Dear Readers, Bank Exam Race for theÂ Year 2018 is already started, ToÂ **enrich**Â your preparation here we have providing new series of Practice Questions onÂ Quantitative Aptitude – Section. Candidates those who are preparing forÂ **IBPS PO Mains 2018** Exams can practice these questions daily and make your preparation effective.

**Directions (Q. 1 – 5): Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.**

**1) **

**Quantity I: **The length of the rectangle is thrice the side of a square whose area is 324 Sq. m. The breadth of the rectangle is 10 m less than the length of the rectangle. Find the area of rectangle?

**Quantity II: **The perimeter of a rectangle is 212 m. The difference between the length and breadth of the rectangle is 18 m. Find the area of a rectangle?

a) Quantity I > Quantity II

b) Quantity I â‰¥ Quantity II

c) Quantity II > Quantity I

d) Quantity II â‰¥ Quantity I

e) Quantity I = Quantity II or Relation cannot be established

**2) **

**Quantity I: **The ratio between the downstream and upstream speed of the boat is 4 : 3. The boat travels 64 km downstream in 8 hours. Find the speed of the boat in still water

**Quantity II: **The boat travels 72 km downstream in 8 hours. The speed of the stream is 3 km/hr. Find the speed of the boat in still water?

a) Quantity I > Quantity II

b) Quantity I â‰¥ Quantity II

c) Quantity II > Quantity I

d) Quantity II â‰¥ Quantity I

e) Quantity I = Quantity II or Relation cannot be established

**3) **

**Quantity I: **Two trains are moving in opposite directions at 40 km/hr and 60 km/hr. Train lengths are 250 m and 200 m respectively. The time taken by the slower train to cross the faster train is?

**Quantity II: **The length of Mumbai express is 170 m and that of Sathapthi express is 180 m. These two trains are running in the same direction with the velocities of 60 km/hr and 80 km/hr respectively. The time taken by them to cross each other is?

a) Quantity I > Quantity II

b) Quantity I â‰¥ Quantity II

c) Quantity II > Quantity I

d) Quantity II â‰¥ Quantity I

e) Quantity I = Quantity II or Relation cannot be established

**4) **

**Quantity I: **The present age of Anitha is 15 years more the present age of Rahul. After 10 years the ratio of ages of Rahul and Anitha will be 7 : 10, then find the age of Anitha, after 4 years?

**Quantity II:** The present age of Naveen is thrice the present age of Priyanka. The ratio between the present ages of Gourav and Priyanka is 5 : 3. If the age of Gourav after 6 years will be 21 years, then find the sum of the present age of Naveen, Priyanka and Gourav?

a) Quantity I > Quantity II

b) Quantity I â‰¥ Quantity II

c) Quantity II > Quantity I

d) Quantity II â‰¥ Quantity I

e) Quantity I = Quantity II or Relation cannot be established

**5) A person invested a sum of Rs. 35600 in two schemes A and B which offers interest at the rate of 18% and 12 % respectively. If the total interest received from these schemes after one year is Rs. 5340 then,**

**Quantity I:** Sum of money invested in scheme A?

**Quantity II:** Sum of money invested in scheme B?

a) Quantity I > Quantity II

b) Quantity I â‰¥ Quantity II

c) Quantity II > Quantity I

d) Quantity II â‰¥ Quantity I

e) Quantity I = Quantity II or Relation cannot be established

**Directions (Q. 6 â€“ 10) Study the following information carefully and answer the given questions.**

The following table shows the number of 4 different color balls in 6 different bags.

