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- Bank PO Maths Quiz 2
- Bank PO Maths Quiz 1

Important for :

1

Four friends, Ram, Ghanshyam, Ravi, and Sham have taken up a typing project. The typing speed of Ram is 40% more the typing speed of Ghanshyam and the typing speed of Ravi is 37.5% less than the typing speed of Sham. The ratio between the typing speed of Ghanshyam and Ravi is 1 : 2. All of four works one by one each day in rotation, starting with Ghanshyam followed by Ram, Sham and Ravi respectively then they can complete the project in 173 days. **[S.1 Q.1]**

B

The number of days taken by Ghanshyam alone= | 1639a | = | 1639 | days |

5a | 5 |

Number of days taken by Sham alone

= | 1639a | = | 1639 | days |

16 a | 16 |

Reqd. difference = | 1639 | days – | 1639 | days |

5 | 16 |

= 1639 × | 11 | = 225.3625 = approximately 225 days |

80 |

Hence, option B is correct.

Let the typing speed of Ghanshyam = 5x then the typing speed of Ram = 140% of 5x = 7x

Let the typing speed of Sham = 8y then the typing speed of Ravi = 62.5% of 8y = 5y

Ghanshyam: Ravi= 1 : 2 = 5x : 5y, x : y = 1 : 2

Therefore, Ghanshyam: Ram : Sham : Ravi = 5x : 7x : 8y : 5y

= 5 × 1 : 7 × 1 : 8 × 2: 5 × 2 = 5 : 7 : 16 : 10

Let it be 5a, 7a, 16a, 10a = their efficiency = typing speed

Therefore, all of four works one by one each day in rotation, starting with Ghanshyam then the total units of work done by them in 4 days (one rotational shift) = 5a + 7a + 16a + 10a = 38a

According to the question, they take 173 days it means 43 rotational shifts + Ghanshyam’s 1-day work

Therefore, the total units of work done in 173 days = 43 × 38a + 5a = 1634a + 5a = 1639a

2

Four friends, Ram, Ghanshyam, Ravi, and Sham have taken up a typing project. The typing speed of Ram is 40% more the typing speed of Ghanshyam and the typing speed of Ravi is 37.5% less than the typing speed of Sham. The ratio between the typing speed of Ghanshyam and Ravi is 1 : 2. All of four works one by one each day in rotation, starting with Ghanshyam followed by Ram, Sham and Ravi respectively then they can complete the project in 173 days. **[S.1 Q.2]**

A

The total units of work = 1639aIf all of them work together every day then the total units of work done in one day = = 5a + 7a + 16a + 10a = 38a

The reqd. number of days = | 1639a | = | 1639 | = 43 | 5 | days |

38a | 38 | 38 |

Hence, option A is correct.

Let the typing speed of Ghanshyam = 5x then the typing speed of Ram = 140% of 5x = 7x

Let the typing speed of Sham = 8y then the typing speed of Ravi = 62.5% of 8y = 5y

Ghanshyam: Ravi= 1 : 2 = 5x : 5y, x : y = 1 : 2

Therefore, Ghanshyam: Ram : Sham : Ravi = 5x : 7x : 8y : 5y

= 5 × 1 : 7 × 1 : 8 × 2: 5 × 2 = 5 : 7 : 16 : 10

Let it be 5a, 7a, 16a, 10a = their efficiency = typing speed

Therefore, all of four works one by one each day in rotation, starting with Ghanshyam then the total units of work done by them in 4 days (one rotational shift) = 5a + 7a + 16a + 10a = 38a

According to the question, they take 173 days it means 43 rotational shifts + Ghanshyam’s 1-day work

Therefore, the total units of work done in 173 days = 43 × 38a + 5a = 1634a + 5a = 1639a

3

Four friends, Ram, Ghanshyam, Ravi, and Sham have taken up a typing project. The typing speed of Ram is 40% more the typing speed of Ghanshyam and the typing speed of Ravi is 37.5% less than the typing speed of Sham. The ratio between the typing speed of Ghanshyam and Ravi is 1 : 2. All of four works one by one each day in rotation, starting with Ghanshyam followed by Ram, Sham and Ravi respectively then they can complete the project in 173 days. **[S.1 Q.3]**

D

Ghanshyam: Ram: Sham: Ravi = 5x : 7x : 8y : 5y= 5 × 1 : 7 × 1 : 8 × 2 : 5 × 2 = 5 : 7 : 16 : 10

Let it be 5a, 7a, 16a, 10a = there efficiency = typing speed

When Ram work 5/7th of his efficiency then 5 × | 7a | = 5a, |

7 |

When Ghanshyam work 25% more than his original speed then the speed of Ghanshyam = 125% of 5a = 6.25a

Therefore, all of four works one by one each day in rotation, starting with Sham then the total units of work done by them in 4 days (one rotational shift) = 6.25a + 5a + 16a + 10a = 37.25a The total number of shifts to do 1639a units of work

= | 1639a | = 44 shifts = 44 × 4 = 176 days |

37.25a |

Hence, option D is correct.

