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*Aparna*. Today I am sharing some useful practice questions on

**Data Interpretation**and

**permutations & combinations**for upcoming

**SBI PO 2019 Online Exam**. Solutions are given at the end, but I request you to solve these questions on your own and check with the given answers only after completing all 15 questions. Happy Reading :)

**Directions (1-5) : Refer to the diagram below and answer the questions that follow.**

**To percentage break-up of the total income of 5 sales man**

**If the total income of O is Rs. 6000 and of N is Rs. 7000, find the difference in their salaries ?****If the total income of P is Rs. 8000, find the interest he earns from his savings ?**- Rs. 1500
- Rs. 1000
- Rs. 3000
- Rs. 2000
- None of these
**If the incentives of N amounts to Rs. 2000, find his monthly salary ?**- Rs. 8000
- Rs. 4000
- Rs. 6000
- Rs. 2000
- None of these
**If the incentives of M are Rs. 3000, his salary is __________ of his total income.**- 1/4
- 1/2
- 2/3
- 3/4
- None of these
**Which of the following is true ?****I. The salary of M is more than that of P.****II. The salary of N is equal to his incentives.****III. The salary of M is equal to interest earned by N from his savings.**- Only I
- Only II
- Only III
- II and III
- None of these

**Directions (Q. No. 6-10) : These questions are based on the tables given below :**

**The following table gives the percentage change in the sales of mobile phones, over that in the previous year, for five companies.**

Year | 2002 | 2003 | 2004 | 2005 | 2006 |

Company | |||||

Tokia | 10% | 20% | -15% | 25% | 8% |

Zamsung | 15% | 25% | -30% | 8% | 20% |

Notorola | 10% | -10% | 15% | 20% | 15% |

Mericson | -10% | 20% | 10% | 15% | -10% |

Rower | 20% | 15% | 10% | -20% | 30% |

**Note : Here "-" Indicates decrease**

**The following table gives the total sales of the given companies in the year 2001 (number of pieces in million)**

Year | Tokia | Zamsung | Notorola | Mericson | Rower |

2001 | 32 | 48 | 56 | 50 | 60 |

**6. What is the total number of Tokia mobiles sold (in million) in 2006 (approximately) ?**

- 50
- 45
- 48
- 52
- None of these

**7. What is the ratio of the number of Zamsung mobiles sold in 2004 to the number of Mericson mobiles sold in the same year ?**

- 10 : 13
- 121 : 360
- 11 : 12
- 161 : 198
- None of these

**8. What is the approximate difference between the number of Notorola mobiles sold in 2005 and the number of Rower mobiles sold in the same year (in millions) ?**

- 3.5
- 5
- 10
- 13
- None of these

**9. What is the total number of mobile sold by the given companies in 2002 (in millions) ?**

- 253
- 269
- 274
- 263
- None of these

**10. How many Zamsung mobiles were sold in 2005 (in millions) ?**

- 52.164
- 55.384
- 50.286
- 49.268
- None of these

**Directions (Q. No. 11-14) : Study the following line graph carefully and answer accordingly.**

**Percentage of savings of two persons A and B over the years**

**Note : Savings percentage = ( Savings / Income ) x 100%**

**11. The income of A and B are equal in 2012 and in 2013 the income of A is increased by 25% and that of B by 10%. What is the ratio of the expenditure of A to that of B in 2012 and 2013 together ?**

- 67 : 73
- 50 : 51
- 40 : 37
- cannot be determined
- None of these

**12. In how many years did the savings of both A and B increase ?**

- 4
- 2
- 3
- cannot be determined
- None of these

**13. The Savings of B in 2011 were Rs. 1.44 lakh. What were his savings in 2010, if in 2011 his income was increased by 20% over that in 2010 ?**

- Rs. 1.6 lakh
- Rs. 1.92 lakh
- Rs. 2.34 lakh
- Cannot be determined
- None of these

**14. If the incomes of A and B are in the ratio 5 : 4 in 2008 and the sum of their expenditures in 2008 is Rs. 9.25 lakh, then find the average savings of A and B together in 2008 ?**