**6) If 3 balls are taken out randomly from bag A, then find the probability of getting at least one pink ball from bag A?**

a) 247/425

b) 78/217

c) 199/364

d) 123/289

e) None of these

**7) If 4 balls are taken out randomly from bag C, then find the probability of getting different color balls from bag C?**

a) 12/91

b) 45/77

c) 33/125

d) 127/245

e) None of these

**8) If 4 balls are taken out randomly from bag D, then find the probability of getting 2 pink balls from bag D?**

a) 56/121

b) 123/285

c) 92/157

d) 70/323

e) None of these

**9) Find the ratio between the total number of balls in bag B to that of bag E?**

a) 5: 6

b) 4: 3

c) 7: 8

d) 5: 4

e) None of these

**10) Total number of pink balls in all the bags together is what percentage of total number of yellow balls in all the bags together?**

a) 120 %

b) 80 %

c) 150 %

d) 100 %

e) 90 %

**Answers:**

**Directions (1-5):**

**1) Answer: c)**

**Quantity I:**

Area of the square = a^{2} = 324

Side of the square (a) = 18m

Length of the rectangle = 54m

Breadth= 44m

Area of the rectangle = 54*44= 2376 Sq. m

**Quantity II:**

The perimeter of a rectangle = 212 m

2(l + b) = 212

l + b = 106 —> (1)

l â€“ b = 18 —> (2)

By solving the equation (1) and (2), we get,

Length = 62 m, Breadth = 44 m

Area of the rectangle = 62*44 = 2728 Sq. m

**Quantity I < Quantity II**

**2)Â ****Answer: a)**

**Quantity I:**

Downstream speed= 64/8 = 8 km/hr

Upstream speed= 8*(3/4) = 6 km/hr

Speed of boat in still water = Â½ *(8+6) = 7 km/hr

**Quantity II:**

Downstream speed= 72/8= 9 km/hr

Downstream speed = Speed of boat in still water + speed of stream

Let the speed of boat be x

=> x + 3 = 9

=> x= 6 km/hr

Speed of boat in still water = 6 km/hr

**Quantity I > Quantity II**

**3) Answer: c)**

**Quantity I:**

T= D/S

T = (250 + 200)/[(40 + 60)*5/18]

T = 450/(100*(5/18)) = 16.2 sec

**Quantity II:**

T = D/S

T = (170 + 180)/[(80 – 60)*(5/18)]

T = 350/(20*(5/18))

T = 63 sec

**Quantity I < Quantity II**

**4)Â ****Answer: c)**

**Quantity I:**

Present age of Anitha = 15 + Present age of Rahul

After 10 years, The ratio of ages of Rahul and Anitha = 7 : 10(7x, 10x)

10x â€“ 10 = 15 + 7x â€“ 10

10x â€“ 10 = 7x + 5

3x = 15

X = 5

The age of Anitha, after 4 years = 10x â€“ 6 = 50 â€“ 6 = 44 years

**Quantity II:**

The ratio of present age of Naveen and Priyanka = 3 : 1

The ratio of present age of Gourav and Priyanka = 5 : 3

The present age of Naveen, Priyanka and Gourav = 9 : 3 : 5

The age of Gourav, after 6 years = 21 years

The present age of Gourav = 15 years

5â€™s = 15

1â€™s = 3

Required sum = 17*3 = 51 years

**Quantity I < Quantity II**

**5) Answer: e)**

Percentage of interest received from these schemes

= 5340*100/35600

= 15%

By the rule of allegation,

= > 1 : 1

2â€™s = 35600

1â€™s = 17800

**Quantity I:**

Sum of money invested in scheme A= Rs. 17800

**Quantity II:**

Sum of money invested in scheme B = Rs. 17800

**Quantity I = Quantity II**

**Directions (6-10):**

**6)Â ****Answer: c)**

Let the yellow ball be X,

Probability of getting one yellow ball = 1/7

XC_{1}/(12 + X)C_{1} = 1/7

X/(12 + X) = 1/7

7X = 12 + X

6X = 12

X = 2

Yellow balls in bag A = 2 balls

Total probability = 14C_{3}

The probability of getting at least one pink ball

= > 1 â€“ P(none is pink ball)