Let the typing speed of Ghanshyam = 5x then the typing speed of Ram = 140% of 5x = 7x

Let the typing speed of Sham = 8y then the typing speed of Ravi = 62.5% of 8y = 5y

Ghanshyam: Ravi= 1: 2 = 5x: 5y, x: y = 1: 2

Therefore, Ghanshyam: Ram: Sham: Ravi = 5x: 7x: 8y: 5y

= 5 × 1 : 7 × 1 : 8 × 2: 5 × 2 = 5 : 7 : 16 : 10

Let it be 5a, 7a, 16a, 10a = their efficiency = typing speed

Therefore, all of four works one by one each day in rotation, starting with Ghanshyam then the total units of work done by them in 4 days (one rotational shift) = 5a + 7a + 16a + 10a = 38a

According to the question, they take 173 days it means 43 rotational shifts + Ghanshyam’s 1-day work

Therefore, the total units of work done in 173 days = 43 × 38a + 5a = 1634a + 5a = 1639a

4

According to the new plan rolled out by Axis bank, the rate of simple interest on a sum of money is x% per annum for the first 4 years, y% per annum for the next 8 years and 10% per annum for the beyond the first 12 years. Ram invests some amount of money then the simple interest received by Ram at the end of 25 years is Rs. 29800. Other person, Mohan’s investments sum is same as the Ram’s investments then the simple interest revived by Mohan at the end of 32 years is Rs. 36800. If Ram invests only for 3 years then the total SI received by his is Rs. 3600 and Mohan invest only for 5 years then the total SI received by him is Rs. 6300.** [S.2 Q.1]**

C

y = 15% per annumP = 10000

The total SI received @ 15% per annum SI in 32 years

= | 10000 × 32 × 15 | = Rs. 48000 |

100 |

the simple interest revived by Mohan at the end of 32 years is Rs. 36800

The required difference = 48000 – 36800 = 11200

Hence, option C is correct.

Let the investments of Ram = Rs. p then the investments of Mohan = p

According to the question,

the simple interest received by Ram at the end of 25 years is Rs. 29800

SI = | P × R × T |

100 |

29800 = p × 4 × x% + p × 8 × y% + p × 13 × 10% ----- (i)

the simple interest revived by Mohan at the end of 32 years is Rs. 91000

36800 = p × 4 × x% + p × 8 × y% + p × 20 × 10% ----- (ii)

Equation (ii) – equation (i)

70% of p = 7000

P = 10,000

Now, when Ram invest only for 3 years then

10,000 × 3 × x | = 3600 |

100 |

3x = 36

X = 12% per annum

If Mohan invests only for 5 years then the total SI received by him

10,000 × 4 × x% + 10000 × 1 × y% = 6300

10000 × 4 × 12% + 10000 × y% = 6300

By solving, y = 15%

5

According to the new plan rolled out by Axis bank, the rate of simple interest on a sum of money is x% per annum for the first 4 years, y% per annum for the next 8 years and 10% per annum for the beyond the first 12 years. Ram invests some amount of money then the simple interest received by Ram at the end of 25 years is Rs. 29800. Other person, Mohan’s investments sum is same as the Ram’s investments then the simple interest revived by Mohan at the end of 32 years is Rs. 36800. If Ram invests only for 3 years then the total SI received by his is Rs. 3600 and Mohan invest only for 5 years then the total SI received by him is Rs. 6300. **[S.2 Q.2]**

C

Let the total investments made by Sanju = Rs. q then

q + q × 4 × 12% + q × 8 × 15% + q × 38 × 10% = 14904

100q + 548q =14904 × 100

648q = 14904 × 100

By solving, q = 2300

Hence, option C is correct.

Let the investments of Ram = Rs. p then the investments of Mohan = p

According to the question,

the simple interest received by Ram at the end of 25 years is Rs. 29800

SI = | P × R × T |

100 |

29800 = p × 4 × x% + p × 8 × y% + p × 13 × 10% ----- (i)

the simple interest revived by Mohan at the end of 32 years is Rs. 91000

36800 = p × 4 × x% + p × 8 × y% + p × 20 × 10% ----- (ii)

Equation (ii) – equation (i)

70% of p = 7000

P = 10,000

Now, when Ram invest only for 3 years then

10,000 × 3 × x | = 3600 |

100 |

3x = 36

X = 12% per annum

If Mohan invests only for 5 years then the total SI received by him

10,000 × 4 × x% + 10000 × 1 × y% = 6300

10000 × 4 × 12% + 10000 × y% = 6300

By solving, y = 15%

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Average Question and answers for SBI PO Pre IBPS PO Pre 2019

Average Questions for SBI PO Pre Click Here

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Time and Work Questions and Answer for SBI PO Pre and IBPS PO Pre 2019

Time and Work Quiz Click Here

Probability Questions and Answer for SBI PO Pre 2019

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Time and Distance Questions and Answer for IBPS PO Pre and SBI PO Pre 2019

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Ration and Proportion Questions and Answer for SBI PO Pre 2019

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Permutation and Combination Questions and Answer for SBI PO Pre 2019

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