- Rs. 0.84 lakh
- Rs. 1 lakh
- Rs. 1.2 lakh
- Rs. 1.44 lakh
- None of these

**15. In how many different ways can we arrange the letters of the word PERIOD such that E is always placed immediately before P, and O is always placed immediately before I ?**

- 6!
- 4!
- 4! x 2!
- 4! x 2! x 2!
- None of these

## Solutions :

**1.**

Salary of O is 62.5% of his total income

So, Salary of O = (6.25/100) x 6000 = Rs. 3750

Salary of N is 25% of his total income

So, Salary of N = (25/100) x 7000 = Rs. 1750

=> Difference in their salaries = Rs. (3750 - 1750) = Rs. 2000

**2.**

The interest from P's savings is 25% of his income.

=> Interest from his savings = (25 / 100) x 8000 = Rs. 2000

**3.**

Incentives of N are 25% of his total income and so is his salary.

=> Salary of N is also Rs. 2000

**4.**

Salary of M is 50% of his total income, hence his salary will be 1/2 of his total income.

Note : The actual amount does not matter as figures in percentage can be directly considered for the fractional part.

**5.**

I - Cannot be inferred as the salaries or total income of P and M is not known.

II - Salary of N is 25% of his total income and so is his incentives. Hence, they are qual.

III - Cannot be inferred as the actual figures are not known.

So the answer is option 2.

**6.**

Total number of Tokia mobiles sold in 2006

= 3,20,00,000 x (110/100) x (120/100) x (85/100) x (125/100) x (108/100) = 48 milllion

**7.**

The number of Zamsung mobiles sold in 2004

= 48000000 x (115/100) x (125/100) x (70/100) = 48300000

The number of Mericson mobiles sold in 2004

= 50000000 x (90/100) x (120/100) x (110/100)

= 59400000

=> Required ratio = 483 / 594 = 161 / 198

**8.**

The number of Notorala mobiles sold in 2005

= 56 x 1.1 x 0.9 x 1.15 x 1.2 = 76.5 million

The number of Rower mobiles sold in 2005

= 60 x 1.2 x 1.15 x 1.1 x 0.8 = 73 million

=> The required difference = 76.5 - 73 = 3.5 million

**9.**

Total number of mobiles sold in 2002

= 32 x 1.1 + 48 x 1.15 + 56 x 1.1 + 50 x 0.9 + 60 x 1.2 = 269

**10.**

Total number of Zamsung mobiles sold in 2005 (in millions)

= 48 x 1.15 x 1.25 x .7 x 1.08

= 52.164

**11.**

Let the income of A and B in 2012 be Rs. 100

=> Income of A in 2013 = Rs. 125

=> Income of B in 2013 = Rs. 110

=> Expenditure of A in 2012 and 2013 together

= Rs. 70 + Rs. 125 x (64/100) = Rs. 150

Expenditure of B in 2012 and 2013 together

= Rs. 76 + Rs. 110 x (70/100) = Rs. 153

=> Required ratio = 150 : 153 = 50 : 51

**12.**

As there is no information regarding income we cannot say.

**13.**

Let income of B in 2011 be Rs. 100

Given 15% = Rs. 1.44 lakh

I = Rs. 9.6 lakh

=> Income of B in 2010 = (5/6) x Rs. 9.6 lakh = Rs. 8 lakh

= (1/5) x Rs. 8 lakh = Rs. 1.6 lakh

**14.**

Let income of A in 2008 be 5i

=> Income of B in 2008 = 4i

Given,

(76/100) x 5i + 0/100) x 4i = Rs. 6.25 lakh

=> 3.8i + 3.6i = 7.4i = Rs. 9.25 lakh

=> Average savings of A and B in 2008

= 1/2 (1.2i + 0.4i ) = 0.8i

= 0.8 x (1/7.4) x Rs. 9.25 lakh

= 8 x Rs. 0.125 lakh

= Rs. 1 lakh

**15.**

Consider E and P as one unit as also O and I.

We have four things to be arranged in a straight line (two groups and two alphabets)

Total number of ways = 4!

(Rearrangement within a group is not considered as E and O should be immediately before P and I, respectively).

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