Probability of getting none is pink ball

= > 11C_{3} /14C_{3} = 165/364

The probability of getting at least one pink ball

= > 1 – (165/364) = 199/364

**7)Â ****Answer: a)**

Let the white ball be X,

Probability of getting one yellow ball = 1/3

5C_{1}/(12 + X)C_{1} = 1/3

5/(12 + X) = 1/3

15 = 12 + X

X = 3

The total white balls in bag C = 3

Total probability = 15C_{4}

Required probability = 3C_{1} and 5C_{1} and 4C_{1} and 3C_{1}

The probability of getting different color balls

= > [3C_{1} and 5C_{1} and 4C_{1} and 3C_{1}]/15C_{4}

= > 12/91

**Â 8)Â ****Answer: d)**

Let the black ball be X,

Probability of getting one yellow ball = 1/5

4C_{1}/(15 + X)C_{1} = 1/5

4/(15 + X) = 1/5

20 = 15 + X

X = 5

Total number of black balls = 5

Total probability = 20C_{4}

Required probability = 5C_{2} and 15C_{2Â}

The probability of getting 2 pink balls from bag D

**= **> (5C_{2} and 15C_{2Â})/20C_{4}

= > 70/323

**Â 9)Â ****Answer: b)**

Let the pink ball in bag B be X,

Probability of getting one yellow ball = 3/10

6C_{1}/(13 + X)C_{1} = 3/10

6/(13 + X) = 3/10

13 + X = 20

X = 7

The total number of pink ball in bag B = 7 balls

Total balls in bag B = 5 + 6 + 7 + 2 = 20

Let the yellow ball in bag E be Y,

Probability of getting one yellow ball = 1/5

YC_{1}/(12 + Y)C_{1} = 1/5

Y/(12 + Y) = 1/5

5Y = 12 + Y

4Y = 12

Y = 3

The total number of yellow ball in bag E = 3 balls

Total balls in bag E = 3 + 3 + 5 + 4 = 15

Required ratio = 20: 15 = 4: 3

**Â 10)Â ****Answer: a)**

Let the pink ball in bag B be X,

Probability of getting one yellow ball = 3/10

6C_{1}/(13 + X)C_{1} = 3/10

6/(13 + X) = 3/10

13 + X = 20

X = 7

The total number of pink ball in bag B = 7 balls

Total number of pink balls in all the bags together

= > 3 + 7 + 4 + 5 + 5 = 24

Let the yellow ball in bag A be Y,

Probability of getting one yellow ball = 1/7

YC_{1}/(12 + Y)C_{1} = 1/7

Y/(12 + Y) = 1/7

7Y = 12 + Y

6Y = 12

Y = 2

Yellow balls in bag A = 2 balls

Let the yellow ball in bag E be Z,

Probability of getting one yellow ball = 1/5

ZC_{1}/(12 +Z)C_{1} = 1/5

Z/(12 + Z) = 1/5

5Z = 12 + Z

4Z = 12

Z = 3

The total number of yellow ball in bag E = 3 balls

Total number of yellow balls in all the bags together

= > 2 + 6 + 5 + 4 + 3 = 20

Required % = (24/20)*100 = 120 %

**Daily Practice Test Schedule | Good Luck**

Topic |
Daily Publishing Time |

Daily News Papers & Editorials |
8.00 AM |

Current Affairs Quiz |
9.00 AM |

Current Affairs Quiz (Hindi) |
9.30 AM |

IBPS PO Mains – Reasoning |
10.00 AM |

IBPS PO Mainsâ€“ Quantitative Aptitude |
11.00 PM |

Vocabulary (Based on The Hindu) |
12.00 PM |

IBPS PO Mains â€“ English Language |
1.00 PM |

IBPS PO/Clerk â€“ GKÂ |
3.00 PM |

Daily Current Affairs Updates |
5.00 PM |

IBPS Clerk Prelims – Reasoning |
6.00 PM |

IBPS Clerk Prelims â€“ Reasoning (Hindi) |
6.30 PM |

IBPS Clerk Prelims â€“ Quantitative Aptitude |
7.00 PM |

IBPS Clerk Prelims â€“ Quantitative Aptitude (Hindi) |
7.30 PM |

IBPS Clerk Prelims â€“ English Language |
8.00 PM |