Important for :

1

B

Let the speed of express train = 4x km per hourThe speed of passenger train = 75% of 4x = 3x km per hour

4 hours after the passenger train start from a station, the express train start from the same station

The distance between the passenger train and express train = 3x × 4 = 12x km

The relative speed of passenger train and express train = 4x – 3x = x km per hour

The time taken by the express train to completely cross the passenger train

= | 12x | = 12 hours |

x |

Hence, option B is correct.

2

C

Let the capacity of the water tank = lcm of 4 and 8 = 16 unitsThe efficiency of pipe P = | 16 | = 4 units per hour |

4 |

The efficiency of pipe q = | 16 | = 2 units per hour |

8 |

In the first 2 hours, the units of water filled = 4 × 2 = 8 units

In the next 2 hours, the units of water withdraws = 2 × 2 = 4 units

It means, in one cycle i.e. 4 hours, the total quantity of water filled = 4 units

In the next cycle, the total quantity of water will be filled = 4 × 2 = 8 units

The remaining quantity = 16 – 8 = 8 units

In the next 2 hours, pipe P can fill 8 units of water

Therefore, the total time = 8 + 2 = 10 hours

Hence, option C is correct.

3

C

Let the sum of money = Rs. xDouble the sum of money = 2x

The amount received at the end of 5 years = 7x

The total interest = 7x – 2x = 5x

We know that, SI = | P × R × T |

100 |

5x = | 2x × R × 5 |

100 |

By solving, R = 50%

The SI at the end of 2 years on Rs. x @ 50% per annum

= | x × 50 × 2 | = Rs. x |

100 |

The CI at the end of 2 years on Rs. x @ 50% per annum

= x × | ( | 1 + | 50 | ) |
^{2} |
– x = | 5 | = 1.25x |

100 | 4x |

According to the question,

1.25x – x = Rs. 500

0.25x = 500

x = 2000

Hence, option C is correct.

4

D

According to the question,5 | + | 15 – 6 | + | 15 – 6 | = 1 |

20 | 20 | mohan |

9 | = 1 – | 14 | = | 6 |

mohan | 20 | 20 |

The number of days, Mohan will take alone

= | 9 × 20 | = 30 days |

6 |

The number of days Ram and Mohan together will take to complete the same piece of work

= | 1 | + | 1 | = | 50 | = 12 days |

20 | 30 | 600 |

Therefore, the number of days they will take to complete double of the work = 12 × 2 = 24 days

Hence, option D is correct.

5

C

The marked price of the article = (100 + 2x)% of 400 = (100 + 2x) × 4The SP = (100 + 2x) × 4 × | 100 – x | = (100 + 2x) × 4 × | ( | 1 – | x | ) |

100 | 100 |

According to the question,

(100 + 2x) × 4 × | ( | 1 – | x | ) | – 400 = 48 |

100 |

(100 + 2x) × 4 × | ( | 1 – | x | ) | = 448 |

100 |

(100 + 2x)(100 – x) = 11200

By solving, x = 20

Therefore, the marked price = (100 + 2x) × 4 = 140 × 4 = 560

The profit = 560 – 400 = 160

The required answer = 160 – 48 = 112

Hence, option C is correct.

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Here are some important examples regarding

10

12

15

8

None of these

Let the speed of express train = 4x km per hour

The speed of passenger train = 75% of 4x = 3x km per hour

4 hours after the passenger train start from a station, the express train start from the same station

The distance between the passenger train and express train = 3x × 4 = 12x km

The relative speed of passenger train and express train = 4x – 3x = x km per hour

The time taken by the express train to completely cross the passenger train

= 12x/x = 12 hours

Hence, option B is correct.

6 hours

5 hours

10 hours

12 hours

None of these

The efficiency of pipe P = 16/4 = 4 units per hour

The efficiency of pipe q = 16/8 = 2 units per hour

In the first 2 hours, the units of water filled = 4 × 2 = 8 units

In the next 2 hours, the units of water withdraws = 2 × 2 = 4 units

It means, in one cycle i.e. 4 hours, the total quantity of water filled = 4 units

In the next cycle, the total quantity of water will be filled = 4 × 2 = 8 units

The remaining quantity = 16 – 8 = 8 units

In the next 2 hours, pipe P can fill 8 units of water

Therefore, the total time = 8 + 2 = 10 hours

Hence, option C is correct..

Rs. 40000

Rs. 20000

Rs. 2000

Rs. 10000

None of these

Let the sum of money = Rs. x

Double the sum of money = 2x

The amount received at the end of 5 years = 7x

The total interest = 7x – 2x = 5x

We know that, SI = P × R × T/100

5x = 2x × R × 5/100

By solving, R = 50%

The SI at the end of 2 years on Rs. x @ 50% per annum

= x × 50 × 2/100 = Rs. x

The CI at the end of 2 years on Rs. x @ 50% per annum

= x × (1 + 50/100)^{2} – x = 5/4x = 1.25x

According to the question,

1.25x – x = Rs. 500

0.25x = 500

x = 2000

Hence, option C is correct.

All the above questions through, you must make sure about arithmetic miscellaneous questions which have been seen in the last few years. We hope this above

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Team Smartkeeda