. 25 days
- D. 30 days Discuss
- 2. A car reached Raipur from Somgarh in 35 min With an average speed of 69 km/h. If the average speed is increased by 36 km/h, how much time will it take to cover the same distance?
Options- A. 24 min
- B. 27 min
- C. 23 min
- D. 29 min Discuss
- 3. 2000 sodiers in a fort had enough food for 20 days. But some soldiers were transferred to another fort and the food lasted for 25 days. How many soldiers were transferred?
Options- A. 400
- B. 450
- C. 525
- D. 500 Discuss
- 4. What is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case?
Options- A. 30
- B. 31
- C. 32
- D. 35 Discuss
- 5. The product of two number is 7168 and their H.C.F. is 16. find the sum of all possible numbers?
Options- A. 640
- B. 860
- C. 460
- D. Data inadequate Discuss
- 6. In a race of 800 meter, A can beat B by 40 meter. In a race of 500 meter, B can beat C by 5 meter. In a race of 200 meter, A will beat C by
Options- A. 12.7 m
- B. 11.9 m
- C. 1.27 m
- D. 1.19 m Discuss
- 7. Amitabh, Brijesh and Kamlesh enter a partnership with shares in the ratio of 7/2 : 4/3 : 6/5. After 4 months, Amitabh increases his share by 50% If the total profit at the end of the year be ? 21600, what will be the share of Brijesh in the profit?
Options- A. ? 8000
- B. ? 12000
- C. ? 4000
- D. ? 7000 Discuss
- 8. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Options- A. 1800
- B. 1600
- C. 2500
- D. 1700 Discuss
- 9. A sum of Rs. 2540 is lent out into two parts. One at 12% and another one at 12 1/ 2 %. If the total annual income is Rs. 311.60, the money lent at 12% is?
Options- A. Rs. 1180
- B. Rs. 1360
- C. Rs. 1240
- D. Rs. 1340 Discuss
- 10. The present worth of a certain bill due sometime hence is Rs. 1600 and true discount on the bill is Rs. 160. Find the banker's discount and the extra gain the gain banker would make in the transaction?
Options- A. Rs. 176, Rs. 18
- B. Rs. 186, Rs. 16
- C. Rs. 176, Rs. 16
- D. None of these Discuss
More questions
Correct Answer:
| 22 | 1 | days |
| 2 |
Explanation:
The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
| If difference of time is 60 days, B takes | ❨ | 3 | x 60 | ❩ | = 90 days. |
| 2 |
So, A takes 30 days to do the work.
| A's 1 day's work = | 1 |
| 30 |
| B's 1 day's work = | 1 |
| 90 |
| (A + B)'s 1 day's work = | ❨ | 1 | + | 1 | ❩ | = | 4 | = | 2 |
| 30 | 90 | 90 | 45 |
| ∴ A and B together can do the work in | 45 | = 22 | 1 | days. |
| 2 | 2 |
Correct Answer: 23 min
Explanation:
Distance between Raipur and Somgarh
= Average speed x Time
= 69 x 35/60= 161/4 km
New speed = (69 + 36) km/h = 105 km/h
? Time = Distance/ Speed = 161/4 x 105 h
= 161 x 60/4 x 105min = 23 min
Correct Answer: 400
Explanation:
Let the number of soldiers transferred be N
Now, the food would last for 25 days for (2000 - N) soldiers.
Less men, More days (indirect proportion)
25 : 20 : : 2000 : (2000 - N)
? 2000 - N = (2000 x 20)/25
? 2000 - N = 1600
? N = 2000 - 1600 = 400
Correct Answer: 32
Explanation:
The required greatest number is the HCF of (263 - 7, 935 - 7, 1383 - 7)
i.e., HCF of 256, 928 and 1376 = 32
Correct Answer: 640
Explanation:
Let the number be 16a and 16b, where a and be are two number prime to each other.
? 16a x 16b = 7168
? ab = 28
Now, the pairs of number whose products is 28, are (28, 1) : (14, 2), (7,4)
14 and 2 which are not prime to each other should be rejected.
Hence, the required answer
= (448 + 16) + (112 + 64) = 640
Correct Answer: 11.9 m
Explanation:
In a 800 meter race, A covers 800 meter while B cover 760 meter.
? A covers 200 m while B will cover 760 x 200 / 800 = 190 m
Again, B covers 500 m while C 495 m
? B covers 190 m while C will cover = 495 x 190 / 500 = 188.10 m
Since, A covers 200 m while C 188.10 m
Hence, A will beat C by (200 ? 188.10) = 11.9 m
Correct Answer: ? 4000
Explanation:
Given. ratio = 7/2 : 4/3 : 6/5
= (7/2) x 30 : (4/3) x 30 : (6/5) x 30
= 105 : 40 : 36
Let investment of Amitabh = 105k
Investment of Kamlesh = 36k
Ratio of their investments
= [105k x 4 + 150% x8 of 105k] : (40k x 12) : (36k x 12)
= (420k + (150/100) x 105k x 8) : (480k) : (432k)
= (1680k) : (480k) : (432k)
= 35 : 10 : 9
? Brijesh's share
= (21600 x 10) / (35 + 10 + 9)
= (21600 x 10) / 54
= ? 4000
Correct Answer: 1800
Explanation:
As per given question,
In 1 minute, 6 identical machines can produce a total of 270 bottles.
In 1 minute, 1 identical machines can produce a total of 270 / 6 bottles.
In 1 minute, 10 identical machines can produce a total of 270 x 10 / 6 bottles.
In 4 minute, 10 identical machines can produce a total of 270 x 10 x 4 / 6 bottles.
In 4 minute, 10 identical machines can produce a total of 45 x 10 x 4 bottles.
In 4 minute, 10 identical machines can produce a total of 1800 bottles.
Correct Answer: Rs. 1180
Explanation:
Let money lent at 12% Rs. P
Then, money lent at 121/2% = Rs. (2540 - P )
? (P x 12 x 1)/100 + {(2540 - P) x 25/2 x 1}/100 = 311.60
? 3P/25 + 2540 - P/8 = 311.60
? 24P + 25(2540 - P) = 200 x 311.60
? P = 63500 - 62320 = 1180
Correct Answer: Rs. 176, Rs. 16
Explanation:
160 = ?1600 x B.G.
? B.G. = (160 x 160)/1600 = Rs. 16
? Banker's discount = 160 + 16 = Rs. 176
[? B.D. = T.D. + B.G.]
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