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- Question
If 2x+2x=3, then the value of x3+1x3+2 is
Options- A. 3/4
- B. 4/5
- C. 5/8
- D. 7/8
- Correct Answer
- 7/8
- 1. In a 500 m race, the ratio of speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
Options- A. 60 m
- B. 40 m
- C. 20 m
- D. 10 m Discuss
- 2. A cistern can be filled up in 4 h by an inlet A. An outlet B can empty the cistern in 8 h. If both A and B are opened simultaneously, then after how much time will the cistern get filled?
Options- A. 5 h
- B. 7 h
- C. 8 h
- D. 6 h Discuss
- 3. A pipe can empty a tank in 12 minutes and another pipe can empty it in 16 minutes. If both the pipes are opened simultaneously, find the time in which a full tank is emptied?
Options- A. 6 minutes
- B. 61/7 minutes
- C. 62/7 minutes
- D. None of these Discuss
- 4. A tank has a leak which would empty it in 8 h. A tap is turned on which admits 3 L a min into the tank and it is now emptied in 12 h. How many litres does the tank hold?
Options- A. 4320 L
- B. 4000 L
- C. 2250 L
- D. 4120 L Discuss
- 5. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2⅓ hours to fill the tank. The leak can drain all the water of the tank in:
Options- A.
4 1 hours 3 - B. 7 hours
- C. 8 hours
- D. 14 hours Discuss
- 6. Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
Options- A. Rs. 692.80
- B. Rs. 820
- C. Rs. 990
- D. Rs. 1385 Discuss
- 7. Find the cost of carpeting a room 8 m long and 6 m broad with a carpet 75 cm wide at ? 20 per m.
Options- A. ? 1300
- B. ? 1500
- C. ? 1750
- D. ? 1280 Discuss
- 8. A, B and C invested capitals in the ratio of 4 : 6 : 9. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. Find the ratio of their time for which they contributed their capitals.
Options- A. 1 : 1 : 9
- B. 2 : 2 : 9
- C. 10 : 10 : 9
- D. 9 : 9 : 10 Discuss
- 9. 15 men complete a work in 16 days If 24 men are employed then the time require to complete that work will be
Options- A. 7 days
- B. 8 days
- C. 10 days
- D. 12 days Discuss
- 10. L?M is surd of order ........, where M is a rational number; L is a positive integer and L?M is irrational.
Options- A. L
- B. M
- C. 2
- D. 4 Discuss
More questions
Correct Answer: 20 m
Explanation:
To reach the winning post, A will have to cover a distance of (500 - 140). i.e, 360 m.
While A covers 3 m, B covers 4 m.
While A covers 360 m, B covers 4 × 360 / 3 = 480 m.
So, A reaches the winning post while B remains 20 meter behind.
? A wins by 20 m.
Correct Answer: 8 h
Explanation:
Part filled by A in 1 h = 1/4
Part emptied by B in 1 h = 1/8
Part filled by (A + B) In 1 h = 1/4+ ( -1/8 ) = 1/4 - 1/8 = (2 - 1)/8 = 1/8
? Required time to fill the cistern = 8
Correct Answer: None of these
Explanation:
Required answer = (12 x 16) /(12 + 16) = 48 / 7 = 66/7 minutes.
Correct Answer: 4320 L
Explanation:
Work done by the inlet in 1 h = (1/8 - 1/24) = 1/24
Work done by the inlet in 1 min = 1/24 x 1/60 = 1/1440
? Volume of 1/1440 part = 3 L
? Volume of the whole = 3 x 1440 = 4320 L
Correct Answer: 14 hours
Explanation:
| Work done by the leak in 1 hour = | ❨ | 1 | - | 3 | ❩ | = | 1 | . |
| 2 | 7 | 14 |
∴ Leak will empty the tank in 14 hrs.
Correct Answer: Rs. 990
Explanation:
Income of the deceased = Total income of 4 members - total income of remaining 3 members.
= 735 x 4 - 650 x 3 Rs.
= 990 Rs.
Correct Answer: ? 1280
Explanation:
Area of the carpet = Area of the room
= 8 x 6 = 48 sq m
Width of the carpet = 75/100 = 3/4 m
Length of the carpet = 48 x (4/3)
= 16 x 4 = 64 m
? Cost of carpeting = 64 x 20 = ? 1280
Correct Answer: 9 : 9 : 10
Explanation:
Here, P1 : P2 : P3 = 2 : 3 : 5 [profit's ratio]
and x1 : x2 : x3 = 4 : 6 : 9 [investment's ratio]
According to the rule,
Required ratio = P1/x1 : P2/x2 : P3/x3
= 2/4 : 3/6 : 5/9
= 1/2 : 1/2 : 5/9 = 9 : 9 : 10
Correct Answer: 10 days
Explanation:
let the work done be 1 work.
Here M1=15, D1=16 W1=W2 =1
M2 =24 D2= ?
? According to the formula
M1 D1 W2 = M2 D2 W1
? 15 x 16 x 1 = 24 x D2 X 1
? D1 = 15 X 16/24 = 10
Therefore 10 days are required to complete the work
Correct Answer: L
Explanation:
L?3 = M1/L = Surd of Lth order.
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