Maths Practice Question and Answer

Q:

If cos2α + cos2β = 2, then the value of tan3 α + sin5 β is :

3081 0

  • 1
    – 1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    $$ {1\over √3 } $$
    Correct
    Wrong
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Answer : 2. "0"

Q:

Three pipes A, B and C can fill a cistern in 10 hours, 12 hours and 15 hours respectively. First A was opened. After 2 hour, B was opened and after 4 hours from the start of A, C was also opened. Find the time in which the cistern is just full.

3080 0

  • 1
    2 hours
    Correct
    Wrong
  • 2
    4 hours
    Correct
    Wrong
  • 3
    2 hours 52 min
    Correct
    Wrong
  • 4
    5 hours 44 min.
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 4. "5 hours 44 min."

Q: A, B and C can complete a work in 10, 15 and 20 days respectively. A and B start it together. B is replaced by C after 2 days. A leave it after one more day. In how many days work was completed? 3079 0

  • 1
    13
    Correct
    Wrong
  • 2
    \(13 {1 \over 13 }\)
    Correct
    Wrong
  • 3
    \(18 {4 \over 3 }\)
    Correct
    Wrong
  • 4
    18
    Correct
    Wrong
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Answer : 2. " \(13 {1 \over 13 }\)"

Q:

The MRP of a watch is Rs.4750. The shop sells it at 12% discount. If the shopkeeper had purchased the watch for Rs. 3,850, what is his gain? 

3079 0

  • 1
    Rs.240
    Correct
    Wrong
  • 2
    Rs.570
    Correct
    Wrong
  • 3
    Rs.900
    Correct
    Wrong
  • 4
    Rs.330
    Correct
    Wrong
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Answer : 4. "Rs.330 "

Q:

Two places P and Q are 92 km apart. A train leaves P for Q and at the same time another train leaves Q for P. Both the trains meet 4 hrs after they start moving. If the train travelling from P to Q travels 7 km/hr faster than the other train, find the speed of the two trains.

3075 0

  • 1
    15 km/hr, 8 km/hr
    Correct
    Wrong
  • 2
    12 km/hr, 8 km/hr
    Correct
    Wrong
  • 3
    12 km/hr, 9 km/hr
    Correct
    Wrong
  • 4
    15 km/hr, 9 km/hr
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "15 km/hr, 8 km/hr"

Q: 26 men can complete a piece of work in 17 days. How many more men must be hired to complete the work in 13 days? 3069 1

  • 1
    9
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    18
    Correct
    Wrong
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Answer : 2. "8"

Q:

The coordinates of the incentre of the triangle whose sides are 3x – 4y = 0, 5x + 12y = 0 and y – 15 = 0, are

3068 0

  • 1
    (–1, 8)
    Correct
    Wrong
  • 2
    (1,8)
    Correct
    Wrong
  • 3
    (2, 8)
    Correct
    Wrong
  • 4
    (2, –8)
    Correct
    Wrong
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Answer : 1. "(–1, 8)"

Q:

A tank contains a mixture of 80 litre of milk and water. 70% of the milk and 30% of the water are drawn, therefore 55% part of the tank become empty. Find the initial quantity of milk and water in the tank.

3065 0

  • 1
    50 litre , 30 litre
    Correct
    Wrong
  • 2
    30 litre, 50 litre
    Correct
    Wrong
  • 3
    20 litre, 60 litre
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 1. "50 litre , 30 litre"

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