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- Question
- In a mixture of 45 liters, the ratio of milk and water is 4:1. How much water must be added to make the mixture ratio 3:2?
Options- A. 72 litres
- B. 24lLitres
- C. 15 litres
- D. 1.5 litres
- Correct Answer
- 15 litres
ExplanationLet us assume the ratio factor is x.
According to question,
Quantity of milk = 4x liters and Quantity of Water = x liters.
According to question,
4x + x = 45
? 5x = 45
? x = 9
Quantity of milk = 4x = 9 x 4 = 36 liters
Quantity of water = x = 9 liters
Let y liters of water be added to make the ratio 3:2
Then,
36/(9 + y) = 3/2
? 72 = 27 + 3y
? y = 15 liters
If you add 15 liters of water, the ratio will become 3:2. - 1. In a 100 meter race, A runs at 5Km/h. A gives B a start of 8 meter and still beats him by 8 sec. Find out the speed of B.
Options- A. 6.14 Km/h
- B. 4.14 Km/h
- C. 3.14 Km/h
- D. 2.14 Km/h Discuss
- 2. A train 540 m long is running with a speed of 72 km/hr. In what time it pass a tunnel 160 m long?
Options- A. 40 sec
- B. 30 sec
- C. 35 sec
- D. 42 sec Discuss
- 3. A room 5.44 m x 3.75 m is to be paved with square tiles. the least number of tiles required to cover the floor is?
Options- A. 162
- B. 176
- C. 184
- D. 192 Discuss
- 4. A train runs with a speed of 200 km/hour. What will be its speed in m/sec?
Options- A. 50 m/sec
- B. 55.55 m/sec
- C. 48 m/sec
- D. 66.66 m/sec Discuss
- 5. 3, 5, 11, 14, 17, 21
Options- A. 21
- B. 17
- C. 14
- D. 3 Discuss
- 6. If a clock strikes 6 times in five seconds, the number of strikes in 10 seconds is:
Options- A. 10
- B. 11
- C. 9
- D. 8 Discuss
- 7. The ratio of pens and pencil in a stationary shop is 3 : 2, respectively, The average number of pens and pencils is 180. What is the 30% of number of pencils in the shop?
Options- A. 150
- B. 144
- C. 245
- D. 115 Discuss
- 8. The average age of a man and his two twin sons born on the same day is 30 yr. The ratio of the ages of father and one son is 5 : 2, What is the father's age?
Options- A. 50 yr
- B. 30 yr
- C. 45 yr
- D. 20 yr Discuss
- 9. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
Options- A. 8 days
- B. 10 days
- C. 12 days
- D. 15 days Discuss
- 10. The average of 11 numbers is 36. Out of these 11 numbers, the average of 9 numbers is 34. If the ratio of remaining two numbers is 2 : 3, find out the smaller number.
Options- A. 18
- B. 36
- C. 54
- D. 48 Discuss
More questions
Correct Answer: 4.14 Km/h
Explanation:
Time taken by A to cover 100 meters
= 100 ÷ (5 * 5 / 18) = 72 seconds.
? B covers (100 - 8) or, 92 meters in (72 + 8) or, 80 seconds.
? Speed of B = ( 92 / 80 ) * ( 16 / 5 ) = 4.14 Km/h.
Correct Answer: 35 sec
Explanation:
? Speed of the train = 72 km/hr = 72 x (5/18) = 20 m/sec.
Sum of the length of the train and tunnel = 540 + 160 = 700 metres.
? Required time taken to pass the tunnel = Time taken to cover 700 metres at 20 m/sec.
= 700/20
= 35 sec.
Correct Answer: 176
Explanation:
Area of the room =(544 x 374) cm2
size of largest square tile = H.C.F. of 544 & 374
= 34 cm
Area of 1 tile = (34 x 34) cm2
? Least number of tiles required
= (544 x 374) / (34 x 34) = 176
Correct Answer: 55.55 m/sec
Explanation:
Speed in km/ hour =200
Speed in m/sec = 200 x 5/18 = 500/9 m/sec = 55.55 m/sec
Correct Answer: 14
Explanation:
The number '14' is the only EVEN number.
Correct Answer: 11
Explanation:
Correct Answer:
Explanation:
The average number of pens and pencils = 180
? Totol number of pens and pencils = 180 x 2 = 360
? Total number of pencils in the shop = 360 x (2/5) = 144
? 30% of 144 = (30/100) x 144 = 43.2 = 43
= 43 (approx)
Correct Answer: 50 yr
Explanation:
According to the question,
Average age of man and his twin sons = 30
? Total age = 30 x 3 = 90 yr.
According to the question,
Ratio of father and one son = 5 : 2
? Ratio of father and both the sons = 5 : 2 : 2
(As sons are born on the same day.)
? 5k + 2k + 2k = 90 or 9k = 90
? k = 10
? Age of father = 5 x 10 = 50 yr.
Correct Answer: 12 days
Explanation:
| (A + B)'s 1 day's work = | ❨ | 1 | + | 1 | ❩ | = | 1 | . |
| 15 | 10 | 6 |
| Work done by A and B in 2 days = | ❨ | 1 | x 2 | ❩ | = | 1 | . |
| 6 | 3 |
| Remaining work = | ❨ | 1 - | 1 | ❩ | = | 2 | . |
| 3 | 3 |
| Now, | 1 | work is done by A in 1 day. |
| 15 |
| ∴ | 2 | work will be done by a in | ❨ | 15 x | 2 | ❩ | = 10 days. |
| 3 | 3 |
Hence, the total time taken = (10 + 2) = 12 days.
Correct Answer: 36
Explanation:
Sum of 11 numbers = 36 x 11 = 396
Sum of 9 numbers = 34 x 9 = 306
Sum of remaining two numbers =396 - 306 = 90
? The smaller number = (2 x 90)/(2 + 3) = 180/5 = 36
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